diff --git "a/data/dm_maths/full_data_2/10760_11255.jsonl" "b/data/dm_maths/full_data_2/10760_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/10760_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is 24\/4 + 0 + -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1800923 to the power of 1\/3, to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 362, 108186 in increasing order.\nAnswer: -4, 362, 108186","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**3 + 6*d**2 + 9*d - 10. Let f = -17 - -24. Let i be r(f). Calculate the highest common factor of i and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -3022, -10982, -24242, -42796, -66638, -95762, -130162, -169832?\n\"Answer: i**3 - 2656*i**2 + i - 368","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2340, -4680, -7032, -9402, -11796, -14220, -16680, -19182?\n\"Answer: -m**3 - 2333*m - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 78, 296, 656, 1158, 1802, 2588, 3516?\n\"Answer: 71*z**2 + 5*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 608304, 1216616, 1824930, 2433246, 3041564, 3649884?\n\"Answer: k**2 + 608309*k - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1637250 and 35400?\nAnswer: 6549000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*h*h**(1\/3)*h**(-1\/20)*h assuming h is positive.\nAnswer: h**(197\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -10*k - 4. Let p(d) = 20*d + 7. Let u(z) = -5*n(z) - 3*p(z). Calculate u(1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -958.88 and 0.02?\nAnswer: -19.1776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*y + y + 5*y)*(y**2 - 10*y**2 - 7*y**2 + (3*y + 0*y - 4*y)*(3 - 2*y - 3)).\nAnswer: -14*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**2 - 16*j + 15. Let o be t(15). Let u = 2 - o. Let q = 189\/2 - 92. Which is greater: q or u?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqzzqqzzqz. What is prob of picking 2 q?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 137 + -2?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.09 to one decimal place.\nAnswer: 7.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 3*q - 3 = 10, -q + 7 = 2*w. Suppose -w*p = -109 + 25. What is the greatest common divisor of 6 and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25502 (base 7) to base 10\nAnswer: -6764","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 + 12. Let i = 15 - 13. Calculate the lowest common multiple of i and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1322*d**4 - 20436*d**3 - 818059819*d**2 wrt d.\nAnswer: 31728*d - 122616","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17 + 15. Put 2, x, -3 in decreasing order.\nAnswer: 2, x, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the second derivative of -1967*h**6\/5 - h**4\/2 - 2*h**3\/3 + 3*h**2\/2 + 165*h + 29. Find the third derivative of a(u) wrt u.\nAnswer: -283248*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 272 and 2418.6?\nAnswer: 2146.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 918?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -16.09107 to two dps.\nAnswer: -16.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 100 and 45?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 224 (base 12) to base 9\nAnswer: 381","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 160\/(-48)*18\/20*-2?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11 by 189.\nAnswer: 11\/189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3740 and 34.\nAnswer: 3740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 4*g + v, 26 + 14 = 5*g - 3*v for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) -0.144992 (c) 22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 2*u = 3*r + 78, -2*r - 156 = 3*u. Let n = 204 + r. Calculate the least common multiple of 7 and n.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 e when three letters picked without replacement from aajjaaeaaejaeje?\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 791.8917t in kilograms?\nAnswer: 791891.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 - 4. Let b be 4\/(-7) - (-4280)\/140. Suppose 5*t + p*m = b, t - 2*t + 2*m + 6 = 0. Is 6 not equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 2*u = k - 2, 5*k - 21 = -u. Let a(i) = i**3 - 4*i**2 - 4. Determine a(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:59 AM and 9:01 AM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3589122997 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -23 + 23. Solve 5 = -o - v*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 14*g**2 - 11. Let b(c) be the second derivative of -5*c**4\/12 + 2*c**2 - 3*c. Calculate 4*a(l) + 11*b(l).\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 5912.\nAnswer: -1\/1478","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xnx when three letters picked without replacement from xnnxxnxxnxnnx?\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 374789 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 (base 12) in base 13?\nAnswer: -2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -42 - 692.\nAnswer: -734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > -1\/507009?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1.06 * 0.064\nAnswer: -0.06784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6047799*r + 12476824?\nAnswer: -6047799","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 63102936 and 369?\nAnswer: 189308808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 - 18 + 0)*(10*y - y - 18*y).\nAnswer: 252*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-n + 2*n - 4*n)*(24 - 241*n + 251*n - 6) in the form z + a*n**2 + v*n and give a.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -770 in 5, 1\/3, -1, -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -271*g**3 - 2*g - 1. Let t be w(-1). Suppose 5*i - 508 - t = 0. What is the highest common divisor of i and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -5*f**2 - 9*f - 11. Let h(q) = 6*q + 3*q**2 + 6195 + 0*q**2 - 6188 + 0*q**2. Determine 8*h(t) + 5*l(t).\nAnswer: -t**2 + 3*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -69*u + 26. Let v be i(7). Let g = v - -463. Solve -k = 11 - g for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 61 - 56. Let f(o) = 2*o. Let k(p) = 2*p + 1. Calculate q*f(j) - 4*k(j).\nAnswer: 2*j - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5507361629?\nAnswer: 7, 11, 47, 1521791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-6)\/(-10))\/(-3))\/(((-60)\/(-1100))\/(-3))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -119*i**2 + 34*i**2 + 1 + 128*i**2 + 56*i**2 + 26*i**2.\nAnswer: 125*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 96\/439 - -15119\/13170. Calculate the common denominator of n and -41\/30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*v - 6 = -13 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28482?\nAnswer: 2, 3, 47, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 7043065 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 7, y: 1, t: 1, d: 4}. What is prob of picking 1 d, 1 y, and 1 t?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**3 + 10*a**2 + 12*a - 7. Let o be p(11). Let h(k) = 6*k**2 - 2*k + 11. What is the units digit of h(o)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*c + 3*r + 62 = 0, -4*c - 48 - 39 = -3*r - 121 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 120008 is divided by 119003.\nAnswer: 1005","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -4*o - 3. Let n(u) = u. Let x be (2 - 4)\/(1\/1). Let a(i) = x*k(i) - 6*n(i). Differentiate a(z) wrt z.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4834705 divided by -966941\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 - 8. Suppose 0*a + t*a - 12 = 0. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 3 - x)*(-132*x + 327 - 327) - 3*x**2 + 2*x**2 - 7*x**2 to s*x**2 + z + r*x and give s.\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 918920517 to the nearest integer?\nAnswer: 972","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -5*y - d, -2*d + 15 = 2*y - 7*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 27221089395.8810015 - 27221118070. Let t = 28682.119 + v. Let u = -8 + t. Round u to six decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3}. What is prob of picking 3 r?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, 952, -5.\nAnswer: -5, 15, 952","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0.4 (b) -1 (c) 2 (d) -1150\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -11*v**2 - 600*v - 1 + 1196*v - 596*v. Let o(g) = 6*g**2. Give o(z(b)).\nAnswer: 726*b**4 + 132*b**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c = g - 5, 0 = -5*c + c + 4*g - 8 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -3 (b) -2\/7 (c) 5 (d) -27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -4 times -1477617\nAnswer: 5910468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 696071 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(15) - (sqrt(1815) + sqrt(1815)*-2))\/(3*-1*sqrt(3)) - ((1 + sqrt(80) - sqrt(80)) + -1)*-3*-2)**2.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/780300 and 29\/173400.\nAnswer: 1560600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**3 - 31*m**2 + 135*m - 35. Calculate the remainder when 831 is divided by g(-35).\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69 - 5 = 4*d. Let c be (-1 - 0)\/((-2)\/8). Suppose -g = c*g + 20, 0 = 4*o - 2*g - 88. Calculate the smallest common multiple of d and o.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -90, -0.4, -1.1, 178, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12200*p**3 - 138*p + 138*p.\nAnswer: -12200*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**16*r**(-1\/2))\/(r*(r**(-7)\/r)\/r*r**(-14)\/r) assuming r is positive.\nAnswer: r**(77\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*g + 53*g + 18 = n, 0 = -6*g + 3*n - 45 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (-4 + 14 + -2) - 9.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -11*d - 17. Let n be p(29). Let b = -125 - n. List the prime factors of b.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 20 = -3*s. Suppose -s*f = -13*f. Suppose 12 = -f*y + 2*y. Let n(t) = -t + 2. What is n(y)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, f: 2, k: 6, i: 3}. Give prob of sequence ffio.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-4)*u**(-1\/3)\/u)\/((u\/(u*u**(-1)))\/u*u)**(3\/38) assuming u is positive.\nAnswer: u**(-617\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1328 and 232068?\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 49 * 0.1.\nAnswer: 4.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 1607050?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8 and 513?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12 + 14. Let f(v) be the second derivative of b*v - 5*v**2 - 1\/6*v**3 + 0. Determine f(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -97, -416, -969, -1774, -2849?\n\"Answer: -3*w**3 - 99*w**2 - w + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times 18.18?\nAnswer: -90.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**2. Let g(v) = -9861*v - 26250. Determine g(h(r)).\nAnswer: 9861*r**2 - 26250","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 1709.52906 to the nearest integer.\nAnswer: 1710","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the second derivative of 0 + 0*b**3 + 11\/2*b**2 + 0*b**4 - 1\/10*b**5 - 13*b. Differentiate z(f) wrt f.\nAnswer: -6*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 25 + -15. Suppose -j*n + 5*n + 8 = -2*y, 4*y = 4. Solve -5*f = -n*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 2*l**2 - 28648*l + 171879. Determine y(6).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 7*k. Let t(m) = -65*m - 8. Calculate 24*f(a) + 3*t(a).\nAnswer: -27*a - 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -371, -541, -499, -245, 221?\nAnswer: 899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16 - 12. Suppose -h - 2*h = 3*a + 9, 0 = -2*a + 4*h + 24. Let y be a\/(-8) - 159\/(-12). Solve -p*m = -m + 5*j + y, -20 = 4*j for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 414681179?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**3 + 6*z**2 - 4*z - 3. Let g be b(5). Let l = g + 0. Suppose -l*t + 10 = -4*t. Put t, 5, 4 in descending order.\nAnswer: 5, 4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -65*l**2 + 263*l - 49. Determine k(3).\nAnswer: 155","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i + 0*i - i)*(118 - 64 - 11*i - 55)*((4 - 4 - 1)*(-1 + 2 + 0) + 4 + 7 - 2)*(8 + 5*i - 8).\nAnswer: 440*i**3 + 40*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 72697163?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -204, 1\/2, -2 in descending order.\nAnswer: 1\/2, -2, -204","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -u + 55, -3*u - 110 = -5*u + 2*l. Suppose -1210 - 385 = -39*n - 308. Calculate the greatest common factor of u and n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 2 o when three letters picked without replacement from kouo.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 - 24 = 7*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/(((j**20\/j)\/j)\/j)*j*j\/(j**26*j)*j*j\/(j*j\/(j**(-12\/5)\/j))*j*j*j*(j*j\/j**(-2\/21))\/j*j*j assuming j is positive.\nAnswer: j**(-4022\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (33 - 10 - 13 - (3 + 35))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56673 is divided by 2576.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 6.381392m?\nAnswer: 638.1392","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 3*z - 4, -2*j = z + j - 18. Suppose 2231 = z*w - p + 3*p, -3689 = -5*w + 4*p. Does 10 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -246137014*g**2*s - 4*g*s - 9*g + 2*s - 377774 wrt g?\nAnswer: -492274028*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:19 AM and 2:56 PM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 11473597 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.96814nm to meters.\nAnswer: 0.00000000096814","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6905088 to the power of 1\/3, to the nearest integer?\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43 (base 8) to base 6.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 359958274 to the power of 1\/2, to the nearest integer?\nAnswer: 18973","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 11 = -3*o + 2*o, -5*o - 3*p = 33. Calculate the remainder when 20 - -2*o\/(-6) is divided by 9*1 + -1 + 0.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -77 + (-22 - (-4 - (-4 - (4 - 17)))).\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86*v - 1161 - 672 = 59 for v.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*d**2 + 6*d - 22*d**2 + 19*d**2.\nAnswer: d**2 + 6*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5229090995?\nAnswer: 5, 3061, 341659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -85676*b*n**3 + 269*b*n**2 - 323*n**2 wrt n?\nAnswer: -514056*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 316, 333, 360, 397?\n\"Answer: 5*y**2 + 2*y + 309","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-26))**(-3\/2)\/(p**(-15)\/(((p\/p**4*p)\/p)\/p)))**(-33) assuming p is positive.\nAnswer: p**(-1650)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 37942645159 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83 - 111 = 28*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 1 - 2 + 1 + 43*u - 40*u. Suppose h - 8 = -h. Let v(c) = -5*c - c - h*c. What is v(w(l))?\nAnswer: -30*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 939329?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6383?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 796 a factor of 16324731?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 32 + -129\/4. What is the second biggest value in p, 3, -0.5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f**2 + 50*f - 125 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 25*i - 14. Let b(k) = -60*k + 29. Give -3*b(g) - 7*o(g).\nAnswer: 5*g + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 855 - 177*b - 855 + 2*b**2 + 57*b.\nAnswer: 2*b**2 - 120*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -22 (b) 23 (c) 107677\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -32 + 61. Suppose 31 = 3*i - w. What is the lowest common multiple of 12 and i?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**3 - 19*n**2 - 18*n - 1. Let r be t(20). Let a be r\/9 + 2 + (-21)\/9. Suppose 499 = a*g + 75. What are the prime factors of g?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - 2*n - 5 = 0, 3*w - 2*n = -n for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**2 + 6*l - 24. Let k be m(5). Differentiate -2*p**3 - 64*p + 23*p - 89 + k*p wrt p.\nAnswer: -6*p**2 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -26 + 2?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 3.83 * 1230\nAnswer: 4710.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -20*r. Let s(m) be the third derivative of m**7\/1260 + m**5\/20 + 7*m**3\/6 + 50*m**2. Let o(d) be the third derivative of s(d). What is v(o(u))?\nAnswer: -80*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -2.9 * 125\nAnswer: -362.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**3 - 14*g**2 + 27*g + 11. Give r(7).\nAnswer: -143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.112 - -0.908. What is d rounded to one dp?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -5098, 0.1, 2\/5, -1\/8, 3\/13?\nAnswer: -5098","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13 - -14. List the prime factors of 3\/v - -47 - -3.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 286 and 130?\nAnswer: 1430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -669\/472 - -5\/118. What is the common denominator of -37\/8 and r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -457*u**3*z**3 - 8995*u**3*z**2 - 6*u**3 + 5*u**2*z**3 - 6*u*z**3 wrt z.\nAnswer: -2742*u**3 + 30*u**2 - 36*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 - 6. Let r(p) = p**2 + p**x + 0*p**2. Let w(o) = 5 - 36*o - 13 + 34*o + 8. What is r(w(h))?\nAnswer: 8*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence exux when four letters picked without replacement from xexuuuu.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2)*(-2*h - 2*h + 6*h) + (1 + 6 - 5)*(18*h + 43*h - 99*h).\nAnswer: -72*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 25937456 rounded to the nearest one hundred thousand?\nAnswer: 25900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17 - 38. Let j(v) = -2*v**2 - 41*v + 23. Let k be j(z). Suppose -11 = -k*g + 11. Is g a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and -22.9.\nAnswer: -9.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 4*j = 0, 4*q + 2*j - 13 - 5 = 0. Suppose l + q*p - 8 = 0, -3*l = 3*p + p - 16. Suppose 6 = -t - 2*t. What is the closest to t in l, 0.2, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20196?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12347*z - 940 = 6075*z + 6084*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/129402 and 77\/702.\nAnswer: 388206","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -16bcb (base 13) in base 6?\nAnswer: -534345","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -9*c + 5*c. What are the prime factors of c?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -3*z + 7. Let q be -4*-2*(-1)\/4. Let p(f) = -f + 7. Let h(l) = -l + 8. Let b(o) = -5*h(o) + 6*p(o). Let a(d) = q*n(d) + 7*b(d). Give a(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -34 divided by -45350\nAnswer: 17\/22675","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 3 - 21*s**4 + 22*s**4 + (146 - 19*s - 146)*(2 - 2 + 2*s**3) to c*s**2 + l + b*s**4 + p*s**3 + q*s and give b.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m. Let r(c) be the first derivative of -c**2\/2 - 2*c - 2. Let a be r(-4). Let n(z) = -5*z**a - 14 + 14. What is n(l(u))?\nAnswer: -5*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zkyy when four letters picked without replacement from {z: 6, y: 4, k: 5}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 113, 532, 1253, 2282, 3625, 5288, 7277, 9598?\nAnswer: 12257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - 4 - 2*l**5 + (2*l**4 - 2*l**4 - l**5)*(1 + 8 - 8).\nAnswer: -3*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.84 + -0.16. Which is the nearest to -1? (a) -0.3 (b) 0.11 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10.9001 + -0.1699. Let z = -11.5 - y. Let h = z - -0.38. Which is greater: -9 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ngbbjbbjnioj. What is prob of picking 1 j and 1 o?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*q + 3*r - 33, 155*q + r - 11 = 160*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -12*t - 8 + 3*t**3 - 4*t**3 - 7*t**2 - 3*t. Suppose -3*f - m = 22, -4*m + 13 = 29. What is the tens digit of j(f)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3\/977956 or 0?\nAnswer: 3\/977956","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the second derivative of 4*c**4\/3 + 28*c. Let t(y) = 4*y. Give i(t(d)).\nAnswer: 256*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 56386 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 955, 3811, 8563, 15205, 23731, 34135, 46411?\n\"Answer: -f**3 + 954*f**2 + f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z\/((z**10*z*z)\/z)))\/z*z*z*(z*z**(-10)*z*z)\/z*z)**(-33) assuming z is positive.\nAnswer: z**(-165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in -1\/3, 0.9, -4, 0.2?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (-1)\/((-14)\/60)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 0 + 0 - 20292*h**2 + 27351*h**2 - 3594*h**3 wrt h.\nAnswer: -21564","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5472) + (sqrt(5472) - 2*sqrt(5472)) - sqrt(5472))\/(-4*sqrt(6)\/sqrt(3)).\nAnswer: 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3296135 is divided by 875.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 61541?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.311 * -2\nAnswer: -0.622","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the third derivative of 7*x**4\/24 - 7*x**3\/6 + 582*x**2. What is o(-8)?\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -111024 divided by -12336\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -6*m**2 + 548*m - 11037. Calculate p(30).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -31045, 1, 2, -17 in increasing order.\nAnswer: -31045, -17, -6, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 47 + 17 = 0. Let k = -21 - x. Let c = 13 + k. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2110\/6 - (-4)\/12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((0\/4)\/4)\/5\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.5928 + -33.4072. Is j greater than 5\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -108 - -112. Solve -3*u - 9 = -q, c*q - 4*u - 10 = 2*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -52 + -14 + 42 + 15.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 312 + -320. Let d(a) be the third derivative of 150623*a**4\/12 - 16*a**3\/3 - 3*a**2. Let w be d(p). What is w rounded to the nearest 100000?\nAnswer: -2400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 707?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6059139.\nAnswer: 3, 2019713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -240562*a**4 + 14*a**3 + 713*a**2 - 4369*a?\nAnswer: -5773488*a + 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -247 + 247. Let s = 197602\/33 - 5989. Let m = s + -3\/11. Is m greater than or equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 274075.\nAnswer: 5, 19, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a litre in millilitres?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 34 + -321900?\nAnswer: -321866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 338363 is divided by 723?\nAnswer: 722","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**2 - 5*f + 6. Let p be w(6). Suppose 2*r - p = r. Is 6 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(52)\/(sqrt(144)*-2))**2.\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are -288004 and -288007 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -467.69 - -464. Let y = 0.31 - v. Let x = -1\/10 - 11\/90. Which is the smallest value? (a) x (b) y (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2420, -7 in ascending order.\nAnswer: -7, -5, 2420","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 2*n - 3. Let j be l(4). Suppose 151 = j*t - 3259. What are the prime factors of t\/6 - -4*6\/72?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.5? (a) 0.057 (b) -3 (c) 0.7 (d) -5 (e) -2\/7 (f) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-14)\/(-3) - 12\/(-36). Suppose -q*k + 3*i + 97 + 54 = 0, 3*k - 4*i = 84. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(4 + -2*sqrt(475) + 4))**2 - ((-4 + sqrt(19)*2)**2*5 + 4)*6.\nAnswer: -5280*sqrt(19) + 67920","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 19941075 divided by -2\nAnswer: -19941075\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 39723 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 2*p**4 - 4*p**3 - 10*p**2 - 4. Let r(w) = -1 - 2*w**2 - 5*w**2 - w**3 + 3*w**2 + w + 3*w**2. Let k(a) = -4*r(a) + u(a). Suppose k(d) = 0. What is d?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 20*t**3 + 17*t - 17. Let d(j) = -6 - 11*j + 8*j**3 - j**3 + 17*j. What is -17*d(x) + 6*m(x)?\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 4*r - 4*m - m, 16 = -2*r - 4*m. Solve r = -2*b + b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.014726 to 3 dps.\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 33\/74 + 2\/37. Factor -4*s + 8*s**2 + j.\nAnswer: (4*s - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**9)**(-19) assuming j is positive.\nAnswer: j**(-171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the second derivative of -p**3\/3 + 3*p**2 - 8*p. Determine h(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 89, 119, 145, 167, 185?\nAnswer: 199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 135*o + 45. Let q be n(5). Let i be (-14)\/10 + 1 + q\/50. Suppose 785 = -i*a + 19*a. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*u**5\/11 + 90*u**4\/11 + 468*u**3\/11 + 1068*u**2\/11 + 1062*u\/11 + 378\/11 = 0.\nAnswer: -7, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (28\/15*585\/(-702))\/(22\/396)\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 4*l + 1 + 2 + 2*l - 4*l. Let n be (-20)\/6 + 1\/3. Let t(h) = 3*h + 5. Let v(k) = n*t(k) + 5*y(k). Let d(o) = -4*o. What is v(d(z))?\nAnswer: -4*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 104\/364*(-91)\/15 and (-4)\/(-6)*(-335)\/210.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*y + 8, 4*m = -3*y + 269 - 287 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1560 a multiple of 104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 z, and 1 u when three letters picked without replacement from {q: 6, d: 2, u: 1, g: 1, z: 7}.\nAnswer: 7\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 37 - 2. What are the prime factors of d?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1500 - -1502. Solve -12 = -v + 3*r, -2*v + m*r - 5*r = 21 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 5*r - 267 = 0. What is the remainder when r is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0, -5, -6, 104 in increasing order.\nAnswer: -6, -5, 0, 4, 104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(100) - sqrt(4))\/sqrt(2) - (-4*sqrt(16))\/sqrt(8)).\nAnswer: 1 + 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.9 times -0.14?\nAnswer: -1.106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 56*d + 670. What is o(-12)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*v - 4*t - 17 - 20, -8 = v + t for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2179*t + 3232*t - 1 + 1.\nAnswer: 5411*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 + -1)\/(2\/(-16)). Suppose 0 = i*k - 3*k - 50. Let g(a) = a**3 - 9*a**2 - 9*a - 8. Let z be g(k). Solve h - z*n - n + 2 = 0, -3*n = -3*h + 6 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*f - 3*f - 353*f**2 + 3*f.\nAnswer: -353*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 6503 to the power of 1\/2, to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -416 = 886*z - 860*z for z.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1904166257 to the power of 1\/2, to the nearest integer?\nAnswer: 43637","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 156\/(-22)*-2 - (-142)\/(-781).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80*u = 9*u - 1246. Solve 44 = 29*k - u for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(((-9)\/39)\/3). Let p = h - -8. Let t = 13 + p. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**2 + 21 - 2 + 2*f + 26*f + 2. Does 17 divide b(23)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10111001110101 (base 2) to base 10\nAnswer: -11893","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 249?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**3\/3 - 2051*q**2\/3 - 8216*q\/3 - 2740.\nAnswer: (q - 2055)*(q + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13 - 9. Suppose -c*s + 3*s - 5 = 0. Let j be 7 - 4\/(-2 + 4). Sort s, 3, j in increasing order.\nAnswer: s, 3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, y: 3, j: 3, w: 1, n: 2, d: 1}. What is prob of picking 2 n and 2 w?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 419 - 151. What is the tens digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.014436 to four decimal places.\nAnswer: 0.0144","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 810 and 150.\nAnswer: 4050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 149 > 87?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9235 - 1182093\/128. Does p = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/18*(-24)\/16?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/406 and -9\/89204?\nAnswer: 624428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-68)\/(-53550)*15)\/(2*2\/(-20))?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92*a + 88*a - 2*z + 117964 = 0, -z = 2. Does 249 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 7*v - 14. What is the tens digit of l(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b + 2. Let i be m(0). What is the third derivative of 2*w**2 + 6*w**3 - 11*w**i - w**2 wrt w?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(300) + 2)**2 + sqrt(300))*3 - (sqrt(300) + 3 + sqrt(300) + 4 + sqrt(300) + sqrt(300))**2) + 6*(sqrt(300) + 4*sqrt(300) + -3)**2 + -2.\nAnswer: -2210*sqrt(3) + 41115","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 5*g. Let p be -1*3*(1 - 4). Suppose 0 = 6*y - y - 10, -k - p = -5*y. Let i(v) = v. Calculate k*j(x) - 6*i(x).\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2 + 146*m - 1364.\nAnswer: -2*(m - 62)*(m - 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in seven quarters of a tonne?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 2*g**2 + 5*g + 41. Let h be o(10). Suppose -58 = -293*q + h*q. Calculate the smallest common multiple of q and 1.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -121502 equal to -121499?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 138828*n**2 - 138076*n wrt n.\nAnswer: 277656","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.9814148 rounded to 2 decimal places?\nAnswer: 19.98","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j + 5*z + 80495, -2*z + 48317 = -132*j + 135*j. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4.9 and -3.\nAnswer: 1.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-24)\/(-252) - 1772\/84. Sort -1, -3, -5, n, 5.\nAnswer: n, -5, -3, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the second derivative of s**3\/3 + 6*s. Let g(j) be the first derivative of -8*j**3 + 3*j**2 + 312. What is a(g(v))?\nAnswer: -48*v**2 + 12*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3987312 and 23856.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + ((-9 - -3) + 8 - (-3 - -4)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**3 + 4*y**2 - 4. Let o be k(4). Let l = -4908 + 4911. Let f be (-3)\/(0 + (l - o)). Which is the biggest value? (a) -10 (b) 3\/7 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -104 (base 5) in base 4?\nAnswer: -131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 104211248 to the nearest integer?\nAnswer: 10208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -19*c - 10 + 10 + 26*c**2 + 5*c**2 wrt c.\nAnswer: 62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 460 and 9972?\nAnswer: 1146780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -146.2 - -143.2. Let g = 65.3 + -70. Let t = -5 - g. What is the third biggest value in 0.3, t, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -348 + -81?\nAnswer: -3c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-10))\/((-25)\/(1500\/(-4))).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5562.51232 + -5563. Round h to 1 decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 694 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 3*o + 1 + 3*o - 5*o. Suppose -3*y = 16 - 67. Let f = -14 + y. Determine u(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y = 5*n + 29 - 46, y - 16 = -5*n for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 1*(sqrt(13) + -1) + (sqrt(832) - -5*(sqrt(832) + sqrt(832) + 0 - sqrt(832))**2) + 0.\nAnswer: 9*sqrt(13) + 4160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 176 - 175. Suppose -1 - 2 = -s. Let g = 41 - 291\/7. Which is the nearest to x? (a) s (b) -3 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (55\/30)\/(4\/416). Let f = 207 - d. Let z = -925\/57 + f. Is -2 smaller than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 111 = 8*t + 23. Let r be 3\/18 + (528627\/18)\/t. Round r to the nearest one hundred.\nAnswer: 2700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 828563 = -47*p + 45*p, -4*p + 1657162 = 2*a. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/((-567)\/28)*(-4)\/((-40)\/(-3)).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -159*q + 7207. Let y be u(45). Suppose -2*l + 117 = l. What is the greatest common factor of y and l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5008 divided by -7\nAnswer: -5008\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20489785?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 3 + 4 - 41*a as u*a + s and give u.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -21788083*d**2 - 57469526*d.\nAnswer: -43576166","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 143.0985 years in months?\nAnswer: 1717.182","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes after 6:56 AM?\nAnswer: 11:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = b + 20. Suppose 2*j + 20 = 6*j - 4*t, b*j = -2*t + 18. Suppose -44 = j*s - 360. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 12, a: 3}. What is prob of sequence amaa?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**3 + 5*r**2 + 5*r + 7. Let h be a(-2). Suppose 7*q - h*q = -406. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 130816419.\nAnswer: 3, 29, 1503637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 455334?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -95\/1071 + -1\/153. Let p = -67\/474 - 2\/79. Which is greater: p or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1950 divided by -6?\nAnswer: -325","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = f, 0 = 3*y - 9*f + 4*f - 34. Let z = y - -132. Is z a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.01 - -67.99. Let k = 69.0000576 - l. What is k rounded to five dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6237.698s in microseconds?\nAnswer: 6237698000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 - 21 + 81*q + 30 - 9*q to n*q + m and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 140.88504 months to centuries.\nAnswer: 0.1174042","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**2 - 1 - 23*n**3 + 2*n**2 - n + 74*n**3. Suppose s + 11 = 10. Find the common denominator of y(s) and -23\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, 5, -3, 3575?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14 - -2. Suppose 82 = 5*c + 27. Let u = c - v. What is u rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39318231?\nAnswer: 3, 563, 23279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(-1)*6*(-3)\/24. Let x = 3 - 7. What is the nearest to x in 4, -1\/5, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -455 + 529 - (41 - -8)\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:22 AM and 2:52 PM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -124 + 173. Suppose 5*v - k = 66. List the prime factors of v.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -10*x**3 - 3*x**2 + 4055*x + 8. Let f(h) = -4*h**3 - h**2 + 1352*h + 3. Determine -8*f(c) + 3*o(c).\nAnswer: 2*c**3 - c**2 + 1349*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*(-13)\/(-7293)*17.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0829702 millilitres in litres?\nAnswer: 0.0000829702","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13821 to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 251.7 - 567.4. Let z = 280 + j. Which is smaller: z or 0?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -419 > 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36290252?\nAnswer: 2, 29, 269, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24 - 16*o - 24 + (-3*o + o + o)*(-3 + 5 - 4) to the form m + k*o and give k.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 70653959 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of 1\/10*c**2 - 1\/15*c**3 + 2\/5*c - 50. Find y such that f(y) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-30)\/4*12\/(-30). What is the second derivative of -18*y - 17*y + 4*y**i - 22*y + 35*y wrt y?\nAnswer: 24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -16*b - 1. Let v(f) = -33*f - 2. Determine 5*k(s) - 3*v(s).\nAnswer: 19*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the first derivative of -91*u**3\/3 + 4*u**2 - 2869*u + 572. Find the first derivative of p(w) wrt w.\nAnswer: -182*w + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 175903 is divided by 4606?\nAnswer: 875","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 49943\/6597 - 11\/733. Solve -16\/9*c**2 + 2*c**5 + 0 + 56\/9*c**3 + 0*c + q*c**4 = 0.\nAnswer: -2, 0, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2583 is divided by 162?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 149\/114 + -37\/38. Let r = 229 - 2517\/11. Let b = -0.3 + 0.2. Sort -4, r, b, n.\nAnswer: -4, b, r, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/(-10))\/(41\/(-410)). Suppose -4*p = -y + 14, -y - 2*p = -2*y + 8. Find the third derivative of -o**k - 3*o**5 + y*o**5 + 7*o**5 wrt o.\nAnswer: 360*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/5 or 84?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 50407631 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -2*k**3 + 11*k**2 - 7*k + 62. Give q(6).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 129 - 67. Let h = 5937.4 + -5935.4. Put h, l, -0.5 in ascending order.\nAnswer: -0.5, h, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1)*b)\/(b\/(b*(b\/(b*b\/b**(1\/6)))\/b)*b)*b\/((b**3*b)\/b*b)*b**1*(b**(1\/9)*b*b*b**4\/b)\/(b**1)**7 assuming b is positive.\nAnswer: b**(-121\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -4 + (sqrt(28)\/sqrt(4))**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(5) + sqrt(5) + sqrt(5) + -1)**2 - (-2 + sqrt(720)).\nAnswer: -182 + 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 154234.28 minus -14.884?\nAnswer: 154249.164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 207 - 144. Let p be (-110)\/4*8\/(-10). Suppose -5*f + 5*c + 110 = c, -f + p = c. What is the remainder when o is divided by f?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 32889126 and 976?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 881 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.0511911 * 3\nAnswer: -0.1535733","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 134648.\nAnswer: 2, 16831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rcr when three letters picked without replacement from {c: 2, r: 6, k: 3, v: 1}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 15\/10*448\/12. Suppose -4*o + d = 3*o. Factor 3*u**2 - o*u + 0*u**2 - u**2.\nAnswer: 2*u*(u - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 2*f. Suppose -t + 4*t = f. Suppose -3*r + 44 - 5 = 3*p, 2*p + 5*r - 17 = t. Solve 4 + p = -4*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 29 + 1. Calculate the highest common factor of v and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35.6 times -180?\nAnswer: -6408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**(-2\/9))**(1\/6))**1 assuming g is positive.\nAnswer: g**(11\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -69, -152, -379, -822, -1553, -2644, -4167, -6194?\n\"Answer: -12*g**3 + g - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -469*c + 474*c - 15 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ijfefifftfjf. Give prob of picking 1 e and 1 t.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*c**2 - 3*c - 5 + 3*c + (5 + c**2 - 5)*(-3 - 3 + 5) to the form l*c**2 + m + d*c and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -56106 - -56026.941. Let q = f - -79.5. What is q rounded to one dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 5*k - 1 + 16, 4*p - 132 = -4*k. Suppose -5*t = 4*x - p, x = -4*x + 25. Solve -4*s = 5*i - 15, 4*i + s = t*s - 9 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0*-3*(-1)\/3. Suppose 2*o - y + 3*y = 16, h = 2*o - 2*y - 4. Let d = -0.21 - -0.01. Sort o, -2, d in descending order.\nAnswer: o, d, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the first derivative of 4*l**3 + 8*l - 6. Differentiate c(o) with respect to o.\nAnswer: 24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -75395*f - 5202337. Give v(-69).\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 100691 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.922 + -0.222. Let j = -3.6 + l. Which is the biggest value? (a) j (b) 93 (c) 2\/13 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18*o**2\/5 + 55832*o\/5 - 12408\/5.\nAnswer: 2*(o + 3102)*(9*o - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2307.992 - -2308. Which is the third smallest value? (a) f (b) 4 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 118.992 to the nearest ten.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1832 is divided by 1828?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/(-4)*18\/1755*13.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*m + 15*m - 9*m - 13*m.\nAnswer: -11*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 198.1 from -354.05.\nAnswer: -552.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - -2. Suppose o - 2*o = p. Suppose 6*q - 1 = -13. Do o and q have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + -8 + 380\/25?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*(t**(-1)\/t*t)\/t)\/t*t)\/t)**22\/((t\/t**3)\/((((t**4*t)\/t)\/t)\/t*t)) assuming t is positive.\nAnswer: t**(-39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1511380, -3022766, -4534152, -6045538, -7556924?\n\"Answer: -1511386*d + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -126049871, -126049872, -126049873, -126049874, -126049875, -126049876?\n\"Answer: -w - 126049870","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - 11. Let z = m + 17. What is the remainder when 23 is divided by z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19897069 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(1\/16)\/i*i)**(-12) assuming i is positive.\nAnswer: i**(-3\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 952 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48725 is divided by 1249?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9 and 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zqcccgqgtttcztgtzggj. Give prob of picking 3 g and 1 z.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (410\/(-3))\/(80\/(-120)) is divided by 103?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1280 divided by -5?\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -35 + 31. What is the fourth smallest value in 3, 5, g, -2\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*d + 13*d - 17*d)*(2*d**2 + 4*d**2 - 2*d**2) - 3*d**3 + d**3 - 9*d**3 + 6*d**3 - 4*d + 4*d.\nAnswer: 43*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 86039923 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**3 - 14*c**2 - 13*c + 5. Determine v(-13).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 16737959 + -3?\nAnswer: 16737956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*z - z + z)*(-1 - 2 + 4) + 4 - 4 - 4*z + (-2*z + 4*z - 3*z)*(-1 + 3 + 1) - 8 + 8 + 5*z + z + 3*z - 2*z as q + m*z and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 21324560 divided by 8?\nAnswer: 2665570","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 151684 and 1365156?\nAnswer: 1365156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 356856373?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14376952?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**3 + 3*w**2 - 4*w + 10. Suppose -12*o + 117 = -51*o. Let t(b) = b**2 - b. Calculate o*t(m) + r(m).\nAnswer: m**3 - m + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 135*s - 131*s = -456. Let w be (s\/76)\/((-3)\/6). Solve -4*g + 3 = -3*i, -w*i + 7*i = -g - 23 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**3 - 5*y**2 - 7*y + 6. Let n be r(6). Suppose o - 4*o + 12 = n. What is the third derivative of 3*b**4 - 4*b**o + b**2 - 2*b**2 wrt b?\nAnswer: -24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -359. Let u(c) = -c + 361. What is 4*p(r) + 3*u(r)?\nAnswer: -3*r - 353","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -9316 - -c?\nAnswer: -9308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8*o*t**2 + 798*o*t - 127*o - t**2 - 184937*t wrt o.\nAnswer: 8*t**2 + 798*t - 127","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 3*4\/(-6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.26 - 0.13. Let o = 1.13 - h. Let w = 94.4 - 94.8. Which is the fourth smallest value? (a) o (b) w (c) 5 (d) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 17*z**3 + z**2 - z + 1. Suppose 0*x - 4 = -2*x. Is m(x) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*10*(((-7437)\/148)\/67)\/(10\/(-5))?\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 4255344, 8510687, 12766030, 17021373?\n\"Answer: 4255343*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -8 - 1036\/(-136) - 16\/136. Let j be (-1)\/(-2) + (-203)\/90. Let b = j + 14\/9. Is k > b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.452082 >= 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -r**3 - 19628*r**2 + 7*r + 227 wrt r.\nAnswer: -6*r - 39256","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 11394 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.1 + 0.1. Let k(n) = -n**3 - 14*n**2 + 13*n - 23. Let y be k(-14). Let v = -1843\/9 - y. Put -0.1, d, v in decreasing order.\nAnswer: v, d, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 50 - 30. Let s(c) = -c + 15. What is the smallest common multiple of x and s(-5)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (32\/48)\/(16\/216)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*a = -28*a - 85 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104*m + 318 + 1180 = -822 + 32 for m.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -3*h**2. Let d = -10 - -15. Suppose -d*x + 3*m + 16 = 0, -2*x = 5*m - 10*m - 14. Let r(z) = 2*z - z - 3*z - x*z. Determine r(y(k)).\nAnswer: 12*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 74*o - 3. Let p(k) = -223*k + 8. Let x(h) = 8*m(h) + 3*p(h). Let g = 644 + -645. Is x(g) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d - 5*m - 6551, 4*d - 10400 = -m + 2757. Let w = -16733\/5 + d. Which is bigger: w or -59?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 - 2\/(-4)*2. Let l(c) be the second derivative of c**4\/4 - 2*c**3\/3 + c**2 + 5*c. Give l(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 22684740?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1074197 divided by 1074197\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75108.\nAnswer: 2, 3, 11, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19267 + -19214. Calculate the remainder when m is divided by 26.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 622222251?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 19182178*n**6 - 9858940*n**2 wrt n.\nAnswer: 2301861360*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 554956489?\nAnswer: 23, 24128543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 22767913087 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5872469, -23489917, -52852329, -93959705?\nAnswer: -146812045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/125 of a microgram in nanograms?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h = -590*q + 586*q - 29, 2*h + 15 = -5*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 11, e: 2}. What is prob of sequence ede?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes before 6:38 AM?\nAnswer: 5:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 49*k - 5. Let o(l) be the second derivative of 4*l**3 - l**2 - 17*l + 24. What is -3*j(v) + 7*o(v)?\nAnswer: 21*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1978565?\nAnswer: 5, 19, 59, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uh when two letters picked without replacement from auzzhhdudduhuazazdh.\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/29331 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10 - -6. Let j = 25.8 + -28. Let w = j + 0.2. What is the nearest to 0 in w, b, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 51 and 2.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 43\/4 of a kilometer?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -8\/105 and 3\/77.\nAnswer: 1155","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes after 1:47 PM?\nAnswer: 4:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1314 and 5623044.\nAnswer: 16869132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 187 = -5*a + 157 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 57744?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -12491, -12497, -12507, -12521, -12539?\n\"Answer: -2*o**2 - 12489","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 1 = -3. Let g(r) = r**3 - 8*r**2 - 8*r + 11. Suppose 3*q - 4 - 23 = 0. Calculate the least common multiple of h and g(q).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2275232 to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 8003.701 years?\nAnswer: 8.003701","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58968?\nAnswer: 2, 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 103352, 203650, 303948, 404246?\nAnswer: 504544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 7500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3308171 and 349.\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 + 4*h**2 + 5*h - 3. Let p(x) = 5*x**3 + x**2 - 2*x. Let c be p(1). Let j be (-16)\/(-24)*30\/c. Suppose j*v + 4 = 29. Determine b(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*-5*(sqrt(77) - (sqrt(77) + (sqrt(77)*2 - sqrt(77)))*6))\/((-1*sqrt(121)*-1)\/(sqrt(11) + 6*sqrt(176) + sqrt(11))))**2.\nAnswer: 57257200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -24 - -20433?\nAnswer: 20404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -720, -1038, -1342, -1626, -1884, -2110, -2298?\nAnswer: -2442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 10705?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/2 + -3)*(-18)\/(-4). Let l(u) = u + 12. Let b be l(h). Solve 4*o + 12 = -n + b*n, -n = o + 3 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 4, z: 1, n: 2, d: 1, w: 10}. What is prob of picking 1 g and 2 n?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 8 + -18410685830576\nAnswer: -18410685830568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-9\/7)\/(u*u\/u**(1\/2)) assuming u is positive.\nAnswer: u**(-39\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t**2\/7 + 3592*t\/7 - 1612808\/7 = 0.\nAnswer: 898","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the first derivative of w**6\/120 + w**5\/60 - 3*w**2\/2 + 2. Let o(c) be the second derivative of j(c). Find the third derivative of o(h) wrt h.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than or equal to 3\/361?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000749 to six dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -8 + 20 - 8*g + 7*g**2 + 0*g + g**3. Let f be l(-8). Let s = f + 81. List the prime factors of s.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-12)*(-45)\/(-6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 46157023*h**3 + 201661744*h.\nAnswer: 276942138*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -4835, -9623, -14411?\n\"Answer: -4788*f - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2789 a factor of 878663294?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 200621 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.18756*9.27\nAnswer: -1.7386812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.42112 rounded to two dps?\nAnswer: -15.42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -b**3*p**2*z**2 - 2*b**3*z**3 + b**3*z + 2*b*p*z**2 + 2*b*z**2 + 44*p**2*z**3 wrt z.\nAnswer: -12*b**3 + 264*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 367, 378, 355, 280, 135, -98?\n\"Answer: -3*g**3 + g**2 + 29*g + 340","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 170 = 5*j - 3*p, 0*j = -3*j + 5*p + 86. List the prime factors of j.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + b = 205, 2*b + 2*b = -4. Let y = t + 192. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/8 + 25\/(-4). Let b(v) = -2*v. Let h(s) = 2*s + 0*s - 1 + 2*s + 2*s**2 - s**2. Let j be h(-5). Let r(y) = -y. Give j*b(l) + x*r(l).\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 94935, 189868, 284801?\nAnswer: 379734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:58 AM and 11:04 AM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -4*h - 18. Let v be g(-5). Let b be 9144\/(-56) - v\/(-7). Let k = -54 - b. List the prime factors of k.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*a - 6*a + 4*a + 5*a.\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 14, 26, 30, 14, -34, -126?\n\"Answer: -2*b**3 + 8*b**2 + 2*b + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11578, 23146, 34724, 46318, 57934?\nAnswer: 69578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1794065 is divided by 236.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 15487151 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 + -2. Suppose 4*x - 8 - 12 = 0. Let q = x - 4. Solve a*m - q = -17 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -133134051 - 10?\nAnswer: -133134101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -60\/32629?\nAnswer: -60\/32629","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 248*d*s + 22609925*d + 3058*s wrt s.\nAnswer: 248*d + 3058","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72589790.\nAnswer: 2, 5, 7, 13, 79769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/12 and 45\/24150538.\nAnswer: 144903228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -2036*x + 14514. Give w(7).\nAnswer: 262","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 121837 = 3*q + 20416. Let j(p) = -p + 24107. Let z be j(0). Let s = z - q. What is s rounded to the nearest 1000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(1700)*-3*-1*4.\nAnswer: 480*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 61 - 6. Suppose -3*k = 2*k - a. What are the prime factors of k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 55.727 and 790653.\nAnswer: 790708.727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 35110, 35116, 35126, 35140, 35158, 35180?\nAnswer: 35206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 0*f - 3*l = -5, f = 4*l - 18. Suppose -27 = -f*z - 3. Let -17*j**2 - 2 - 3*j**2 + 4*j**2 - z*j**3 + 12*j + 18*j**4 = 0. What is j?\nAnswer: -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from utuuuduuxuuuxtuuud. Give prob of picking 1 t and 1 d.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 40982.0166 rounded to the nearest 10?\nAnswer: 40980","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*s**2 - 2*s + 285*s**3 - 49*s**3 + 2*s - 91*s**2.\nAnswer: 236*s**3 - 74*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.03 and -190945.\nAnswer: -5728.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000070089112 rounded to 5 decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*2)\/(-18)*1197\/1064?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -13 (base 9) to base 2\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - 9*w + 6. Let j = 40607\/4 + -10083. Let l = j - 68. Is l greater than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 46 + 150. Suppose -5*i = -3*i + 6. Let o(c) = -6*c - 1. What is the remainder when w is divided by o(i)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 16\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3432943*k + 1605*k**2 + 3432943*k + 3*k**2 + 2*k**2 - 6*k**2 + (-4 + 1 + 2)*(-k**2 - k**2 + 0*k**2) + k**2 - 2 + 2.\nAnswer: 1607*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(2 + 3 + sqrt(117) + 0 + (sqrt(117) + -2 + sqrt(117))**2 + -3).\nAnswer: -84*sqrt(13) + 1896","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10128272 by 154.\nAnswer: -65768","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*c + 340*c + 184*c + 200*c as o*c + m and give o.\nAnswer: 711","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -56a483 (base 13) to base 7\nAnswer: -23300244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 684756?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -71 - ((-1 - 13 - (-756 + 738)) + 8 + -1).\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 15.1*-3\nAnswer: -45.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the third derivative of 97*b**6\/120 + 7*b**4\/24 + 9*b**2 + 3*b. What is the second derivative of h(n) wrt n?\nAnswer: 582*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6135 + 6170. Let a = 53 - 27. Solve l = -a*c + 19*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*g**3\/2 + 57*g**2 + 120*g = 0. Calculate g.\nAnswer: -2, 0, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 11117465?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -1 - 1 - (-153 - (-27 + (-9 - 6)))\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 5*d + 6, 2*m + 4*d + 29 = 5*m. Let p = m + -10. Calculate the remainder when 2 is divided by p.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*h + 3. Let r = h - -38. Let p = 64 - r. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 28*w + 5758 - 5758 + 13*w. Let v(u) = 12*u. Calculate v(x(s)).\nAnswer: 492*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, -3, 66, 6450?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (16 + 0)\/((-10)\/(-5)). Is (2 + (-194)\/s)*-4 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -114 - -137. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 380590?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes after 8:49 PM?\nAnswer: 7:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fhlllkhlhzhh. What is prob of sequence lfz?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjj when three letters picked without replacement from aaaajjj.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -3*u**3 - 3*u**3 - 543482*u**2 + 104*u + 543536*u**2 + 4*u**3 + 3*u**3 = 0?\nAnswer: -52, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.306 + 470.306. Let v = 424.8 - r. Let t = -45 - v. Sort -0.3, -4, t in descending order.\nAnswer: t, -0.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 0*n + 2\/15*n**3 + 0*n**2.\nAnswer: 2*n**3\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*u - 92*u - 100*u + 69*u.\nAnswer: -172*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 5*p + 10, y - 3*p + 2 - 8 = 0. Let z(a) = 2*a - 6. Let j be z(5). Solve y = -3*v - v + j for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3743*h - 5*d + 139 = 3749*h, 3*d - 110 = -5*h for h.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 138 - 135 - (2 - -12)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 5*w = 900, -4*z + 811 - 84 = 3*w. Does 35 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3\/14, 5, 2, 2.8?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -52*g + 27 - 15 - 12 as c + u*g and give u.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**2 + q. Let z(m) = -m**3 + m**2 + m - 1. Let s be z(2). Let k(p) = 2*p**3 - 3*p**2 + 1. What is s*o(r) + k(r)?\nAnswer: 2*r**3 - 3*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -76 - -69 - ((-1 - 1) + -5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4\/3)\/(2\/(-15)). Let w = 23 + o. List the prime factors of w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2189441293 to the power of 1\/3, to the nearest integer?\nAnswer: 1299","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-189)\/39 - -2 - -3.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1092.\nAnswer: 2, 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1631365 and 58965.\nAnswer: 4894095","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-4))\/((-25)\/20).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 28.8 + -19. Let c = i + -10. What is the biggest value in 0, -3\/5, c?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - 1 - (2 - 23 - (0 + -5)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13 + -7. Let z = 19 + -17. Suppose 4*g = -k + 16, -z*g + 65 = 3*k - 13. Calculate the remainder when k is divided by v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13259 + -13255. Solve 0 = -d*a - 5*p + 13, -2*p - 16 = -5*a - 8 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 176 = -z, z + 160 = 5*d + 6*z. Let r = -12 + d. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 518537, 1037023, 1555509, 2073995, 2592481?\nAnswer: 3110967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -81*p**2 + 5 - 5 - 62*p**2.\nAnswer: -143*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 934286941?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 4, 8051, 3\/5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 29 and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times -79?\nAnswer: 395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -335 divided by -17579.\nAnswer: 335\/17579","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is 0.0936032 meters in micrometers?\nAnswer: 93603.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t and 1 b when four letters picked without replacement from {b: 5, t: 3}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 332025?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3086783 to the power of 1\/4, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -5*j**2 + 74*j + 16. Let i = 109 + -83. Let w be o(i). What is w rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-220 - (-6)\/3)*(18 - 19)?\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79845785?\nAnswer: 5, 571, 27967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 957, 1656, 3569, 7302, 13461, 22652, 35481?\nAnswer: 52554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*g**3*m*z**2 - 3*g**3*z**4 - 6*g*m*z**3 - 2*g*m*z**2 + 10*z**4 + 123*z**2 - 30*z wrt z.\nAnswer: -72*g**3*z - 36*g*m + 240*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 o when two letters picked without replacement from yrsmo.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 0.207102 (b) -0.2 (c) -2\/3 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes before 11:01 PM?\nAnswer: 6:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -14\/2365 and -107\/80?\nAnswer: 37840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**5*(u**(9\/5)*u)\/u)**12)**(1\/30) assuming u is positive.\nAnswer: u**(68\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -0.3 (b) -2\/9 (c) 0.01 (d) -684 (e) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((-2*(sqrt(612) + sqrt(612)*-3) - sqrt(612)) + sqrt(612)*-3 + sqrt(612) + -3) + 4)**2.\nAnswer: 12*sqrt(17) + 613","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/21, -0.13, -2\/9, 4\/7 in increasing order.\nAnswer: -2\/9, -0.13, -2\/21, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 132023 (base 4) in base 16?\nAnswer: 78b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 214813 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-33 - -316)\/849 - 38\/(-21).\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-6)\/(-8))\/((-8)\/(-32)). Suppose -y - c*o = 0, -2*y + o + 4*o + 11 = 0. Solve -2*w - y = 1 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-8)*c*c\/(c*c**(1\/17)*c))\/(c**0\/(c*c**(1\/5))) assuming c is positive.\nAnswer: c**(-583\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -0.006027, -911 in descending order.\nAnswer: 0.2, -0.006027, -911","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000110455 to 6 decimal places.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 8*r**3 + 252508*r**2 + 13486064*r - 6806160 = 0. What is r?\nAnswer: -31510, -54, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 7*b + 9. Let p(j) = -3*j - 4. Suppose v + 1 = 5. Let i(r) = -2*r + 17. Let z be i(v). Determine z*p(c) + 4*n(c).\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 5*i. Suppose 8*o - 4*o - 276 = i. List the prime factors of o.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*j - 29*j**3 + 27*j**3 - 2*j.\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52 = 31*n - 103 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 517 + -512. Which is the smallest value? (a) r (b) 0.4 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 26 + -10. Suppose 5*w - 32 = -b - 0*w, -z = -b - w. Suppose b*r = 9*r + 153. List the prime factors of r.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15371004 divided by -6\nAnswer: 2561834","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 + 2*f)*(-12 + 78 + 183) to t + v*f and give v.\nAnswer: 498","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/2918360 and -91\/408.\nAnswer: 148836360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 183715 and 203?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 96309114 divided by 2832621\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:12 PM and 3:30 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**3 - 7*g**2 + 8*g - 4. Let l be a(6). Suppose 4*b - l = -0*b. What is the third derivative of b*o - 2*o - 5*o**2 - 2*o**5 + 2*o**2 wrt o?\nAnswer: -120*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a + 6. Let l be r(-3). Suppose 2*d - 16 = 4*c, -5*c = -d - 4*d + 25. Solve 2*s**3 - 2*s**5 + 3*s**5 - 3*s**l - s**d + s**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12605 and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 207072.\nAnswer: 2, 3, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1047429438 to the power of 1\/3, to the nearest integer?\nAnswer: 1016","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 192782 and 82?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**2 - 5*l - 19. Let z be o(-3). Which is bigger: z or 18\/5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 + -4 + 8 + 0 + (-121 - -60).\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -h**3*z - 318*h**2*z**2 + 29*h*z - 2*z**2 - 15*z - 3827 wrt h?\nAnswer: -3*h**2*z - 636*h*z**2 + 29*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 2 (b) -0.5 (c) 32 (d) 450 (e) 9 (f) -1\/10 (g) -1\/3\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 131\/6 + -266\/9. Calculate the common denominator of l and -101\/22.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the second derivative of r**5\/30 - r**3\/9 + 28*r. Factor x(t).\nAnswer: 2*t*(t - 1)*(t + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 179, 75, -6, 1\/5, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n**3 - n**3 + 11*n**3)*(-7 + 3*n**2 + 7 + (-3*n - 2*n + 8*n)*(-4*n + 6*n - 4*n) + (-6*n**2 + 2*n**2 + 2*n**2)*(-1 + 1 - 1)).\nAnswer: -12*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 7397936930 to the power of 1\/10, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z, 1 x, and 1 p when four letters picked without replacement from wwxzxxxppwxwqzpxzxz.\nAnswer: 21\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a week in seconds?\nAnswer: 30240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 707*f - 309. Is s(4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -254*t**3 + 4*t**2 + 10*t?\nAnswer: -1524","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, -17\/2, 3, -33\/16?\nAnswer: -33\/16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4449461.\nAnswer: 17, 31, 8443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/552 and -17\/99.\nAnswer: 18216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3386830 - -183?\nAnswer: 3387123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.142891248 + -8.03?\nAnswer: -8.172891248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 785 + -547. Suppose -4*c + 82 + i = 0. Suppose -2*j - 32 = -3*j. Calculate the greatest common divisor of c and j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 3*v**2 - 3. Let k be j(-2). Solve 3*t - 3 = 4*g, -g + 6*g - 2*t = -k for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 12382, -346, 4 in decreasing order.\nAnswer: 12382, 4, -346","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 370?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/5)\/(7*(-72)\/240)?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k - 3 - 1. Sort 5, 2, k.\nAnswer: k, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 + (-1)\/((-1)\/3). What is the derivative of -14*z**2 - 5 + 11*z**v + 2 wrt z?\nAnswer: -6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - 10150550151?\nAnswer: -10150550150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*c*m*n**2*p + 287*c*m*n*p - 2*c*m*p + c*m - 2*c*n**2*p + 749*m*n**2*p + 2*m*n wrt n?\nAnswer: 6*c*m*p - 4*c*p + 1498*m*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-102)\/18)\/(1\/(-3)). Let g = 1 + i. Is 9 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 2*g + 4)*(-3*g - g + g) - 2646*g + 49*g**2 + 2646*g in the form q*g + b*g**2 + a and give b.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 5 = -1. Let n be (11\/(-22))\/(o\/8). Put -0.02, -1, n in descending order.\nAnswer: -0.02, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 2*h = 5*n - 30, 4*n = h + 37. Is (-476)\/(-3) - n\/12 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1061 + 1?\nAnswer: -1060","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zznn when four letters picked without replacement from czznznzcnzncnc?\nAnswer: 50\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2851 is divided by 205.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.02? (a) -12\/2077 (b) -3 (c) -4\/33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 76.46233cm to kilometers.\nAnswer: 0.0007646233","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 5, a: 14}. What is prob of picking 2 n and 1 a?\nAnswer: 140\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:13 AM and 7:09 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 331 - 171 - v**3 + 4*v - 165 + v**3 - v**3 as h*v**2 + x*v**3 + w + i*v and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*u + 4*u - 2*u)*(-50 - 38 - 33) - 2*u + 0*u + 3*u + 42*u + 60*u - 37*u as y*u + s and give y.\nAnswer: -176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -520981, -520900, -520819?\n\"Answer: 81*n - 521062","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*g**4 + g**4 + g**4 + (-g**3 + 0*g**3 + 3*g**3)*(27*g - 93*g - 73*g) to u*g**4 + j*g + o*g**3 + r + t*g**2 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 244753334?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -3*q**2 - 4*q - 17. Let w(n) = 3*n**2 + 5*n + 13. Determine -3*i(j) - 4*w(j).\nAnswer: -3*j**2 - 8*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 94*a - 119 - 118 + 357 - 120 to the form y*a + g and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*f + 679 = 261 for f.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 6, q: 2, e: 4, t: 3}. What is prob of picking 1 e and 1 x?\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -10543 + -3?\nAnswer: -10546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.2 + -0.8. Let n = -25 + 26. Which is the third biggest value? (a) n (b) q (c) 0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 28738 to the nearest integer?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g**2\/15 + 3366*g + 13437088\/15 = 0 for g.\nAnswer: -24976, -269","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 89*o + 112*o - 432 + 30 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -527*h**3 + 13*h**2 - 101*h + 88. Give i(1).\nAnswer: -527","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -2\/11, -1221, 0.5767 in ascending order.\nAnswer: -1221, -0.5, -2\/11, 0.5767","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 170?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19\/14 - -1\/7. Let y be 28\/24*3 + -4. What is the closest to y in 0.2, i, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 3 - 2*v**2 + (0 - v + 0)*(17*v - 17 + 2 - 18*v).\nAnswer: -v**2 + 15*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -373611, -373674, -373737, -373800?\nAnswer: -373863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85*s = 1610298 + 2851862. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 17*z - 13*z - 11*z - 4*z**4 + (-2*z**4 + 2*z**4 - z**4)*(0 - 1 + 3) - 16*z**4 - 21*z**4 + 7*z**4 - 2*z**4 - 3*z**4 + 4*z**4.\nAnswer: -37*z**4 - 7*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -12 + 30 + 4*y**2 - 17 + 2*y. Let v be 1\/3 - (-7)\/(-3). What is the units digit of b(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 200 is divided by 14?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes before 12:13 PM?\nAnswer: 9:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a litre in millilitres?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(4\/13)\/(s*s\/(s**(8\/7)\/s)*s) assuming s is positive.\nAnswer: s**(-232\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 0*i + 5*g = 0, 0 = 3*i + 5*g - 80. Calculate the greatest common divisor of 2740 and i.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 39143, 39364, 39587, 39812, 40039, 40268?\n\"Answer: p**2 + 218*p + 38924","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(-4)*q*q**6)\/((q\/(q\/(q*q**4\/q*q)))\/q**(-1\/3)))**11)**(7\/6) assuming q is positive.\nAnswer: q**(-539\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 22*r**2 + 28*r - 33. Let o(m) = 10*m**2 + 14*m - 17. Let q(k) = -4*a(k) + 9*o(k). Let l be q(12). What is the highest common divisor of 5 and l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.196 * -1.\nAnswer: -0.196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21560 + 8761 + 7736 + 10326 + 2*l to m + o*l and give m.\nAnswer: 5263","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -2.2, 3, -13, 5, -2, -172 in decreasing order.\nAnswer: 5, 3, -2, -2.2, -13, -172","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 78*n*v**2 - 1130*n - 303*v**2 + 516*v wrt n?\nAnswer: 78*v**2 - 1130","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 9*r**3 - 4*r**2 + 4*r - 4. Let w(y) = 8*y**3 - 3*y**2 + 3*y - 3. What is 3*l(s) - 4*w(s)?\nAnswer: -5*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -388421*a*k**2*l**2 + 9*a*k*l**3 - a*l**3 + k**2*l**3 + 2*k**2*l + 10*k - 35*l**3 wrt k?\nAnswer: -776842*a*l**2 + 2*l**3 + 4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 358*p. Let j(d) = 2*d. What is m(j(o))?\nAnswer: 716*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gwc when three letters picked without replacement from xppcawg?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fqqf. Give prob of picking 2 f.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (2 + 2 + (sqrt(1900) - (3 + 1 + sqrt(1900)) - sqrt(1900)) + -4 + 1*sqrt(1900) + sqrt(1900)*2*1 + sqrt(1900) + 2)**2.\nAnswer: -120*sqrt(19) + 17099","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 324536 and 40567.\nAnswer: 324536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 311 + 491 = 41*i + 64. Let g = -178 + 258. What is the remainder when g is divided by i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*q - 41*q + 45*q + 111*q as z + h*q and give h.\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -4414 + -0.060956\nAnswer: -4414.060956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 16 = 3*y, -3*w + 8*y + y + 22 = 7 for w.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2195 is divided by 154.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.4 - -2.4. Let l = k + -3. Let t = 48 + -48.5. What is the nearest to l in 3\/7, -2, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 258 + -4?\nAnswer: 254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 31397235374 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 967838753 to the power of 1\/5, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(-2))\/(4525\/(-66970))?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*k + 2*k - 5*k)*(2 - 2*k**2 - 2) - 7421571 + 7421571 - k + 7072*k**3 - 2*k + 0*k**3 - 3*k**3 + 0*k to the form a*k**2 + s*k + n + c*k**3 and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes before 2:37 PM?\nAnswer: 7:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -133 divided by 3?\nAnswer: -133\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 8516 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: Simplify (r**(2\/23)\/(r\/(r*r*r*(r\/(r**(-3\/17)*r*r))\/r)))\/(r**(3\/7))**32 assuming r is positive.\nAnswer: r**(-36815\/2737)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -15836143*l**2 - 26237190 wrt l?\nAnswer: -31672286*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -91101609 divided by 30367203\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6267, 24965, 56083, 99621?\nAnswer: 155579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -476790.4954 rounded to the nearest ten thousand?\nAnswer: -480000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70 + 237 = -172*u - 177 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -5*g**3 + 42*g**2 + 27*g - 71. Is t(-21) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in eleven tenths of a gram?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27 (base 11) to base 13.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from {x: 2, l: 4}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7 + 4 + 3*r + 2*r)*(-22*r - 13*r + 7 + 24*r) as i + o*r**2 + u*r and give o.\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.1719846 months?\nAnswer: 0.001433205","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 219992313 and 12.\nAnswer: 879969252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 4*p = -2*p, -2*a - p = 0. Suppose a*k = k - 4. Suppose 0 = -k*z + 16, f - 14 - 6 = 2*z. Is f a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6537 = 126*d + 1595*d + 3789 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 8*l - 4. Let c be t(-3). Let v = -26 - c. What is the greatest common divisor of v and 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/50 and -85\/126.\nAnswer: 3150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20 and 45482.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5\/6, -534, 1\/5?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 64773569?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 4 = 7*o. Suppose -3*r - 5 = p + p, 23 = -2*p + 3*r. Let j be (-4)\/p + (-4)\/7. Put 3, o, j in decreasing order.\nAnswer: 3, j, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than -6\/2311?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-157)\/5334075*-135*-5.\nAnswer: -3\/151","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -216*i - 199*i - 239*i - 577*i + 46*i to d*i + y and give d.\nAnswer: -1185","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -14653749\/10 at most as big as -1465375?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -11 equal to -93\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**3 - 18*j**2 + 20*j + 412. Give t(-18).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c + c + c)*(-16*c + 3*c - 9*c).\nAnswer: -22*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of h*m*u**3*y - 2*h*m*u**2*y**3 + h*m*u**2*y - 2*h*u**3*y + 5*h*u*y + 2*m*u**2*y**3 - m*u*y - 6*u**3*y**3 wrt u?\nAnswer: 6*h*m*y - 12*h*y - 36*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 122*o**3 + 74*o**2 + 57*o - 337. What are the prime factors of n(6)?\nAnswer: 29021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 45 = -3*d, 3*q - 5*d - 12 - 33 = 0. Let r be -38 + -2*(-2)\/(-4). Let l = -10 - r. What is the remainder when l is divided by q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 739042432?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7007274 and 8733?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the second derivative of -z**5\/20 + z**4\/6 + 5*z**3\/6 + 3*z**2 - 6*z. What is o(3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 338211117 a multiple of 153?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 minus 1.08101393431?\nAnswer: -36.08101393431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 48919728 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/119861? (a) -1.65 (b) 4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 5\/8 of a day?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/((b*b**(-14))\/b*b))\/b*b)\/(b*(b\/b**(-1\/18))\/b)*(b\/((b\/b**(-4))\/b))**32 assuming b is positive.\nAnswer: b**(-1495\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the second derivative of -4*y**3\/3 - 11*y. Let v(h) = -h**2. Give g(v(a)).\nAnswer: 8*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1409 or -1411?\nAnswer: -1411","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 136 = -b, -2*b = 3*a - 237 - 15. Let p = 1321\/10 - b. What is the biggest value in p, -5, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 + (1\/2 - 12\/(-8)). Which is the nearest to -0.1? (a) 0.48 (b) s (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -36727, -36717, -36695, -36655, -36591?\nAnswer: -36497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 38431263, 76862526, 115293789, 153725052?\n\"Answer: 38431263*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*o + 3 = 42*o + 2*g, 0 = -2*o - 2*g + 2 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 3*l + 4438 = 0, 2*z - 5*l = -0*l + 4454. Calculate the greatest common factor of 66 and z.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the third derivative of 1153*s**8\/168 + s**4\/12 - 55*s**3\/3 - 584*s**2. Find the second derivative of o(k) wrt k.\nAnswer: 46120*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 2*m = 2, -4*m - 6 = 5*y - 1. Suppose -2*s + 23 = 4*h + 7, 22 = y*h - s. Calculate the remainder when 2 is divided by (2\/5)\/(h\/15).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -26, -34, -38, -38, -34, -26, -14?\n\"Answer: 2*u**2 - 14*u - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 16276.16ml in litres?\nAnswer: 16.27616","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 3 p when four letters picked without replacement from pybypyybyppypppy.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 t, and 1 v when three letters picked without replacement from {q: 3, v: 5, r: 1, t: 2, d: 5}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*r - 3 = -66*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -160*w**2 - 2003 - 80*w + 80*w.\nAnswer: -160*w**2 - 2003","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*t**4 + 239*t**2 + 70*t**2 + 281*t**2 + 4*t**4 - 10*t**5 + 38*t**2 wrt t.\nAnswer: -600*t**2 + 264*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -43257 and 511531.\nAnswer: 468274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4 and 147234.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -434 or -34749\/80?\nAnswer: -34749\/80","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pppvpzppp. Give prob of picking 1 z, 2 p, and 1 v.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3798416?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6 and 405138?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c - 2*c**2 + 2*c)*(c**3 + 0*c**3 + c**3) + 4*c**5 - 2*c**5 - 4*c**5 - 2*c + 2*c - c**5 + (0*c - c - c)*(0*c**4 + 3*c**4 - 5*c**4).\nAnswer: -3*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-3)*-15*(-1)\/12?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 56\/10 - 31\/(403\/65). What is the second smallest value in -0.2, -18, l, 2\/15, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 9 + 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 55*h + 4480. Calculate j(-83).\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-12))**35\/(t**22\/((t*t**(-22))\/t)))**(-4\/5) assuming t is positive.\nAnswer: t**(1856\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2144899434 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 58*o + 30. What is the tens digit of k(7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 - 6*g**2 - 7*g - 5. Let a be t(-4). Let b be ((-6)\/7)\/(124\/(-434)). Is b\/9 + (-303)\/a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 3*g - 88 = -4*s, 0 = -2*s + g + 54. Let n = s + -23. What is the second derivative of -12*j + 2*j**n - 28 + 28 wrt j?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6 + 485\/80)*(3 + 1)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 866, 1, -36 in descending order.\nAnswer: 866, 4, 1, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 32 - 18. Suppose 0 = -o + 3*n - 150 - 420, 0 = -o + 5*n - 574. Let h be 2\/(-7) - o\/a. What is the highest common divisor of 8 and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -31 + 24. Let y = 36 - o. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 3*c - 20. Suppose 2*w - 5*u + c = 0, -w + 2*u = 4*w - 11. Suppose o - w*o = -10. What are the prime factors of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 11) to base 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 - -7. Let s(m) = -7*m**2 + 6*m - 7. Let u(i) = 8*i**2 - 6*i + 8. Let x(l) = t*u(l) + 5*s(l). Factor x(o).\nAnswer: -3*(o - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3813 - ((-140)\/25 + 5)) + 5. Let c = 3790 + w. Is c equal to -18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the first derivative of 15 + 10\/3*i**3 - i**4 - i**2 - 4*i. Factor q(x).\nAnswer: -2*(x - 2)*(x - 1)*(2*x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 235 divided by -47.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (40 + 2)*((-12)\/(-42) + (-77)\/98). What is the nearest to -0.4 in s, -0.3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes after 10:58 AM?\nAnswer: 11:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 3631, 3650, 3669, 3688, 3707?\n\"Answer: 19*c + 3612","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes after 8:58 PM?\nAnswer: 3:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1248, 1212, 1158, 1092, 1020?\n\"Answer: a**3 - 15*a**2 + 2*a + 1260","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -163 - -163. What is the nearest to u in -1, -2\/3, -4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1259177807*c**3*x**2 - 2*c*x**2 + 1003*c*x + 18*c - 6*x**2 - 19*x + 1 wrt c?\nAnswer: -7555066842*c*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 9) to base 11\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 35 = 5. Let x = o + -5. Calculate the common denominator of -111\/14 and -1 + x + 190\/(-44).\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -13\/2 (b) -6 (c) -615 (d) 65 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 2*n + 12716 = 0, 2*y + 4*n - 4589 = 1779. What is the common denominator of 2\/10 + y\/(-1400) and (1*13)\/(-2 + 20)?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*v**2 - 1525 + 1254 + 271.\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -17, -1016 in ascending order.\nAnswer: -1016, -17, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the second derivative of a**5\/20 - a**4\/4 - 2*a**3\/3 - 3*a**2\/2 - 2*a. Let b be h(4). Let i = b - -3. Solve i*t = 2*t + 10 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5836674 to the power of 1\/5, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1470 + -1472. Sort -5, 5, -44, b in decreasing order.\nAnswer: 5, b, -5, -44","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 12 = 4*m - 5*m, -20 = -5*m + z. Let k = m - 3. Suppose k = -2*s + 6 + 74. Calculate the remainder when s is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4787928 centimeters in meters?\nAnswer: 0.004787928","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 w when three letters picked without replacement from {t: 11, m: 3, f: 5, w: 1}.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 55153102 to the power of 1\/2, to the nearest integer?\nAnswer: 7427","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 420 = 4*x - 14*x. List the prime factors of -4 + (-7 - x\/3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75\/4 - 65\/(-260)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -6940.987 times -2\nAnswer: 13881.974","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 24*v - 3*v - v**2 - 6*v - 1 + 0. Let o be s(13). Let h = o - 14. Is 11 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 14, 4, -1, -0.5, -1.19?\nAnswer: -1.19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 437588.9ng to grams.\nAnswer: 0.0004375889","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 549391*u**3 + 20932*u**3 + 0*u - 3*u + 3*u.\nAnswer: 570323*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/(t*t**(2\/3)))\/(t*t\/(t*t\/t**(2\/5))))\/(t**4*t**6))**(-4\/3) assuming t is positive.\nAnswer: t**(664\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes before 7:31 AM?\nAnswer: 1:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 2*u**2 + 92*u + 95. Calculate n(-45).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*q**4 - 3 + 0 - 4*q**4 - q + (0*q**4 + 0*q**4 + q**4)*(-5 + 0 + 3).\nAnswer: -4*q**4 - q - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-80))\/(178\/(-1780))*6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 2726.04146 to the nearest ten.\nAnswer: 2730","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 - -10 - (-182 - -51) - 33.\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*o = 74*o - 68. What is the remainder when 134 is divided by o?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/56 and 1\/56.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-5)\/4)\/((3 - -3)\/(-48)). Let x be l\/15*(-3)\/2. Are 10\/27 and x equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31251 = -4540*j - 8551 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 748 or 335?\nAnswer: 748","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (3320*a - 1728 - 822*a + 1729)*(1 - 2 + 3) in the form b*a + j and give b.\nAnswer: 4996","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*h - 207625 = -11113. List the prime factors of h.\nAnswer: 2, 3, 23, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**3 - 2*f**2 - f - 1. Let r(c) = -2*c**3 - 6*c**2 - 9*c + 26. What is -3*n(h) + r(h)?\nAnswer: h**3 - 6*h + 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -12\/29, -5, -9, -0.24, -0.3?\nAnswer: -0.24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s + 17 = 1. Sort -4, s, 5.\nAnswer: -4, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 + 13. Let i(v) = v + 1. Determine i(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -26 - -38. Let x be b\/(-10)*(-10)\/3. Let 0*z**3 - 4*z**2 - 4*z**2 - 2*z**x + 8*z**3 = 0. What is z?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 175*m = -4*p + 173*m, -4*m = 16. Factor -3\/4 + 5\/2*g - 1\/4*g**4 + 3\/2*g**3 - 3*g**p.\nAnswer: -(g - 3)*(g - 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**4\/3 - 4*y**2 + 8*y\/3.\nAnswer: 4*y*(y - 1)**2*(y + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*z + 2*z + 0*z + (2 - 2 + z)*(1 + 2 - 5))*(4 + 18 - 7 - 7 + 1 + 4 + (-5 - 9 - 4)*(-3 - 2 + 3) - 1 + 2 + 0).\nAnswer: -300*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -701 at most -700?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*t - 19227 = 748. What are the prime factors of t?\nAnswer: 17, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 100 + -67. Suppose -b = -3*b - 4*g - 96, 0 = -b - 4*g - 52. Let o be (-96)\/b + (-6)\/j. Calculate the greatest common factor of 16 and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 28*g - 86*g**3 - 259 + 87 + 172 to r*g + d + j*g**3 + k*g**2 and give r.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 21.4 + -21. What is the fourth biggest value in -5, 0, -9, u?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1305)\/11020*(-1)\/(2\/2))\/((-12)\/8).\nAnswer: -3\/38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-221)\/(-39) - 1\/(-3). Suppose 6041 = h*s + 5*w, -s = -5*s + 3*w + 4059. Does 17 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1361428250.\nAnswer: 2, 5, 7, 13, 83, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6420\/67 or -95?\nAnswer: -6420\/67","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 626, 628, 630, 632, 634?\nAnswer: 636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 12408*j + 24281. Calculate d(-2).\nAnswer: -535","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3098 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 351*l**2 - 228*l - 229. Let i be o(-1). Solve -i = 5*b - 370 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16019 and 32038.\nAnswer: 32038","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-15 - 24\/(-1)) + -6 + (-2 - -5). Put 1\/27, n, 23 in decreasing order.\nAnswer: 23, n, 1\/27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (-47 - 2)) + (-14 - (1 - 8)).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 975fc (base 16) in base 13?\nAnswer: 1892a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9 + 3108\/(-429) - (-8)\/52 and -43\/1018.\nAnswer: 11198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and 15045.\nAnswer: -75225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 + 1.5. Let b = -1.4999944 - s. Round b to six dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1626 or -1652?\nAnswer: -1652","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(1053) + 1 + (sqrt(1053) - (sqrt(1053) + -1)) - (-2*sqrt(1053)*1)**2) + -3 + -4.\nAnswer: -8427 + 18*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**3 + 7*u**2 + 6*u - 2. Let h be v(-6). Let i be h\/(-2) - (16 + -4)\/(-2). Let p = i + 102. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, 0.4, -8.8, 1 in decreasing order.\nAnswer: 1, 0.4, -1\/2, -8.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -139*w**3 - 125*w**3 + 550*w**3 - 135*w**3 - 136*w**3.\nAnswer: 15*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1384 - -1390. Calculate the greatest common divisor of t and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 145869 to the nearest integer?\nAnswer: 382","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5\/(15\/(-9)) + 40. Let h be (a + -3)*6\/4. Find the second derivative of 51 + 3*v - h - 4*v**5 wrt v.\nAnswer: -80*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -43421.473 - -43368. Let q = 0.027 - x. Let s = -93 + q. What is s rounded to the nearest integer?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o**5 - 2165*o**4 - 43580*o**3 - 131420*o**2 + 174400*o + 560320 = 0. Calculate o.\nAnswer: -412, -17, -4, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 9*f + 41. Let z be s(-5). Suppose -5*h - 2*g + 8 = -17, h = -3*g + 18. What is the units digit of z\/(-24)*h*46?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 72286\/9 - 8024. Calculate the common denominator of w and 88\/21.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) -3\/5 (c) -3819 (d) 0.519\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 + -2)*4\/(-3). Suppose -5*c + 8 = -2*n - 10, -5*n - 15 = -5*c. Solve -5 + n = -o*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, t: 1, m: 1, y: 1, q: 1}. Give prob of sequence yq.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-72)\/(5 - 2)*(0 + (-4)\/(-8))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 194 is divided by 49?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 40 - -255331?\nAnswer: 255411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*b + 1 - 1)*(-2*b + 20*b + 1 + 11*b).\nAnswer: 116*b**2 + 4*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 6 = -4*o. Let p = -23.3 + -366.5. Let t = -388 - p. Do t and o have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.7 - -3.656. What is y rounded to 2 dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 35*m**2 + 3*m + 1. Suppose 72 = -3*f + 6*f. Suppose -8*r - f = -10*r. What is the remainder when t(-1) is divided by r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*i - 3*b - 5, -95*b - 7 = -2*i - 92*b for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -2*t**2 - 13*t + 99. Give a(-14).\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (33\/(-528)*8)\/((-1)\/48).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the first derivative of -1267*a**4\/4 - 1389*a**2 + 104. Find the second derivative of b(h) wrt h.\nAnswer: -7602*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11898*o - 11898*o + 5752*o**3.\nAnswer: 5752*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 43167924329 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange g**4 + 5 + 109*g - 107*g - 3*g**3 + 2*g**3 + 56*g**2 - 6 - 6*g**4 to o*g**4 + s*g**3 + v*g + a + y*g**2 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -282 - 3*d - 2*d + d.\nAnswer: -4*d - 282","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4ce (base 15) in base 6?\nAnswer: 5022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 + 8\/(-2) + 3. Let c be 21*(2\/(-6))\/i. What is the highest common factor of c and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(4\/7)\/(n\/n**7*n) assuming n is positive.\nAnswer: n**(39\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -4*c**2. Suppose -5 - 1 = -2*t, 5*t = -b + 20. Suppose f + 6 = b*y, -5*f + y + 12 + 6 = 0. Let j(w) = 6*w - f*w - 4*w. Calculate j(l(q)).\nAnswer: 8*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1456\/40 + 2\/(-5). Suppose 0*g - 3*g = -r. Suppose 13*w - g*w = -7. Is -6 at most w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44163*n - 42911*n + 103916 = 0 for n.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -3*m - 0*m, 0 = -3*q + m - 4. Let a(w) = 2*w - 12. Let j be a(7). Put 1, q, j in ascending order.\nAnswer: q, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-138)\/(-115)*15\/21\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 7 = 1. Suppose 3*a - 7 = -2*w, -5*w + 7 - 32 = -a. Suppose 0 = a*s - 6*s + 6. Solve -s*t + 6 = -4*t + 4*p, -c*p - 3 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15 - -18. Suppose 2*n - 2 = -i, 4 - 67 = -4*i + k*n. Is i a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1645 rounded to the nearest 100?\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -3*r + 96. Let i be c(29). Solve -2*w - 28 = -i*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 70*d**2 + 11*d + 134. Is o(21) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 354 and 323025?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/5, -0.2, 22.868.\nAnswer: -0.2, 3\/5, 22.868","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 2*j + 5*c, 3*c = j - 2*c + 25. Suppose 0 = -5*w - j*w - 5, 4*h + 2519995 = 5*w. What is h rounded to the nearest one hundred thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0028089 to four dps.\nAnswer: -0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 633 (base 8) to base 13\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 17? (a) 4 (b) 179.21 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 98\/(-84)*-6*(-24)\/28.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - -2 - (1 - (3 + -2))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 17277818 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 times -7?\nAnswer: -336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 2*v**3 + 8598*v**2 - 224850*v + 216250 = 0?\nAnswer: -4325, 1, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8689 - -8689.14314. Let p = c + -0.142. Round p to four dps.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - 1) + (10 + -5 - 6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -2 - 4*s + 2*s**2 - 2 - s**2. Determine b(6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1242 and 46.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1a6c7 (base 13) to base 5.\nAnswer: 3123313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = 0, -173 = -2*u + 5*f + 1617. What are the prime factors of u?\nAnswer: 5, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.14 (b) -6 (c) -0.01 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -308*i + 317*i + 468. Let t be -1*9*i\/78. Let m(s) = -3*s + 12. Give m(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*q + 12, -3*q - 3 = -3*l - 0*q for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1501769 and 110999.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -701 + 713. Is ((-2)\/((-8)\/4540))\/(g - 11) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*t - 49*t**2 - 43*t + 42 - 31 - 9*t**2 + 9*t.\nAnswer: -58*t**2 - 23*t + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 11589*y - 150610. What is l(13)?\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the first derivative of 5635\/2*b**4 - 11664*b - 10836*b**3 + 18468*b**2 - 1372\/5*b**5 - 220. Determine a so that o(a) = 0.\nAnswer: 1\/2, 18\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*c - c = -28 + 33 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 28512, 114028, 256550, 456078?\n\"Answer: 28503*t**2 + 7*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 39\/(-15) + ((-26)\/(-10) - (-152)\/380). What is the closest to -1 in -2\/3, w, -17?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3081, -13526, -30937, -55314, -86657, -124966?\nAnswer: -170241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 + z**2 + z. Let v be x(0). Let d = v - -23. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 108 + 65. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 - -677?\nAnswer: 679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 5*b, -2*b - 25 = -5*l + 3*b. Solve -d - 4*c = -l*d + 10, 5*d + 5*c = -5 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (42\/(-4))\/(4\/8). Let d = -2 - p. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -56, -129, -322, -695, -1308?\n\"Answer: -10*w**3 - 3*w - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) -0.24 (c) -0.8863 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 99971.9 millennia?\nAnswer: 999719","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 520189762.\nAnswer: 2, 29, 8968789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 184067006*g**5 + 654396971*g wrt g?\nAnswer: 3681340120*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -7*n**2 - 2*n + 1. Let d(b) = -13*b**2 - 5*b + 3. Let r(k) = -5*a(k) + 3*d(k). Let l(y) = -y**2 - y + 1. Determine 6*l(u) - r(u).\nAnswer: -2*u**2 - u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 33362?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 940 is divided by 313.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 43333 (base 6) in base 3?\nAnswer: 22011210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 399*n**3 - 3*n**2 - 34*n wrt n?\nAnswer: 2394","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4973992 to the power of 1\/2, to the nearest integer?\nAnswer: 2230","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the first derivative of -3\/7*h**2 - 26 - 72\/7*h + 11\/7*h**3 + 9\/28*h**4. Determine o, given that p(o) = 0.\nAnswer: -3, -2, 4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -219, -3, 1, 22, -4.\nAnswer: -219, -4, -3, 1, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/((-5)\/35*-21*(-4)\/24).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*j + 3*p + 9, 2*p - 1182 + 1185 = 3*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a meter in millimeters?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 231.\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 + (3 - (-19 - -11))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2477\/1323 - -46\/147. Let t = -5107\/21273 - -2\/1013. What is the common denominator of p and t?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*d + 3*d = 0. Suppose d = 4*y - g - 47, -2*g = 3*y - g - 37. Find the second derivative of -y*m + 16*m + 5*m + 7*m**2 wrt m.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 300 + -283. What is the remainder when (-22)\/((-4)\/6 - 0) is divided by j?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(65) + -5*-2*sqrt(65))\/(sqrt(30)\/sqrt(54)).\nAnswer: 33*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 252 - -1?\nAnswer: 253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 224812386?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 0*z**2 - z**2 + 7 - 7*z**2 - 10*z + z**3. Let f be d(9). Let g = 3 + f. Solve j - 2*j - g = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-6)\/(-4) + (-9)\/(-9))*-26. Let a = -84 - j. Let c = 24 + a. Solve -c*q + 14 + 1 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -2*r + 0 + 3 - 5. Let n(y) = 3*y + 3. Suppose 232*j - 984 = -321*j + 675. Calculate j*n(u) + 5*m(u).\nAnswer: -u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of (8\/(-6))\/(4\/(-594))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n + 0*n + n)*(-222 + 8*n**2 + 222) - n**2 - n**3 + n**2 + (2 - 3 + 0)*(-2*n**3 - 2*n**3 + 2*n**3) - 125 - 7*n**3 + 125.\nAnswer: -22*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 2 a when three letters picked without replacement from {h: 1, g: 8, a: 2, o: 7}.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ouug when four letters picked without replacement from gzbuuco?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -17*h**5 - 9298*h**4 + 19331*h**3 + 63748*h**2 + 35136*h = 0.\nAnswer: -549, -1, -16\/17, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence indg when four letters picked without replacement from {v: 5, n: 1, d: 1, i: 2, g: 11}.\nAnswer: 11\/58140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 119481, 119490, 119499, 119508, 119517?\n\"Answer: 9*c + 119472","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 15002724\nAnswer: -1\/5000908","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 348 is divided by 100.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8259496.56ns to weeks.\nAnswer: 0.000000013656575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3110697?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 - 4*r**2 + 4*r. Let z be b(3). Find the second derivative of -n**3 + n**z + 2*n**3 - n + 2*n wrt n.\nAnswer: 12*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0.02, 0.5, -243 in ascending order.\nAnswer: -243, -4, 0.02, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (2 - 6\/(-4)))*-156*(-48)\/1248.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of -2 + -1 - -94 - (340\/17 - 13) and 618?\nAnswer: 8652","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**3. Let q(c) = -2*c**3 - 2*c**2 - c. Calculate 3*a(y) + q(y).\nAnswer: y**3 - 2*y**2 - y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 0*n + 284\/5*n**3 + 2\/5*n**4 - 286\/5*n**2 = 0. What is n?\nAnswer: -143, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7581)\/(-1444))\/(14\/24).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7.19 - 757.\nAnswer: -749.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 15*i**3 - 24*i**2 + 31*i. Let p(b) = -8*b**3 + 12*b**2 - 16*b. Let r(x) = 11*p(x) + 6*q(x). Factor r(a).\nAnswer: 2*a*(a - 5)*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*m - 10*m + 272 - m - 275 as r + d*m and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -2491 + 3111. What is the remainder when n is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*u**2 + 4 + 724*u - 724*u to t*u**2 + r*u + h and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3b - 3?\nAnswer: -3e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/380340 and -53\/300.\nAnswer: 1901700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iuiyuzzzzizzizxziz. Give prob of sequence yu.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8\/7, -165, 5 in descending order.\nAnswer: 5, 8\/7, -165","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*u + 8*u = -28. Let q(o) = -o**2 + 179*o + 0*o**2 - 20 - 163*o. Let i be q(u). What is the greatest common divisor of i and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 2418073?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.536694231 rounded to 3 dps?\nAnswer: 0.537","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17 - -21. Suppose 2*l - 2*a = 132, -j*l - 5*a + 108 = -174. Let v be (-25)\/(-3 + l\/24). Calculate the greatest common factor of 15 and v.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**2 + 12*m + 27. Let p be v(-11). Suppose 17*f = p*f + 413. Does 61 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 261, 2, -8, -136, -3 in decreasing order.\nAnswer: 261, 2, -3, -8, -136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k + 5. Let p = 73 + -69. Calculate b(p).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 24 - -63?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -183? (a) -1 (b) 2 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 257 - 4397 = -12*l. What is the second smallest value in l, -1, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (3 - (-4 - 6)) - 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.2253 to 2 decimal places.\nAnswer: 1.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -170 = -3*h - 2*h. Let y = -15594 - -15933. Calculate the remainder when y is divided by h.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1627, 14, -85 in descending order.\nAnswer: 1627, 14, -85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -2*j**3 - 7*j**2 + 6*j - 8 - 11*j + j**3. Let p be z(-8). Suppose 3*q = 3*m - p, -2*q = -2*m + 3*q + 70. List the prime factors of m.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by -55?\nAnswer: -6\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*g = -78*g + 1120 for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**3 + z**2 + 31. Determine a(0).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from dvdvvvddvddv?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 71551713059 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/(-40)*4)\/((-21)\/(-24))\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) -8 (c) -0.3 (d) -1 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 4*q + 114. Calculate r(-32).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -3144*i - 385. What is the hundreds digit of b(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 136317951*o**4 - 123608030*o + 1 wrt o.\nAnswer: 1635815412*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 527 is divided by 239?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -10202 rounded to the nearest one thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -118*t - 66*t - 220*t + 38 - 16 as a*t + j and give j.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(1\/((-2)\/(-1) - -3))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (6 - 4) + (-8 - (3 + -6))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -20444 + 1055?\nAnswer: -16356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -186977 at most -186981?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -53 (base 9) to base 4\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 - 1)*(-20)\/8. Let n(d) = -2*d - d - x*d + 4*d - 1. Let o be n(3). Is 0.1 != o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + l = 5*g + 45, -3*g - 3 = 3*l. Solve 4*b + 8 + 37 = 5*h, -2*b - 30 = -l*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/14 - (-46 + 39 - 25\/(-35)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 94486*n**4 - 3*n + 14689.\nAnswer: 1133832*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 67166450 take away 33?\nAnswer: 67166417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5*(-5)\/(50\/6). Let q(c) = 4*c**2 - 5*c + 5. Let z(f) = -2*f**2 + 3*f - 3. Let k(m) = j*q(m) - 5*z(m). Let l(h) = 2*h + 0 + 0. What is k(l(t))?\nAnswer: -8*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-224)\/(-280) - 192\/(-10). Solve -2*o - 5*y + b = 0, 10*o = 5*o + y + 23 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13)\/(-286) - (-238)\/1540?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -567 and 0.0079?\nAnswer: 567.0079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -78 divided by -1.\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) -0.1 (b) 1\/267 (c) -37\/5 (d) 0 (e) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the third derivative of s**6\/360 + s**4\/8 - s**3\/3 + 3*s**2. Let d(m) be the first derivative of q(m). Differentiate d(v) wrt v.\nAnswer: 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2327 + 2363. Calculate the greatest common divisor of 2862 and s.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.27667 - -0.276682089. What is t rounded to six dps?\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 210*t - 2133 = 2823 - 1176 for t.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the first derivative of -3*u**4\/4 - 11*u**3 - 36*u**2 - 497. Let z(i) = 0. Calculate i.\nAnswer: -8, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2880 + 640 - 435)*(0*s**5 - 3*s**5 + s**5).\nAnswer: -6170*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the first derivative of 27*b**2\/2 + 43. Let l(q) = -q**2. Determine l(w(k)).\nAnswer: -729*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -26, 25, -0.8, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 + 10. Let j = -10 - -4. Let q = j - -4. Which is bigger: d or q?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1457, 5937, 13439, 23963, 37509?\nAnswer: 54077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -88, -762, -1438, -2116, -2796?\nAnswer: -3478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -10 + 3*w + 2 - 9. Let a be q(9). Suppose c = -a + 32. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-4\/11)*u)**(-12\/11) assuming u is positive.\nAnswer: u**(-84\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4416 and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-1)*-5*1062\/354?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 181760 and 3846070.\nAnswer: 710","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(16) + sqrt(160)\/(sqrt(360) + sqrt(10) - sqrt(10)))\/(sqrt(8) - sqrt(96)\/(3*sqrt(12))).\nAnswer: 7*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 771 and 10.\nAnswer: 7710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 1767*p - 20. Let y(h) = 899410*h - 10182. Determine 5091*v(w) - 10*y(w).\nAnswer: 1697*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 2 - (4 + 27 + -25)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/5010 and 107\/164328.\nAnswer: 821640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2368349?\nAnswer: 101, 131, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 603169, 603490, 603811, 604132, 604453, 604774?\n\"Answer: 321*o + 602848","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4130215320?\nAnswer: 2, 3, 5, 7, 11, 197, 2269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the third derivative of l**5\/60 - l**4\/6 - l**3\/6 - 3*l**2. Give k(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*m - 9*m - 14 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 58 - -59.1\nAnswer: 117.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**2 + h + 1. Let g(w) = 4*w**3 + 2*w**2 + 4*w + 4. Let a(u) = g(u) - 3*p(u). Let b be a(-1). Sort 0, 2, b in decreasing order.\nAnswer: 2, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -442*g*y**3 + 283*g*y**2 + 3*g*y - 118*g - 2*y + 9 wrt y?\nAnswer: -2652*g*y + 566*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kndd when four letters picked without replacement from {k: 8, n: 2, d: 5}.\nAnswer: 8\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 120 and 1064148.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -413*j + 246. Let w be g(-6). Let h = w + -1329. What is the tens digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 331 = 284*o - 1505 - 1572 for o.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 192119179?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/8 of a millennium?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y - 2*y**3 + 0*y)*(-4*y**2 + y**2 - y**2 + (y + 2*y + 5*y)*(2 - 2*y - 2)).\nAnswer: 40*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 15) to base 2\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 + -43?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1130640 is divided by 94.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -5*d - 22, 2*d - 54 = -4*t. Solve -i = -5*u + 25, -i = u + i - t for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 762?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 0 = -v. Suppose 0 = f - 5*f + 4*j + 28, 27 = f - 5*j. Calculate the remainder when f is divided by v.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 6*v**2 + 2*v + 1. Let q be w(-1). Let p be 2\/6 + (-262)\/(-6). Let x be 3\/5 - p\/(-10). Solve -x*i = 10 + q for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**3 + 7*j**2 + 2*j + 7. Let q be t(-6). Suppose -q*r + 12 = -19. Solve 5*g - 8 = 4*a, -r = -2*g + 5*a - 8 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1384 + -394. Let j = -498 - u. Suppose 5*c = w + j, 4*w + 5184 = -0*w + 4*c. What is w rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -d1a89 - 2d?\nAnswer: -d1ab7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 64286071 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 401.9918nm in meters?\nAnswer: 0.0000004019918","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -339 + 728?\nAnswer: 3cd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10596202*f = 10596585*f + 13788 for f.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7.672, -0.3, -0.1, -4 in increasing order.\nAnswer: -4, -0.3, -0.1, 7.672","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 - -1. Let m(p) = 33*p + 2. Let w be m(c). Suppose 5*t = w - 5. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 10 = 5*f. Suppose -4*k - 5 = f. Let v(u) be the second derivative of -3*u**5\/20 - u**4\/4 - u**3\/2 - 3*u**2\/2 + u + 43. Give v(k).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.56 + 0.06. Let k = j - -0.8. Which is the third biggest value? (a) -3 (b) k (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4271000 to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes after 3:29 PM?\nAnswer: 4:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 106 a factor of 33356?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/5)\/(2*-6*11\/165).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of 7242930.3 and -0.4.\nAnswer: 7242929.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h - 40 = -2*a - 2*a, -h = 3*a - 11 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d + 2. Let v be h(-2). Let s be 1 - (-68)\/(-4) - v. What is the units digit of 1\/(-2)*(s + 6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -16\/5 and 37\/38.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 122744 a multiple of 134?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -23 - -13. Let w = -361.7795 - -371.78. Let t = w + h. Round t to 4 dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uulguluuuudggug. What is prob of picking 2 g and 1 d?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.487075 years in millennia?\nAnswer: 0.000487075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 4*b. Let u = 57 + -50. Let k(n) = u*n**2 + 1 + n**2 - 1. Give i(k(x)).\nAnswer: 32*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 - (-2)\/(-4)*-10. Let d be -3 + 1\/(-2)*-56 - z. Solve -k - 3 = -2*f - 0, 3*f - d = -2*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:51 AM and 8:15 PM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1196 and 552?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) 1\/26 (c) 0.4 (d) 1\/4 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 - -1689?\nAnswer: 1685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -7*n + 3. Let j be x(2). Let u = j - -16. Suppose -d - 5*s + u = 3*d, 3*s - 3 = d. Let q(r) = -r + 10. Determine q(d).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -262*h**3 + 8*h**2 - 51*h - 311. Is g(-8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94\/105447 less than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.093, 5.77, 1\/6, -3\/2, -4?\nAnswer: 0.093","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + -6. Let c = i + 10. Suppose -4*h = -4*w + 204, c*w - 4*h - 267 = -114. Is w a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (8364 + 18563 - 9 + 17421 - 481)*(3 + j - 3) in the form a + y*j and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 8*a**4*l**2 - 393213*a**3*l - l**2 - 12966800*l wrt a.\nAnswer: 32*a**3*l**2 - 1179639*a**2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 35 - -255?\nAnswer: 334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-1)\/((10\/(-150))\/((-214)\/(-5))) is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 9 - (14345\/84)\/19. Let t(h) be the third derivative of 0*h**3 + 9*h**2 + 0*h + 1\/70*h**6 - l*h**4 + 0 + 1\/84*h**5. Factor t(u).\nAnswer: u*(3*u + 2)*(4*u - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 67*57219\nAnswer: 3833673","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes after 1:35 PM?\nAnswer: 11:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -13 + 25 - t + 3*t - 4*t**2. Let b be s(10). Let a = b + 559. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 + (-13)\/((-117)\/71064). Suppose -4*d - 3*k = -8*d + 6327, 5*d - k - l = 0. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*c**3 + 2*c**2 - 54*c**4 - 45*c**4 + 101*c**4 - c as m*c + p*c**4 + v + l*c**2 + d*c**3 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:44 PM and 3:23 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 270.33978s in minutes?\nAnswer: 4.505663","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -55357716 > -55357717?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < -38\/186163?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 3*l**2 - 9*l. Let k(f) = 6*f + 8. Let b(w) = -4*w - 5. Let z(y) = -8*b(y) - 5*k(y). What is z(c(a))?\nAnswer: 6*a**2 - 18*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3057?\nAnswer: 3, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the first derivative of 98*w**6\/9 - 812*w**5\/15 + 184*w**4\/3 - 64*w**3\/3 + 191. Suppose d(c) = 0. Calculate c.\nAnswer: 0, 4\/7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17193.\nAnswer: 3, 11, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -21*x + 16. Let h(a) = -14*a + 11. Calculate -7*h(r) + 5*t(r).\nAnswer: -7*r + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/4*112\/(-70)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 83 + -53. Let r(b) = b**3 + 4*b**2 - 2*b + 8. Let s be r(-4). Let j = u - s. Calculate the smallest common multiple of 8 and j.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13068359 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - -3. Determine d, given that 0*d**2 + 3*d**3 + 3*d**2 - 8*d**5 - 3*d**4 + 5*d**u = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = 9*c + 4 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -5*m**4 - 21*m**3 - 10*m**2 + 6*m. Let a(z) = -z**4 + z**3 + z**2 - z. Let g(w) = 4*a(w) + 2*f(w). Determine r so that g(r) = 0.\nAnswer: -2, -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(245)*-1 - (sqrt(80)*-2 + sqrt(80)))**2 + ((sqrt(50) - (sqrt(50) + sqrt(100)\/sqrt(2)))\/sqrt(10) + 0 + (sqrt(5) - sqrt(5)*-2))**2.\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-90)\/21 + 2\/7. Let r be 2*(v - 38\/(-4)). Let n be (1 + 2 + 0)*(-5)\/(-15). Solve r = -5*i + n for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.18462782101 - -1480532.17672782101. Let f = -1480637 + p. Let r = f - -105. Round r to 3 dps.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -n**3 - 49*n**2 + 897*n + 945 = 0.\nAnswer: -63, -1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 750.02018 to the nearest ten.\nAnswer: 750","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 272 + -183. What is the remainder when c is divided by 52?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/254 or -1043?\nAnswer: -1043","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 52 - 13. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2711659 by 8.\nAnswer: -2711659\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 14 = 3*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*k - 2*k + 25. Let s = k + 2. Is (0 + (-1)\/s)*789 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*x + 1 - 1 + (-3 - 4*x + 3)*(5 + 20 + 11)*(0 - 2 + 3).\nAnswer: -146*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 419797?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5565 and 210.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, l: 8, h: 2}. Give prob of picking 2 l.\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 + 122?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*-4136340.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -116801*l**3 - 6*l**2 - 5*l. Suppose 0 = 3*k - 4*k. Suppose k*c = c + 5. Let w be a(c). Round w to the nearest 1000000.\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(84))\/sqrt(12) + 2*sqrt(14)\/sqrt(2).\nAnswer: 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.7472152 rounded to one dp?\nAnswer: -8.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 17 and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -64\nAnswer: -1\/64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z - 2*l = 4*z - 7, 0 = 5*z + 4*l + 19. Let b be (z\/(-6))\/((-1)\/(-48)). What is the highest common factor of b and 108?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 2*i**5 - i**4 - i**2 - 1. Let s(a) = -24*a**5 + 270*a**4 - 111*a**3 - 786*a**2 + 909*a - 249. Let o(n) = 9*g(n) + s(n). What is v in o(v) = 0?\nAnswer: -2, 1\/2, 1, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1512199 at least 1512104?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**2 + 21*z + 4. Let w be m(-21). Solve 4*u - b + 3 + 2 = 0, 0 = -w*b - 12 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-28))\/(9 + -6)*-1?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 327, 682, 1037, 1392?\n\"Answer: 355*x - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) -0.3 (c) -1 (d) -34\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -1576*m**3\/13 + 302806*m**2\/13 - 342104*m\/13 + 40874\/13 = 0.\nAnswer: 107\/788, 1, 191","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.22359086 times -0.4\nAnswer: -0.089436344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*j**2 + 23*j**2 + 26*j + 56*j**2 - 16*j**2.\nAnswer: 109*j**2 + 26*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -174, -207, -298, -477, -774?\nAnswer: -1219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-14)\/(-42)*(-8)\/(-6). Sort -5, b, -0.4.\nAnswer: -5, -0.4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d + 4*k - 2 + 19, 18 = 4*d - k. What is the second derivative of 16*o**4 + 23*o - 2*o**3 + 2*o**3 + d*o wrt o?\nAnswer: 192*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**2*((s*s*s**(3\/4)\/s*s)\/s*s)\/s*(s*s*s*s**(3\/5))\/s**(-4) assuming s is positive.\nAnswer: s**(227\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 13609818\nAnswer: -1\/4536606","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -4*i + 60*i**3 - 2*i**2 + 67*i**3 - 180*i**3 + 56*i**3. Let p(j) = -6*j**3 + 5*j**2 + 9*j. Give -4*p(k) - 9*u(k).\nAnswer: -3*k**3 - 2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6829?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2\/127, 4, 17\/49, -1 in decreasing order.\nAnswer: 4, 1, 17\/49, -2\/127, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3377*n + 8 - 33 - 16 - 3377*n - 4 - 5*n**2.\nAnswer: -5*n**2 - 45","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -203*i + 2469178 - 2482766 = -31*i for i.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**2 - 74*z - 880. Let s be q(-52). Calculate the greatest common divisor of 9900 and s.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -76 or 4\/17?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 34590 to the nearest integer?\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*r - 5*f - 84 = -54*r, 0 = 4*r + 13*f - 12 for r.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s - 5 = -337*y + 336*y, -4*y + 38 = 5*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 - -7. Let f be (18\/5)\/(s\/5). Round f to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 155985161 to the power of 1\/3, to the nearest integer?\nAnswer: 538","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**3\/15 - 22*i**2\/15 + 16*i\/15 + 8\/3.\nAnswer: 2*(i - 10)*(i - 2)*(i + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -196, -2, 2, -4, 37, -1 in decreasing order.\nAnswer: 37, 2, -1, -2, -4, -196","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1210311?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5117, -10292, -15467, -20642?\nAnswer: -25817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 35*x**2 + 15*x + 2. Let u(q) = 2*q**2 + q + 1. Let a(f) = -p(f) + 2*u(f). Find the second derivative of a(t) wrt t.\nAnswer: -62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*s**3 - 3*s**3 + 3*s**3 + (2*s**2 + s**2 - 7*s**2)*(4*s - 3*s - 3*s).\nAnswer: 6*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 16208111 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/45 and -38\/563535?\nAnswer: 563535","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**3 - 3*u**2 + 2. Let i be a(-3). Let n(c) = -c**3 - 14*c**2 - 13*c + 2. Let r be n(-13). Let s(q) = -8*q**2 + 7*q**r - 2*q + 2*q + 2. Give s(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0082287 rounded to 4 dps?\nAnswer: -0.0082","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7812 = -53*j + 11*j. Differentiate -40 + 123 - j*z + 120 wrt z.\nAnswer: -186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6*((-18)\/(-4) - 4). Suppose 4*o = h*u - 560, -2*u - 2*o = o - 362. Suppose -4*p - v + u = -6*v, -5*v = 0. List the prime factors of p.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6294719*h**3 + 1670511 wrt h?\nAnswer: 18884157*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 12*j + 301. Let c be i(-25). Put -11, c, -3, 5 in descending order.\nAnswer: 5, c, -3, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3486234781 - 1729.\nAnswer: 3486233052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 12*q = 10*q - 46, 31*q - 30*q + 45 = -4*y for y.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/32 and 1*339922\/48840 - (-14)\/(-2).\nAnswer: 17760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -100446, 2 in decreasing order.\nAnswer: 2, -3, -100446","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 17*t**2 - 15*t**2 + 0 + 3 + 8*t. Let z be r(-4). What is the derivative of -16*f**3 - 2 + 36*f**z - 23*f**3 wrt f?\nAnswer: -9*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/110854 and -45\/97964.\nAnswer: 4212452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (12 - 13) + (-2)\/(-4)*2. Suppose 4 = -3*t + 7*t + y, -y = o. Put t, -2, -1, -3 in descending order.\nAnswer: t, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 4*h - 20 = 0, -4*g + 4*h - 9 = -29. Suppose g = z, 0*c + 3*c + 4*z = 0. Let m = -151 - -2719\/18. Are c and m nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 3*d = 4. Let u = 8 + -11. Sort d, -4, u in increasing order.\nAnswer: -4, u, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 7, w: 7}. What is prob of picking 4 l?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -4 + o**2 - 3 - o + 4. Let t be u(-3). What is the tens digit of 1 - t*(-2 + 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1105.\nAnswer: 5, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*a**3 + 2*a + 5 + 2*a**3 - a**3)*(5*a**2 + 2*a**2 - 2*a**2) - a**5 + 0*a**3 + 0*a**3.\nAnswer: 34*a**5 + 10*a**3 + 25*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29 = -6*p - 23 - 20 for p.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -40 + 60. Let x = -1 - n. Let w = x - -27. Calculate the smallest common multiple of 11 and w.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**2 + 4*g + 7. Let w be m(5). Let n(x) = 3*x + 2. Let i be n(w). Suppose -5 = -u + i. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -8*f**2 + 13*f + 26. Determine x(-2).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 159 (b) 2\/9 (c) 72 (d) -2\/139 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) 0.05 (c) 15\/8 (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 4, y: 6}. Give prob of picking 1 j and 3 y.\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -3 * -0.052\nAnswer: 0.156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 5*m + 4*w + 8 = 0, m - 5*w - 22 = 0. Suppose m*s = -46 + 16. Let t = -10 - s. List the prime factors of t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2 - 9307212*j + 10828024401618.\nAnswer: 2*(j - 2326803)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31706244 is divided by 62?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the second derivative of 346*j**7\/21 + 5*j**3 - j**2 - 10*j + 3. Find the second derivative of f(n) wrt n.\nAnswer: 13840*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 439.\nAnswer: 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 295*i - 2 + 294*i - 586*i to the form z*i + q and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*a - 172 = 36*a + 38 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 62, 158, 254?\n\"Answer: 96*v - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19\/3 + -443\/69. Does h = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -3*d**2 + 13 - 7 - 6. Let m(y) = -y**2 + 3*y**2 - 6*y + 6*y. Give r(m(k)).\nAnswer: -12*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2087176?\nAnswer: 2, 7, 13, 47, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 309, -3, 1 in increasing order.\nAnswer: -3, -2, 1, 309","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1112001 + 211220?\nAnswer: 2100221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-9 - 2 - (-11931)\/1066)\/((-10)\/(-8)). Which is the nearest to -1\/3? (a) 1\/3 (b) -4 (c) o (d) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 2 t when three letters picked without replacement from {w: 3, r: 6, t: 8, f: 2}?\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the second derivative of j**4\/12 + j**3\/6 + j**2\/2 - 2*j. Let p(a) = -2*a**3 - a**2 - a - 2. Let f be (9 - 72\/9)*(5 - 4). Determine f*p(t) + v(t).\nAnswer: -2*t**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 0 - 10 = 0. Suppose 3*y - 8 = -o + 9, -y + 4*o = -10. Suppose -u*i = -y*i + 124. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3426298?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(1\/12)\/(v\/(v\/(v**11\/v)*v)))\/(v**(-3))**(-34) assuming v is positive.\nAnswer: v**(-1331\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**3 - 5*v**2 - 6. Let u(w) be the first derivative of 251 - 2*w**3 - 1\/4*w**4 - 7*w - 1\/2*w**2. Determine 6*t(d) - 5*u(d).\nAnswer: -d**3 + 5*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 654.4744 milliseconds to microseconds.\nAnswer: 654474.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -2.49, 1\/4, 20?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10196*g*r**3 - 2*g*r**2 + 4*g + 14*r**3 + 44*r**2 + 46*r - 20778 wrt r.\nAnswer: 61176*g*r - 4*g + 84*r + 88","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2002 and 4.\nAnswer: 4004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -m - 20, 2*m = -m - 15. Let j = 29 + u. Is 16 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 228 is divided by 143?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 886 + -533. Let d = k + -295. What is the remainder when 197 is divided by d?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(2)*-5 + -5) - sqrt(20)\/(2*sqrt(40)\/sqrt(4)))**2.\nAnswer: 1770*sqrt(2) + 5281\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -4*r - 2. Let k = r + -3. Suppose -k*g + 4 + 8 = 0. Is g a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2*(-1)\/((-3)\/(-15)). Suppose -5*t = 3*c - 325, 3*c - 7*c - 2*t = -438. What is the remainder when 43 is divided by (8\/p)\/(6 - 664\/c)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 12383.\nAnswer: -2\/12383","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 98648619?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (1 + -4 - -8).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 7335018, 7335015, 7335012, 7335009, 7335006, 7335003?\n\"Answer: -3*g + 7335021","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*r = -21*r + 2*a - 16, 5*r - 27 = a for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2904)*3 + sqrt(24) + ((sqrt(24)*-1 + sqrt(24))*-5 - sqrt(24)))\/(sqrt(80)\/(sqrt(10)*1) - (sqrt(200)*-4 + sqrt(8) - sqrt(8))))**2.\nAnswer: 363\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -147*f**4 + 819*f**3 - 1146*f**2 - 576*f + 1536 = 0.\nAnswer: -1, 2, 16\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 160246313 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the third derivative of 1\/6*x**5 + 0 + 23\/24*x**4 + 13\/6*x**3 - 1\/120*x**6 + 0*x - 41*x**2. Let v be p(12). Are 13\/6 and v equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(2448)*1)**2 - ((-5*(0 + sqrt(17)))**2 - sqrt(17))).\nAnswer: -4046 - 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -57 + 101. Calculate the smallest common multiple of 16 and t.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z = -4*c - 32, -50*c - 115*z = -112*z + 259 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pdp when three letters picked without replacement from {d: 4, p: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31 - (2 + 20\/(-12))\/((-109)\/4578).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10000000101011011111001 (base 2) to base 14.\nAnswer: -7ba917","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11420 is divided by 48?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10 + -6. Suppose 0 = l*r - 20, -4*r + 5 = -5*f - 2*r. Let x = 6.39 - 3.39. Which is the second biggest value? (a) f (b) x (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 120*b**2 - 51*b. Give q(2).\nAnswer: 378","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1079158349 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - h - 2, -4*h - 2 = -2*d - d. Suppose -o + 2*o = 2. Suppose -b + 3*p + p = -12, 5*b + o*p + d = 0. Solve b = -t - 4*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (26\/91)\/(1\/427). Calculate the common denominator of (r\/10)\/(((-1134)\/(-35))\/6) and 73\/18.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the first derivative of -w**4\/4 + w**3\/3 + 3*w**2 + 3*w + 6. Let r be b(4). Let h = r + 33. What is the remainder when 46 is divided by h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -511, -526, -549, -580, -619, -666, -721?\n\"Answer: -4*o**2 - 3*o - 504","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + 4. Suppose -2*d - 2*u + 6 = -14, -2*u = -s. Solve 4*x = x + d for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v**3 - 8*v**2 - 52*v - 40 = 0. What is v?\nAnswer: -2, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -18646297, -18646290, -18646283, -18646276?\n\"Answer: 7*h - 18646304","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3283, 4404, 6273, 8890, 12255?\nAnswer: 16368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -6 - -1) + (6645 - 6639)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11999 to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10313 + 2?\nAnswer: -10311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6153.\nAnswer: 3, 7, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*q**3 - 46*q + 2*q**2 + 100*q + 23 - 55*q - 2*q**2.\nAnswer: -5*q**3 - q + 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -284 divided by -2?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 3313 (base 13) to base 15\nAnswer: 2194","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 671.518339 + -472.51842. Let n = r + -199. Round n to 5 dps.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 19\/4 of a micrometer?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84 = -t - 6*t. Calculate the least common multiple of 378\/12 - ((-30)\/t)\/(-5) and 76.\nAnswer: 608","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -6*l + 2. Let u(d) = d**3 - 4*d**2 + 6*d - 6. Let q be u(3). Calculate s(q).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*m + m + 3*m - 2*m - 5*m**2 wrt m.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-168)*9)\/(1710\/(-380))?\nAnswer: -1\/42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/6*(-18)\/4. Suppose -5*r = -b*r + 4. Let v = r + 8. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**3 + 2895*x**2 + 125559*x + 1332261.\nAnswer: -3*(x - 1007)*(x + 21)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 34124.1336 and -16?\nAnswer: 34140.1336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 9\/(-21) + (-76)\/(-14). Suppose -3*s + 1316 = 2*v, 2*v = -k*s + 3*v + 2215. Let c = s - 191. List the prime factors of c.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2211 + 2210.9. What is the nearest to 1 in -1, x, 2, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let l = -261 + 288. Let p(s) = 2*s**2 - 21 + l + 17*s - 12*s. Let f(v) = v**2 + 2*v + 3. What is -5*f(j) + 2*p(j)?\nAnswer: -j**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4 + (37 + 0 - -2 - -3). Suppose h - 298 = 2*p - l, -2*h = 4*p - 488. Let r = -2085\/8 + h. Calculate the common denominator of -36\/35 and r.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y - 3. Let f be m(-5). Let c = f - 2. Let n be 4 - (-1 + 3 + -1). Solve c = -n*t + 4*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 30904, 123503, 277800, 493795?\n\"Answer: 30849*c**2 + 52*c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 4*o**3 - 364*o**2 + 6400*o + 90000 = 0.\nAnswer: -9, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5159974 is divided by 68?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -1761*q - 7039. What is x(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**3\/4 + 634*h**2 - 102641*h\/4 + 256956.\nAnswer: (h - 21)*(h - 19)*(h + 2576)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 161731011146 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 16 = -2*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 760789?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*i + i**2 - 33827 - 3*i**2 + 33828 - 8*i**3 as p + b*i**3 + a*i + o*i**2 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s. Let a be r(-2). Suppose 0 = -a*n + 70 - 22. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 11*r - 53. What is n(17)?\nAnswer: 134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 36722?\nAnswer: 2\/18361","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 47, 52, 69, 104, 163, 252, 377?\nAnswer: 544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 666 + -379. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 310 + -330. Let s be (0*(-4)\/c)\/2. Solve -2*x - 3*t - 1 = s, 4*x - 3 = -2*t - 9 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 128 + -88. Calculate the remainder when v is divided by 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -77, 1124, 3 in increasing order.\nAnswer: -77, 3, 1124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.125, 1\/2, 0, 5, -2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -28*p**4 - 9*p**3 + 438*p.\nAnswer: -336*p**2 - 54*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2102?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 249 divided by -83.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 193140681 is divided by 2222?\nAnswer: 2219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 205.58 + -207. Let y = 1.4199576 + c. Round y to five dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five halves of a year in months?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.36 + -0.4. Let m = -0.46 + j. What is the nearest to 0 in m, -1\/4, -3\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**3 + k**2 + 2*k + 18. Is f(0) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 2 u when three letters picked without replacement from vvgggwguguwgwk?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 22241519 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -1125.0553 to the nearest one hundred.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 24 + -22342?\nAnswer: -22313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1571 + -1571.0743. Round a to 2 dps.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 46, 259, 772, 1735, 3298, 5611, 8824, 13087?\nAnswer: 18550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2+-64900.3\nAnswer: -64898.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 84173.08 to the nearest one thousand.\nAnswer: 84000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5.1 - -9.27. Let k = g - 0.17. Put -0.2, 1, k in ascending order.\nAnswer: -0.2, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -1 + sqrt(1331) + -1)**2*2 + (-2*-6*(0 + sqrt(11)) - ((sqrt(880) + sqrt(55))\/sqrt(5) + 1)**2).\nAnswer: 2*sqrt(11) + 2386","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1457 - 1555?\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -62372 + 34082. What is h rounded to the nearest one thousand?\nAnswer: -28000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16436)\/(-587) + 36\/(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the first derivative of -y**4\/4 + 10*y**3\/3 - 4*y**2 + y - 11. Let s be f(9). Let g(h) = -2 + 9 + 0 - s - 2*h. Calculate g(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1138.2324 months to centuries.\nAnswer: 0.948527","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24 and 12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -3*i + 27, 5*i - 3*c + 6*c = 39. Suppose i = 9*n - 12. Is (-4 - -12)\/n - -69 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**2*f)\/(f\/(f**(-38)\/f)*f*f))**(7\/6) assuming f is positive.\nAnswer: f**(-91\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -3*j - 96. Let s = 31 + j. Suppose -5*p = 5*y - 45, 2*p + 12 = 3*y + y. Do y and s have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -81*v + 85*v - 104. Sort -5, -2, v.\nAnswer: -5, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12935058485 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53339068.\nAnswer: 2, 59, 226013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does -156694 = -156710?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 113*l**2 + 18*l**2 + 33*l**2.\nAnswer: 164*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16311 + 18097. What is the highest common divisor of 190 and d?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -6*1\/(-18)*30. What is the greatest common factor of p and 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1495)\/460*2\/(-26))\/((-26)\/32)?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.4 (b) 27 (c) 45 (d) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 4*z - 8 = 0, 3*h + 3 = 3*z. Let g = 18 + -30. Let o = -13 - g. Sort o, h, -4 in increasing order.\nAnswer: -4, o, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -12438592.6 to the nearest one hundred thousand.\nAnswer: -12400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 392 (base 13) to base 5\nAnswer: 10001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -95\/6 and -97\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:19 AM and 3:21 AM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.24252 to two dps.\nAnswer: -0.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 58280?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1176*n + 26859 + 8804 = 6263 for n.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 m when two letters picked without replacement from pfffwsmwzfwf?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87557 = -2*s + 3*j, 3*s - 2*j - 181173 = -49845. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(sqrt(110) - -2*sqrt(110)) - sqrt(110))\/(-5*(sqrt(10) + sqrt(40))) + (0 + (sqrt(11) - sqrt(704)))**2 + 6*(sqrt(11) + 1))*-5*3.\nAnswer: -8175 - 82*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 3*v + 2, 0 = -9*w + 10*w - v + 16. Sort w, -23, -1 in decreasing order.\nAnswer: -1, w, -23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.32914 times -363\nAnswer: -119.47782","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m + 1791 + 15366 = 0. List the prime factors of m.\nAnswer: 3, 19, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (223 - 223 + 14*f)*(-4*f**2 + 4*f**3 + 4*f**2).\nAnswer: 56*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/250 (b) 255 (c) 3 (d) -1\/2 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(-5) - (-43)\/40. Let a = 11\/8 - k. Which is greater: -38 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k + 7. Suppose n = -2*n - 81. Let v be (-138)\/n + 7\/(-63). Determine r(v).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -8880, -17762, -26644, -35526?\n\"Answer: -8882*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1544 and 6692468.\nAnswer: 772","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29090636.\nAnswer: 2, 7272659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v - 7*v + 8. Let k be 7 - (0 + (-3)\/3). Let u(r) = r**3 - 5*r**2 + 7*r - 5. Let j be u(5). Solve 0 = 2*a - t - 1, v*t = -a - j + k for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, i: 1, p: 2, b: 2, j: 1}. What is prob of sequence jp?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*(t\/(t**(2\/7)\/t*t))\/t*t)**(-13\/6)*((t*t**19\/t)\/t)\/(t\/t**(2\/39)))**3 assuming t is positive.\nAnswer: t**(3641\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 54 + -53. Let m = 39 - 25. What is the lowest common multiple of m and (d\/((-2)\/7))\/(5\/(-20))?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7613790 a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19901, 19981, 20061?\nAnswer: 20141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14670 is divided by 6939.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.04706 - 0.0562. Round j to three dps.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1176 divided by 392.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 35 = 3*h, -25 = 5*n + 3*h - 4*h. Let d = -12 + 1. What is the third smallest value in n, 3, d, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 1\/29918 (b) 0 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2)\/2)\/(4\/(-40)). Let g = -10 + 5. Let o = g + c. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 726773 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -625\/3?\nAnswer: -625\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Do 277467 and 277467 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 401772 and 23268.\nAnswer: 111290844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the first derivative of d**2\/2 - 4*d - 2. Let f be q(8). Solve 11 = f*w - 9 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -15*r + 352. Let k be w(23). Sort -1, 3, k, 2, 4.\nAnswer: -1, 2, 3, 4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*4*2*sqrt(7488))\/(sqrt(4) - 1*sqrt(8)\/sqrt(2) - sqrt(12)\/sqrt(3)*5))**2.\nAnswer: 479232\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 522327 and 334825?\nAnswer: 13058175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 443336 to the power of 1\/4, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70 + 1246*g - 70.\nAnswer: 1246*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-36)\/(-5))\/((-18)\/(-60)). What is the greatest common divisor of r and 72?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*l**2 + 27 + 38 + 32 + 12*l**2 to the form s + c*l**2 + o*l and give s.\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12 - -17. Let b(g) = g + 11. Let m(q) be the third derivative of 5*q**3\/3 - q**2. Let y(d) = j*m(d) - 4*b(d). What is y(4)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 96, 785, 2660, 6315, 12344, 21341, 33900, 50615?\nAnswer: 72080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-3486)*-83)\/(1\/(-56))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 151\/12 and -46\/33?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2012 - 35226?\nAnswer: -33214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88547*o = 88613*o - 76 - 5732 for o.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the first derivative of n**5\/2 + 125*n**4\/8 - 5*n**3\/6 - 125*n**2\/4 - 651. Determine b so that w(b) = 0.\nAnswer: -25, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1098858 a multiple of 1085?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*c - c + 2*c)*(4*c - 4*c + 7*c**2) - 119*c**3 + 129*c**3 - c + 2*c as v + w*c**3 + n*c**2 + p*c and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.7 - 4.7. Let n = -228 + 333. Let i = 109 - n. Put i, q, 1\/8 in ascending order.\nAnswer: q, 1\/8, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes after 4:41 PM?\nAnswer: 10:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**3 - 6*f**2 - 6*f - 1. Let x be m(-5). Suppose 2 = o + x. Let k be (o - -1*22) + 1. Solve 4*z + 5*p = k, 5*z - 2*p - 16 = 2*p for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*t - 3*t - 37 - t**3 + 18 - 15.\nAnswer: -t**3 - 34","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/10*150\/30 + (112 - 62).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 + 7. Let k = -2 - m. Which is smaller: 2\/5 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes before 11:55 PM?\nAnswer: 10:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -189602*t**5 - 17*t**4 - 1532136*t**2 wrt t.\nAnswer: -11376120*t**2 - 408*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/6 + 2\/3. Suppose t + 2*w + 6 = -2*w, 0 = 5*t + 5*w. Factor -8\/3*q + 0 - t*q**3 - 4*q**2 - m*q**4.\nAnswer: -q*(q + 2)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 44*a**5 + 125188*a**4 + 88994423*a**3 - 72888904*a**2 + 6080479*a + 4049858 = 0. Calculate a.\nAnswer: -1423, -2\/11, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes after 1:28 AM?\nAnswer: 4:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10647 + -42507\/4. What is the common denominator of 103\/480 and r?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -945801 (b) -5\/3 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes before 3:58 AM?\nAnswer: 5:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3604085 divided by -9265?\nAnswer: -389","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9\/2, 5, 414, -5, -2\/11, -9.\nAnswer: -9, -5, -2\/11, 9\/2, 5, 414","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-135)\/(-36) + 2\/8. Solve 0 = l*s - 16 - 4 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 2 b when four letters picked without replacement from {b: 5, h: 5}?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1101001111 (base 2) to base 15\nAnswer: 3b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 - 1 = -3*g. Let l be (-4 + 12)\/(16\/12*126\/210). What is the highest common divisor of g and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 138286921 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3738146.\nAnswer: 2, 1869073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 276, -12, 0.34, 0, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 13607, 27373, 41309, 55415, 69691, 84137?\n\"Answer: 85*w**2 + 13511*w + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1060.\nAnswer: 2, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(490) - (sqrt(490) + -5*sqrt(490)*-6))\/(sqrt(4)\/(sqrt(4)\/sqrt(2)*4 + sqrt(2))).\nAnswer: -1050*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -99*i**3 + 283*i**3 - 104*i**3 - 95*i**3 + 435*i**2 to v*i + m*i**3 + o*i**2 + g and give o.\nAnswer: 435","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*s + 162 = -99. Let n(q) = -q**3 - 8*q**2 + 10*q + 11. Give n(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (62*j**2 - 31*j**2 + 17*j**2)*(3 - 2*j - 3)*(4 - 1 - 4) to z + x*j + a*j**3 + r*j**2 and give a.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66587534?\nAnswer: 2, 13, 73, 35083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + 0.0662.\nAnswer: 7.0662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -284586, -284587, -284588, -284589?\nAnswer: -284590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 879 + -843. What is the remainder when r is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -61366.\nAnswer: -2\/30683","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -4*t + 3. Let w be (0*2\/(-6))\/t. Let a be (-1 + w)\/((-8)\/56). Solve a = -z + 2 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, 0, -11529 in descending order.\nAnswer: 0, -24, -11529","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -143\/186096 and -1\/42647.\nAnswer: 2047056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 353 = 4*j - 263. Suppose -2*g + b + 242 = 219, 4*b = 2*g - 20. Calculate the remainder when j is divided by g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/2 - -41*55\/5. Let w = -432 + i. Calculate the greatest common factor of 460 and w.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.8261 rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69661344 is divided by 15?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -382 + 235?\nAnswer: -14c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/1*(42\/49)\/(10\/(-35))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 61178.69cm in kilometers?\nAnswer: 0.6117869","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -379, -2889, -9519, -22267, -43131, -74109?\nAnswer: -117199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3175 - -5528. Calculate the common denominator of 2\/(-3) + s\/312 and 71\/412.\nAnswer: 824","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -181*d - 165. Give c(-1).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -142.752898 to zero dps.\nAnswer: -143","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - r)*(r - 3 + 3) + (0*r + 3*r + 2*r)*(-4*r + 4*r - r).\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42 - ((-1)\/(-3) - 4223\/(-309)).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35970 is divided by 1893?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 10226?\nAnswer: 1\/5113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/14*(168\/1056)\/(72\/(-32)).\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-3*(sqrt(91)*1 + sqrt(91))\/sqrt(7))**2.\nAnswer: 469","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u + 1. Suppose 0 = -5*j - 4 - 16. Let h(g) = -2*g + 6. What is j*r(s) + h(s)?\nAnswer: 2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -3*i**2 - i. Let r(t) = -6*t**2 - 102*t + 103. Let g be r(1). Let m(d) = -2*d**2 - d. What is g*m(o) + 6*x(o)?\nAnswer: -8*o**2 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -3\/2 (b) -2 (c) -0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-16)\/7 + 2 + 396\/14. Suppose -c*u + 5423 = u. Is u a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3901?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -812.65 times -207\nAnswer: 168218.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the first derivative of b**4\/4 + 17*b - 16. Let i(x) be the first derivative of q(x). Let f(j) = -5*j**2. Determine f(i(h)).\nAnswer: -45*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 22 = -5*c + c, -4*p + 4*c = 28. Let y be 2\/(-6) + 129\/9. Is y\/(-3)*p\/2 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1b2 (base 13) to base 9.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-180)\/48)\/(22\/88) - -17?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.92148 to two decimal places.\nAnswer: -2.92","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*y**3 - 30406*y**2 - 46214077*y + 36990724.\nAnswer: -(y + 3041)**2*(5*y - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + 17 - (4 - -3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t**5 - t**5 + 11*t**2 - 39*t**2)*(1 - 18 - 22 + (-2 + 0 + 0)*(-3 + 4 + 2)) + (6*t**2 + t**2 - 5*t**2)*(-2*t**3 + 2*t**3 + t**3).\nAnswer: -88*t**5 + 1260*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z - 4. Let v be y(2). Let r(c) = -c**3 - 5*c**2 + 5*c - 13. Let f be r(v). Let x(s) = -s - 4. Give x(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -3*z**3 + 15*z**2 + z - 14. Let t(c) = -c**3 + 7*c**2 - 7. Let p(n) = 5*t(n) - 2*y(n). Let s be p(-5). Suppose 149 = s*r + 8. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 196030\/32 - (-4)\/64?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1256134643 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 519*z + 1308*z + 10342 = -55 - 2392 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 5*r - 24. Let n be k(12). Let o = 33 - n. Let v(w) = -2*w - 11. Let b be v(-8). Let q(a) = -a**3. Let d(g) = -3*g**3. Give b*q(t) + o*d(t).\nAnswer: 4*t**3","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let b = 209 + -122. Let u = b - 86. Suppose 0 = 4*x - 3*z + 2 - 3, 3*z = 2*x + u. Which is smaller: x or 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 3 and -551 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-116)\/(-145)*(-2)\/(-2)*-5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*q - 3*l, q + 10 = -2*q + 4*l. What is the lowest common multiple of 7 and q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 83.00000108 + -83. What is q rounded to seven dps?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 47985061 by 529.\nAnswer: 90709","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, s: 3}. Give prob of sequence sf.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66)\/sqrt(2)*5 - sqrt(33))\/sqrt(11).\nAnswer: 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.06661 and -321336?\nAnswer: 321336.06661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -61425 (base 13) to base 2.\nAnswer: -101010100010111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-1\/3)*d*d)\/d)\/(d\/((((d\/(d**(-5)*d))\/d)\/d)\/d))*(d\/((d*d*d**(-2)*d*d)\/d*d))**(-19)*(d*d\/d**0)**47*d**(-5)*d\/d**0 assuming d is positive.\nAnswer: d**(332\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 5 times 854541\nAnswer: 4272705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -o**2\/5 - 419*o\/5 + 30738 = 0.\nAnswer: -654, 235","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -488, -1962, -4414, -7838, -12228?\nAnswer: -17578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -120, -1\/3, 4, 3, 1\/2.\nAnswer: -120, -1\/3, 1\/2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 491 is divided by 75?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-8355)\/(-40))\/((-12)\/16)*-2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -902 and 42253?\nAnswer: -38112206","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2095*d - 219 + 81 - 57*d.\nAnswer: 2038*d - 138","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes before 4:44 PM?\nAnswer: 3:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g**2 + 4*g**2 + 2*g**2)*(g - 4*g + 4*g) + (3 - 3 + 2*g)*(-6*g**2 + 6*g**2 - 4*g**2).\nAnswer: -5*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 l when two letters picked without replacement from ccclccncnnncc?\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 41b8 (base 13) in base 9?\nAnswer: 13440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 2*i + 159 - 117, -5*c - i = -133. Solve 7 = -c*r + 63 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 99507, 398198, 896037, 1593024, 2489159?\nAnswer: 3584442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14 - -9. Let k = 0.11 - 0.11. Let o = -0.2 + 2.2. Which is the nearest to 0? (a) v (b) k (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*w**3 + w**3 + 4*w**3 + (3*w**2 - 2*w**2 - 3*w**2)*(-w - 2 + 2) + (3*w + 3*w - 3*w)*(-5*w + 5*w - 3*w**2).\nAnswer: -6*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2\/9 (b) 5 (c) -14675 (d) 0 (e) -1112\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 16 = z. Let a(h) = -7*h + 2. Let y(o) = -21*o - 1 - 1 + 27*o. Calculate z*a(b) - 5*y(b).\nAnswer: -2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 + (2 - -20)\/2. Let l = -64 - -64. Suppose 32 = j + 4*k, l = -5*j - k - 0*k + 198. Calculate the greatest common divisor of y and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6 + 1)*8\/84*-9. Let b(k) = -4*k**3 - 6*k**2 - 5*k + 2. Let n(w) = 5*w**3 + 7*w**2 + 5*w - 3. Let l(x) = h*b(x) - 5*n(x). Factor l(t).\nAnswer: -(t - 3)*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 850313471 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f + 13 + 6*f - 8*f)*((-f + 3*f - 4*f)*(-2 + 2 + 1) + 3*f - 4*f + 4*f).\nAnswer: -2*f**2 + 13*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(180))**2 + 3 + sqrt(180) - (-2 + sqrt(180))*-2)*4.\nAnswer: 168*sqrt(5) + 732","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 106910*o - 1176059. What is q(11)?\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = 2*o + 2*t - 664, -4*o + 1292 = -5*t. Is 24 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 221 + 15 = 0. Let n = b - -299. List the prime factors of n.\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/5 of a week in minutes?\nAnswer: 96768","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 161 - 221 = -4*n, -4*n + 5*m = -60. Calculate the greatest common factor of 3345 and n.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 554 + -294. What is the remainder when p is divided by ((-660)\/(-40))\/(6\/16)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -3*i - 5*o, -i = i - 4*o - 16. Calculate the least common multiple of 5 and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*m**3 + 13*m**3 - 38*m**3 + 4 + 2*m**4 as k*m**2 + f*m + p*m**3 + u + y*m**4 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.11, -130, 2 in decreasing order.\nAnswer: 2, -0.11, -130","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/5)\/((-42)\/15)*-3.\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 + (9\/5)\/3. Let t = 2156\/3207 + -6\/1069. Let z = -25.7 - -26. Which is the second biggest value? (a) z (b) u (c) t (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 310, 436, 644, 934, 1306, 1760, 2296?\n\"Answer: 41*x**2 + 3*x + 266","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and -600727.\nAnswer: -2402908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 250728870.\nAnswer: 2, 3, 5, 7, 1193947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 19 = -4*y, 0 = 635*z - 631*z + 108 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(44)\/sqrt(2))\/(sqrt(1331)*2))**2.\nAnswer: 25\/242","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -3*f - 12, 2*m + 0 = -2. Let y(j) = -3 - 3 - 9*j + 2. Let g(r) = -13*r - 6. What is f*g(o) + 7*y(o)?\nAnswer: 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*r - 18*r - 5*r.\nAnswer: -31*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19 and ((-8)\/40)\/(1\/((-2025)\/(-40)))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 3*u**2 + 4*u + 2. Let v(k) = -2*k**2 - 3*k - 2. What is 3*c(w) + 4*v(w)?\nAnswer: w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.09767466 to four decimal places.\nAnswer: 0.0977","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*v + 8 = -24. What is the third derivative of 40*l**3 - 4*l**2 - 8*l**v - 8*l**3 + 3 - l**5 wrt l?\nAnswer: -60*l**2 + 192","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 54\/47 - 61\/94. Let l = -0.5 - 0. Let j = l + 1. Which is the closest to j? (a) r (b) -3 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (27\/18)\/((-6)\/(-20)). Let g(x) = 8*x**3 + 4*x**2 - 6*x - 5. Let c be g(r). Suppose -8*t + c = -3*t. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.1, -2\/7, -4\/31, 1\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -2706*v - 5374. Let d be n(-2). Let j(g) = 5*g**3 - g**2 + 2. Let y be j(2). What is the highest common factor of y and d?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75573155 is divided by 6542?\nAnswer: 6513","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 5*j + 1. Let s be k(1). Let u(c) = c - 5. Let o be u(s). Suppose -3*t = -8 - o. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -28842 or -663390\/23?\nAnswer: -663390\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -30 + 13*f - 24*f**3 + 6*f**2 - 20 + 12*f**2 - 3*f**2 + 6 wrt f?\nAnswer: -144*f + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 101?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 2*q, 4*k + 369*q = 373*q + 540. What is the remainder when k is divided by 62?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -27? (a) 48 (b) -0.85 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2287 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*v - 14 - 2*v + 0*v**2 + 6*v + 2*v**2 - 2*v**3 + 3*v**4 + 0*v**3 in the form k*v**2 + g*v**3 + w*v**4 + c*v + z and give z.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 60*r - 1270*r + 6 - 12.\nAnswer: -1210*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 9*s**2 - 2. Let q be v(-4). What is the common denominator of (-57696)\/9792 + 2\/34 and (-2 - (q - -1))\/(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**2 - 6*g - 3. What is q(7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -3*j**3 - 5*j**2. Let y(f) = -2*f**3 - 3*f**2. Give 3*w(v) - 5*y(v).\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*o + 10*o = -8 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-29)\/(-58)*1)\/(34\/(-4))\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 + 6*u**2 - 127*u + 151. Let l be r(-15). Solve 0 = -46*z + 245 + l for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.8 + -2. Let y = -20292.7 + 19105. Let a = y - -1188. What is the nearest to -2\/3 in n, a, 0.4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 7565*j - 45422. Determine u(6).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:24 PM and 4:38 PM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r - 3. Let p(x) = -6*x**3 - x**2 + x. Let j be p(1). Let w(b) = -2. Give j*w(u) + 4*o(u).\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 116 and 174.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 344145.\nAnswer: 3, 5, 22943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -8 + 7*a + 14 + 2. Let v(z) = 6*z + 7. Suppose t = 10 - 4. What is t*v(g) - 5*i(g)?\nAnswer: g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -28442\nAnswer: -2\/14221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, u: 6, n: 1, t: 3, y: 4}. What is prob of sequence puun?\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yybybbyuby. Give prob of picking 2 b.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 555 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14 and 518?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 949409?\nAnswer: 949409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 127073?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 + -6. Suppose -2*i - 2*h = h - 7, a = 5*i - 4*h - 52. Calculate the highest common factor of 88 and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -146 + 20*q**3 - 7*q**3 - 10*q**3 + 6*q - 7*q**3 + 114 in the form r + g*q + j*q**2 + y*q**3 and give g.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (8 + -5 - (46 + -50)) + -4 - -62 - -12\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 343171 * -0.2\nAnswer: -68634.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, 4, 2\/3, 0, -22.\nAnswer: -22, -2\/5, 0, 2\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the second derivative of -m**7\/504 + m**5\/24 + 7*m**4\/12 + 6*m. Let g(j) be the third derivative of l(j). Differentiate g(a) with respect to a.\nAnswer: -10*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o - 21. Let q be k(-20). Let m = -46 - q. Is m < -33\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 41 - -34. Let p be ((-2)\/(-5))\/(5\/v). Suppose -5*d - 1 = -p. What is the remainder when 1 is divided by d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**3 - 2*q**2 + 4*q + 3. Let w be m(-2). Let x = 1.22 - -0.28. Let l = 3.5 + x. Which is the nearest to 1\/2? (a) w (b) 0 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 502957?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 177930 and 270.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8100 - -5092. What are the prime factors of b?\nAnswer: 2, 17, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -24*v + 8. Let y(n) = -8*n + 3. Let t(s) = -3*d(s) + 8*y(s). Let g(r) = 4*r - 3. Let u(b) = b - 1. Let x(k) = 2*g(k) - 6*u(k). Determine x(t(q)).\nAnswer: 16*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 36852389 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:23 AM and 5:59 AM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five eighths of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**3 + q**2 - q - 11. Let b be o(0). Let k = 16 + b. Suppose -94 = -k*p - 2*f, 5*p + 29 - 125 = -3*f. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5 or 29\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 3*t**3 + 5 + 0 to z*t + d*t**3 + w + n*t**2 and give w.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 90*n - 39 = -78*n, 4*n = -4*u - 28 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -448.45 rounded to the nearest ten?\nAnswer: -450","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 2 - 1) + -3 + 10 + -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pc when two letters picked without replacement from ccbpcbcccbaocbcboc.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -431453*r**3*x**2 - 156238*r**2 + x**2 wrt r.\nAnswer: -2588718*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((6 - 2 - 2)*(3 + 1 - 2) + 28 - 7 - 8)*(y**2 - 1 + 2*y**2 + 35*y**2).\nAnswer: 646*y**2 - 17","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 8 + 2. Let u(b) = 20 + b**v - 20. Let i(j) = -j**2 + j + 1. Let z(d) = 20*d**2 - 15*d - 15. Let m(n) = -15*i(n) - z(n). What is u(m(f))?\nAnswer: 25*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/x**(9\/5)*x\/(x*x*x**13*x*x)*x assuming x is positive.\nAnswer: x**(-79\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g\/g**(-4\/9))\/g)\/(g\/((g**(-3)\/g)\/g)))**(1\/5)\/((g**5\/(g*g*g**6\/g*g))\/((g*g**3\/g)\/(g\/((g\/g**(1\/3))\/g)))) assuming g is positive.\nAnswer: g**(169\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -303591, -607182, -910773, -1214364, -1517955, -1821546?\n\"Answer: -303591*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -16*x**4 - 9*x**3 + 9*x**2 + 2*x + 7. Let s(r) = -5*r**4 - 3*r**3 + 3*r**2 + r + 2. Let j(i) = 2*m(i) - 7*s(i). Find o, given that j(o) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 377084891 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -3.2, 2\/3, -288, 1.9 in decreasing order.\nAnswer: 1.9, 2\/3, -3.2, -288","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 112613219 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - -13424433?\nAnswer: 13424423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3\/26)\/((-21)\/28). Which is the second biggest value? (a) 4 (b) -10 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 218585680?\nAnswer: 2, 5, 349, 7829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = 5*g - 1095. Let n = -148 + g. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the second derivative of 7*h**4\/12 + 15*h. Let s(v) = v**2. Give t(s(k)).\nAnswer: 7*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -101 + 47 + 3*k + 46 in the form q*k + n and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(500) - (sqrt(500) + sqrt(500) + 0)*-5 - (sqrt(500) - (sqrt(500) + ((sqrt(500) + 0)*-4)**2) - sqrt(500))) + ((-2*sqrt(500))**2 + -3)*5.\nAnswer: 120*sqrt(5) + 17985","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 136 and 170.\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 572 divided by 1371\nAnswer: 572\/1371","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1534 + 1534.5. What is the fourth biggest value in -3, 0.032, -2, q?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 52\/37 + -2101\/1258. Is v less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/(-4)*16\/(-60)*-10. Let q be -5 + 4 + (-3 - u) + 9. Suppose -5*l = -q*l. Solve l*p + 8 = -2*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*m + 6*p - 32, 22558*m = 22560*m - p + 10 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v - 19. Let h be n(8). Let s = h + 18. Let t = s + -4. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*b*f**3 - 2*b*f*p*y - f**4 + f**3*p*y - 3*f**3*p + 3*f**2*p + f**2 - 3*f*p*y - 10*p*y wrt f?\nAnswer: -36*b - 24*f + 6*p*y - 18*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.0419 + 0.0415. What is a rounded to 5 decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 177 = 5*j + 52. Suppose 0 = 5*q - 10*q + j. Suppose q*c = 2*c - 5*t + 97, -3*c + 5*t = -47. Calculate the greatest common factor of 3 and c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 694770606 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 0*t - 7*t + 5 - 3. Let s(a) = 3*a - 1. Let x = 8 - 4. Give x*b(y) + 9*s(y).\nAnswer: -y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 4*g - 4*o - 13 = 0, 0 = -3*o - 12. Let d = 2 + 0. Calculate the greatest common factor of d and g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69\/115*(642 - (-8 - -5)) is divided by 383.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.34414547 rounded to two decimal places?\nAnswer: 0.34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ie when two letters picked without replacement from {e: 7, i: 2}.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -2)*(7 + -2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*x + 620 = -33*x for x.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -4*a**2 - 32*a - 3. Let x(k) = 7*k**2 + 65*k + 5. Determine 3*x(p) + 5*z(p).\nAnswer: p**2 + 35*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 3*j + 5*o + 7, -6 = 3*j + 3*o. Let t(u) = u + 7. Let v be t(-5). Let a = -2 - v. Put j, a, -1 in descending order.\nAnswer: j, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 52*z**2 - 1814*z**3 - 53*z**2 - 537*z + 537*z to l*z + r*z**3 + a + i*z**2 and give r.\nAnswer: -1814","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -69430 divided by 530\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 3*p = -4*t + 18, 5*t - 4*p - 38 = 0. Suppose -5*a = 3*r + 10, -4*a - t = 3*r + 2. Does 19 divide 59 + (4\/1)\/a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 2 + 1)*(-k + 2*k - 2*k)*((-2 + 0 + 4)*(2 - 8 + 0) - 1 - 1 - 3) to n*k + q and give n.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 457, -110052, -5.\nAnswer: -110052, -5, 2, 457","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 168 - 38. Calculate the remainder when x is divided by 73.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**3\/5 - 6*s**2\/5 + 57*s - 180.\nAnswer: -3*(s - 5)**2*(s + 12)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(1872) + 0 + sqrt(1872))*4 - sqrt(1872) - (sqrt(1872)*-1 + 3 + sqrt(1872))) + 0)**2 + 1)*2.\nAnswer: -1008*sqrt(13) + 183476","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 904 = -1110. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-4) - 12\/(-8). Let a(m) = 2*m**2 - 6*m + 5. Let s(j) = j**2 - j + 1. Let d(v) = a(v) - 5*s(v). Give d(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*l**5 - 39*l**4\/4 + 21*l**3\/4 + 33*l**2\/4 - 33*l\/4 + 3\/2 = 0. Calculate l.\nAnswer: -1, 1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 40*t - 4*t**3 - t**2 - 42*t + t**3. Let y be c(-1). Solve -2 = m - y for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l - 9. Let v be m(4). Sort 3, 2, v.\nAnswer: v, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*n + 44*n - 96 = 0. Let o be n\/(-6)*18\/(-12). Solve -f - 3*f = 5*s - o, -4*s - 5*f = -10 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (347\/13186)\/((-14)\/133)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 124394 to the nearest integer?\nAnswer: 353","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1542 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 729 to the power of 1\/2, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 400\/(-750)*(-20)\/(-8).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3 + -2)*(-69 + 72). What is the greatest common divisor of j and 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12821, 14179, 15493, 16763, 17989?\nAnswer: 19171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*g - 17*g + 27763*g**2.\nAnswer: 27763*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 20\/(-15) + 232\/(-360)*-3. Which is the biggest value? (a) h (b) 0.2 (c) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -2*p**2 + 19*p + 20. Let d be k(11). Let f be ((-8)\/(d + -3))\/((-2)\/8). Which is the closest to -4? (a) f (b) -1 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 250*k**2 - 96*k + 601. Is z(7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 3*sqrt(12)\/sqrt(4))**2 + -3.\nAnswer: -24*sqrt(3) + 40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -14*t + 83. Let u be i(6). Let l(d) = -2*d**2 - 5*d - 4. Let s be l(u). Sort 1\/6, -1\/7, s in increasing order.\nAnswer: s, -1\/7, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c - 5 + 4*c**2 - c**2 + c**3 - 4*c**2 + 1. Let l be k(0). Let w(y) = y + 5. Determine w(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/9*w**2 - 82\/9*w + 40.\nAnswer: -2*(w - 4)*(w + 45)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -854, -855, -856?\nAnswer: -857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 2 u, and 1 i when four letters picked without replacement from aifqquifuuqaoi?\nAnswer: 27\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*b**2 + 1979178*b - 791668 = 0.\nAnswer: 2\/5, 197917\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) -0.5 (c) 24 (d) -3797\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 - 0.047?\nAnswer: -15.047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4664 < 200526\/43?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/17? (a) 3\/20 (b) -2\/3 (c) 0.65\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:42 AM and 6:49 AM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72954 is divided by 83.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14*(-246)\/(-1148) - ((-152)\/(-3) - (-6)\/18)?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and -9039.2609.\nAnswer: -36157.0436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 812, 810, 806, 800?\nAnswer: 792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 79, 70, 49, 10, -53, -146, -275, -446?\nAnswer: -665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 180617893 to the power of 1\/2, to the nearest integer?\nAnswer: 13439","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 17*t**3 + 116*t**2 - 17*t - 16. Determine m(-7).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2315174 * -0.3.\nAnswer: -694552.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y**3\/3 - 32*y**2\/3 - 80*y\/3 - 64\/3 = 0.\nAnswer: -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15 + -10. Let c(v) = 1 - 3*v - 5 + d*v. Let z be c(8). What is the highest common divisor of z and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in five quarters of a day?\nAnswer: 1800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/26 + 216\/(-52). Let i be (-10)\/(2\/12*t). Let w(n) = -n**2 + 9*n - 3. Let z be w(8). Solve 0 = z*l - 3*o + i, -l - 3 = -3*o + 7*o for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m + 4. Let v be d(4). Suppose 17 = 3*z - 13. Let l be 4\/z + (-48)\/20. Sort 1, v, l.\nAnswer: l, v, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12102101 - 121101?\nAnswer: 11211000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**2 - 6*a - 2. Let c be m(6). Let l be (-1 - 1)\/(c\/(-10)). Let w = 15 + l. Solve -w*n = 11 + 9 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 37330 + -37320. Let n(q) = -q**3 + 8*q**2 + 13*q + 80. Determine n(l).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*6*(-2 + (sqrt(17) - (-1 + sqrt(17) + sqrt(17) + 5)) + -5 + (sqrt(51)\/(sqrt(243) + -1*sqrt(243) - sqrt(3)))**2 + -2).\nAnswer: -24 + 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 206*i - 354. What is k(-12)?\nAnswer: -2826","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3980856?\nAnswer: 2, 3, 11, 17, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2444 and 0.01836?\nAnswer: -0.004487184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 60128267 to the power of 1\/2, to the nearest integer?\nAnswer: 7754","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 172, 1219, 4066, 9613, 18760, 32407, 51454, 76801?\n\"Answer: 150*s**3 - 3*s + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppig when four letters picked without replacement from {j: 1, p: 2, b: 7, g: 3, i: 5, y: 2}?\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 2*r**2 - 20*r - 14. Calculate k(14).\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -595*q**2 + 293*q**2 + 301*q**2.\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjojrjjjjjyj. What is prob of picking 1 y, 1 o, and 1 r?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33837*h = -49562*h - 487475 for h.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x**2 - 3052046*x - 3052047 = 0. What is x?\nAnswer: -1, 3052047","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2110202221022 - -21?\nAnswer: -2110202221001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -2*h + 1. Let c be l(-1). Suppose -c*x - 3 = -4*p, -x = 3*p - 4*x. Suppose f = -3*q - 4 + 29, -p*q = -3*f + 15. What are the prime factors of f?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 + 8435559?\nAnswer: 8435558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/16*-32*(-16 - (-195)\/12).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12657?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -216, -3, -2 in decreasing order.\nAnswer: 0, -2, -3, -216","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2*(27\/6 + -2). Let k(p) = -p + 1. Let r(a) = 5*a - 6. Let l(y) = -6*k(y) - r(y). Give l(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22020 is divided by 446.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 20 + -20.1. Let o = -39.474 - 0.026. Let d = 40 + o. What is the third smallest value in d, q, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -29*r**2. Let x(u) = 17*u**2. Calculate x(t(s)).\nAnswer: 14297*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 35 (b) 37\/3 (c) -1\/6 (d) 3 (e) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 5*s**2 - 3*s**2 + 1.\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -192*r = -2934*r + 101454 for r.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16499*p = -4*q - 16495*p + 28, 2*q - 4*p - 18 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4267924.\nAnswer: 2, 1066981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -81447 divided by -313\nAnswer: 81447\/313","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 12) to base 4.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -60? (a) 53 (b) 0.1 (c) -2\/5 (d) -28 (e) 2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**2. Let f be (27\/3)\/1 + (8 - 9). Let z(q) = -4*q**2. Let u(i) be the third derivative of i**5\/5 - i**2. Let d(a) = f*z(a) + 3*u(a). Give c(d(t)).\nAnswer: -16*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 124 = -2*r, 0 = -5*s + 3*s - 5*r - 67. Let y(a) = -19*a - 170. Is y(s) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 7*l = -168. Let o = 24 - l. List the prime factors of (-688)\/(-24) - ((-1)\/o - -1).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.1 + -2. Let c = -3\/31 + 167\/124. What is the biggest value in u, 3, 0, c?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-108)\/(-30) - 2\/(-5). Suppose 4*c = b*o - 0*c - 12, -3 = 4*o - c. Which is greater: -5 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (39\/52)\/((-10)\/(-120))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -169, 5, 1\/7, 0.2, -0.3, 33 in decreasing order.\nAnswer: 33, 5, 0.2, 1\/7, -0.3, -169","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 764837 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + ((-1*sqrt(189))\/sqrt(9))\/(sqrt(252)*-1))*6)**2*-5.\nAnswer: -1635 - 180*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3044778 to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 91 = 5*b + 6, -8 = -p - 4*b. Let c be 8\/p + 4\/6. Let h = -2\/17 + c. What is the biggest value in 2\/11, h, -2?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 2 - 0. Let g be 8*(-4)\/(-8) - x. Find the second derivative of 27*v**g - 29*v**5 - v + 3*v wrt v.\nAnswer: -40*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**2 + 11*c - 8. Is 9 a factor of p(-22)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 112.0149 milligrams to grams.\nAnswer: 0.1120149","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14)\/210)\/((-1)\/(-5))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 795193?\nAnswer: 7, 47, 2417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000014175 to 7 decimal places.\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 + 2. Suppose -20 = -2*u + 4*b, s = u - 0*u - 3*b. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 248 and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*t*w**4 + 9*t*w**2 + 12*t + w**4 + 1 wrt w?\nAnswer: 8*t*w**3 + 18*t*w + 4*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 4\/3 (b) 0 (c) -2\/21 (d) 32350\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 4*c + 2, 4*c + 3*q - 2 = 4*q. Put 5, c, 4 in decreasing order.\nAnswer: 5, 4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40.926441 take away -8?\nAnswer: 48.926441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 1 + 2 + sqrt(12)\/(sqrt(12)\/sqrt(3)) + sqrt(27)\/(sqrt(225)*4).\nAnswer: 21*sqrt(3)\/20 + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 459665?\nAnswer: 5, 149, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.045762889 to 6 dps.\nAnswer: -0.045763","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) 0.5 (c) -544\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*n + 62 = -18. Let a(b) = -3*b**2 - 10*b - 1. Let l(i) = -5*i**2 - 19*i - 2. Give n*l(t) + 7*a(t).\nAnswer: -t**2 + 6*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxl when three letters picked without replacement from {l: 1, d: 1, x: 1, z: 1, b: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) 14\/13 (c) 0.5 (d) 0.122 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.5852 - 1.6. What is f rounded to two dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes after 1:22 PM?\nAnswer: 11:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes after 12:37 AM?\nAnswer: 7:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-8)\/(-10))\/((-6)\/(-15)). Suppose -5*m - 3*i + 24 = 0, -3*m - 2*m + n*i = -34. What is the greatest common factor of 24 and m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the second derivative of -5\/2*s**4 + 12*s**2 + 18*s - 3\/4*s**5 + 2*s**3 + 1\/14*s**7 + 1\/5*s**6 + 2. Suppose k(b) = 0. What is b?\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -116*o - 1944 = -124*o. What is the greatest common divisor of 72 and o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -3\/11 (b) 1 (c) 45 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*a + 30 = -20*a. Let m(v) be the first derivative of -1\/8*v**2 - 1\/16*v**4 + 1\/6*v**a + 0*v - 4. Factor m(r).\nAnswer: -r*(r - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.24 * -205358.35.\nAnswer: -49286.004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 1 - 5. Let f(y) = z + 2 + 3*y**2 - 4. Let m(u) = u. Determine f(m(w)).\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 275142?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/(-4))\/((-435)\/348)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 26 - 6. Let i = 6 + r. Suppose -4*f + 6 = -6*f. Is f at least i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*l**4\/2 + 5245*l**3\/4 + 4625*l**2 - 2640*l = 0. What is l?\nAnswer: -4, 0, 1\/2, 528","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 + 8. Let w(q) = -53*q - 3 - 1 + q**2 - 51*q + 103*q. Determine w(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23 + -25 + 0 + 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes after 8:27 AM?\nAnswer: 2:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s + s - 2*s)*((-5*s**2 - s**2 - 2*s**2)*(-5*s**2 + 3*s**2 + 3*s**2) + 4*s**4 - s**4 - s**4).\nAnswer: -12*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 375*c**4\/7 + 52554*c**3 + 90040068*c**2\/7 - 12812154*c - 723243\/7 = 0. What is c?\nAnswer: -491, -1\/125, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1 and -9.52.\nAnswer: -8.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.616 rounded to one decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*f - 2*f - 72. Let h(k) = -23*k - 11. Let l(d) = 9*d + 7 + 8*d - 2*d. Let u(s) = f*l(s) - 5*h(s). What is u(1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, -2, -4, 56, -21147, 2.\nAnswer: -21147, -18, -4, -2, 2, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - 3 - 0. Let l = -5 - j. Let v = 0.13 + -0.53. Which is the closest to 2? (a) l (b) -2 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t*t**(-7)\/t)**(-37)*t**(-2\/3)\/t*(t*t**16)\/t)**(-24) assuming t is positive.\nAnswer: t**(-5672)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5061988, -10123950, -15185912, -20247874, -25309836?\nAnswer: -30371798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.184113 times -77?\nAnswer: -91.176701","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zrrr when four letters picked without replacement from rrrrrrzrzrrrrrrrrrrz?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(18\/(-4)))\/(72\/(-54))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29.724864s to minutes.\nAnswer: 0.4954144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**2\/4 - 40535*w\/4 - 20267\/2.\nAnswer: -(w + 1)*(w + 40534)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z**2 - 7120*z - 147315 = 0 for z.\nAnswer: -1403, -21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/l**(1\/4))\/l)\/l)**(-6\/17)\/((l\/(l\/l**(-7)*l*l))\/(l\/(l\/(l*l\/l**(-3))))) assuming l is positive.\nAnswer: l**(491\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 23*n**2 - 3*n. Let i(w) = w. Let v(j) = -3*i(j) - l(j). Let q(t) be the first derivative of -24 + 0*t - 1\/2*t**2. Give q(v(a)).\nAnswer: 23*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 38259 or 38258?\nAnswer: 38258","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 84360 rounded to the nearest ten thousand?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and -175173.\nAnswer: -875865","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 6*(((-6*(sqrt(931) + 0) + -6*sqrt(931)*1)*-5)**2 + 0).\nAnswer: 20109596","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**4 - 3909*f**3 + 1271400*f**2 + 1275312*f.\nAnswer: 3*f*(f - 652)**2*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 - -4. Let c = d - -3. Suppose 8*a - 2*l = 3*a + 77, l + 81 = c*a. Is a a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddxs when four letters picked without replacement from {s: 1, x: 8, d: 8}?\nAnswer: 2\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**2 - 115*h - 1254. Calculate z(-10).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 155 - 105. Let g = h + -46. Which is the second smallest value? (a) -2\/3 (b) -0.3 (c) g (d) 3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001001101101110 + -10?\nAnswer: -1001001101110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times 4679.5?\nAnswer: 1871.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 8*d**3 + 3*d**2 + d + 3. Let i(y) = 17*y**3 + 7*y**2 + 3*y + 7. Let l(n) = 3*i(n) - 7*r(n). Find the second derivative of l(z) wrt z.\nAnswer: -30*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.1492239ml?\nAnswer: 0.0001492239","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*z**2 - 5*z**2 - 2*z**2)*(0*z + 0*z - z**2).\nAnswer: 16*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -2*s - 9. Let r be 1 - (5 + (0 - 0)). Let y = -3 - r. What is the biggest value in 0, s, y?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44801544 != 44801547?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1379558952 and 1812.\nAnswer: 1812","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-q + 2*q - 2*q)*(4*q - 4*q - q - 2*q + 3*q + 0*q + (-5*q + 2*q + 4*q)*(-2 - 1 + 5)) in the form c*q + g*q**2 + p and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.5 - -7.5. Let u = t + 8. Let w = -15.00000075 + u. What is w rounded to seven dps?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the first derivative of 3\/2*f**4 + f**2 + 0*f - 9 + 0*f**3. Find the second derivative of b(m) wrt m.\nAnswer: 36*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16470 divided by -912.\nAnswer: 2745\/152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -161188 (b) 5\/27 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.01 - -1.99. Let p = 126.12 + -122. Let g = p + -0.12. Sort s, g, -3 in ascending order.\nAnswer: -3, s, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*b - 14680 = -2*m + 17*b, -m + 7334 = -4*b. Let l = m + -3977. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -43 - h**3 + 32 + 10 - 2*h**2 + 2*h to the form y*h**2 + s + a*h + n*h**3 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -35, -126, -275, -482?\nAnswer: -747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w. Let k(d) = 5*d + 3*d - 2*d - 3*d. Let r(s) be the third derivative of s**4\/12 - 2*s**2. Let c(q) = 4*k(q) - 5*r(q). What is i(c(m))?\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(1\/4))**(2\/63))**(2\/27)*(t**1*t**3)\/(((t*t**(-7))\/t*t)\/(t\/t**(-2))) assuming t is positive.\nAnswer: t**(22114\/1701)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the third derivative of -n**5\/30 + 37*n**2. Let s(q) = 19*q**2. Determine s(d(l)).\nAnswer: 76*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pyllpplp. Give prob of sequence yp.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -5270, -5253, -5236, -5219, -5202?\n\"Answer: 17*x - 5287","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20071841 is divided by 254?\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:41 PM and 3:08 AM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 559 - 559 + 1183*r - r + 3*r - 3*r + (-6*r + 0*r + 4*r)*(1 + 1 - 1).\nAnswer: 1180*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.997706ng in micrograms?\nAnswer: 0.002997706","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6 or -30993?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -2*t. Let j be w(-2). Suppose 2*y = -j*s + 26, -s - 27 = -2*y - 4*s. What are the prime factors of y?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -16 (b) -26 (c) -2\/5 (d) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 311 + -301. Let h be ((-51)\/(-85))\/(3\/v). Solve 7 = h*b - 3*w, -2*b - 4*w = -0*b + 14 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22 (base 9) to base 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 552445081?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 2*k**2 - 13*k + 14. Let y be -9 + 10 - -3*1. Suppose 0 = f + b - 6, f - b = -y*f + 30. Calculate the remainder when 38 is divided by p(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/(s\/(s**5*s*s))*s\/s**(-2)*s**14\/s*s**(-12)\/s assuming s is positive.\nAnswer: s**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9305651?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 6, n: 4}. Give prob of sequence xn.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**3 + 11*z**2 + 14*z - 2. Is u(11) a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 59.06565 + 0.01435. Round o to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 85 - 85. Let w = -3 + 6. What is q in -1\/2*q**w + 1\/2*q**2 + 0 + d*q = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 (base 14) in base 13?\nAnswer: a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*h + 31*q - 29*q, 0 = -3*h - 5*q + 31 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1824 + 631?\nAnswer: 631.1824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -176577 and -0.37325?\nAnswer: 176576.62675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - 0*y. Let z(l) = -l + y*l + 3*l. Let c(i) = 0*i**2 - i**2 + 3*i**2. Calculate c(z(f)).\nAnswer: 8*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 1\/4, 0.3, -0.35747 in decreasing order.\nAnswer: 0.3, 1\/4, -0.35747, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2142 - 2164 - ((0 - 0) + -8)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 3*p = -8*p + 8, 4*j - 4*p = 8. Suppose 0*k = v - 2*k - 23, -33 = -3*v - j*k. Let y = v - 0. Solve 4*w + y = -w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -38625*k**2 + 1969877*k - 104. Give r(51).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 408807?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -835 + 235. Is 12 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6.6 - -7. Let n = 3542785\/21747 - 1\/21747. Let g = n + -163. What is the smallest value in g, 3\/8, x?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -3*i. Let b(m) = 0*m + 0*m + 6*m. Suppose -2*p = 3*p - 25. Let o(f) = 5*f. Let c(q) = p*o(q) - 4*b(q). Determine n(c(w)).\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 62 - -9?\nAnswer: 6b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 66\/809?\nAnswer: 66\/809","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxj when three letters picked without replacement from xjwwxxwwxxjj.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-7)\/v)\/(v*(v**(-6\/7)\/v)\/v*v))**(-38)*((v**0\/v)\/(v*v*v**6))\/(v**3*((v**(1\/3)\/v)\/v)\/v) assuming v is positive.\nAnswer: v**(5504\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 33078 + -12348. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 131*p - 105*p - 158*p = 805 + 11339 for p.\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -101 + 19. What is the remainder when q is divided by (7 + 5\/(-2))*(-28)\/(-6)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.1008 - -76.1992. What is k rounded to zero decimal places?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*d - 720 = 37*d. Is d a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*q**3 + 46*q**3 - 47*q**2 + 11*q**2 + 36*q**2.\nAnswer: 33*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -g**4\/6 + 19*g**3\/3 - 113*g**2\/6 - 3220*g\/3 + 4232 = 0?\nAnswer: -12, 4, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 6*s = -7*c + 47032, 5*s = 2*c - 13450. What is the hundreds digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**2 + 10*j + 5. What is l(-7)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 4*j = 0. Suppose 0*p - 130 = -3*s - p, j = -2*s - 3*p + 89. Calculate the remainder when s is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p + 4*p + 0*p)*(2*p - 2*p + p**3)*(-6*p + p + 4*p + (p - p + 4*p)*(-4 + 2 + 4)).\nAnswer: 7*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1, -1452, 3, 86 in ascending order.\nAnswer: -1452, -2, 1, 3, 86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 627a (base 15) in base 3?\nAnswer: 1001112221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1619 + -728. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -61.1382 + -0.0718. What is u rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 30*t*u**5 + 2*t*u**4 - t*u - 2*u**3 + 25*u**2 - 8 wrt u?\nAnswer: 1800*t*u**2 + 48*t*u - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 43 - (-19 - -3 - (62 - 73)).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes after 12:23 AM?\nAnswer: 12:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10908 by -303.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 - -7. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 20 + 6*j**2 - 4*j**2 - 90 - 5*j + 0*j + 69. What is f(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 12, q: 3}. Give prob of picking 3 q.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 h, and 1 r when three letters picked without replacement from rxoxxhxxrxoxx?\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1022576*c*w**2 + 74*c*w + 189*w**2 + 4*w - 11398 wrt c.\nAnswer: -1022576*w**2 + 74*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**3\/3 + 5800*r**2 - 2*r\/3 - 5800.\nAnswer: 2*(r - 1)*(r + 1)*(r + 8700)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l + g - 4 - 6, 0 = 3*l - 2*g - 19. Suppose -z + 0 = -l. Let m = -1768 + 5300\/3. Which is the third biggest value? (a) -6 (b) z (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.04916 + -1252.94916. What is n rounded to the nearest 100?\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 448322 divided by -217.\nAnswer: -2066","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 197 * -46.\nAnswer: -9062","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*d + 24*d**3 + 45*d**3 - 2*d - 4.\nAnswer: 69*d**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 + -a147?\nAnswer: -a148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 5*t - 49 = -2*t, -35*o + 55 = -40*o - 5*t for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3009507 is divided by 219?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o = 4*o - 12. Let v(t) = t**3 + 27*t**2 - 33*t - 140. Let b be v(-28). Put -0.3, -2, o, b in decreasing order.\nAnswer: b, -0.3, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4\/3)\/((-41)\/15 + 3). Solve -3*c = 5*y + 42 - 2, n*c = 2*y - 15 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56147 is divided by 7015.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 + 6. Let t be 3 - 3\/30*25. Determine c so that -1\/2*c**3 - 1\/2 + t*c + 1\/2*c**d = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -52 - 61550?\nAnswer: -61632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 23, 67, 127, 203?\n\"Answer: 8*l**2 + 20*l - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 77 + 1114. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s - 3. Let l be x(3). Let j be 72\/54*(l + 12). Solve g = -m + 4*m - j, g - 16 = -5*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -732*k**3 + 238*k**3 + 247*k**3 + 242*k**3.\nAnswer: -5*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 - 4 - 279*v + 8 + 1 + 278*v + 8.\nAnswer: -v + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*p**3 + 0*p**3 - 4*p**3 + (2*p - 3*p + 0*p)*(1 - 2*p**2 - 1) + p + p**3 - p - p**3 + 7*p**3 + 7*p**3.\nAnswer: 15*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 + -545?\nAnswer: -545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 344358244?\nAnswer: 2, 653, 131837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3 or -83506\/51?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*f - 279 = 43*f. Let g be (-111)\/(-1) + -25 + f. What is the greatest common factor of 13 and g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (32 - 19) + 81 - -4 - (-1 + (-10 - 0)).\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/27, 2, 132, 1, 4, -2\/17.\nAnswer: -2\/17, -2\/27, 1, 2, 4, 132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 845 to the power of 1\/2, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -3*r + 2. Calculate the remainder when 21 is divided by q(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 13854136?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 2*f**3 - 3*f - 1. Let v = -45 + 43. Determine o(v).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = 3*p - 1383, 7*p + 3*c - 921 = 5*p. Suppose p = -6*i + 8*i. Suppose 2*b - i = -2*b. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*k + 10*k**2 - 2 + 7*k**2 - 3*k**2 + (-k + 12*k + 10*k)*(-1 + 1 - 2*k) in the form w*k + u + o*k**2 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q*q*q**(2\/11)\/q)*q)**0\/(q*q**(-7))**(-6) assuming q is positive.\nAnswer: q**(-36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of b*i**3*l**4 + b*i**3*l - b*i*l + 2*b*l**3 + 4*b*l + 5*l**4 - l**2 wrt l?\nAnswer: 24*b*i**3*l + 12*b + 120*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8727324?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes after 3:44 PM?\nAnswer: 6:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -26000 rounded to the nearest one hundred thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 85906*i**3 - 15154 with respect to i.\nAnswer: 257718*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3053?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 g, and 1 j when three letters picked without replacement from gjcgijjgiig.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 55200356 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1604?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4520 + 6791. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1644.\nAnswer: 2, 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*o**2 + o**2 + 9*o**2 + 9*o**2 to the form l*o + d*o**2 + n and give d.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -169 + 3 + -1693 + 1824?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 370 = 3*k - 5*d + 109, -4*k = -4*d - 348. Let b = 428\/5 - k. Calculate the common denominator of -73\/2 and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3652*n**2 + 2232*n - 2232*n in the form d + i*n**2 + y*n and give i.\nAnswer: -3652","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 6, p: 1, t: 1, v: 1}. Give prob of sequence ovo.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -15167, -15202, -15261, -15344?\n\"Answer: -12*v**2 + v - 15156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2115294\/466851 + 2\/7. Let b = 3\/2021 + j. Calculate the common denominator of b and -3 - 8\/(-16)*(-172)\/10.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*o**4 - 165700*o**2 - 1896502*o wrt o?\nAnswer: -36*o**2 - 331400","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5.9 and -1.64.\nAnswer: 9.676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-9132)\/15 + 2\/(-10). Let r be (-6)\/8 + m\/(-12). Suppose 6*z = z + r. Calculate the remainder when z is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3\/7, -104.\nAnswer: -104, -5, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -34 in 0, -1\/23, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2980559 and 391?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 184619*o + 1059. Let l(z) = -349*z - 2. What is -1059*l(k) - 2*t(k)?\nAnswer: 353*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/3)\/((-25152)\/(-3537)).\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1377 + 0.7.\nAnswer: 0.8377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 17*r - 326. Let b be (-60)\/9*30\/(-8). Let s be q(b). What is the highest common factor of s and 77?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 37.82 (b) 2 (c) -3.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes before 4:42 AM?\nAnswer: 11:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 1088?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:49 PM and 8:39 PM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -53 - -53. Suppose -8 = -y*f - 2*f. Suppose 2*p + 6 = -4*h - 0, -2*p - 14 = -f*h. What is the greatest common divisor of h and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 2*i**3 - 2*i**2 + 9*i - 16. Determine j(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**3 - 11*q**2 + 15*q - 13. What is the units digit of z(-13)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/360 and 1\/4752.\nAnswer: 23760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 528.00485032 - -0.09844968. Let g = q - 528. What is g rounded to two dps?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 28 + 12. What is the least common multiple of 120 and m?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -3*j**2 + 16*j + 12. Suppose 3*f = 25 - 7. Let a be m(f). Solve a = 3*t + 6 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 268 + -26. Is v a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1822\/10 + 12\/15. Let z = 148 + j. What is the hundreds digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -6*o + 5. Suppose 3*k = o + 5. Solve i + k*i - 3 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -33 + 102. Calculate the greatest common factor of 23 and i.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a kilogram in grams?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4, -70, -230, -526, -1000, -1694?\nAnswer: -2650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5313 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: Factor 4*n**5 + 4568*n**4 + 1313252*n**3 + 5180176*n**2.\nAnswer: 4*n**2*(n + 4)*(n + 569)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -214 + 214.012. Let m = w + -0.01199889. What is m rounded to six dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000961 rounded to five decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2\/5, 3, -10\/39, -57?\nAnswer: -10\/39","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 40243.56 rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**2 + 4*h. Suppose -p + 0*w - 5*w = -14, p - 12 = -4*w. Let d be q(p). Suppose a + a = x - 6, -3*x = a + 17. Put 2, d, a in ascending order.\nAnswer: a, d, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*w = -22*w - 8640. Suppose 0 = 112*l - 118*l + w. Does 6 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 84a2 (base 12) to base 6.\nAnswer: 151122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*s - 3*s - 4*s)*(73 + 2383 + 1479) to c + x*s and give x.\nAnswer: -3935","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l + 21. Let f(g) = -g**2 - 10*g. Let d be f(-10). Is z(d) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 143 = -0*r - 3*r, -4*r + 24 = q. Suppose w + w = 200. What is the remainder when w is divided by q?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22448 = 1515*i + 1291*i for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 140275699 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1*(-3*2 - -3). Suppose -s - t = 2*x, 1 + 5 = s - x. Suppose 5*f = -y + 44, -s*y + 132 = -0*y + 2*f. Is y a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11571137 divided by -5\nAnswer: -11571137\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 84276910 and 5270.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1236)\/5047)\/(129\/(-602))?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1392000 divided by 348000.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -4*(259*9\/(-36) - 1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 14, 490, 4, 3, 1 in descending order.\nAnswer: 490, 14, 4, 3, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 + 2. Suppose -2*l + y = l. Solve 0*n + l*n = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 43528 - o**3 - 14*o**3 - 215*o**2 - 43527 as i + w*o + a*o**3 + q*o**2 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - h - 1)*(3*h - 4*h + 3*h) + 5 + h**2 - 5 - 5*h**2 + 3*h**2 + 0*h**2 - 415*h**2 + 330*h**2 + 1753*h**2.\nAnswer: 1665*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -12*c + 3. Let s(g) = 3 + 93*g**2 - 2*g**3 + 3*g**3 - 96*g**2. Let a be s(2). Let l be m(a). Solve -6*d = -3*d - l for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2544*h**2 + 1249*h**2 + 1293*h**2.\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5341 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: b\"What is the ith term of 3772, 3605, 3334, 2965, 2504?\n\"Answer: i**3 - 58*i**2 + 3829","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -19\/5015170?\nAnswer: -19\/5015170","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (3 + -5 + sqrt(475) - (sqrt(475) + 3 + -3))**2)*6.\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**3 - 6*b**2 + 2*b - 7. Let o = -7 + 13. Let d = o - 0. Give p(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 + -5. Suppose p*s - 15 = -0. Suppose -x = -2*x - c + 12, -s*c = 2*x - 20. Calculate the highest common factor of 16 and x.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.1 (b) 2\/5 (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 1204?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = t + q + 10, 69 - 29 = -13*t + 2*q for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -2*q + n + 24, 3*n = 0. Suppose q = 5*o + 2. Is 2\/(208\/(-106) + o) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4428 + 4401.456. What is i rounded to one dp?\nAnswer: -26.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the second derivative of -s**5\/50 - 34*s**4\/15 - 13*s**3 - 2*s + 144. Determine h, given that g(h) = 0.\nAnswer: -65, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 253, 16, 38 in ascending order.\nAnswer: 16, 38, 253","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 111 - 22?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/5 + 17\/5. Suppose 0 = -2*a - 2*p - 4, 0 = p + n + 1. Which is greater: a or 1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -4*f - 5 + 1 + f**2 + 0. Let o = 14 - -15. Calculate the remainder when o is divided by l(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pppp. What is prob of picking 4 p?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 r when two letters picked without replacement from rrprrpepprr.\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 3*s - 985083 = 0. Let g = -139827 - s. Suppose -g + 1788534 = 4*z. Round z to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 157383 is divided by 44?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 + 1 = y. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*w = -30*w + 135. Let r be (-3)\/(-7) - w\/63. Let n(c) = c**2 - 2*c - 5. What is n(r)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 45 and 360?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00067 rounded to four decimal places?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 129040201613 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5 + 1 + 1)*85. Suppose 4*c - 7*c = -5*f + 1210, -f = -2*c - 816. Let w = i - c. Is w a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, 1\/6, 187?\nAnswer: 187","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 382609?\nAnswer: 157, 2437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 25, 5, 4.96?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w = 94*s + 2*w + 372, -2*s - 519 = -6*w - 523 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*o + 24 = -17*o - 4*b, 3*o + 5*b = -22. What is the smallest common multiple of 7 and o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1.4 and 34.\nAnswer: 32.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1476883463 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.477868cm to nanometers.\nAnswer: 64778680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u*u*u**(-5))**50)**(-2\/59) assuming u is positive.\nAnswer: u**(200\/59)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -6*w**2 + 18*w. Let y(j) = j**2 - j. Let c(v) = -k(v) - 5*y(v). What is the second derivative of c(i) wrt i?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**3 - 12*i**2 - 28*i + 22. What is a(-3)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:17 AM and 12:11 PM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + 1. Let c(f) be the first derivative of f**4\/4 - 14*f**3\/3 + 15*f**2\/2 - 19*f + 2. What is the remainder when c(13) is divided by h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 588 and 572388.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -243289132.8 rounded to the nearest ten thousand?\nAnswer: -243290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93*j + 58*j - 40*j + 162 = 939 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in -654, 111.4, 0.5, -3\/2, -3, -16?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/15)\/(6\/(-15))*-2\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 8) to base 5.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 8*l**2 - 4*l. Let h(f) = 7*f**2 - 3*f. Calculate 3*h(q) - 4*w(q).\nAnswer: -11*q**2 + 7*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = m - 2*w - 6, -8*m = -3*m + 3*w - 4 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6906 + 6906.1. Which is the closest to -1? (a) 4 (b) o (c) -0.4 (d) 0.16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 55 - 17. Suppose -4*v + 15 = -v, 3*t + 4*v - a = 0. What is the second derivative of t*u + 0*u + 35*u**2 - 51*u**2 wrt u?\nAnswer: -32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-430)\/34*121516\/(-17870)?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 4*o - 7*o. Let t(j) = 775 - 775 - o*j. Let q(w) = -16*w**2. What is q(t(x))?\nAnswer: -64*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(308)\/(2*sqrt(7)))\/sqrt(4).\nAnswer: sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1612 divided by 403.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a - 2. Let f = -41 - -59. Let b be f\/(-96)*2*(-4 + -4). Calculate c(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 4*y. Let r(u) = -23*u + 31*u + 0 - 2 + 0. Calculate r(m(q)).\nAnswer: 32*q - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(32\/(-8))*-2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48974 is divided by 44927.\nAnswer: 4047","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -449, 2, 1, 3 in decreasing order.\nAnswer: 3, 2, 1, -449","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10203332 - -2323?\nAnswer: 10212321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sqop when four letters picked without replacement from qqosqqpkssp.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 10923, 10926, 10929?\n\"Answer: 3*x + 10920","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/3 - 11\/(-15). Let h be (-5)\/(-4)*(-15)\/75. Which is the third biggest value? (a) h (b) m (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 81 = -3*p, 5*p = -3*r - 139 - 62. Let k be 1275\/(-9)*r\/1. Round k to the nearest 1000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2847871457 rounded to the nearest one hundred thousand?\nAnswer: 2847900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 205*n - 70 = 170*n. Suppose 0 = 9*r - 5*r - 20. Let z = 2 - -2. Solve u + n*u - 14 = z*a, -r*a = 5*u for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2\/3 - 1568*z\/3 - 1571.\nAnswer: (z - 1571)*(z + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 694*r**2 - 233*r**2 - r + 122*r**2 + 2*r**3 to the form u + n*r + g*r**2 + h*r**3 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/27 in -1, -3, 7.5, -9, -2, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the second derivative of -l**4\/36 + 5*l**3\/6 + l + 25. Solve m(f) = 0.\nAnswer: 0, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 969 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10495.755ms to hours.\nAnswer: 0.0029154875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 16*b + 194. Let j be m(-12). Solve 2 + j = y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3167, -12928, -29131, -51770, -80839, -116332, -158243?\nAnswer: -206566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 783 and 3828?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 6 - 2)*(5 - 4 + 0) + 0 + 5 - 2)*(10*g**3 + 58*g**3 + 24*g**3).\nAnswer: 368*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -862\/5705 + 6\/163. Let q = 59\/210 + f. Calculate the common denominator of -3\/40 and q.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*x = 15*x - 13*x + 561 for x.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 367946*u + 28*u**3 + 2 - 4 - 367953*u in the form t*u**3 + v + n*u + b*u**2 and give n.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1084196160 to the power of 1\/2, to the nearest integer?\nAnswer: 32927","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2938951 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l**2\/2 - 55*l\/2 = 0 for l.\nAnswer: -11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-54)\/81)\/((-42)\/126*(-1)\/9).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9977487 and 27?\nAnswer: 89797383","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 348 = 2*q, -88*o + 562 = -85*o + 5*q. What is the remainder when o is divided by 31?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.1 - 0.1. Let j = 0.18 - 0.208. Let y = l + j. Round y to 2 dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/90 - -4*(-33)\/(-315).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 + -14. Let y(k) = 3*k**2 + 4*k - 5. Is y(p) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 + 5. Let x = 2 - g. Suppose 4*i - 27 = 5*f, -3*i + x*f = 5*f - 6. What are the prime factors of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -2*g. Let c be s(2). Let a = -1 + 18. Let r(w) = -7 - 13*w + a - 14. Let h(p) = -3*p - 1. What is c*r(z) + 18*h(z)?\nAnswer: -2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -155866 - 0?\nAnswer: -155866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*b + 1496 - 968 = 0. Which is bigger: 57 or b?\nAnswer: 57","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 358 - 73?\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 397428*g - 2578298*g - 859130*g. Let y be m(-1). Suppose 5*p - y = 4*f, -6*f + f + p - 3800000 = 0. Round f to the nearest one hundred thousand.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.57 + 0.0506360514.\nAnswer: -0.5193639486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 2 n when three letters picked without replacement from khiaahiniapnahn?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 370 = d + d, 4*d + 260 = 2*v. What is the units digit of ((-1)\/2)\/((-4)\/v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -68 + 77. Let c(u) = -u**3 + 11*u**2 - 6*u - 9. Let y be c(9). Calculate the highest common factor of j and y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -47 - -74. Let r = 97 - 53. Let f = r - k. Solve x - 2*t = t + 12, 4*x + t + f = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81289399 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*i**2 - 307*i + 307*i.\nAnswer: -7*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -668 at most 5\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -22 * -5556.\nAnswer: 122232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -18160288 (base 9) to base 12\nAnswer: -3085482","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 15) to base 2\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2335*l = 2365*l + 18803400. Round l to the nearest 10000.\nAnswer: -630000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 u when two letters picked without replacement from {g: 5, u: 4, c: 8, o: 1}.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3613606 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 54 + -12. What are the prime factors of f?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (24\/52)\/(15\/195) - (-29)\/(-5)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(525) - (sqrt(525) - 3*(sqrt(525) - sqrt(525)*-2)))\/(6*sqrt(243)\/sqrt(9)).\nAnswer: 5*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -2*t - 25. Suppose 20*b = 22*b + 32. What is the least common multiple of (-1 - (-22)\/4)*2 and z(b)?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 992\/(-1581)*1\/(-20)*3 and -3\/50.\nAnswer: 850","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -2 + 4 - (-13 + 27 - 6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1\/10 (b) -1\/5 (c) 3.12 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 + -2 + 6 + 0. Put -2, -24, b in increasing order.\nAnswer: -24, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 2 b when three letters picked without replacement from {b: 2, f: 1, u: 4, j: 1, w: 2}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2225 is divided by 738?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(2\/7)*o*o*o\/o**(2\/17))**(1\/24)*(o*o\/o**(-1\/2)*o)**(-45)*o**4\/o**(2\/21) assuming o is positive.\nAnswer: o**(-20871\/136)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10530, 42081, 94684, 168351, 263094, 378925?\nAnswer: 515856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 348 divided by 348?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 9649 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - f)*(3935 + 2402 - 10443).\nAnswer: 4106*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g + 3*k - 3, 5*k - 9 = -5*g + 2*k. Which is the biggest value? (a) -0.4 (b) 3\/2 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 208707553?\nAnswer: 71, 2939543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 618842010?\nAnswer: 2, 3, 5, 197, 104711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**2 - 14*f + 3. Let v = 139 + -150. Let c be s(v). Is c less than or equal to 35?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes after 12:07 PM?\nAnswer: 6:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -87 - -59. Let j be v\/(-10) - (-2)\/10. Solve -2*h = -3*x + 1, -3*h - j = -0*h - 4*x for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 254558 = -4*l + 2*w, 0 = 3*l - 4*w - 190911. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 3*x = -x - 20, -3*x - 21 = -4*u. Calculate the remainder when u is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -300 - 302001243?\nAnswer: -302002043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -147 = -11*s - 191 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, b: 2, q: 1, d: 1, g: 1, a: 1}. Give prob of picking 1 g and 1 b.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*r - 12 = -45*r. Let f(m) = m - 1. Let w(a) = -2*a**3 - 8*a + 5. Determine r*w(g) + 5*f(g).\nAnswer: -2*g**3 - 3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/118, 19, 0.5, -0.18 in descending order.\nAnswer: 19, 0.5, 3\/118, -0.18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 428, -67 in decreasing order.\nAnswer: 428, -1, -67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1938.9 + 1939. Sort 0.4, 1\/33, -7, b, 2\/3 in descending order.\nAnswer: 2\/3, 0.4, b, 1\/33, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.96 - 0.9428. Let r = u + -0.022. What is r rounded to three decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * -19.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -652807272 plus 103.737?\nAnswer: -652807168.263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 10\/169791 (b) -1 (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 - 7) + 345\/75. Which is the smallest value? (a) -2\/15 (b) -3\/2 (c) 1\/11 (d) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19 (base 12) to base 8.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -4) + (0 + -8 - -5)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/4, -0.9, 4, 651, 0?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5457 + -3499. Suppose 0 = -5*m - j + g, -2*m + 780 = -0*j + 2*j. What is the tens digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -21245\/97 + 219. Is -1 at least n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:40 AM and 3:02 AM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2338378 is divided by 2120.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 165246 and 0.053364?\nAnswer: 165245.946636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - 42 - 6. Suppose 0 = -5*p + 13 + k. Suppose -2*u + p*u = 99. Calculate the highest common divisor of u and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 13*q - 25. Let s(b) = 14*b - 27. Determine 3*j(r) - 2*s(r).\nAnswer: 11*r - 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 39.1 and -0.7.\nAnswer: -27.37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 53543744, 107087492, 160631240, 214174988?\nAnswer: 267718736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 17*270\/1020*(-40)\/270*33?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -s - 26, 0 = d - 4*d + 3*s + 6. Find the third derivative of 54*b**2 - 7*b**d - 11*b**2 + 87*b**6 wrt b.\nAnswer: 9600*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-42150)\/25290*(-52)\/10?\nAnswer: 26\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q - 5*u + 23, -4 = -3*q - 5*u + 7. Calculate the remainder when q is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**3 + 5*b**2 + 2. Let n be x(-5). Suppose -5*l - 12 = -3*h, 5*l + n*h - 8 = l. Let q = 174.5 + -174. What is the closest to l in 1\/8, q, -1?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12 - 11. Suppose 3*z - 10 = -p. Suppose -z*q + 7 = 1. Solve -11 = -5*d - 4*x - 0*x, -x + q = 2*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 2*s = -12, -3*s = 4*l + s for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 233150*l - 7.\nAnswer: -233150*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:02 PM and 6:36 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17106.\nAnswer: 2, 3, 2851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 0*l + 15 = -5*r, 3*l = 3. Let d = -0.2 - -0.2. Let n = -0.693 - -0.493. Which is the nearest to d? (a) n (b) r (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 167 - -212. What is the hundreds digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (0 - 5 - (-2 - 10))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 2, -3, 105?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3966710 is divided by 18.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 41 (base 15) to base 2\nAnswer: 111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1416 - -731. Let k = s + 689. Let o be ((-9)\/(-2) + -1)*2. Solve -2*w - k = 5*r, 0*w = -w + 2*r + o for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 23988199?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**2 + 33*r + 7. Let u(z) = 2*z**2 + 34*z + 6. Determine 5*h(v) - 6*u(v).\nAnswer: -7*v**2 - 39*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -686646659311\/1241350 - -20466434\/37. Let w = 1\/1525 - y. Calculate the common denominator of w and (-2)\/((-48)\/747)*13\/((-780)\/16).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1*3)\/((9\/(-2))\/3). Find z such that -62 + 2*z - 4*z**2 - c*z**3 + 116 - 50 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 - 2. Suppose 0 = w + 3*h - 15, 20 = -2*w + h + 3*h. Suppose w = m*u - u - 710. Round u to the nearest 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the second derivative of 13\/51*x**3 - 1\/170*x**5 - 1\/51*x**4 + 163*x - 10\/17*x**2 + 0. Let b(l) = 0. What is l?\nAnswer: -5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -4 and -101565.\nAnswer: -101569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes after 12:07 AM?\nAnswer: 9:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 33.175*216\nAnswer: 7165.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 756 - 400. Let q = 356.0000033 - c. Round q to 5 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13682665 is divided by 157.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/((-56)\/(-26)) + 6\/8. Let b = 0.01 - -0.09. Put b, 3\/7, m, 8 in descending order.\nAnswer: 8, 3\/7, m, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -749 - -742. Put q, -3, 1, -1 in decreasing order.\nAnswer: 1, -1, -3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*y + 3\/7*y**5 + 15\/7*y**3 + 12\/7*y**4 + 0 + 6\/7*y**2.\nAnswer: 3*y**2*(y + 1)**2*(y + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 5 + 2*j**2 - 5. Let t(l) = 1. Let r = 7 + -4. Let z(f) = f**2 - 5. Let w(m) = r*z(m) + 15*t(m). Give w(u(k)).\nAnswer: 12*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -29*n - 401. Let d(q) = -10*q - 153. Let y(z) = -8*d(z) + 3*l(z). What is y(3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the second derivative of i**3\/6 + 7*i**2\/2 - 2*i. Let f be m(-4). Suppose 2 = f*p - 13. Calculate the smallest common multiple of 7 and p.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 39 = -2*m, -3*m - 27 = -x - 2*x. Let f = m + 26. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -331 + 142. Let s be 2\/(-9) + 4629\/m. Let v = 25 + s. What is the third biggest value in -0.1, 1\/7, v?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28*q + 11636 - 11636)*(4 - 1 - 1) - 1 - 1 + 3 + 2*q.\nAnswer: -54*q + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14 + 8. Let b be (2\/6)\/((-5)\/(-90)). Let w = b + l. Solve w*y = y - 1 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -48*o + 7. Let q be d(-6). Suppose 3*l - q = -2*l. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.237834 millilitres?\nAnswer: 0.000237834","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 0 = 8, 0 = 2*i - 3*m - 16. Suppose 31*d = 26*d. Suppose -4*z + 109 - 9 = d. What is the highest common factor of i and z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 4*o + 5. Let a be 4\/5*(-5)\/2. Let x be g(a). What is the smallest value in x, -0.3, -2\/7?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n - 2. Let c be z(-2). Let h(m) = m**3 + 5*m**2 + 5*m + 5. Let y(x) = -x**3 - 4*x**2 - 4*x - 4. Let t(b) = c*h(b) - 5*y(b). Factor t(s).\nAnswer: s**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(156)\/sqrt(4)*1)\/(2*sqrt(432) - sqrt(432) - (sqrt(3) + (sqrt(3) + sqrt(3) + sqrt(12)\/sqrt(4))*-3))*-4.\nAnswer: -4*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m + 1. Let d(w) = -w + 7. Let g(h) = -d(h) + 2*o(h). Let z be g(-13). Which is smaller: z or 9?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1749*x + 1782*x - 132 = -475 - 2957 for x.\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1470 times 63925?\nAnswer: 93969750","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 117*r - 137*r - 420 = 0. Let c be (-93)\/r - 18\/42. Solve c*b + 7 = -7*k + 4*k, -2*b - 1 = -k for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2087*t + 29363 - 7998 = -97594 for t.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4690, -8846, -13010, -17182, -21362, -25550?\nAnswer: -29746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*l + 6 - 4*l + 6*l - 34*l**2 - 14*l**2.\nAnswer: -48*l**2 + 2*l + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*f**3 - f**3 - 2*f**3)*(-8 - 4*f + 3*f - f).\nAnswer: -4*f**4 - 16*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**3 + 3*s**2 - 2*s. Let d be r(2). Let x = d + 2. Suppose m + 3 = 2*m. Solve 4*n - 4*a + m = -1, -2 = -x*n - 2*a for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8842027 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 125 and 103825?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 3 + 1 + (4 + 0 - 3)*(5 + 1 - 4) + 4 - 3 + 3 - 4 + 4 + 2)*(-74*f + 88*f - 12*f + f**2 - 431) in the form x*f + b + o*f**2 and give o.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 64909 (base 13) to base 14\nAnswer: 4a2d6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11145750?\nAnswer: 2, 3, 5, 7, 11, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*-3867.\nAnswer: 1933.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33\/(66\/(-4))*-2215?\nAnswer: 2, 5, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*c + 4*c + c)*(2 - 1 + 0) - c - 4*c + 7*c.\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 174*y - 13 + 44*y + 55*y - y to the form a*y + f and give a.\nAnswer: 272","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, g: 1, n: 1, k: 1, o: 3}. What is prob of picking 1 n, 1 o, and 1 g?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.16 rounded to one decimal place?\nAnswer: 12.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 47 + -31. What is the remainder when i is divided by (81\/36)\/(3\/8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**3 + 14*m**2 - 5*m + 93. Give s(7).\nAnswer: 401","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -731, -735, -741, -749, -759, -771, -785?\nAnswer: -801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2216 (b) -0.06 (c) 0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 106007 + -30?\nAnswer: 105867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 60 = -4*g. Let j = -16 + g. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 476 is divided by 89?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 6) to base 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36001483?\nAnswer: 7, 47, 73, 1499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 540\/(-16)*((-78720)\/18)\/8.\nAnswer: 2, 3, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1466, -1576, -1726, -1916?\n\"Answer: -20*d**2 - 50*d - 1396","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/35 - 3\/7.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**3 - 5*m**2 - 4*m - 2. Determine l(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, 0.4, 27, -0.1, 865, -6 in ascending order.\nAnswer: -6, -0.1, 0.4, 2\/3, 27, 865","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 908769 and 1038?\nAnswer: 519","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 4514*t + 2. Let u(b) = 443 - 145*b**2 + 144*b**2 - 443. Determine n(u(s)).\nAnswer: -4514*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b - 51 - 54. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes after 11:08 PM?\nAnswer: 12:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + z + 3*z + 16744 = 0, 3*p - 25126 = z. Suppose 0*l = 2*l - p. Suppose 3*y = -9, 4*y - l = -2*k - 0*k. Round k to the nearest 100.\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*f + 2088 + 8*f + 10*f - 1058 - 1021.\nAnswer: 21*f + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*w = -2*a - 2537, -2646*a = -2646*a - 5*w - 385 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the third derivative of b**8\/1008 + 2*b**7\/315 + b**6\/180 - b**5\/45 - b**4\/24 + 22*b**2. Factor n(d).\nAnswer: d*(d - 1)*(d + 1)**2*(d + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 338203280?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2343040 - 444?\nAnswer: 2342041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(2\/3)\/z*z\/((z\/z**(-3))\/z)*z)\/((z\/(z\/z**(-6)))\/(z**(-5)*z))*(((z**1\/z)\/z*z*z)**45)**(-6\/17) assuming z is positive.\nAnswer: z**(-776\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1924, -3924, -5924, -7924?\nAnswer: -9924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4 - 14)\/(-1 + -2 + 1). Solve d*z - 22 = -3*k, -5*k + 5*z - 28 = -2*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.59 - 1.207. Let a = -0.4018 + z. Round a to three decimal places.\nAnswer: -0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1984 is divided by 622.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.1 and -127827797.\nAnswer: -127827797.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 15*r**3 + 95*r**2 - 7*r - 4. Let j(g) = 15*g**3 + 107*g**2 - 8*g - 5. Give -8*j(u) + 9*t(u).\nAnswer: 15*u**3 - u**2 + u + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 m when two letters picked without replacement from {m: 10, o: 5, a: 4}?\nAnswer: 50\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 817584?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 938.562 millennia?\nAnswer: 11262744","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -41, 0.4, 15, 2.1 in descending order.\nAnswer: 15, 2.1, 2, 0.4, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 56.83386ug in tonnes?\nAnswer: 0.00000000005683386","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y\/(y\/(y\/y**(1\/4)*y)))*y**(-1)*y**(-1\/15)*y*y\/y**8)\/((y**6\/y)\/(y*y*y**(-2)*y))**26 assuming y is positive.\nAnswer: y**(-6709\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/(-15) + (-612)\/30 + 20.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the third derivative of -2*w**7\/35 - w**6\/6 + w**5\/3 + 5*w**4\/6 - 4*w**3\/3 + 5*w**2. Let c(t) = 0. Calculate t.\nAnswer: -2, -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 46, 72, 90, 100, 102, 96, 82?\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18 + -13. Let t(n) = 4*n**2 + r*n**2 - 14*n**3 - 9*n**2. Let k(q) = -5*q**3. Suppose 2*d - 3*i + 19 = 0, 4*d - 3*i + 2 = 3*d. Give d*k(s) + 6*t(s).\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 11*g**3 - 2*g**2 - 2*g + 3. What is the remainder when l(3) is divided by 1\/(11\/1) - (-1965540)\/35156?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*m + 221627134 = -33732866. What is m rounded to the nearest 1000000?\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5314741725.\nAnswer: 3, 5, 70863223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6139 and 28?\nAnswer: 24556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*((-2)\/90)\/(21\/21).\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.5 - -1.8. What is the third biggest value in 1\/5, 2\/19, v?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-1 - 10\/(-6)). Suppose y - 12 = r*y. Let k(t) = t**2 + 7*t + 7. Determine k(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4046146, -8092260, -12138352, -16184428, -20230494, -24276556?\nAnswer: -28322620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-58*c - 56*c + 161*c)*(1 - 1 + 3*c) - c**2 + c - c + c**2 - 2*c + 2*c - c - c**2 + c + (-2*c - 2*c + 6*c)*(0*c + 0*c - c) - 6*c**2 + 3*c**2 + 4*c**2.\nAnswer: 139*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 357276 and 228.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 0*k + k + 3*k - 2 + 6. Calculate p(-6).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5430961433 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 2, -12, -5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u = 2*m + 7, 357*m - 353*m + 5*u = 1 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 212 and 332734?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-47 - -2) + 20 + 1 + -12 - 0.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12107 + 2*w - 12107 - 9771*w**2 to t*w**2 + v*w + b and give t.\nAnswer: -9771","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 318187? (a) -2\/11 (b) 1 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(4*sqrt(104)*-6)\/(sqrt(48)\/sqrt(24) + sqrt(8)).\nAnswer: -48*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**(2\/5))**(-38))**(-40)\/((j**(-1\/3)*j**(2\/15))\/(j**(-2\/5))**(1\/6)) assuming j is positive.\nAnswer: j**(13682\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(1 + sqrt(2000) + -1 + -4) + -2)**2.\nAnswer: -800*sqrt(5) + 8100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 - (12 - (-3 + 10)). Let r be (3 - 4)\/(43 + 2 + o). What is the nearest to r in -0.5, 3\/4, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 74 in 2\/17, -5, 0.3, -16?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 58092?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 6528792187 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 141 is divided by 86.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s - 10 = m + 2*m, -4*m - 20 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 20*h**2 - 61*h + 597. List the prime factors of i(12).\nAnswer: 3, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 - 13. Is 4 a factor of -3*41\/3*h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 51927101 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002071196 to 3 dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (92 - 28 + 39 + 57)*(-2*a + 0*a + 4*a) in the form q*a + o and give q.\nAnswer: 320","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-443)\/9 - (-60)\/270. Let q = 60 + i. Let f(y) = y**3 - 12*y**2 + 15*y - 9. Let s be f(q). Calculate the greatest common divisor of s and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 71.06561l?\nAnswer: 71065.61","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven halves of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -3*s**3 + 6*s + 6. Let y(a) be the second derivative of a**5\/4 - 11*a**3\/6 - 11*a**2\/2 - a. Suppose 7*m + 1036 = 1113. Calculate m*w(u) + 6*y(u).\nAnswer: -3*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, l: 1, k: 2, n: 1, a: 1}. Give prob of sequence amn.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*l**2*t**3 + 14*l**2*t**2 + 548*l*t**4 - 15*t**2 wrt t?\nAnswer: -12*l**2 + 13152*l*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 25303 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 2*w**2 - 33. Let v(r) be the third derivative of -5*r**4\/8 + 24*r**2 - 30. Determine v(c(y)).\nAnswer: -30*y**2 + 495","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2008, -4004, -5994, -7978?\nAnswer: -9956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*u**2 - u**3 - u + u + (-145*u**2 - 2199 + 2199)*(-4 + u + 4) to the form j*u**3 + v*u**2 + q*u + z and give j.\nAnswer: -146","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is (11\/(-33))\/(-2 + 5235\/2619) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.11, -1\/5, -2, -3, -21, 14\/3?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (53 + 1276*p - 378*p - 51)*(0*p - p + 0*p).\nAnswer: -898*p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-3*(-91)\/(156\/12))\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2342164 divided by -585541.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7*f**2*n - 9*f**2 + 4757*f*n + 5*f + 20052666*n wrt f.\nAnswer: 14*f*n - 18*f + 4757*n + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3 - 1)*(4*n**3 + n**3 + 2*n**3).\nAnswer: 28*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a litre in millilitres?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12 + -12. Let p = -1784\/39 + 140\/3. Is p smaller than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - -2) + 23 + -28\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 4, p: 1, z: 3, h: 2, e: 9}. Give prob of sequence phme.\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2425 = -4*l - 957. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6400.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2938401 minutes to days.\nAnswer: 0.000204055625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -6*n**2 + 17*n. Let k(q) = -68034*q. Determine w(k(j)).\nAnswer: -27771750936*j**2 - 1156578*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18066 to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3*o - 3 + (-o + 2*o - 3*o)*(-2 - 1 + 5))*(-415*o + 206*o + 209*o - 217*o**2).\nAnswer: 1519*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 13750*f + 9. Is k(2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -528279*r**6 - 3*r**5 - 15*r**2 - 2*r - 37821?\nAnswer: -63393480*r**3 - 180*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -41*d**3*f*t**2 + 1896*d**3*f + 44*d**3*t**2*u - 16*d**3*t - 2*d*f*t**3 + 21*d*f*t*u + t**3*u wrt u?\nAnswer: 44*d**3*t**2 + 21*d*f*t + t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 34 + -75. Let p = n - -52. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/2352 and -19\/2541.\nAnswer: 284592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-16 - -9)*12\/(-14). Let t(v) = 3*v - g*v - 11 + 2 + v. Let f(r) = r + 4. Let n = 3 - 8. Determine n*f(d) - 2*t(d).\nAnswer: -d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 1)*(4 - 4 + 1)*(2*i + i - 2*i) + 2*i - i + 0*i + 2*i - 4 + 4 + (-2*i + 3 - 3)*(-1 + 3 - 3) + 4 + 2*i - 4.\nAnswer: 8*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -5*r + 5. Let d(b) = -5*b + 5. Let c(y) = 0*y - 6*y + 9*y - 3. Let w(n) = -7*c(n) - 4*d(n). Let j be 1\/2*-4*2. Calculate j*x(s) + 18*w(s).\nAnswer: 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 766.\nAnswer: 2, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c + 0 = -6. Let p(l) be the second derivative of -l**4 + l**2\/2 + 37*l. Determine p(c).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 52 and 257295142.\nAnswer: 514590284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1231 + -5131033?\nAnswer: -5125402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1050*g - 10 = 1045*g + 5*y, 2*y = -2*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -417 + 621. What is the units digit of c\/48 + 6\/8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*n**2*p**4 + 65*n**2*p**3 + 80*n**2*p**2 + n*p**4 + 2*n*p**2 - n wrt p.\nAnswer: 48*n**2*p + 390*n**2 + 24*n*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21\/((-78)\/(-5148)*154).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + ((4 + sqrt(252))*1 + -3 - (-5 + sqrt(252) + sqrt(252) + 2 + sqrt(252) + 2)) + -2)**2.\nAnswer: 48*sqrt(7) + 1012","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 - -3. What are the prime factors of (c - 0)*3*1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -x**5 - 22 + 22 + (x**2 + 3*x - 3*x)*(-x + x - 2*x**3) + x**5 + 2*x**5 - 2*x**5 - x**2 - 4*x**5 + x**2.\nAnswer: -6*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 53, 217, 669, 1553, 3013?\nAnswer: 5193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**3 + z**2. Let p be i(-1). Let b(n) = n + 6. Let v be b(-5). Do p and v have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 39.8 - 61. Let h = 24 + l. Let b = h + -2.6. What is the smallest value in 7\/3, b, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 1 = 2*h, 7*n - 2*n - 5*h = -35 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-2))\/(1380\/322*28\/(-6))?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 123?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/65*-3*730\/(-219). Factor -8\/13*m + 0 + 22\/13*m**2 + 2\/13*m**5 - 18\/13*m**3 + j*m**4.\nAnswer: 2*m*(m - 1)**3*(m + 4)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.1 - -0.5. Let w = 0.4 + -0.38. Let m = w + -1.02. Sort x, m, 2\/11 in ascending order.\nAnswer: m, 2\/11, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n - n - 3*n)*(3 - 2 - 4)*(7 - 7 + 10).\nAnswer: 60*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4130?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 22 = -38. Let u be 2\/z - (-1)\/(30\/(-34)). Which is smaller: u or 3\/11?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**3 - 9*b**2 + 13*b - 10. Give m(7).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-eight thirds of a year in months?\nAnswer: 112","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/11 (b) -2 (c) -0.01485 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 829171 to the power of 1\/2, to the nearest integer?\nAnswer: 911","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 64, -25, -356, -1079, -2344?\nAnswer: -4301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21880 is divided by 134.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4477 = 261*g - 28848 - 18433. Suppose 5*j + 6 - 85 = -3*b, -4*j - 4 = 0. Calculate the remainder when g is divided by b.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (2 + (-5 - 2)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 2*p**3 - 6*p**2 - 6*p + 11. Determine j(5).\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:29 PM and 9:02 PM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -4*h**5 - 8*h**4 + 128*h**3 + 384*h**2 = 0?\nAnswer: -4, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 31.7 + 0.3. Let s = z - 32.63. Round s to 1 decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l + 4*g - 16 + 11 = 0, 0 = -3*l - 2*g - 25 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42657 = 2751*x + 141693 for x.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/11)\/n)**(2\/11)\/(n**(-2\/13)*n**(6\/5)*n*n) assuming n is positive.\nAnswer: n**(-25518\/7865)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 262?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00139934 to five dps.\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 15*l + 38. Let w(m) = 16*m + 45. Let k(f) = -5*h(f) + 4*w(f). Let n be -2*2*14\/8. List the prime factors of k(n).\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*k**5 - 3*k**5 - k**5 + 2*k**5 - 2*k**5 - 2*k**5 + (-k**3 + k**4 + k**3)*(-2*k + 0 + 0) - k**5 - 5*k**5 + 4*k**5 + (3*k**5 + k**5 - 3*k**5)*(2 - 6 + 3).\nAnswer: -9*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:57 PM and 8:13 PM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1033, -1063, -1093, -1123, -1153, -1183?\nAnswer: -1213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 22 + -22. Solve r = 2*c + c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 16 = -6*y - 2*b, 4*y + 2*b = -40. Let v = y + 24. Suppose 4*j + 5*w - v = 143, -j + 26 = -3*w. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**3 + 1413*m**2 + 19625184*m + 16544181504.\nAnswer: -3*(m - 3127)*(m + 1328)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.876 - 0.124. Which is the nearest to -0.1? (a) -0.5 (b) n (c) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 791, 3\/4 in decreasing order.\nAnswer: 791, 3\/4, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -359 - 98*c**2 - 6110*c + 46*c**2 + 53*c**2 + 6166*c. Calculate d(-62).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r. Let k(z) be the second derivative of -z**3\/6 + 2*z + 4. Let s be (-4 - -3)*(2 + -1). What is s*k(n) - 4*f(n)?\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 313, 741, 1297, 1987, 2817?\n\"Answer: j**3 + 58*j**2 + 247*j + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = 5*n - 130. Suppose 0 = 3*f - f - n. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -334324\/13 + 25743. Let w = 25 - u. Let c = -107\/156 - w. Calculate the common denominator of c and -17\/20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -439, 0.3, 26, 3\/7, -0.52, 5?\nAnswer: -0.52","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2455668 to the power of 1\/2, to the nearest integer?\nAnswer: 1567","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.855 - -2.8. Let g = p + 0.113. What is g rounded to 2 dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 135037 is divided by 43527?\nAnswer: 4456","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(-5\/2))**(-3)\/(f**(-6\/5)\/f*f**(3\/13)) assuming f is positive.\nAnswer: f**(841\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2132988 and 7458.\nAnswer: 2132988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 8*k**3 + 10 + 13 - 22 wrt k?\nAnswer: 24*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23425307?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*s + 47*s - 134 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (5 + (-7 - 3))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -8*n**3 + 2*n**2 + n + 7. Give u(3).\nAnswer: -188","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:58 AM and 6:56 PM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 21833415954 plus -2?\nAnswer: 21833415952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -130557657173 take away 5?\nAnswer: -130557657178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 4145 (base 7) to base 14\nAnswer: 75c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 13*y = 12*y + 24, 0 = 2*y - 8. Solve -33 = -2*l - i*d - 3, -l = d - 9 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100*q + 573 + 543 = 24*q for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 91 + (-92 - 1200\/(-1280)).\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**8*w**(-2\/15)*((w**(-4\/5)*w)\/w)\/(w**4*w) assuming w is positive.\nAnswer: w**(31\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the second derivative of w**5\/20 + 3*w**4\/2 - 7*w**3\/2 - 14*w**2 + 102*w - 2. Calculate j(-19).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -129\/1338890 and -153\/561470.\nAnswer: 17405570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((65\/390)\/((-2)\/(-128)))\/((-6)\/(-9))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 93.5 less than 9.9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 2*b + 4*k + 44 = 0, 0 = 3*b + 4*k - 68. Suppose 3*r + 4*q - 9 = q, -r - 5*q - 13 = 0. Suppose n + r = 12. Solve -b = -n*d + d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y + 19. Let u(l) = -22*l - 5 + l**2 - 1 + 17*l. Let i be u(5). Let w be o(i). Do w and 24 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the third derivative of -s**5\/180 - 7*s**4\/36 - 49*s**3\/18 - 5*s**2. Solve y(r) = 0 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -4*j + 22. Let z be k(6). Let r be 144\/108 - (z\/(-6) + -1). Solve -m - 16 = -2*g + r*m, 20 = 4*g - 3*m for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 366*g - 148 wrt g.\nAnswer: 366","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1414, -1480, -1546, -1612, -1678?\n\"Answer: -66*z - 1348","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1*24\/(-4) - 8\/2. Sort j, -25, 5, -4 in increasing order.\nAnswer: -25, -4, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101*d + 6 = 102*d. What are the prime factors of -6 - ((-65)\/15)\/(d\/2196)?\nAnswer: 2, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 127 divide 790293714?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.0035 - 39591146\nAnswer: -39591145.9965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = s, -3*d - 5*s + 6 = -6*d. Let o be -2*(d\/(-36))\/(-1). What is the fourth biggest value in 2, -2, 5, o?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.3 from -1.4126.\nAnswer: -1.1126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1542, 1529, 1508, 1479?\n\"Answer: -4*n**2 - n + 1547","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**3 - 8*k**2 + 4. Let h be z(-8). Solve -4*t - 16 = 14*s - 9*s, -h*s - t - 15 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 220 and 1635898.\nAnswer: 16358980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10332579*p**4 + 35*p**2 - 13*p + 2166.\nAnswer: -247981896*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-10)\/4*(-28)\/35. Let h = -64 + 83. What is the third derivative of -6*i**2 + h*i**3 + 22*i**u + 21*i**3 - 49*i**3 wrt i?\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 715.2706 litres?\nAnswer: 715270.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1163711 (base 8) to base 9\nAnswer: 538881","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 820 = 5*c, c + 1 + 3 = 0. What is the highest common divisor of 14 and s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a - 14. Let x = -679 + 665. What is p(x)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39017*y = -39589*y - 2860 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, 3, -11, 56.\nAnswer: -11, -1, 2, 3, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 77431.1265ms?\nAnswer: 0.00012802765625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -702 + 697 - (19 - -1 - 2).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q + 2*q - 10. Suppose 3*x = 5*j + 32, q*x = 5*j - j + 24. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes after 12:55 PM?\nAnswer: 7:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -20021 - -11?\nAnswer: -20010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:38 PM and 5:21 AM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -367\/4 + 92. Let n = 4735 + -4815. Is l greater than or equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 9) to base 2\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + -6 - (5 - (-6 + 12)) - -7?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-16)\/6 + (-1)\/3. Let o be ((-4)\/16)\/(6\/(-312) - 0). Suppose o + 11 = 6*p. Sort 1, p, g.\nAnswer: g, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7290?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -232587, -232505, -232423, -232341, -232259, -232177?\n\"Answer: 82*y - 232669","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -36 + -1 + 0 + 7 + 22 + -21\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11276179.\nAnswer: 1051, 10729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -71*c - 1744. What is r(-21)?\nAnswer: -253","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -298908 or -298907?\nAnswer: -298907","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -870 by 145.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 8058732 divided by 1343122\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 + 4)\/((2 - 300\/144)*4). Sort x, -110, -3, -2 in ascending order.\nAnswer: -110, x, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = x + 4*w, 3*x + 0*w = -5*w - 11. Suppose -5 = 5*v + 5*d, d = -5*v - 3*d - x. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 1658?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24 + -21 - (-6 + (81 - (-2 + 3)) + 4)?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - 32 - 29 = o, 2*b - 128*o = -123*o + 29 for b.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15753, 126221, 426089, 1010055, 1972817, 3409073, 5413521, 8080859?\nAnswer: 11505785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes after 1:54 PM?\nAnswer: 12:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*u + 53*u + 28344 = 0. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8.8 - 8.91. Which is the second biggest value? (a) 3 (b) -1\/3 (c) g (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1778 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 2222.5515 minutes?\nAnswer: 37.042525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 205\/210397 at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.90603 rounded to one dp?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**0\/u)**(5\/9))**(-2\/31)*((u**(-1))**47)**(-7\/4) assuming u is positive.\nAnswer: u**(91831\/1116)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**3 + s**2 + 2*s + 1. Let l be k(-2). Suppose 0*b - l = -b. Solve 0 = -g + 4*t - 6, -3*g + 3*t = -0 + b for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1342*d**4 - 5*d**3 + 22*d**2 - 1378399*d.\nAnswer: 16104*d**2 - 30*d + 44","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 455 - 271. Solve -y = 2*j - 196 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -821, -3748, -8663, -15566?\n\"Answer: -994*y**2 + 55*y + 118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05797 less than 0.602677?\nAnswer: 0.544707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/3 (b) 1\/14 (c) 1\/4 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes after 9:57 PM?\nAnswer: 9:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -246.577 rounded to 0 decimal places?\nAnswer: -247","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the third derivative of 0 - 55\/24*k**4 + 0*k + 0*k**3 + 31*k**2 + 0*k**5 - 59\/120*k**6. What is the second derivative of c(j) wrt j?\nAnswer: -354*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the second derivative of -5*v**8\/56 + v**4\/4 - 6*v. What is the third derivative of j(m) wrt m?\nAnswer: -600*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2733750 divided by -10935.\nAnswer: -250","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10005 and 790165.\nAnswer: 68744355","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -276*t + 451 = 978*t + 4387 - 34032 for t.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a - -4cb4055?\nAnswer: 4cb4062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -2*p + 1. Calculate s(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*p + 3221 + 3115 = -10*p. Solve -42*g - p = 96 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1536351899 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 16045 divided by 7573\nAnswer: 16045\/7573","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*q + 3546 = 3546 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5 - (2\/2 + 1). Let x be (2\/(-1) + -4)*(-10)\/4. Solve q*t - 2*j = 7, x = 2*t - 5*j - 8 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 132201099?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes before 9:12 PM?\nAnswer: 6:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 4 = -21. Let x(g) = -g**2 + 7*g - 6. List the prime factors of x(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -727736513545\/9216 - -78964465. Let f = l - -1\/1024. Which is the closest to -0.2? (a) 1.6 (b) -2\/15 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -115\/882 and -95\/392.\nAnswer: 3528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 26 - -33. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 4*j = 100. Find the common denominator of -83\/14 and (-4)\/j - (-34)\/20.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + 40 - 88 = -15 for j.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 348\/406*(7\/(-3))\/(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 4 = 3*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.08, -4, 2\/9, 1544, -7 in ascending order.\nAnswer: -7, -4, -0.08, 2\/9, 1544","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 - 5*w**2 - 9*w - 27. Let n be t(7). Solve 4*f = -3*m + 4, -4*f = -3*m + 5*m - n for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 110\/33*((-25)\/30)\/((-10)\/6)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 0 - (37 + -40)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**2 + 2*w - 2. Let s be j(-3). Let r be 0*(s - (-6)\/(-4)). Let k be (-23522)\/(-21046) - ((-2)\/(-17) - 0). Solve -k = -r*n - n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mpmb when four letters picked without replacement from upbmmmjjmu?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - i + 94, -t = t - 5*i + 67. Let w = t - -43. Suppose 9*s = w*s - 45. Does 15 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 45898142 and -0.4.\nAnswer: -18359256.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a + 10, -4*b + 5*a - 82 = -b. Let g(h) = 6*h + 42. Determine g(b).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*b**3*s**5 - b**3*s - 1252*b**2*s + 6*b**2 + 2*b + 2143262*s**5 - 2*s wrt s.\nAnswer: -40*b**3*s**3 + 42865240*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 4*d = -5*d - 1204, 1984 = 5*u + 4*d. What is the greatest common factor of 320 and u?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1962*q**2 + 49*q**3 + 1960*q**2 + 0*q**4 + 3*q**4 - 3929*q**2 as g + j*q + p*q**3 + l*q**2 + u*q**4 and give p.\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2054)\/(-5) + 12\/(-15) + 0. Let i = -208 + d. What is the hundreds digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/20178 and -41\/6020.\nAnswer: 60735780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-1)\/(x*x*x**(-1\/6)*x)*(x**(-1\/3)\/x)\/x**5*(x**(-1))**(-8)*x*x\/x**(-2\/15)*x*x**(-3)*x assuming x is positive.\nAnswer: x**(-31\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**3 - 10*p**2 - 10*p - 7. Let d be n(-9). Let i = 5 - 5. Let t be (d - -2 - 2) + i. Solve t*h + 9 = -h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -28*(-1206)\/(-3216)*(-8)\/(-6)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 41 + 3. What is the remainder when z is divided by 18?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-1) - (-6 + -22 + 10)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(-95) + (-1215)\/171.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from {l: 3, u: 7, z: 4, m: 5}?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + -4)\/(10 - 8).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -5 + -32 + 20 + -112. Sort -5, 4, m, -2.\nAnswer: m, -5, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78*k + 1090 = -80. Solve k*f + 31 = 1 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -4*n - 42. Let t = 156 - 166. Let o be x(t). Which is the nearest to -0.1? (a) 10 (b) o (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**3 - 15*f**2 - 2*f + 8. Let a be u(-15). Let b = a - 51. Are b and -11 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w**4 + 2855*w**3 + 2870*w**2 - 5720*w = 0 for w.\nAnswer: -2, 0, 1, 572","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*a - 23*a + 7*a)*(2*a - 2*a - 2*a)*(3*a**2 + a**2 - 5*a**2).\nAnswer: -40*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 4060?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*(-6)\/(-4))\/((-6)\/(-20)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8089487 and 43190?\nAnswer: 4319","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 5*y - 30 = 0, -p + 3*y = -0*y + 10. Which is the closest to 0.1? (a) p (b) 2 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 657*z - 654*z - 609 = 0. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 275316 divided by 4?\nAnswer: 68829","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.7 and -0.78.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.133377 - -4188.1?\nAnswer: 4187.966623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q - 1. Let b(y) = 5*y - 5. Let c(w) = 2*b(w) - 9*p(w). Let j(r) be the third derivative of -r**4\/4 + 7*r**3\/6 + 2*r**2. Give -5*c(z) - j(z).\nAnswer: z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(1\/12)*j\/j**15*(j\/(j**2\/j))\/(j*j**(2\/5)))**(-4) assuming j is positive.\nAnswer: j**(919\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*j**2 + 0*j**2 - j**2)*(-j**2 + 0 + 0) + 2*j**4 - 42*j - 8*j**2 - 1108001*j**3 + 1108001*j**3 as v*j**3 + a*j**2 + q*j**4 + c*j + g and give a.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -86.77 + 89.17. Which is the fourth biggest value? (a) 0.4 (b) o (c) -0.3 (d) -6\/19 (e) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 271398.\nAnswer: 2, 3, 45233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 857297 is divided by 941?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**2 - 16*j + 32. What is a(-18)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.16966 rounded to 1 decimal place?\nAnswer: -5.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from blylylycbyybywyyby. Give prob of sequence ywc.\nAnswer: 1\/544","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.4, -5, -0.021?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -2*k**2 - 1057*k + 18595. Calculate m(17).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 172*y**5 + 58316*y**4 - 232412*y**3 + 283700*y**2 - 104288*y - 5488 = 0.\nAnswer: -343, -2\/43, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1387.23729 rounded to the nearest 100?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -362040 divided by -14.\nAnswer: 25860","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -96 at least as big as -387\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifteen quarters of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 8*c + 3*h + 29 = 0, -5*h = c + 19. Let t(l) = -l**2 - 4*l + 4. What is t(c)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(25) - sqrt(25))*-6)\/sqrt(1125) + 0.\nAnswer: -2*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 106*w**2 + 1 + 11 + 385*w**2.\nAnswer: 279*w**2 + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/626740 and -91\/30.\nAnswer: 1880220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 8741273782 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19 - 31. Let s be -1*v\/2 - -1. Let f = 9 - s. Let i(z) = z**2 - 3*z + 1. What is i(f)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 9570?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 + -12. Put 5, s, -5 in increasing order.\nAnswer: -5, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22098893 divided by -4?\nAnswer: -22098893\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 4 = -4*d, -5*d = -n - n - 11. Suppose -4 = -3*y - 52. Let z = -12 - y. Solve 3*a - n = 4*a - 3*q, -5*a - 21 = -z*q for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.011 * 5.\nAnswer: 0.055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30165 (base 12) to base 3.\nAnswer: -10011122012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkh when three letters picked without replacement from kkkkkckhhkkc?\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8274578?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -20 + 28. Let j(a) = 3*a**3 - 3*a**2 + 4*a - 6. List the prime factors of j(x).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the second derivative of -i**7\/420 - i**6\/90 + 2*i**3 - 9*i. Let m(x) be the second derivative of t(x). Suppose m(p) = 0. Calculate p.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19012231 to the power of 1\/2, to the nearest integer?\nAnswer: 4360","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6071.98 - -6072. Which is the fifth smallest value? (a) s (b) -0.15 (c) 3 (d) 6 (e) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/(u**(-2\/25)*u))\/u*u)\/u)\/(u\/(u*u**(-8\/3))) assuming u is positive.\nAnswer: u**(-269\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 16*p**2 + 2. Suppose 2 = g - 0, -g + 2 = 4*q. Let z = -2 + q. Let m be r(z). Round m to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63124720 a multiple of 536?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (2 - -3) - -5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 2*d**2 - 2*d - 57. Let v be s(-5). Suppose 0 = b + l + 4704002, -v*b + 17*l - 19*l - 14112004 = 0. What is b rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6277\/3 - 2135. Let a = 44 + p. Let h = -1122\/7 + 160. What is the nearest to 1\/3 in 1, h, a?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 295*a - 297*a = 4*d - 56, -10*d - 476 = -17*a for a.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16908 and 84?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9421562?\nAnswer: 2, 911, 5171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -432 = -3*w + p + 2*p, -5*p + 10 = 0. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12.91 + 13. Let n = -4.91 - k. Let v be 1\/((-2)\/4) - -3. Put v, n, 2 in descending order.\nAnswer: 2, v, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*u**5 - 36*u**5 + 10*u**5 + (-2*u**2 + 0*u**2 + 0*u**2 + (-5*u + 5*u + 5*u)*(17 + 6 - 6)*(-u - u + 4*u))*(4 - 4 + u**3).\nAnswer: 147*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -21*o**4 + 11*o**3 + 9*o**2 - 31*o - 20. Let x(y) = -26*y**4 + 12*y**3 + 12*y**2 - 31*y - 20. Let q(t) = 5*f(t) - 4*x(t). Factor q(z).\nAnswer: -(z - 5)*(z - 4)*(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 109 divide 263977290?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 171 = -40*m + 39*m. Let v = m + 171. Solve 4 = -v*d - 2*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -2*s**2\/11 + 24884*s\/11 + 124470\/11 = 0.\nAnswer: -5, 12447","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c. Let f(u) = 6*u + 1. Let q(o) = f(o) + 4*z(o). Determine q(-1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 + 21*z**2 - 23*z - 17. Let o be f(-22). Suppose -k - 293 = -o*x - 50, -3*x = -4*k - 904. Let l = k - -329. List the prime factors of l.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 0*d = -2*d + 5, 4*a - 4*d = 0. Suppose 43 - 3 = a*k. What is the second derivative of -13*s + k*s - s**3 + 7*s**3 wrt s?\nAnswer: 36*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4 and 95016.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 153681?\nAnswer: 3, 11, 4657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gxgx when four letters picked without replacement from {g: 3, x: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6076847?\nAnswer: 7, 868121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes before 3:16 AM?\nAnswer: 11:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 92 + (8 - 75) + 2194\/(-88).\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3 - 4\/1*1)*1. Let q(i) = -8*i**2 - 1. Determine q(r).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -476 less than or equal to -478?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0\/(3\/(5 - 2)). Suppose 5*l - 33 = 2*l + 5*b, o = -2*b. What is the highest common factor of l and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**24*a**(1\/67)*a)\/(a\/(a*a\/(a**(-14)*a*a))*a\/((a*a**(4\/15))\/a)*a))**(1\/14) assuming a is positive.\nAnswer: a**(5209\/2010)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**2\/4 - 3*q\/2 - 4.\nAnswer: (q - 8)*(q + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 7 = 2*k + 1, 0 = 5*k - t + 3. Suppose 5*b + 0*b = 0. Suppose b = -0*o - 5*o + 10. Solve -p + o*p = k for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*((-1)\/5 - (-4488)\/440)?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**2 - 3*n + 1. Let k be o(2). Let x = 1 + -0.1. Let p = -1 + x. Which is the closest to k? (a) -0.4 (b) p (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5f02d07 + 3?\nAnswer: -5f02d04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 656 - 395 = 3*c. Calculate the highest common divisor of c and 348.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 183 in 33\/4, 10, 0, -2, -3?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes before 4:21 PM?\nAnswer: 11:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -171 divided by -26\nAnswer: 171\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 2\/11001769?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (40393600\/39)\/(8\/60). What is m rounded to the nearest one million?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 2738781?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 4 - 1)*(2*j - 2*j - j**2)*(-3 + 0 + 4 + (1 + 0 + 0)*(0 + 2 - 1) - 26 + 107 - 42).\nAnswer: 205*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 8*h - 13. Let k(a) = -8*a + 14. Let r(x) = -5*k(x) - 4*t(x). Let o be -4*25\/40*-2. Let b be r(o). Calculate the greatest common factor of 2 and b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 12 = 4*f, -2*y - f = 2*y - 12. Factor -14\/3*h + 2\/3*h**5 - 16\/3*h**2 - 4\/3*h**y + 4\/3*h**4 - 4\/3.\nAnswer: 2*(h - 2)*(h + 1)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/30 + (-2562)\/(-630). Let x = -24\/11 - -107\/44. Suppose -2*u + r + x*u**2 = 0. Calculate u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the first derivative of 0*i**3 + 1\/5*i**5 + 0*i**4 - 3*i - 4 + 0*i**2. What is the first derivative of z(o) wrt o?\nAnswer: 4*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6713*m*r + 4169*r wrt m.\nAnswer: 6713*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-12)\/(-4) - (4 + -2 - 3). What is the second smallest value in 0.9, 0.5, g, 0.1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**3 - 22*b**2 - 47*b - 24.\nAnswer: (b - 24)*(b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9460, 18946, 28428, 37906, 47380, 56850, 66316?\nAnswer: 75778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 85*a - 1. Let d(n) = 28*n - 4. Let j(p) = 3*d(p) - q(p). Let w(z) = z**3 - z - 11. Determine 3*j(i) - 2*w(i).\nAnswer: -2*i**3 - i - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/5 (b) -0.5 (c) -4\/3 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 19 and 10.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -3*j**2 + 165. Let o(b) = -b**2. Calculate i(o(m)).\nAnswer: -3*m**4 + 165","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2605, 1344, -4.\nAnswer: -2605, -4, 1344","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the second derivative of -n**3\/3 + 3*n**2\/2 + 13*n. Give o(-5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 122? (a) 2\/7 (b) -17\/91 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -16*k**2 - 6*k - 208. Let p(t) = -47*t**2 - 17*t - 625. Let u(q) = 2*p(q) - 7*y(q). Find the first derivative of u(h) wrt h.\nAnswer: 36*h + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -57 divided by -1\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*s = -24*s - 93*s + 6847050. Is s a multiple of 104?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - -9 - (-10 + 5 + 2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4633659?\nAnswer: 3, 171617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 507\/(-6) + (-5)\/10. Let a = -3229\/38 - n. Is -2 > a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*r**4\/2 - 1067*r**3\/2 - 1123*r**2\/2 + 903*r\/2 + 486 = 0.\nAnswer: -81, -1, 12\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 105 - 109. What is the smallest value in -2\/17, a, -5, 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*c = 10759 - 10693 for c.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in 0, 0.4, 7, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 11050*q**4 - 5*q**2 - 55*q - 25. Let o(y) = -5529*y**4 + 2*y**2 + 27*y + 12. Let x(h) = -4*j(h) - 9*o(h). What is the third derivative of x(d) wrt d?\nAnswer: 133464*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 3, -2\/45, 0.1968, 2, 0.03 in decreasing order.\nAnswer: 3, 2, 0.1968, 0.03, -2\/45, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -4 (b) 0.2 (c) -2029 (d) 0.4 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 810809.2 nanometers?\nAnswer: 0.08108092","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 132493 (base 12) to base 3.\nAnswer: 121000100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4497 in -288, -4, 4?\nAnswer: -288","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the third derivative of w**6\/720 + 5*w**4\/3 - 39*w**2. Let h(j) be the second derivative of i(j). Let g(c) = 91*c**2. Give g(h(n)).\nAnswer: 91*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4328 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, -109 in descending order.\nAnswer: 4, 2, -109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*p - 4 + 12 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.26 + -0.2. Let v = o + 0.34. Let g = -23\/87 + -2\/29. What is the nearest to g in 0, -4\/3, v?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 279 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 64050060\/(-105) + 4\/7. Round c to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*v**4 - 5*v**2 + 7*v - 28 wrt v?\nAnswer: -48*v**2 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 57.36769 + 13.54401. Let r = -71 + w. Round r to 2 dps.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**3 + 17*b**2 + 18*b + 32. Let s be u(-16). Solve -5*i + 5*y - 25 = 5, s = i + 3*y - 14 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, 10, 0.07, -0.13, 5, -6?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1a8 - -2?\nAnswer: 1aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -545 divided by 97151\nAnswer: -545\/97151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 28696118*a**5\/7 + 8665668*a**4\/7 - 114908240*a**3\/7 - 34662240*a**2\/7 + 495072*a\/7 - 1728\/7 = 0.\nAnswer: -2, -6\/19, 6\/869, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2221311330 (base 4) to base 7.\nAnswer: 5625132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001621627969 rounded to seven decimal places?\nAnswer: 0.0001622","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 16892676*g**3*p - 152333584*g**3 + 2*g*p wrt p.\nAnswer: 16892676*g**3 + 2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*o - 14*o = -32. Let p = -5 + 7. Solve 3*k + r = o, -p*r = 4*k - 7*r + 4 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -241.19 to the nearest 10.\nAnswer: -240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/6*1218\/(-116)*49\/((-5831)\/1938).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*g + 11*g - 22. Suppose b - 4*y + 15 = 0, -b - 5*y + 40 = g*b. Solve -4*m + 3*m = -b*q - 15, 3*m - q = 17 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by -12995.\nAnswer: -6\/12995","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**3 + 7*s**2 + 8*s - 8. Let g be u(-5). Let q(b) = g - 2 + 14*b**2 - 15*b**2. Let x(m) = -25*m. Calculate x(q(r)).\nAnswer: 25*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3868? (a) -0.046 (b) 2\/7 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -105, 5, 59, -1.\nAnswer: -105, -1, 5, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - 0. Let o = -0.2 + 1. Let j = o - l. What is the second biggest value in 2, j, -2\/21?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**1)\/b*b)**(-3\/13)\/(b**4*b**3) assuming b is positive.\nAnswer: b**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.4 + 1.72. Let x = 20.68 + z. Let h = x + -21.0000102. What is h rounded to six dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5\/(-7)*(2 - 24\/10). Sort -4, -0.4, 1\/9, i in descending order.\nAnswer: i, 1\/9, -0.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 498*y - 475*y - 207 for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the first derivative of -t**6\/360 - 17*t**5\/120 - 5*t**4\/4 - 245*t**3\/3 + 31. Let f(n) be the third derivative of x(n). Factor f(i).\nAnswer: -(i + 2)*(i + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w\/(w\/(w*w\/(w\/((w**(-8)\/w)\/w)))))\/w**14 assuming w is positive.\nAnswer: w**(-22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aqqaiaiq. Give prob of sequence ai.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -9, 42 in descending order.\nAnswer: 42, 0, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 2*z**3 - 2*z - 6. Let g(y) = 1. Let m = -16 + 15. Let n(f) = m*x(f) - 6*g(f). Factor n(j).\nAnswer: -2*j*(j - 1)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -345*t - 11357. Calculate the lowest common multiple of f(-41) and 68.\nAnswer: 2788","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 587 a factor of 9549513?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -4, -5*b - 2*q = q - 31. Let m = 133 - 133. Suppose 2*d + b*r - 17 = 0, 5*d - 5*r - 37 + 12 = m. Solve 12 = -d*k + 3*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 2*h = 2, 3*h + h + 12 = 0. Let s = 0 - u. Differentiate 1 - s*o**4 - 2 + 3 with respect to o.\nAnswer: -8*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11500*f**3*i - 5*f**3 - 9*f + 26 wrt i.\nAnswer: 11500*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5078049?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 3 (b) 4 (c) 0.2 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -149.86 - -149.46. Let w = -122.2 - -122. Let n = 4 - 6. What is the closest to -0.1 in u, n, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10 in 295, -4, 1, 7\/8, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 364 and 78533.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**2 - 5148*x - 189097. Determine t(-37).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -9557, -39891, -90447, -161225, -252225, -363447?\n\"Answer: -10111*u**2 - u + 555","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5)\/2*24\/(-30). Let h = 10 - 5. Put h, 3, u in descending order.\nAnswer: h, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bfybeefw. What is prob of picking 2 b?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -21*u - 8. Let r(k) = 7*k + 2. Let g(t) = -p(t) - 4*r(t). Let j(z) = -10*z. Calculate j(g(i)).\nAnswer: 70*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 9033464?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c - 2*c + 15, 0 = -5*t + 4*c + 8. Suppose 2*b - 5 = -1, -b - 14 = -2*u. Let l = -5 + u. Solve t*i = -3*q, l*i - 17 = q + q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 2*x - 1. Suppose 2 = -2*k - 3*a + 9, 5*a + 80 = 5*k. Calculate the remainder when ((-21)\/(-4))\/(x\/(-4)) is divided by k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 73\/6? (a) 2 (b) -16 (c) -3 (d) 0 (e) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7\/512 or -1?\nAnswer: -7\/512","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 - 6*y**2 + 11 - 3 - 9*y**2.\nAnswer: -15*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**2 + 14*h + 29. Let i be w(15). Suppose t - i = -6*t. Determine a, given that 4\/5 - 6\/5*a + 2\/5*a**t = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 4, l: 1, h: 3}. What is prob of picking 4 x?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2001221001100 (base 3) to base 16\nAnswer: 10cc1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -25*d**2 - d - 2. Let b(g) = -g**2 - g - 1. Let z(y) = b(y) - f(y). Calculate the remainder when (2 + -5 + (0 - -2))*(3 - 76) is divided by z(-1).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxxxyyxxxxxxxxxxx. Give prob of sequence xxxx.\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -786 - -1222. Let s = 436.3 - t. Which is the closest to 0? (a) 0 (b) s (c) 1\/25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 232*d - 802. Give z(3).\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -436576.6 rounded to the nearest ten thousand?\nAnswer: -440000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 2*z**3 + 6*z**2 - 4. Let t be g(-4). Let j = -26 - t. Suppose -5*f + 80 = 3*f. What is the highest common divisor of j and f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:41 PM and 12:39 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/15830 and 42\/305?\nAnswer: 965630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 44796672 a multiple of 144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -29475 - -0.113034745.\nAnswer: -29474.886965255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c - 3*c**2 + 12 + 3*c**3 + 4 - 2*c. Let k(y) = -y**3 + y**2. Let n(r) = j(r) + 4*k(r). Calculate the lowest common multiple of 18 and n(0).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + d - 1 + 2 + d - 2 - 2*d + 3*d + d + (-2 + 3 + 0)*(-4*d + 2*d + 3*d) + d + 6*d - d.\nAnswer: 11*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10002002222 - 1?\nAnswer: -10002010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/17965050 and -61\/15690?\nAnswer: 17965050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 177\/4 < 43?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 - -9. Suppose -111 = -r*v - 39. Suppose 0 = -5*l + 2*l + v. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*o + 2*k + 42, -5*o - 100 = 15*k + 113 + 77 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - ((3 + (-12 - 0) - 5) + -9).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -161, -338, -447, -374, -5?\nAnswer: 774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 4*u + 210 = -u, -4*z + 186 = 5*u. Calculate the greatest common divisor of z and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 141438755 to the nearest integer?\nAnswer: 11893","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 35 + -39. Let l = 1 + -1. Let n = l - -0.1. Which is the nearest to n? (a) 1 (b) o (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 5, -5 in descending order.\nAnswer: 5, 0.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 220*g**3 - 10*g**2 + 66*g + 21. Let m(z) = -44*z**3 + 2*z**2 - 12*z - 4. Determine -11*m(j) - 2*u(j).\nAnswer: 44*j**3 - 2*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/57? (a) -0.1 (b) 0.2 (c) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 7259*u. Let v(g) be the second derivative of -g**3\/3 - 50*g + 60. Calculate c(v(o)).\nAnswer: -14518*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-45)\/(-20) - 18\/(-24)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -98, -3.2, 101?\nAnswer: 101","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 0.37, 4, -2, -5.39, 35, 0, 0.4?\nAnswer: -5.39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*o**3 + 2 - 5*o**3 - o**3 + (4 + 2*o**2 - 4)*(-2*o + 2*o - o) - 4*o**3 + o**3 + o**3 to the form q + n*o + j*o**2 + t*o**3 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -209, -219, -237, -263, -297?\n\"Answer: -4*o**2 + 2*o - 207","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 2*l**5\/3 - 89*l**4\/3 + 63*l**3 + 18371*l**2\/3 + 67309*l\/3 - 28594 = 0.\nAnswer: -17\/2, -6, 1, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -331968.9, 2\/5, -0.06?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 81 - (-186 + 109) - 144?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 96*p**2 - 17*p + 25. Let l(w) = 115*w**2 - 16*w + 21. Determine 5*l(h) - 6*v(h).\nAnswer: -h**2 + 22*h - 45","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 10451511 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 28395 and 319329?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (1 - -3) + 0 + 88?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:12 AM and 11:32 AM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + 1 + (-59 - -23 - 7).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the first derivative of 4*u**3\/3 - 2*u**2 + 11*u + 4. Is z(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**2 - 5*v + 2. Let q be o(5). Suppose -5*p - 154747390 = r + q*r, 61898956 = -2*p + 5*r. Let n = p + 19149478. Round n to the nearest 1000000.\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*v + 3*m, 0 = 2*v + m + 2 - 8. Suppose -v*a = a + n - 5, 0 = -2*a + 3*n - 1. Factor -4 - 2*y**2 - 2*y + 3*y**2 + a + 4.\nAnswer: (y - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2*3\/12*-10. Suppose -4*j = 4*n, 0*n + h*j + 8 = -3*n. Suppose -7 - n = -q. What is the highest common factor of q and 121?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*q - 131 = 625. Suppose 4*l = -3*b - 203 - 102, 5*b + 3*l + 501 = 0. Let s = q - b. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2775494 is divided by 21?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2190978 (base 10) in base 6?\nAnswer: 114543230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes before 12:06 PM?\nAnswer: 11:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 1.71619 days?\nAnswer: 148278816000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -154, -137, -122, -109, -98, -89, -82?\n\"Answer: -b**2 + 20*b - 173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3920 and 26460.\nAnswer: 105840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1799708921?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 659*n + 17132. Calculate j(-26).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.286029 rounded to two dps?\nAnswer: -0.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 less than 17496061077824?\nAnswer: 17496061077784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 15620 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 28216 and 1901053?\nAnswer: 15208424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 32*b**4 + b - 13*b**4 + b**2 + 1 + b**3 - 18*b**4 to the form v*b**2 + r*b**3 + o*b + c*b**4 + z and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ev when two letters picked without replacement from {e: 3, l: 2, q: 3, f: 1, v: 7, z: 1}.\nAnswer: 21\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -720348, 2, -1 in ascending order.\nAnswer: -720348, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 2*o - 7 = -0*o, 0 = 4*f - 2*o + 8 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 4)*(-406 + z - 4*z + 409 - 2*z).\nAnswer: 20*z - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 399 and 357.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.9 + 3.9. Which is the third biggest value? (a) -1\/2 (b) 5\/7 (c) r (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 0 - 226*l**2 - 505*l - 203*l + 222*l**2.\nAnswer: -4*l**2 - 708*l - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 141 = 7*z + 40*z. Let k = 121 + -119. Factor 1\/3*h**z + 5\/3*h - 4\/3*h**k - 2\/3.\nAnswer: (h - 2)*(h - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -299657, -299658, -299659, -299660, -299661?\nAnswer: -299662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 363 divided by 11.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -15 (b) -12 (c) 0.104\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -222*r**5 - 1468*r**2 - 1064*r**2 + 2108*r**2 wrt r.\nAnswer: -13320*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 9997, 10003, 10011, 10021?\n\"Answer: q**2 + 3*q + 9993","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*i - 108*i = -223 - 71. Which is the closest to 10? (a) -2\/3 (b) 2\/9 (c) i (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-3\/4))**(-38)*(g**(-3)\/g)**(1\/23) assuming g is positive.\nAnswer: g**(1303\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, -11, 22, -1, -45.\nAnswer: -45, -11, -1, 14, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1075437 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 u be 4*(-454)\/(-76) - (-8)\/76. Solve -13*w = 28 + u for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 + 3. Let v(f) = -f**2. Let u be v(t). Which is the biggest value? (a) -2 (b) u (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 162 a factor of 38394?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:49 PM and 11:36 PM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34aa4 (base 14) to base 15.\nAnswer: 28053","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(5\/8)*g**(-28) assuming g is positive.\nAnswer: g**(-219\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t + 6. Let f be y(6). Suppose 3*h + 12 = 0, -h - h = 4*q + f. Let v(c) be the first derivative of -2*c**4 - 2*c**3\/3 + c + 2. Give v(q).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15 and 29895?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27, -161, -375, -669, -1043, -1497, -2031?\nAnswer: -2645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes before 9:07 PM?\nAnswer: 5:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10100001100111 - -100?\nAnswer: 10100001101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*w + 5*w - 4*w)*(-2*w**3 - 10*w**2 + 10*w**2) - 3*w**4 + w**4 - 5*w**4 in the form i*w + r*w**2 + h + j*w**3 + o*w**4 and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(448)*-2)*-1 + (4*(-3*sqrt(7)*1 + -3))**2.\nAnswer: 304*sqrt(7) + 1156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-160)\/400*((-63700)\/14)\/13.\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-1)*-1*(-12)\/40. Sort -28, 1, b in decreasing order.\nAnswer: 1, b, -28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 3\/(24\/10)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 32 and 80?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*x - 27*x + 52*x.\nAnswer: 8*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -b46 + 5?\nAnswer: -b41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23817?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1013244314 (base 5) to base 8\nAnswer: 7755043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-22 + (-2732)\/(-124))\/((-18)\/16) and 125\/186?\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 81\/10420 and -49\/288634.\nAnswer: 2886340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the first derivative of -z**6\/27 - 8*z**5\/45 - 5*z**4\/18 - 4*z**3\/27 + 1. Factor m(l).\nAnswer: -2*l**2*(l + 1)**2*(l + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.2052 - 0.0618. Let l = -0.2801 - x. Round l to 3 dps.\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 43, 1, -5, 18, -56, 3 in descending order.\nAnswer: 43, 18, 3, 1, -5, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the second derivative of 0 - 15*z - 11\/6*z**3 + 1\/2*z**2. What is the derivative of f(d) wrt d?\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes after 12:48 AM?\nAnswer: 8:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 76\/28 - 3 - 16737002\/(-7). What is f rounded to the nearest one hundred thousand?\nAnswer: 2400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.11 and 229.3.\nAnswer: -25.223","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c = -2*y - 3, 31*y + 4*y = -638560*c + 638565*c - 110 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y and 1 m when four letters picked without replacement from yytnttmyypty.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 197857494?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -9 and -28038.\nAnswer: 252342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the first derivative of 2*o**4 - 5 + 2*o - 2*o + 3*o**3 + 0*o. What is the third derivative of n(t) wrt t?\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -10072\/15 or -672?\nAnswer: -10072\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**2 - z + 1. Let r(w) = -13*w**2 + 6*w - 6. Let k(p) = r(p) + 6*x(p). Let f(g) be the second derivative of g**4\/4 - 6*g. Give k(f(h)).\nAnswer: -63*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes before 2:57 PM?\nAnswer: 8:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 - 0\/3) + -1. Let a(f) = -f**3 + 4*f + 1. Let z(w) = w + 1. Suppose -4*s = -3*v - 37, 0 = -108*s + 110*s - v - 15. What is b*a(n) + s*z(n)?\nAnswer: n**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 411 and 51512?\nAnswer: 154536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 807322 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -47 - (33\/12 + ((-123)\/(-12) - 8))?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**3 + 6*i**2 - 2*i + 3. Let j = 24 - -12. Suppose o + 2*s = -2, 2*s + j = 4*o - s. Give a(o).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the second derivative of 2*d + 9 + 1\/3*d**3 - 39\/2*d**2. Differentiate s(x) with respect to x.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, p: 6, g: 4}. Give prob of sequence gge.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 180*f**2*i**3 - 312*f**2*i - f*i**3 - 3*f*i - 2*i**3 + i**2 - i wrt i.\nAnswer: 1080*f**2*i - 6*f*i - 12*i + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 - 2 - 32\/(-8). Suppose 2*r = 4*a + 71 + 35, -r - 87 = x*a. Calculate the remainder when (98\/a)\/((-2)\/40) is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -n + 92*f - 42*f - 46*f, 3*n = 4*f - 0*f - f for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/4 - 3\/12. Let b(v) = -v**3 + v. Let o be b(y). Solve o = -w + 6*w + 5 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(3\/7)*h**7 assuming h is positive.\nAnswer: h**(52\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.39, 1\/2, 0.038, -12385?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (2\/4)\/(4*4\/96)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 28755967 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 86*a**5 + 5479*a**4 - 4*a**3 - 1278696*a**2 - 1 wrt a?\nAnswer: 5160*a**2 + 131496*a - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 703 = 89. What is the hundreds digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the third derivative of -z**5\/90 + 5*z**4\/36 + 104*z**3\/9 - 1706*z**2. Factor u(p).\nAnswer: -2*(p - 13)*(p + 8)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 360 = -68*h + 98*h. Suppose -h*x + 2 = -10. Solve -5*m - x = 2*t - 0*m, 2*m + 10 = -4*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-5)*x**(-3\/10))**9*((x\/(x*x**(-8)\/x*x))\/(x\/(x*x**(-2))))\/(x**(1\/4))**(-2\/33) assuming x is positive.\nAnswer: x**(-6878\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-141)\/(-235))\/(1\/(-5))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 16077*-29.724\nAnswer: -477872.748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(-1\/22)*a\/a**(-5\/3))**(-21\/8))**4)**2 assuming a is positive.\nAnswer: a**(-1211\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 853 + -318. Let x = v - 534.9743. Let w = 0.0257203 - x. Round w to 6 decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -30 + 28. Let o = n - -5. Suppose o*p = 2*s - 126, 4*s = -5*p + 280 - 50. What are the prime factors of s?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**3 - 4*i**2 + 6*i + 10. Let g be k(-5). Solve -g*w = -2*w - 3 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 153.84 + -3062.\nAnswer: -2908.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*l**2 + 2*l**2 - 7*l**2)*(-4*l**2 - 3*l**2 + l**2) to n*l + r + b*l**4 + p*l**2 + k*l**3 and give b.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g - 5. Let x(l) = 4 + 5 - 2*l + 6 - 2*l. Let w(d) = 8*n(d) + 3*x(d). List the prime factors of w(-4).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*z + 413*z**2 - 6*z**3 + 39*z - 415*z**2 to the form b*z + p*z**3 + w + u*z**2 and give p.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:07 PM and 7:03 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the first derivative of 3*j**4\/4 + j**3\/3 - j**2\/2 - j + 1. Let m be h(-1). Is -3 greater than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 2 c when three letters picked without replacement from dxvdxbdvdckc.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 325879 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 6*w**4 - 16*w**3 - 10*w**2 + 16*w. Let n(j) = j**4 - 2*j**2. Let r(q) = i(q) - 4*n(q). Factor r(d).\nAnswer: 2*d*(d - 8)*(d - 1)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 4*a**2 - 1224397904*a + 93696889207474576 = 0?\nAnswer: 153049738","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -6*f**2 + 3. Let q be 3 + 8\/(-2) + 2. Let b = 2 + q. Let o(u) = -5*u**2 + 2. Let j(w) = b*o(w) - 2*i(w). Let m(y) = 3*y**2. Determine m(j(t)).\nAnswer: 27*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from uuuuurruuuuuur?\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (157*w + 159*w + 190*w**2 - 316*w)*(17 + 10 - 26 + 101*w).\nAnswer: 19190*w**3 + 190*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -825*s**4 + 53*s**3 + 28*s**3 + 801 + 823*s**4 - 16 wrt s.\nAnswer: -8*s**3 + 243*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 51091?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 5 = -3*u, 2*u - 3 = 7*m - 2*m. Let f be (m\/(-2))\/((-1)\/(-226)). Let q = f + -179. Round q to the nearest 10.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + k = 225. Calculate the common denominator of (7\/8)\/(1\/(-1)) and (k\/24)\/(9\/(-42)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r\/(((r*r**6)\/r)\/r)*r*r*(r\/(r*r\/((r\/r**6)\/r*r)))\/r)**(1\/13)*((r*r\/r**(-4))\/r)\/r*r**(1\/3)*r**(-7)\/r**(2\/3) assuming r is positive.\nAnswer: r**(-154\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rsqrkrzqrqqkkkq. Give prob of picking 2 q, 1 z, and 1 k.\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 2257636623?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1568892 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 16 = -3*f + 5*x, -3*x = 2*f - 20. Factor 0 + 6*t + 4*t**2 - f*t**2 + 0.\nAnswer: -3*t*(t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23 - (-11 - (-12 - -5))\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*j**2 - 120*j + 284256.\nAnswer: -4*(j - 252)*(j + 282)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 1)*(4774*i + 4796*i - 8717*i).\nAnswer: 2559*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 2*g**3 - 14*g**2 + 4*g. Let o be j(3). Is 27 a factor of -371*(20\/o + (-4)\/6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a kilogram in grams?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 374 divide 1268982?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 668\/3553 - 2\/323. Let u = 869\/72 - 93\/8. Which is the biggest value? (a) 0.08 (b) 0.1 (c) u (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, -13, 1\/8, 3\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6707 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-194)\/(-6))\/(13\/78). Suppose -h + 3*h - 2*c + z = 0, -h - 113 = 3*c. Let r = -95 - h. Solve r = -5*s - 9 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2201?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 x when two letters picked without replacement from xexiyiqqoqoeii?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:33 PM and 9:07 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -4*(sqrt(108)*1)\/(-2*sqrt(9)*2 + sqrt(9)).\nAnswer: 3 + 8*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(1\/4))**44\/((s*s**(-3))\/(s\/(s**(-3\/2)\/s))) assuming s is positive.\nAnswer: s**(33\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -104994*a**5 + 192920*a?\nAnswer: -2099880*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 + -1)\/((-4)\/14). Suppose -1 = -2*z + a. What is the second derivative of m + m**z + 0*m - 3*m wrt m?\nAnswer: 12*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*c + 13*c**2 - 6*c**4 - 14*c**2 - c**3 - 3*c to d*c**3 + w*c**2 + n*c + g + u*c**4 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/12*-1)\/(1210\/440).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-27 - -11) + 30)\/(5 - (-2 + 5))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 0, 15*i - 2*y + 33086 = 17*i. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 499879 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, 41786, -6\/13?\nAnswer: 41786","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 + 5. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -105 + 108. Suppose -19*m - 6 = -25*m. Solve -5*g = u + m + 13, 0 = -f*u + 4*g + 15 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*f + 795*r - 799*r = 140, 56 = 3*f - 4*r. Let u(n) = -1 + 0*n**2 - 2*n - 4 + n**2. Give u(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15238 + -350572\/23. Is i greater than -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8866391 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the first derivative of 32\/3*q**3 + 14 - 2\/3*q**6 - 8\/5*q**5 + 8*q + 2*q**4 + 14*q**2. Find g, given that t(g) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 w, and 1 t when three letters picked without replacement from {t: 2, z: 1, w: 1, d: 3}.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70*c**2 - 17*c**2 - 29*c**2 - 14*c**2 - 14*c**2.\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.2 (b) -150 (c) -9 (d) -1 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 r when two letters picked without replacement from nrzrrrrrrrnirrrrrzr?\nAnswer: 14\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(5) + sqrt(80) + sqrt(80) + 3)**2 + sqrt(5))*-2 + (((sqrt(135)*-2)\/sqrt(3))\/(1*sqrt(144) + sqrt(9)))**2.\nAnswer: 110*sqrt(5) + 4144\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 18 = 4*l. Find the third derivative of 4*u**2 - 2*u**2 - 5*u**6 + 3*u**l wrt u.\nAnswer: -240*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 741 = -1713. Let s = 6136\/5 + a. What is c in 1\/5*c + s*c**2 - 2\/5 = 0?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 279 = r - 0*r. Suppose -6*d + 123 = -r. List the prime factors of d.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -32*v - 15. Let n be t(-6). Find k such that -19 - 245*k**2 - n*k + 37*k - 1 = 0.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*n - 0*n. Suppose 4*c = -p - 24, -30 = n*c + 3*p + 2*p. What is the tens digit of 11\/(3\/c*-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - -6. Suppose 0 = -y + 3*r + 130, -1 = 5*r + g. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/2 - (-10 + -2). Suppose 41 - l = -2*n. Let b be (-6)\/(-15)*n\/3. Let g(u) = u**3 + 2*u + 3. What is g(b)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 214*r + 229. Suppose -16 = -8*v + 40. Is l(v) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-1)*g)**(-48) assuming g is positive.\nAnswer: g**(-48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3735768?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -y - 2. Suppose 22 - 2 = y*j. What are the prime factors of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = g + 14. Differentiate -8 + 13 - 4*m - g wrt m.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16085 + -10002. Let h = g + -54820\/9. Find the common denominator of 11\/2 and h.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 226524\/3661 or 61?\nAnswer: 226524\/3661","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.16 and 604133410.\nAnswer: 604133410.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102134963 is divided by 2733?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -9*m + 20*m - 12*m - m**2 - 5*m**2 + 0*m**2. Let t(h) = 5*h. Calculate t(j(z)).\nAnswer: -30*z**2 - 5*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t + 43. Let j be b(-43). Factor 1\/6*z**2 + j*z - 2\/3.\nAnswer: (z - 2)*(z + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 540*w**3 + 2*w**2 + 3*w - 3. Let u be l(1). Let v = -457 + u. What is the highest common divisor of v and 187?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(-42) + (-3250)\/(-273). Solve -2*h + p = h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -46*g - 187. Determine d(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*p**2 + 432*p + 15552 = 0. What is p?\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(2\/9)\/x**(-6)*x**(-12)\/x**(-9\/5) assuming x is positive.\nAnswer: x**(-179\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*-80.53688.\nAnswer: -241.61064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*g**2 - 14*g**2 - 39*g**2)*(0 + 3 + 2) - 2*g**2 - 2*g**2 + 2*g**2.\nAnswer: -187*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 0.5176303us?\nAnswer: 0.0005176303","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 5*x + 32 = -4*b, x - 3*b - 14 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) -3\/245 (c) 253 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(1700) - (sqrt(1700) + (2 + -2*sqrt(1700) - sqrt(1700))**2))*-5 + ((sqrt(1700) + 0)*-5 + sqrt(1700) - sqrt(1700))**2 + 5.\nAnswer: -600*sqrt(17) + 119027","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes before 3:12 PM?\nAnswer: 10:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the first derivative of -j**3 + 1. Let f(x) be the third derivative of x**5\/30 + 1726*x**2. Determine s(f(w)).\nAnswer: -12*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yrprpyyyryrpypyy. What is prob of sequence ppyp?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z = 15*z - 48. Find the third derivative of 2*h**2 + z - 10*h**2 + 106*h**3 + 16*h**2 wrt h.\nAnswer: 636","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 281 in 2, -1.37, -5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - u + 152 = 3*u, -4*u - 4 = 0. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 7, j: 5}. Give prob of sequence oo.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the third derivative of -k**6\/60 - 22*k**5\/15 + k**4\/12 + 219*k**3\/2 - 4*k**2 + 3*k + 62. Find the first derivative of y(a) wrt a.\nAnswer: -6*a**2 - 176*a + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 88 divide 162448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 760*u - 384*u - 374*u.\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v**2 - 45*v - 180 = 0 for v.\nAnswer: -3, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -p**4 + 37*p**2 - 37*p**2 + 4*p - 29*p**2 + 29*p**2 - 2*p**4 + (0*p - 4*p + 5*p)*(3*p**3 - 2*p**3 - 2*p**3).\nAnswer: -4*p**4 + 4*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**2 + 130*c - 3337. Give w(22).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 + -5?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -4*z**2 + 6*z - 2. Suppose 0 = -4*p + 2*c - 36, 2372*c - 2377*c + 40 = 0. Let h(b) = 7*b**2 - 11*b + 3. Determine p*a(q) - 3*h(q).\nAnswer: -q**2 + 3*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 4*b**2 + b. Let u = 9 - 8. Let p = 0 - u. Give s(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 h when three letters picked without replacement from rhheyceb.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 39450 and 257250.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1078399 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the third derivative of z**5\/12 - 3*z**2. Let u(c) = -c - 6. Let j(d) = 1. Let s(y) = 6*j(y) + u(y). Calculate m(s(w)).\nAnswer: 5*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 35939928697 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 - 3. Suppose 0 = 3*j + p*c - 3 - 0, 3*c = -j - 1. Suppose -2*t - 2*t = 0. Is j < t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 5*z + 8 = 0, 0 = -0*z + 4*z. Let v be ((-39)\/12)\/13 - (-101)\/x. What is the greatest common divisor of 275 and v?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 - (-2 - (-1 + (6 - 2)))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**2\/3 - 3239625*b - 19437746\/3.\nAnswer: -(b + 2)*(b + 9718873)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 - 11*t**2 + 9. Let w be s(-11). Is (1677\/w)\/((-5)\/(-15)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - (-5 - -5)) + 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-565)\/10 + 3)\/(1\/(-14)). Suppose 11*z - u = 747. Is 17 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 - 1.8. Let w = -1.2 + i. Let a = -89 - -84. What is the nearest to w in 4, 0.4, a?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -857, -859, -861, -863, -865, -867?\n\"Answer: -2*s - 855","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (128\/16)\/((-2)\/(-2))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1391 is divided by 663.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = z, 76 = l + l - 2*z. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 + 3. Let s be 0\/5*(-2)\/6. Suppose s = -7*i + m*i - l + 14, 5*i + 5*l - 10 = 0. Solve i*n + 5*d + 13 = 0, -6 = -3*n + 4*d + 26 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oipz when four letters picked without replacement from iiiiiiioiiopoz.\nAnswer: 9\/8008","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the second derivative of 7*c**3\/6 - 3*c**2 + 8*c. What is the units digit of v(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6968954?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does -59\/2915760 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2381994 a multiple of 518?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10112 + -110201221021?\nAnswer: -110201210202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -85528259 take away 283?\nAnswer: -85528542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v - 8*v + 15. Suppose 6*y + v = 11. Let l be 196\/10 + (y - 6\/10). Solve 2*k + 2*k - l = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/7? (a) 1 (b) -7 (c) 13 (d) 354 (e) 0.02\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10 + -8. Suppose c**2 - k*c**3 + 6*c - 2*c - 6*c**4 + 5*c**2 - 2*c**5 = 0. Calculate c.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 434106?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a kilometer in meters?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1556860 by 1556860.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 565405 - 5?\nAnswer: 565400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 497 divide 2445973?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -44, -43, -42, -41?\n\"Answer: x - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 57\/11 - 4\/22. Let q = 16 - 12. Which is bigger: s or q?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8079, -9722, -11369, -13020, -14675?\nAnswer: -16334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 22026082 to the nearest 100000.\nAnswer: 22000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.08 and -797.752?\nAnswer: -63.82016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1726 (b) 1.02 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**2 - 11*n - 14. Let b be p(-9). Suppose -b*c + 10155 = -4645. Round c to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -43, -120, -241, -400, -591, -808, -1045, -1296?\n\"Answer: d**3 - 28*d**2 - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 15450341?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-12)\/42*(10 + 2316\/(-240)). What is the closest to -9 in -1\/2, -4, x, -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 32 in 0.5, 796\/29, -2.3?\nAnswer: 796\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**2 + 6*v + 4. Let o be j(6). Let f be (-30)\/(-5)*o\/(-63)*-3. Suppose 4\/7*c**3 + f*c + 0 + 12\/7*c**2 = 0. What is c?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*v + 61 - 29 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -82*h**3 + 234*h**3 - 60*h**3 - 127*h**3.\nAnswer: -35*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(-2\/5))**(-1\/38))**(-8\/5))**(-36) assuming o is positive.\nAnswer: o**(288\/475)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + 10 + (-25 - -10) + 1 + -8?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -30\/11, -47.\nAnswer: -47, -30\/11, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-33)\/(-7) - (-11)\/(-308)*-8. Solve -14*r + 36 = -d*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 23, -1, 0, 14 in increasing order.\nAnswer: -1, 0, 14, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -36 - -39. Suppose 0 = -5*b + 13 - m. What are the prime factors of (66*4\/3)\/b?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -396 divided by 12?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 q, and 1 k when three letters picked without replacement from {t: 1, q: 7, v: 1, k: 1, z: 7}.\nAnswer: 7\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-50)\/(-80))\/((-6)\/(1080\/50)))\/12.\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-2*sqrt(2432) - sqrt(2432)) + -6*sqrt(2432)*-2)\/(sqrt(14)\/(-4*sqrt(343) + sqrt(343))*2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -30597 or -122385\/4?\nAnswer: -122385\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -10*y**2 - 16*y - 14. Let f(z) = -2*z**2 - 3*z - 3. Give 14*f(d) - 3*t(d).\nAnswer: 2*d**2 + 6*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) -0.6 (b) 0.5 (c) -5 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 20150 to the power of 1\/2, to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 98*n + 370*n - 78*n - 3*n**2 to r*n + j + a*n**2 and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.9 + 1.8. Let h = 1.7584 + 2.2416. Let o = -0.1 - -0.3. Which is the smallest value? (a) j (b) h (c) 1\/6 (d) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 + 9 - (8 + -4)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 249538317.\nAnswer: 3, 7, 59, 201403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a meter in micrometers?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 1\/306?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 328 - 67. Let y = 1685 - j. What is the thousands digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of l + 214 + 3*l**2 - 214 + 2*l wrt l.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 14) to base 11.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o - 1. Let m(j) = -2*j + 2. Calculate 7*g(n) + 4*m(n).\nAnswer: -n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**3\/10 + 1181*d**2\/2 + 55952*d\/5 + 41202.\nAnswer: (d + 5)*(d + 14)*(d + 5886)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 36139?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -304.2 - -304.19999970494. What is m rounded to seven decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 865962.6 weeks to milliseconds.\nAnswer: 523734180480000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (8\/40)\/((-2)\/(-100)*2)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4225747 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5\/10 + (-35)\/(-2). Let o be 5\/((-10)\/x)*-9. Let r be o + 2 + (-3)\/1. Calculate the greatest common factor of 10 and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23213.83 litres to millilitres.\nAnswer: 23213830","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - 14 = -8*r + 30, -6*r - 34 = -5*z + 28*r - 38*r for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(-1\/3)*z)\/z)**(1\/6)*z\/((z\/(z\/(z**3*z)*z))\/z)*z*z**(2\/9) assuming z is positive.\nAnswer: z**(1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -99*o + 106*o + 35 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1579*i + 1486*i + 2152*i to the form v*i + l and give v.\nAnswer: 2059","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -35963\/9 + 3991. Let f = -3\/1985 - 43643\/17865. What is the common denominator of f and m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p\/(p\/p**(3\/16)*p))**31\/((p**(-6\/13)*p)\/p**(-9\/11)) assuming p is positive.\nAnswer: p**(10195\/2288)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -12450.7 take away 31469121?\nAnswer: -31481571.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - g + 52 = 4*u, 2*u - 13 = -5*g. 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 928\/(-290)*(-16 - -31)?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 + 91. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ninety-one halves of a kilometer in meters?\nAnswer: 45500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 2*s - 4. Let k be w(4). Let i(t) = k - 1 - 2. Let a(l) = -l - 1. Let q(r) = 221*r + 445. Let p be q(-2). What is p*i(z) + a(z)?\nAnswer: -z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2*3\/(-2))\/1. Let q be (-1)\/i + 250\/15. Suppose 195 = 6*t - 111. What is the highest common divisor of q and t?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 2*b - 3*b = 30, 0 = -3*p + 2*b + 14. Suppose 4*l = p*l. Solve 5*k + z - 11 = l, 0 = -4*k - 6*z + z - 8 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -481*n**4 + 3*n**2*v**2 + 5*n*v**2 - 137*v**2 wrt n.\nAnswer: -5772*n**2 + 6*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**(-20)*z)\/z)**(2\/11)*(z\/(z\/(z*z**(3\/4))))**(1\/3) assuming z is positive.\nAnswer: z**(581\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c. Let a = -28 - -16. Let x be (-1 + -5)*4\/a. Let v(d) = x*d + d - d. Give v(g(t)).\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 - 1a73?\nAnswer: -1a78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 44\/14 + 2\/(-14). Suppose 7*q - m = 2*q + 60, -3*m = q - 12. Let z = q - s. List the prime factors of z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 <= -7\/114?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.60096396 to four dps.\nAnswer: 0.601","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 9839 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/(-12) - (-13)\/3. Let m be 5 + -5 - s\/(-18). Let a be (-12)\/9 - 2\/(-6). Is a at least m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 52, 49, 28, 1, -20, -23, 4, 73?\n\"Answer: 2*v**3 - 21*v**2 + 46*v + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 2*j**3 + 19*j**2 - 280*j - 9. What is s(8)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*z - 4*f, -4*z + f = -2*f - 2. Let m(p) = -8*p**2 + 3*p - 2. Let j be m(4). Is z*j\/(-4)*-2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -5*k + 3. Let s be o(2). Suppose -j + 6*j - 50 = 0. Let u = j + s. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -q**4 + 2*q**3 + 36*q**2 + 88*q + 64 = 0.\nAnswer: -2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 140 is divided by 91?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes after 1:36 AM?\nAnswer: 5:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -806*r - 35*r + 27*r to the form g + h*r and give h.\nAnswer: -814","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 25 + -27. Is 2288\/40*(-10)\/s a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.128 - 16932.\nAnswer: -16931.872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 2*v**2 + 1. Let u(p) = 5*p**2 + 3. Calculate -7*q(j) + 3*u(j).\nAnswer: j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**2)**3*c**8*((c*c**(3\/5)*c*c)\/c)\/c assuming c is positive.\nAnswer: c**(78\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - -4 - (-11 - (7 + (13 - 21)))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 55963660 and 40.\nAnswer: 111927320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 33\/470 and -57\/2.\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -123, -126, -129, -132, -135, -138?\n\"Answer: -3*x - 120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 44*q**2 - 71*q - 14. Let d(s) = -15*s**2 + 26*s + 5. Let b(g) = 4*c(g) + 11*d(g). Let p(n) = -n**2 - n - 1. What is b(a) + p(a)?\nAnswer: 10*a**2 + a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 314157?\nAnswer: 3, 23, 29, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -12987 divided by 999?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 6501*j + 494052. What is f(-76)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-35 - (2 + -1)) + 2. Let w = g + 7. Does 16 divide w\/(-1)*8\/12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 127 - 633\/5. Let o = -1.037 - -0.037. Is d at most as big as o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11594 and 68.\nAnswer: 23188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 3*k - 102 = 0. Let d = -4910 - -5520. What is the remainder when d is divided by k?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12.78 - 0.22. Let s = m - -9. Let h = -1\/20 - 7\/20. Sort s, 0.1, h in decreasing order.\nAnswer: 0.1, h, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3073728773 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (100\/(-275)*(-11)\/2)\/(-12).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x and 1 q when four letters picked without replacement from eeexq.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 70 + -117 + (-4 - -31) + -6.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/(v**(-14)\/v)*v**10)**(-16) assuming v is positive.\nAnswer: v**(-432)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -414 and 388.83533?\nAnswer: 802.83533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**3 - 11*o**2 + 189*o - 1210. What is s(7)?\nAnswer: -769","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r + 1. Let a be (-3 + 2)*(6 + -2). What are the prime factors of t(a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/179830 and 163\/1050.\nAnswer: 2697450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4486350?\nAnswer: 2, 3, 5, 11, 2719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 37.\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -908 + 907. Which is bigger: -64\/5 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.034642 - -32.\nAnswer: 31.965358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.518 and -0.3.\nAnswer: 0.4554","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f**5 - 60*f**4 + 276*f**3 - 288*f**2 = 0 for f.\nAnswer: -24, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 75\/13 or 0.3?\nAnswer: 75\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2078785?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 43\/3, -0.2, 2\/3 in decreasing order.\nAnswer: 43\/3, 2\/3, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/12*(-290)\/(-1566)*(-24)\/(-10).\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**15\/((c*c**21)\/c))\/(c**(-11\/2)*c\/(c\/c**(14\/3))*c) assuming c is positive.\nAnswer: c**(-37\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1432611?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -351869412 by 398.\nAnswer: -884094","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12 - 16) + 13 + -1.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**3 - 5*d**2 - 8*d + 7. Let t be j(6). Let u = 25\/164 + 4\/41. What is the nearest to 1 in u, t, 4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 + (-1 - 3\/(-1)). Let h = r + -8. Let v(l) = l**2 - 8*l + 4. Let m be v(7). What is the nearest to 0.2 in m, -0.3, h?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 4*l - 7. Suppose 3*b = -a + 43, 0 = -l*b - a - a + 73. What is the first derivative of b - n**2 + n**2 - 9 - 10*n**4 wrt n?\nAnswer: -40*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25292 (base 10) in base 14?\nAnswer: 9308","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 759, 449, 139, -171, -481, -791?\nAnswer: -1101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of s**5 + 46496*s**3 + 182676*s wrt s.\nAnswer: 20*s**3 + 278976*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6403 or -6402?\nAnswer: -6402","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 - -7. Let q(s) be the third derivative of -1\/24*s**4 + 0*s - 7\/6*s**3 + s**2 + f. Determine q(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8415441678 to the power of 1\/8, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 32030403 to the power of 1\/2, to the nearest integer?\nAnswer: 5660","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -350*z - 294*z + 317*z - 330*z in the form t + p*z and give p.\nAnswer: -657","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101101110 (base 2) to base 14.\nAnswer: -1c2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -10531 times 2.4?\nAnswer: -25274.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 3*g = 17, g + 9 + 0 = 2*t. Suppose -h = -2*a + 6*a - 23, t*a - 3*h - 33 = 0. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -82 + (38 - -6) + -35 + 12.\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -919 + 452. Let r = p - -471. Let h = -0.4 - -0.5. Put -1\/5, h, 1, r in decreasing order.\nAnswer: r, 1, h, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 105 - 104.9. Is -1\/30 smaller than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -7*k + 1. Let c(r) = 4*r - 1. Let y be 230\/30 + 1\/3. Let p = -14 + y. Let x(m) = p*q(m) - 10*c(m). Calculate x(3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11 + 16. Let g(d) = -d**2 + 6*d + 1. What are the prime factors of g(l)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*c + 42 = 107 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -330822211*f**4 + 446473352*f wrt f.\nAnswer: -3969866532*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 439*m**4 - 207*m**2 - 8*m.\nAnswer: 10536*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 237924110 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31220424 (base 5) to base 14.\nAnswer: -69c50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, o: 1, i: 1, s: 1, c: 1}. Give prob of picking 1 c and 1 i.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 69*s - 1901. Calculate n(32).\nAnswer: 307","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.006 and -17558.\nAnswer: -17558.006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -7*o**3 + 6*o**2 + 2*o. Let i(z) = 8*z**3 - 7*z**2 - 2*z. Suppose 4*v = h - 20, v + 0*h = -3*h - 18. What is v*m(j) - 5*i(j)?\nAnswer: 2*j**3 - j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -0*b - 6. Let o(c) = c**2 - c - 2. Let l be o(b). Suppose -l*s = -4*z - 16, 5*s + 5*z - z = 38. Solve -s*q = -2*q - 4 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**2 - 6*v - 3. Let i be f(-7). Let z be i + (-2 - (-2 + -2)). Suppose z = p + p - 4*l, -4*p - 5*l = -180. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11901418 or -83309922\/7?\nAnswer: -11901418","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 8 = -z, z - 13 + 7 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -21913*o**2*s**3 - 49034*s**3 wrt o.\nAnswer: -43826*o*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2018234 a multiple of 214?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(288) + 1 + 4 - sqrt(288))*4)**2.\nAnswer: 400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - 2*v + k - 10, 0 = 5*v - 5*k - 40. Calculate the smallest common multiple of 1 and -12*(-2 - (-12)\/v).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l - 4, -i + 2*i - 2*l - 9 = 0. Put -2, i, 26, 2 in decreasing order.\nAnswer: 26, 2, i, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*y - 61 + 0*y**2 - 54*y + 4*y + 15 - 2*y**2 = 0. What is y?\nAnswer: -23, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 138425863 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111 + 11000?\nAnswer: 1001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4464399?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*w, -3*w = -5*f + 6598 + 13073. What is the greatest common divisor of f and 738?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j - 37. Let d be c(41). Solve l - 1 = -4*h, -2*l - 2*l - 2*h + d = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -2*j + 12. Suppose 0 = -j*n + 2*n. Suppose n = -0*g + g + u - 9, 2*g - 5*u - 18 = 0. Is 8 equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 48*v + 4*v**2 - 2*v - 7818 + 7809. Let w be u(-12). Which is greater: w or 5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -38 + 71. Suppose -86 = -4*i - 2*f - 3*f, 55 = 3*i - f. Let q = a - i. Is 14 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3533 divided by 148\nAnswer: -3533\/148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -5*n + 2*s - 55, -2*n = -3*s + 19. Let z = n + 22. Solve -3*v = v - z for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 465659 is divided by 780.\nAnswer: 779","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4087 is divided by (0 - (-42)\/(-5))\/(267\/(-890)).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(88)*-1)\/((sqrt(112)\/sqrt(2))\/sqrt(7)).\nAnswer: 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -106 + 134. Is 5\/(15\/3082) - x\/84 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 0*u - 24 = 2*j, 0 = u - 4*j + 6. Let q be -2*(-1 - 27\/u). What is the units digit of ((-11)\/2)\/(q\/28)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1777291?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-321 + 74 + 161)*(-1 + 2 - 2)*(51 + 4*r - 51).\nAnswer: 344*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 6, u: 5, p: 4}. What is prob of picking 1 p and 1 u?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -6436, -7846, -10196, -13486?\n\"Answer: -470*a**2 - 5966","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -48\/19 bigger than -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-3 - (-1732 - 4)) + (-2)\/2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**3 + y**2 + 3. Calculate s(2).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 + (-10 + 1 - -15) - (4 - (-3 - -8))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*m**2*u**3*w**2 + 2*m**2*u**2*w + 3*m**2*u*w - u**3*w**3 + u*w**3 wrt u?\nAnswer: 30*m**2*w**2 - 6*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 99.21974 millennia to centuries.\nAnswer: 992.1974","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -811758, -811723, -811688, -811653, -811618, -811583?\nAnswer: -811548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -281\/196 + 2921\/1764. Let r = 0.2 + -0.1. What is the nearest to r in a, 1\/8, 1\/4?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*x - 2*x + 3*x)*(2 - 4 + 3 + (-1 + 2 + 1)*(-1 + 4 - 2) + 5 - 2 - 4 + 0 - 5 + 3 - 1 - 1 + 3).\nAnswer: 15*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 p, and 2 d when four letters picked without replacement from ddmmmdddpdpddpmppfmd.\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3341 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -2*y. Let x be d(0). Suppose -o + 603 = -5*r - x*r, 0 = -3*r - 5*o - 373. Let t = -75 - r. Does 9 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1942638911 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3 + -2)*1*-5. Let r be (-2)\/n - 26\/(-10). Let q(m) = -m**3 + m**2 + 3*m + 2. Determine q(r).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3166225 is divided by 2323?\nAnswer: 2299","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (34 - 39) + 19 + -3 + 0\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express ((x - 2 + 2)*(2 + 0 - 3) + 402*x - 263*x + 350*x)*(-5*x - 1 + x + 0) in the form c*x**2 + m + i*x and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vfev when four letters picked without replacement from {y: 2, f: 2, e: 3, k: 2, v: 4}?\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**12*s)\/(s*(s\/s**(-20)*s*s)\/s)*((s**(-19)*s)\/s)\/(s**(1\/3)\/s) assuming s is positive.\nAnswer: s**(-85\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -43752*l**5 - 6885*l**2 wrt l.\nAnswer: -2625120*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 15, -16, -67, -138, -229, -340?\n\"Answer: -10*l**2 - l + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**3 + 3*d**2 + 4*d + 4. Let w(i) = -i**3 - i**2 + 10*i + 9. Let r = 56 + -92. Let z be 174\/290 - (-5)\/(50\/r). Let q be w(z). Give x(q).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 1602928044?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 5, c: 3, m: 3}. What is prob of sequence maaa?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.949 + 131.249. Round p to the nearest ten.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 63*c**3 + 16687*c**2 - 16687*c**2 + c + 4 in the form a*c**3 + j*c**2 + i*c + p and give p.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 785 = 7*f. Let x be (-1)\/4 + f\/(-4). Let m = 138 - x. Calculate the remainder when m is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20 + -6 + (1 - (-5 - 16))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -7*j + 14. Let g(q) = -11*q + 21. Determine -5*g(a) + 8*p(a).\nAnswer: -a + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -487787*d**4*o*y - 505*d**4*y - 43*d**2*o*y + 1311106*o - y wrt d.\nAnswer: -11706888*d*o*y - 12120*d*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from hdhhhhhtdth.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -131, -279, -441, -623, -831, -1071, -1349, -1671?\nAnswer: -2043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gggx when four letters picked without replacement from ggfgxiixxgfuigxugu.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 6*o + 16 = 3*d, 4*d = -o + 10. Suppose -3*k + 60 = d*k. Suppose 2*g + g - k = 0. Let h(s) = -s**3 + 4*s**2 - 3*s - 2. What is h(g)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 - -214?\nAnswer: 219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 3*n + 3. Let f be o(3). Let r = -8 + f. Solve 3 = 5*j - r*q, 2*j + q = 4*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6049?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2289216 by -2.\nAnswer: 1144608","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -2*b + 62 - 22, -3*g + 28 = b. Let p be -6*(-12)\/(-27)*(-84)\/b. Which is greater: 53\/4 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9 - 115 - 3 + (-1 + 0 - 1)*(-5 + 2 - 1))*(-2*c + 3*c + c) to the form t*c + s and give t.\nAnswer: -202","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 117293728?\nAnswer: 2, 61, 60089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -122 - 1163150?\nAnswer: -1163272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 29370 and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*h**4 - 4*h**4 + h**4 + (-18*h + 6*h + 11*h)*(-4*h**3 + 3*h**3 + 0*h**3).\nAnswer: -8*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -3322 (base 7) in base 15?\nAnswer: -547","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -2*r**2 + r - 1. Let x be u(2). Let k = -2 - x. Solve 2*l = 13 - k for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**2 + i. Let u be 3 - (-8)\/(-12)*-3. Let w = u - 3. Let h(y) = -16 + 0*y**w + 13 + 4 + 2*y**2. Give 2*h(n) + 3*m(n).\nAnswer: n**2 + 3*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 111271?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c = 2*j + 2*c, c = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f**4 - 4*f**4 + 6*f**4)*(3 + 3 - 4)*(1 + 3 - 5).\nAnswer: -8*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 48 and 903408?\nAnswer: 903408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 867292129 to the power of 1\/5, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 + 19. Suppose 7 = -2*h + k. Let v(x) = x**3 - 9*x**2 - 10*x + 3. Is v(h) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -2*o, -3*d - 4*o + 3 = -2*d. What is the highest common factor of 69 and d?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 + -111110000101011101110000001?\nAnswer: -111110000101011101101111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 219049*g - 219048*g + 9 = -r, -4*g = -4*r - 12 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 9258 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssfsfffsss. What is prob of picking 2 f?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12 + 15. Factor 43*b + 3*b**3 - 24*b**2 - 3*b**3 - 54 - 106*b - h*b**3.\nAnswer: -3*(b + 2)*(b + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**2 + 4*j + 4. Let l be z(4). Let k be -4 + (-9 + 8 - -5). Suppose k = 4*p - 0*y - l*y - 732, -4*y + 584 = 3*p. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 863*x**3 + 9*x**2 + 16*x wrt x.\nAnswer: 5178","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -272, -1124, -3126, -6854, -12884, -21792?\n\"Answer: -96*r**3 + r**2 - 183*r + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -59.78 + 59.1794. Let q = u - -0.58. Round q to 3 decimal places.\nAnswer: -0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -220110 (base 3) to base 12\nAnswer: -470","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*(10\/6 - 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - -5. Factor 8 + 3*k + z*k**4 - 2*k**3 - k**5 - 9 + k**4 + 0*k**4 - 2*k**2.\nAnswer: -(k - 1)**4*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 148 at most 147?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 499250305 to the power of 1\/7, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3029 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 3*v + 2*v - 2*v. Let g be y(1). Let h(j) = -j**3 + 6*j**2 - 4*j - 5. Let a be h(5). Sort g, -3, a in decreasing order.\nAnswer: g, a, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*h**2*q**3 + 1551*h**2 - 2*h*q**3 + 970*h*q wrt h.\nAnswer: -12*q**3 + 3102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 2 - 8)*(-7*g - 25*g - 5*g).\nAnswer: 111*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in -3, -0.1, 0.537, 0.2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 27 = 4*p. Suppose 3*o - 5*r - 12 = 7*o, 26 = 3*o - 5*r. Suppose 0 = -6*s + o*s + 64. Calculate the remainder when s is divided by p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17941 and 704.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -3121, -3566, -4255, -5182, -6341, -7726, -9331?\n\"Answer: o**3 - 128*o**2 - 68*o - 2926","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1206.778 rounded to the nearest 10?\nAnswer: 1210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 67338 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15563649?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.065 plus -7?\nAnswer: -6.935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 + -6324543?\nAnswer: -6324542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -3*a + 47. Let g be m(15). Suppose -5*f = g*f - 154. Let u be ((2\/3)\/(-2))\/(42\/(-2772)). What is the highest common factor of u and f?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-27)\/(-216))\/(9\/24)*(-300)\/(-10).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 133730776?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*c - 1 + 9*c + 1.\nAnswer: 36*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(252) + -4 + -5.\nAnswer: -9 + 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -45523205, -45523208, -45523211, -45523214, -45523217?\n\"Answer: -3*g - 45523202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**2 - 27*c - 32. Give o(16).\nAnswer: -208","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = t + 1, -t + 5*y = 2*t - 5. Suppose t*u + 2*b - 8 = 2*u, -4*u = 4*b - 8. Let s(f) = 7*f**3 + f. Determine s(u).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/(-1)*(-10)\/3. Suppose -u + 3 = -v. Suppose -x - u = -2*x. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10336 = 4*n + 4*g, 2*g + 2575 = 137*n - 136*n. Calculate the greatest common factor of n and 712.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 86 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2736 - 2735. Let n = -5 - -8. Let v = -46 + 323\/7. Which is the second biggest value? (a) n (b) v (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/(g**(-2\/35)*g))\/g)\/g**(-34))**(-23) assuming g is positive.\nAnswer: g**(-26611\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8915?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - 4) + 4 - -4\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -978, -1913, -2802, -3621, -4346?\n\"Answer: 4*k**3 - k**2 - 960*k - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 1 + 0)*(18 + 12 + 16)*(-1 - 3 + 2 + (-3 + 3 + 2)*(1 - 4 + 2))*(0*d + d - 2*d) as n*d + c and give n.\nAnswer: -552","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/11, -16.7, -27, 8?\nAnswer: -16.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(2\/11)*a)\/a*a*a\/a**(7\/4) assuming a is positive.\nAnswer: a**(63\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*2*sqrt(343) + (-5*(sqrt(343) + 0))**2 + sqrt(343) + -6*(-1*-2*sqrt(343))**2.\nAnswer: 91*sqrt(7) + 343","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 25 + 2. Is h a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33 = 11*c + 11 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (13*285\/(-195) - -20) + (-86)\/(1\/1)\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59*j**2 + 74*j**2 + 45*j**2 - 16*j**2 + 41*j**2.\nAnswer: 203*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -169\/1624500 and 83\/3344.\nAnswer: 71478000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c**3 + 925225 - 925225.\nAnswer: -c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -10*o + 42 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -4*h + 2*x, -12393*h + 12396*h = -2*x - 24 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, x: 9, h: 1, z: 4}. What is prob of picking 1 z, 1 h, and 1 c?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 84 - 73. Let o(h) = -5*h**3 + 30*h**2 - 11*h - 20. Let w(r) = -r**3 + 6*r**2 - 2*r - 4. Let m(a) = c*w(a) - 2*o(a). Calculate m(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -39.82398 rounded to the nearest integer?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-72)\/48 + (-334)\/(-20) - (80 - 62)?\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -454*s = 273*s - 44*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 20*v**2 - 33*v - 14. Let z(g) = 7*g**2 - 11*g - 5. What is 6*l(s) - 17*z(s)?\nAnswer: s**2 - 11*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -1 - (-1 + 6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 1526698.5 months?\nAnswer: 127.224875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 313 - 629 + w**2 + 316.\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2198, -4398, -6600, -8804, -11010, -13218?\n\"Answer: -s**2 - 2197*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from {p: 5, x: 2}?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -17638 take away -5860?\nAnswer: -11778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**2 + 10*b - 7. Let a be x(9). Suppose a*w = 13 + 3. Suppose 12*q = w*q + 748. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -3*l - 29. Let v(d) be the second derivative of -d**3\/6 - 5*d**2 - 980*d. Calculate 4*p(b) - 11*v(b).\nAnswer: -b - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -62, 5, -2, -3\/11, -38, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5225*c - 4 + 7 - 2 + 5164*c to the form h*c + g and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -765, -758, -747, -732, -713, -690?\n\"Answer: 2*q**2 + q - 768","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 1162 = -w, -3899 + 964 = -5*o + 5*w. Suppose -4*d = d + 1010. Let f = d + o. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -19603.5 + 17972. What is k rounded to the nearest 10?\nAnswer: -1630","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 - 3. Is 1\/(-2)*w*42 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -17\/6395 + -144289\/89530. What is the common denominator of 143\/126 and k?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -67214*h**3 - 3*h**2. Is u(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*l - 11 - 6*l - 4*l + 72 + 3*l**2 + 22*l in the form s*l**2 + c + d*l and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 2*j + 5*m + 1 = 0, -2*m - 34 = 4*j. Let p = j - -9. Let g = -449 + 452. Solve 3*c - p*d = -5, -4*c - c = -g*d + 7 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/(180\/312)*7\/(-126)*-3\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 224 - 27. Let l(n) = 180*n + 3. Let w be l(-4). Let h = o + w. What is h rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4088, 4, -1 in increasing order.\nAnswer: -1, 4, 4088","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 51663199?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10151, 20339, 30529, 40721?\nAnswer: 50915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 7*c**3 - 3*c - 2. Calculate r(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1473415.8 + 3?\nAnswer: -1473412.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a kilometer in meters?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (5*(1 - 2))\/(-3 - -2). Let s(w) = w**2 - 3*w - 5. Determine s(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33 is divided by 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (93 + -10 - 32) + (-1 - 6)\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -100 - -121. Calculate the highest common divisor of b and 49.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/32*-10 - 1. Which is the nearest to -2? (a) q (b) -3 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2 and -3494.32.\nAnswer: -3492.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**2 - 3*t + 3. Suppose 0*g - 2*g = -6. Let y be k(g). Suppose -y = -n + 2. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -25179 - -25174. What is the nearest to -3 in h, -19, 2\/5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2627 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 286170?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 66 divided by 1.\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 63 = -6*q. Let a = q + -12. What is the greatest common factor of a and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 113192 + 140505 = -2*y, -5*h - 2*y = -253693. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**3 + 9*i**2 - i + 5. Let o be x(9). Is (6\/(-9))\/(o\/66) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/12 and 20\/52971?\nAnswer: 211884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/13038 and -57\/621478.\nAnswer: 1864434","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iw when two letters picked without replacement from {g: 4, i: 2, w: 4, o: 4}?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**3 - 15*w**2 - 216*w + 8. Let d be q(-9). Solve 4*h + 5*f + 1 = 0, -4*h - d = -8*h + 4*f for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 5*r = 15, -a - 138 = 3*r - 130 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 5 + 9*b - 2 - 2. Let k(a) = a**3 + 23*a**2 + 21*a - 21. Let f be k(-22). Determine x(f).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 186*z - 387*z = -170*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add 1373 and -204278741.\nAnswer: -204277368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9000 + -7077. What is the highest common factor of 12 and u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = -2*c + v - 12, 3*c + 18 = v. Let l(w) = -w**3 - 5*w**2 + 7*w + 9. Determine l(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3223312212 - 1?\nAnswer: -3223312213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 14*u**2. Let v(y) = 1360588 - 1360588 + 13*y. What is l(v(s))?\nAnswer: 2366*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**2 - 11*f - 4. Let w be a(-11). Let u = 28 + w. Is 8 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 7*h + 8. What is the hundreds digit of i(16)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1918 + 1918.1. Which is the closest to 0.4? (a) q (b) -0.5 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1\/23, 0.35, 2\/3, -2\/19, -3\/2, -2, 0.088?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 268356 and 69122?\nAnswer: 4562052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*2*sqrt(1053) - (sqrt(1053) - (sqrt(1053) + -2 + -2)))**2.\nAnswer: 432*sqrt(13) + 37924","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -4*d**5 - 34*d**4 + 44460*d**3 - 22202*d**2 - 22220*d = 0.\nAnswer: -110, -1\/2, 0, 1, 101","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2\/5)\/p)**(20\/7) assuming p is positive.\nAnswer: p**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49999 is divided by 694?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 9 - -2089583?\nAnswer: 2089591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 297*q + 336*q + 203*q + 63 - 265*q wrt q?\nAnswer: 571","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-8)\/184)\/(-1))\/((-4)\/8)?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 712 and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k + 3*d + 18504, 2*k - 8*d = -4*d + 9262. List the prime factors of k.\nAnswer: 3, 23, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2ee - -36d7?\nAnswer: 39d6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 100*y**4 - 2*y**2 - 24*y - 5 wrt y?\nAnswer: 1200*y**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8847\/64 + -553\/4. Which is smaller: m or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 579.\nAnswer: 3, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -5*s - 4, 2*p + 4 = -4*s - 0*s. Solve 12 = -3*l + 3*t - t, p*l + 2*t = 2 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3250 - 3250 + 1397*i**2.\nAnswer: 1397*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v\/v**(-1)*v)*v\/(v\/(v\/((v\/v**(-7)*v)\/v*v)))*(v**(-2\/5)\/v)**(-2\/9))\/(((v\/(v\/v**1))\/v)**36*v\/v**(-2\/9)*v*v**(1\/10)) assuming v is positive.\nAnswer: v**(-1081\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000834 to four decimal places.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4794.\nAnswer: 2, 3, 17, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (42*g + 117*g - 49*g)*(2 + 2 - 6 - 3 - 2 + 4 + (1 + 0 + 1)*(-2 + 5 - 1) - 1 - 1 + 1 + 1 + 0 - 3).\nAnswer: -220*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 956 - 926. Let u = 28 - q. Sort u, 5, -129, -4 in increasing order.\nAnswer: -129, -4, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 + 64320\nAnswer: 64319.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*s + 2 = -2*a, 1979*s = 1983*s + 3 - 7 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 152362 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vpfvdvbdnpfvpnnfdv. Give prob of sequence dv.\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 2*b + 23 = 2*p, -4*p = 3*b - 8. Suppose 0 = 7*w - p*w - 240. Is 23 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by 1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3105 and 42228?\nAnswer: 621","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (0 + 585)\/((-6)\/(-2) - 2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 119872512731 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 2*b - 11. Let d(q) = 7 - 3*q**b - 14 - 2*q + 14*q**2 + q**3. Is d(-8) a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 506 - 286 = 0. Let g = -34795\/12 + 2902. What is the common denominator of 1\/3 - (-5)\/a*87 and g?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that m**4 - 454*m**3 + 33852*m**2 - 825512*m + 5313920 = 0.\nAnswer: 10, 38, 368","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -17 (b) 1\/9 (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 15 - 276*r**2 + 283*r**2 + 0*r - r. Let p be k(-5). What is the second derivative of -f - p*f**4 + 195*f**4 + 12*f**5 + 32*f wrt f?\nAnswer: 240*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4834682 divided by -2?\nAnswer: -2417341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 d, and 1 x when three letters picked without replacement from {d: 1, i: 2, x: 1, h: 1, e: 1, m: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 888018.6mm in centimeters?\nAnswer: 88801.86","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1890 = -8*c - 6*c. Suppose 9*k - 1260 = c. What is the highest common divisor of 5 and k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.02311l to millilitres.\nAnswer: 23.11","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10*g*y**2 - 585*g*y + 2*y**2 - 15*y - 141 with respect to g.\nAnswer: -10*y**2 - 585*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**2 - 2*r + 32. What is the tens digit of c(40)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5046937438 + -1.9272?\nAnswer: -5046937439.9272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33 is divided by 12\/((-8)\/6 + 2)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s = -0*h + h + 3*h, -3*h + 2*h = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*h**2 + h**4 + 0*h**2 + (0 - 7 + 1)*(110 - 16*h - 110)*(h**2 + 5*h**3 - h**2).\nAnswer: 481*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 139 + -36. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and 60408.\nAnswer: -6040.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the third derivative of t**7\/1995 - t**6\/30 + 397*t**5\/570 - 3*t**4 + 108*t**3\/19 + 2*t**2 + 48. Solve q(k) = 0.\nAnswer: 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -54 + 56. Let u(n) = -5*n**2 + 5*n**z - 3*n**2 + 2*n**2. Give u(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/6, 0.1, -2, -5\/6, 4\/11 in descending order.\nAnswer: 5\/6, 4\/11, 0.1, -5\/6, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, g: 4, h: 1, o: 1, c: 2}. Give prob of sequence sg.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - ((5 - 4) + -5 + 1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -131, -170, -235, -326, -443?\nAnswer: -586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -d - 53050, 7*w - d + 53054 = 10*w. Is ((-2)\/4)\/(4 + (-70738)\/w) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 762725.\nAnswer: 3\/762725","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1536) - sqrt(1536)*-3)\/(2*sqrt(300)).\nAnswer: 16*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*v = 69*v + 4463 - 233 for v.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**3 - 9*u**2 + 2*u - 21. Let y be l(9). Let i be 3 - (-4)\/(-12)*y. Suppose i*m - 22 + 96 = 3*h, h = 3*m + 28. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*w**6 - 580*w**5 + 150*w**4 + 521*w**2 + 20202*w?\nAnswer: 720*w**3 - 34800*w**2 + 3600*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5509 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: What is the common denominator of 6\/(-4)*(-5 + 411\/85) and 4\/3?\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30039491 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2.5, -14, -0.5 in ascending order.\nAnswer: -14, -3, -0.5, 2.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -5, 9, 5 in increasing order.\nAnswer: -5, 0, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2475 to the power of 1\/2, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 5*m**5\/2 - 4015*m**4 - 394575*m**3\/2 - 1968220*m**2 - 6900950*m - 7443000 = 0.\nAnswer: -36, -5, -2, 1654","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 1 + 3 - h**3 - 18*h**2 + 22*h**2. Suppose p + 5 = -0*p, 36 = 4*s - 4*p. Let u be d(s). Calculate the greatest common factor of 28 and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 568461.\nAnswer: 3, 19, 9973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does -18 = -16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 219, 3, 404, -1 in increasing order.\nAnswer: -1, 3, 5, 219, 404","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, -10\/3, -2, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is ec93 + c?\nAnswer: eca0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 30*b**2 + 145 - 145 + 37*b**2. Let y(d) = -3*d. What is m(y(r))?\nAnswer: 603*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18213572 is divided by 59913.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express ((4 + 2*b + 1 - 2)*(-9 + 10 + 13) + 0*b - 3*b + 4*b)*(12*b - 8*b - 2*b) as w*b + k + n*b**2 and give n.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/(-92))\/(1 - (-1764)\/(-1771))\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the first derivative of 0*r - 8\/3*r**3 - 5\/4*r**4 - 1\/5*r**5 - 2*r**2 - 32. Factor m(f).\nAnswer: -f*(f + 1)*(f + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -456*n + 382*n + 569060. What is the hundreds digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*b = 42*b - 931. Solve b = -4*d + 29 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 71532?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fpmfmzxxzflmpxzxxfxf. Give prob of picking 2 x.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes before 10:33 AM?\nAnswer: 12:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 670770?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-3)*(-83 - -59))\/(2\/5)\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 218*p - 33. Suppose -4*m + 2 = -f, -f + 13 = 5*m - 3. Suppose -18 = -v - w, -f = 4*w - w. Is s(v) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 4675 = 3*z - 3*v, 2*z - 5*v - 2355 = 0. Suppose -3*p - 3 = 0, 439 = -4*x - 2*p + z. Let s be x\/(-187) + (-4)\/34. Is -2 greater than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -61, -64, -69, -76?\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96 = -12*l + 15*o, -3*l + o - 13 = 6*l - 6*l - 0*o for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5926 (base 15) to base 7.\nAnswer: -106131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbjrdezzd. Give prob of picking 1 j and 1 z.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 - 2*i**2 + 3*i**2 + 4*i**2 + 2*i**2 + (-3 + 3 - i)*(-1 + 1 - i).\nAnswer: 8*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 206080193 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 5348646503 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange x**2 + 5*x + 1514*x**3 + 1 - 1513*x**3 - 3 - 5*x**2 to j*x**2 + r*x**3 + k + z*x and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes after 6:11 AM?\nAnswer: 1:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:55 AM and 10:38 AM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 198392 = 142*j - 130447 - 18919. Calculate the greatest common factor of 403 and j.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9.195 - 8.895. Which is the nearest to s? (a) 11 (b) -15 (c) 1 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 3*o + 40 = 0. Suppose -3*j - 2*j = -o. Calculate the greatest common divisor of j and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - 1. Let h(c) be the first derivative of c**4\/4 + 4*c**3\/3 + c**2 + 8*c - 10. Let j be h(-4). Sort 3, p, j in decreasing order.\nAnswer: 3, j, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -45*u**6*v + 7*u**4*v**3 + u**2*v**3 - 149*u**2*v wrt u.\nAnswer: -5400*u**3*v + 168*u*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2794789\/60 - 46582. What is the common denominator of j and -61\/273?\nAnswer: 5460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -708502*n**2*r*v**2 - n**2*r*v - 541*n*r*v**2 + 4*n - 67*r wrt n.\nAnswer: -1417004*r*v**2 - 2*r*v","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 492597 or 492590?\nAnswer: 492597","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27\/6*(6\/5)\/(162\/40).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -5*u**2 + u - 4. Suppose -3*z - 4 = 5. Let d(v) = -5*v**2 - 3. Let t(n) = z*w(n) + 4*d(n). What is the second derivative of t(f) wrt f?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 - 3690\/(-1476)*(-716)\/50?\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - -4) + 3 + (-3 - 1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 379 + 22?\nAnswer: 39b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in nine tenths of a litre?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 2 = 4*p + p, 3*c - 6 = 3*p. Let x(v) = 6*v - 2 + 3 + 0. Let h(z) = 7*z + 0*z - 6*z. Calculate c*h(r) - x(r).\nAnswer: -2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 86*u**3 + 140*u**3 + 70*u**3 - 68*u**3.\nAnswer: 228*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from grrrnllrnghl. What is prob of sequence ngnr?\nAnswer: 2\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3254730 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**2 + 4*x + 48. Let c be v(9). Sort 1, c, -2, 0 in decreasing order.\nAnswer: c, 1, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ce when two letters picked without replacement from {l: 2, o: 6, e: 3, c: 1}.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 312 = -774*d + 762*d for d.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21)\/((-21)\/(-7)) - -5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -115 * 1.4434895\nAnswer: -166.0012925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -437 (base 10) in base 7?\nAnswer: -1163","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/26414354 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8006\/7 + -1144. Let i = -8.94 + -0.06. Sort i, 4, f.\nAnswer: i, f, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 90*b + 163*b + 173*b - 2 - 591*b in the form g*b + r and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16936676 and 1036.\nAnswer: 118556732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3398 and 0.5?\nAnswer: -1699","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + 0. Let w = i + 3. Let r = 2.7 - w. Which is the second smallest value? (a) 3 (b) 5 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ewqegegeqqeqlfwlelq. What is prob of sequence flqe?\nAnswer: 5\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13085 - -209279\/16. Let u = 1021\/126 + -419\/36. What is the common denominator of u and k?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1293 - -1295. Let b(t) be the first derivative of 7 + 0*t**3 + 3\/2*t**6 + 0*t + 0*t**5 - 11\/2*t**h + 0*t**4. Find the second derivative of b(w) wrt w.\nAnswer: 180*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 34, 54, 86, 130, 186?\nAnswer: 254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 - -11120000?\nAnswer: 11112220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:38 PM and 10:19 PM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 517977 divided by -59\nAnswer: -517977\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2713681 = 38409*g + 1626536 for g.\nAnswer: -113","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 75 and 525?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/(-60)*(-3)\/1)\/((-630)\/240)\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-91)\/26 - -4)*0. Let y(h) be the third derivative of 7*h**2 + f*h - 1\/15*h**5 + 0*h**3 + 0 + 0*h**4. Let m(d) = 9*d**2. Calculate m(y(c)).\nAnswer: 144*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.053100182 to 4 dps.\nAnswer: 0.0531","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -14*k + 3. Let n(z) = 9*z - 2. Let b = -5 + 6. Let h be b\/((-1)\/(-6)) - 1. Suppose -4*a = -602 + 570. Give a*n(g) + h*i(g).\nAnswer: 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*c - 11*c + 36. Let f(o) = -2*o**3 + 6*o**2 - 3*o - 13. Let t(n) = n**3 - 3*n**2 + 2*n + 7. Let r(m) = 4*f(m) + 9*t(m). Is r(c) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**2 - 4*r + 10. Let f be t(4). Solve -j - 4*j = f for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 152 + -146. Let a(p) = 5*p - 24. Calculate a(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1137 or 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 102222, 101950, 101532, 100974, 100282, 99462, 98520?\nAnswer: 97462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 37*a**2 + a - 1. Let p = 1 + 0. Is k(p) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 108.96 (b) 16 (c) -1 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u - 5*i + 4131, 5*u + 0*i + i = 10362. What is u rounded to the nearest one hundred?\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -45235597 divided by 1.\nAnswer: -45235597","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 - 10 - 6 + 11 - 2535*t to the form f + l*t and give l.\nAnswer: -2535","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 6254110 rounded to the nearest ten thousand?\nAnswer: 6250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 - 3. Let n be f\/1 + -2 + -1. Suppose -n*k - 43 = -205. Is k a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 116 and 219126001?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 401*u + 4691 + 1808 = -3574 + 1251 for u.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h + 1. Let c = -32 - -29. Let k be -3*1 + (c - -7) - -1. What is the smallest common multiple of 21 and i(k)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (222\/(-740))\/(10*(-108)\/(-48)).\nAnswer: -1\/75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -223.03 + 225.23. What is the third smallest value in -20, -4, -2\/9, s, 2\/21?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 2*y + 12, 4*k - 5*y = 3*k + 18. Suppose -p + 2 = -k. Let l(m) = m**2 - 4*m - 1. Calculate l(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 1 z when three letters picked without replacement from qqzzzz.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the third derivative of -7*h**5\/20 + h**4\/12 + h**3\/3 - 24*h**2. Let i be m(2). Let r = i + 79. Solve r = -0*o + o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (5 + 133\/(-14))*(-4)\/6. Solve 5*h - z*i + 20 = 0, -5*i + i = -20 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23647785 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -6*q + 4. Let n = 24 + -24. Suppose -2*t + 0*t + 6 = n. Let d(j) = 5*j - 3. Calculate t*p(y) + 4*d(y).\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1157.999681 + -1158. What is y rounded to 4 decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3110238.\nAnswer: 2, 3, 73, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -46 + 32 - (4 - 6).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 4*j - 71 = 29, 0 = -2*g + 3*j + 70. Solve -3*q = 4*n - 8, -5*n + 4*q + g = 3*q for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.02985 from 959369.\nAnswer: 959368.97015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 127*s**4 - 2*s**3 + 1206*s.\nAnswer: 1524*s**2 - 12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-34)\/(-16) + (-35)\/280. Suppose 0 = 4*r + i - 22, 0 = -0*r + 5*r + 2*i - 29. Solve -q + 16 = -4*d, 0*q + l*q - 17 = r*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:37 AM and 5:01 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 21*j**2 + 31*j**2 + 19*j**2 - 88*j**2 - 16 - 15*j + 22*j**2 as t*j**2 + w*j + n and give w.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 = -9*z - 1035*n + 1028*n, 4*n = 20 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence io when two letters picked without replacement from oiodiiqiiiqi.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.5 (b) -2 (c) 71\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9402 by 5.\nAnswer: 9402\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - j = 4, 9*q + j = 13*q - 12 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78 = -19*x + 291 + 34 for x.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -1\/7, -3\/4, 5, 16 in increasing order.\nAnswer: -1, -3\/4, -1\/7, 5, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -6*y. Let m be k(-1). Put 5, m, 1 in ascending order.\nAnswer: 1, 5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2\/85 + -21\/170. Let r be (-1 + 0)\/((-132)\/(-24)). Sort 0.3, t, r, 3 in decreasing order.\nAnswer: 3, 0.3, t, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 28*k**3 - 9*k**2 + 2*k - 2. Let w be u(7). Let b be ((-1600)\/(-2))\/((-10)\/w). What is b rounded to the nearest ten thousand?\nAnswer: -730000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 507983078.\nAnswer: 2, 253991539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -116 + 352\/3. Solve 2\/3 - 8\/3*m - t*m**3 + 10\/3*m**2 = 0 for m.\nAnswer: 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 2*y**3 + 2*y**2 - 4*y + 3. Let r be x(1). Suppose 0 = 3*s, 2*d + r*s - 17 = 3. Calculate the highest common factor of 30 and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -9, -45, -107, -195, -309, -449, -615?\n\"Answer: -13*x**2 + 3*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + 2*p - 1 + (-6*p + 4*p + 0*p)*(2 + 4 - 4) + (-6 - 1 + 0)*(320*p + 505*p - 179*p).\nAnswer: -4524*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f = 6, -5*x - 6 = 4*f + 12 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 12436365 divided by -3\nAnswer: -4145455","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 40992 and 312?\nAnswer: 532896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 - -4. Let r be ((-672)\/(-378))\/((-14)\/(-315)). Solve p - 1 = a*p + 4*w, r = 4*p - 5*w for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 1146?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -194*r**2 - 14*r**2 - 423*r**2 - 1196*r wrt r?\nAnswer: -1262","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4370)\/5336 + (-12)\/(-174))*(-16)\/(-174)?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*m**3 - 19*m**3 - 4*m**3)*(2 - 2 + 2)*(4*m - 5*m + 2*m).\nAnswer: -62*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3492874 and 66?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 245d - 146?\nAnswer: 2317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 245470045 a multiple of 332?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 - -13. Suppose 2*l + 1 = l, z - l - q = 0. Solve -2 + z = 4*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(5 + sqrt(52)) + (sqrt(65)\/sqrt(45) - ((2*sqrt(13))**2 + sqrt(13))*3).\nAnswer: -126 + 28*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**2 - 1. Let i(z) = 210 + 139 - 4*z**2 - 352 - 18*z**2. What is i(y) - 3*q(y)?\nAnswer: -19*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9 and 63?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate r**2*v**2 - 1009272*r**2 + 1272*v**2 - 24 with respect to r.\nAnswer: 2*r*v**2 - 2018544*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3605058 by -333.\nAnswer: -10826","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/9 - (-1 - (-8)\/(-3)). Let k(j) = 4*j + 15. Let t be k(o). Suppose t = 5*a - 68. Does 19 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - a**2 + (-1 + 1 + 2)*(-a**2 - 2*a + 2*a) + 0*a**2 - 3*a**2 + a**2 - a**2 + a**2 - 12*a**2)*(23*a**2 + 33*a - 33*a).\nAnswer: -391*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 + 10. Let q = -3 + 7. Let i = 43\/2 - 21. Which is the nearest to i? (a) q (b) 2 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**3 - 8*w**2 - 23*w + 7. What is q(9)?\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h - 4. Let a = -9 + 5. Let o be i(a). Let x(p) = -5*p + 1. Let m be x(-4). Solve o = 2*s - 5*l - 2 - m, 0 = -2*s + l + 11 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*u - 72*u + 1008. Let x be -2 + 12\/3 + -2. Solve -3*a - a - u = x for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:18 AM and 10:05 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 45 and 1203535.\nAnswer: 10831815","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 less than or equal to 65?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 0.09, 9 in descending order.\nAnswer: 9, 0.09, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -5461*g**3 - 3*g**2 + 64*g + 145. List the prime factors of q(-2).\nAnswer: 13, 3361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -203, -1812, -6173, -14660, -28647, -49508, -78617?\nAnswer: -117348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2123120121 (base 4) to base 8.\nAnswer: -2333031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/(u*u\/(u**(-2\/11)*u)*u))\/(u\/(u**(-7)\/u)*u*u))**(3\/13))**(-28) assuming u is positive.\nAnswer: u**(11256\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 35963 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2288, -0.1, -1\/3, -5, -2\/5, -0.0394?\nAnswer: -0.0394","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 less than -3020675.4?\nAnswer: -3020675.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14410851?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**2 + 54*q - 105. Let i be u(2). Let r(c) = 27*c + 7. Calculate r(i).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*m + m + 0*m)*(11335*m - 1405*m**2 - 11335*m).\nAnswer: -7025*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 + 161 = 4*f. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**2 + g. Let u(m) = -5*m**2 + 3*m + 2. What is -4*q(d) + u(d)?\nAnswer: -d**2 - d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23574985?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 + 10 + 21 + -16 + 2?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 549?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 52 = -2*v + 69, 4*r - 38 = -2*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the second derivative of -31\/20*d**5 + 0*d**2 + 13*d + 5\/6*d**4 + 0*d**3 + 0. Find the third derivative of f(s) wrt s.\nAnswer: -186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (6 + -8)*((-31901)\/6 - 6)*3.\nAnswer: 109, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 557038*1.56.\nAnswer: 868979.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i when three letters picked without replacement from {g: 2, d: 4, f: 4, h: 1, i: 6}.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2803093*b**2 - 2*b**3 - 2803093*b**2.\nAnswer: -2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6776 + -7118. What is the nearest to 1\/2 in 4, -6, i, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 2*g + 8, 4*p + 13*g - 17*g - 60 = 0. What is the nearest to 2 in -5, p, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20*122\/(-5)*(-265)\/(-2120)\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.0363664 greater than 3\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000699 to 6 dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) 2\/9 (c) -57.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 divided by -5631.\nAnswer: -11\/5631","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 101 divided by -3805.\nAnswer: -101\/3805","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.05 + 7.69\nAnswer: 7.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ni when two letters picked without replacement from {u: 1, y: 4, s: 2, n: 2, i: 1}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2*(45\/(-6) + 1). Let o(u) = u + 30. Suppose -5*y + 15 = -15. Calculate the remainder when o(t) is divided by y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*t + 2 - 6 - 106*t**2 + 2*t**4 + 74*t**2 wrt t.\nAnswer: 24*t**2 - 64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i\/(i*(i*i\/i**3*i)\/i*i)*i*i*i**4)\/(i**(-3))**49)**(-10\/3) assuming i is positive.\nAnswer: i**(-1540\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -444 - -447.1. Which is the fourth smallest value? (a) h (b) -2\/7 (c) 0.5 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 24299, 48601, 72903, 97205, 121507?\n\"Answer: 24302*l - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*s**3 - 3*s**4 + 69*s**4 - 5*s**3 + 2*s to the form q*s + y*s**4 + r*s**3 + g + z*s**2 and give y.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 7 = 4*x + k, 0 = 3*x - 3*k - 24. Let i be 10*(1 - ((-3)\/6)\/(-1)). Find the third derivative of -d**2 - 2*d**x - 3*d**2 - 2*d**2 - d**i wrt d.\nAnswer: -180*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 144007357?\nAnswer: 13, 17, 651617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*n + 24*n + n + 1.\nAnswer: 17*n + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14*a**3*i**2 - a**3*i*l + 24*a**3*l*x + 3*a**2*i**2*x + a**2*i - 6*a*i*l*x + 97*a*l + 5*x wrt a?\nAnswer: 84*i**2 - 6*i*l + 144*l*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 2\/815?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6850.33 and -9.\nAnswer: -61652.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the first derivative of -70*a**3\/3 + a**2 + 4*a + 3. Let y be q(3). Round y to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 2*y + 3 + 17, l = 2. Let t be 75\/(-27) - (-2)\/y. Sort t, 5, -5 in descending order.\nAnswer: 5, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-3))\/((605\/33)\/5).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 73329 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.5 - 3.1. Let h = 0.2 + -4.2. Which is the closest to 1\/2? (a) h (b) v (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = o + 2*z - 3*z, -80 = -5*o + 2*z. Suppose 20*s - o = 11*s. Solve -1 + 5 = -s*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*8245738.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4bca814 + -2?\nAnswer: 4bca812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1502 is divided by 1375.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 3*r + 5. Let p be q(0). Suppose -1416 = -4*z + y, -p*z - 3*y + 1445 + 342 = 0. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 8 + 1 = 0. What is the remainder when 170 is divided by a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 35 and 1239.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*s = 4*c - 12*s - 13, 4*c + 4*s = -12. Let b = -88 - -126. Calculate the lowest common multiple of c and b.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(156)\/(3*sqrt(12)) + sqrt(26)\/sqrt(2) + 4 + 5)**2.\nAnswer: 64*sqrt(13)\/3 + 784\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/225*-85 + (-12 - (-340)\/30)\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r**3 + 4 - 4)*(-283 + 329 - 450*r + 436*r).\nAnswer: -42*r**4 + 138*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -63293*f**4 - 33*f**3 - 2*f - 44307 wrt f?\nAnswer: -759516*f**2 - 198*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add 5 and 64.933.\nAnswer: 69.933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, x: 2, q: 2, h: 1}. Give prob of sequence xxh.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**2 - 12*s + 20. Let q be k(9). Does 6 divide (18\/q)\/(9\/(-42))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 790*d**2 + 799*d**2 + 794*d**2 - 2400*d**2.\nAnswer: -17*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 2121481900 to the nearest one million.\nAnswer: 2121000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*g - 5*g + 3*g)*(-4 + 4 + 1) + 5*g - 3*g + 3*g + 3*g to the form t*g + w and give t.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, 0.3, 23, -1\/3, 923.3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 439035060?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*y**2 + 135813*y + 48*y**2 - 135813*y.\nAnswer: 59*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*x**3 - 2*x**3 + 4*x**3 + x**3 + 9*x**3 - 9*x**3.\nAnswer: 5*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(192)*5 + (sqrt(192) - -2*sqrt(192)))\/(sqrt(1764)*4).\nAnswer: 8*sqrt(3)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 3*z**2 + 0*z**2 + 3*z**2 - z**2. Let k be 0 + 4 + 2\/1. Let b(i) = 8*i - 6. Let h(p) = p - 1. Let r(j) = k*h(j) - b(j). Calculate g(r(w)).\nAnswer: 20*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -876 - -774. Which is the second biggest value? (a) g (b) -5 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes before 8:13 PM?\nAnswer: 1:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 + 11 + (-8 - -17) + (0 - -7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 25098914*n*x**3 - n*x**2 + 7*n*x + 118*n - 7*x**2 + 14*x wrt x.\nAnswer: 150593484*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 9*s + 96. What is r(5)?\nAnswer: 141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 572*v**3 - 3*v**2 + 177*v - 804. List the prime factors of r(5).\nAnswer: 2, 35753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -201122112111 - -2121?\nAnswer: -201122102220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j + 24 = -2*d, -3522 = j - 4*d - 3526 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5174 divided by -3162?\nAnswer: -2587\/1581","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 56 = -5*m, 2*m + 2290*x = 2210*x - 1358 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*l**3 - 4910*l**2 - 9800*l = 0. Calculate l.\nAnswer: -980, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the second derivative of s**6\/120 - s**5\/20 + 2*s**3\/3 + 8*s**2 + 10*s. Let u(h) be the first derivative of f(h). Let u(p) = 0. What is p?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -473113*a + 473127*a + 504 for a.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 399a39 (base 11) to base 10.\nAnswer: 628153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 12 = 7*x + 4*g, 2*x + 3*g = -6. Suppose 0 = -3*o - 9, -2*i - 5*o + 4*o = -1. What is the third smallest value in x, 19, i?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5\/(-3)*(-110)\/825. What is the second biggest value in -14, y, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -10*w + 6. Let r(a) = 607*a**2. Give n(r(v)).\nAnswer: -6070*v**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -8, -3, 8, 0, -1 in decreasing order.\nAnswer: 8, 0, -1, -2, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19387252?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j + 9. What is the units digit of m(0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -7*v + 3*v. Suppose v*s - 39 = 6. Suppose 0 = -4*l + l + s. What are the prime factors of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17738 + 16733. Which is the fourth smallest value? (a) 1\/2 (b) 1 (c) 0 (d) j (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 380066 to the nearest integer?\nAnswer: 616","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13332*r**3 + 5892*r**3 + 6763*r**3.\nAnswer: -677*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - 0 - ((-14 - -7) + 4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 - 0. Let r(z) = -z**2 - 8*z - 6. Let i be r(l). Solve -i = -q - 2 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 31\/60 - -3\/20. Let l(s) = -s + 2. Let p be l(2). Suppose -2*d - d = p. Which is smaller: b or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1, -2, 10, -5, -16 in decreasing order.\nAnswer: 10, 1, -2, -3, -5, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2251589014?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 3*s - 11, -2*s + 11 = 3*s - 2*f. Suppose s*o + 2*o = 25. Suppose -o*d - 30 = -u, 4*u - d = 19 + 25. Is 6 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i**2 + 3*i**2 + 3*i**2 + 3*i)*(0*i - 3*i + i).\nAnswer: -6*i**3 - 6*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37 + 3*b**3 + b**3 + 42 - 79.\nAnswer: 4*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/8*18 + 1. Let o be m\/28 - (-2 - (-351)\/21). Is -16 < o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -133*q + 280 = -173*q. Let u(b) = -2*b**3 - 12*b**2 + 11*b - 3. Let a(f) = f**3 + 6*f**2 - 5*f + 1. Let x(k) = 5*a(k) + 2*u(k). Calculate x(q).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1127609 is divided by 473.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/9 of a hour?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -1\/909063?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 19396 - 4*q**2 - 12*q - 19396.\nAnswer: -4*q*(q + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 183*i - 180*i - 73 = 2*d, -61 = -11*d - 2*i for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53705.17l to millilitres.\nAnswer: 53705170","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:16 PM and 12:35 AM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10538 + 15942. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 185010.\nAnswer: 2, 3, 5, 7, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(1 + sqrt(363))*2 + (0 + sqrt(363) + 4 + sqrt(363) + -5)**2.\nAnswer: 88*sqrt(3) + 1465","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkiiiiwiwiwkk. Give prob of picking 2 i.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -20.15 and -2.4?\nAnswer: 48.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 5 + 23 - 26.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 315 (b) -134 (c) -0.1 (d) -13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 419 - 828. Let b = p - -409.0146. What is b rounded to three decimal places?\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 + 16\/(-10) - 92\/(-320). Which is bigger: -1 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -2*v**4\/5 - 584304*v**3\/5 - 42675226928*v**2\/5 + 170707919424*v\/5 - 170710256672\/5 = 0?\nAnswer: -146078, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22480.\nAnswer: 2, 5, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (-11 - -12 - (3 + -2)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 4) in base 3?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:08 AM and 10:58 PM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -4*t - r, 19*t - 4*r - 264 = -111 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.04 + -4.96. Let s = 5.5 + r. Which is the second smallest value? (a) 5 (b) -5 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p + 5*p + 32200000 = 0. What is p rounded to the nearest one million?\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -8*g + 373. Give z(48).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the second derivative of -q**4\/90 + 16*q**3\/45 - 129*q. Factor o(j).\nAnswer: -2*j*(j - 16)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19528484.\nAnswer: 2, 29, 79, 2131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkkkkkkkkkgkggkkkgkk. What is prob of sequence kkgk?\nAnswer: 112\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 232021\/799186 - 378\/977. What is the common denominator of q and 27\/4?\nAnswer: 1636","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 70*h**3 + h**2. Let l(t) = t - 4. Let a be l(5). What is the tens digit of s(a)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 700 = -4*z, 5*z - n + 6*n = 845. Calculate the remainder when z is divided by 62.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/14*49\/(-7))\/((-36)\/(-153)).\nAnswer: -17\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**(-1)*l)**34)**(-1\/36))**(-8\/3) assuming l is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1436260*v + 756183.\nAnswer: 1436260","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes after 8:49 PM?\nAnswer: 12:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:03 AM and 7:21 AM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1179116 - -1179169.7997. Let i = p - 54. Let w = 0.2 + i. Round w to 3 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 16 - 2 = 0. Let n = 3 - o. Suppose 0*v + 2*v + 6 = 0. Is v not equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 556 is divided by 56.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 9.4 * 650226\nAnswer: 6112124.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/24*(-7)\/(-14)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 56*s**3 - 104*s**2 - 113*s + 4273947?\nAnswer: 168*s**2 - 208*s - 113","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 253218961091 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 76 and 14516?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 61*p**2 + 4. Let r be s(-3). Calculate the highest common divisor of 79 and r.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of -2*(-16)\/12*(2 - -7) and 27.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 843727*t**2 - 2 - 843728*t**2.\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 137753 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) 2 (b) -4 (c) -45 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.06, 4, -0.03, 0.3?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 76*n**2 - 3*n - 37. Let j(a) = -25*a**2 + a + 13. Give 17*j(q) + 6*u(q).\nAnswer: 31*q**2 - q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 - (48 + (3 - (-2 + -10))) - 16?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - -2)*(-339)\/226?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/2*6\/(-399)*2\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -116220718183 and 4?\nAnswer: 116220718187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1855*u - 1851*u = -12, -6*v - u = 153 for v.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*f**3 - 172264*f**2 - 1854680356*f = 0. What is f?\nAnswer: -21533, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 842 is divided by 115.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -9126, -9111, -9094, -9075, -9054?\n\"Answer: v**2 + 12*v - 9139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n - 10. Suppose 0 = -0*b - 2*b - 304. Let j be (b\/(-20))\/(17\/5 - 3). Let p = -9 + j. Determine i(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7.2 + -3.2. Let b = h + 56. Let t = b + -60.00124. What is t rounded to four decimal places?\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11)\/((-154)\/(-12))*728\/(-13).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -2*y + 16, -4*z + 3*y = 2*y - 5. Let w(q) = q - q + z*q - 1. Let g be (0 - 3)*28\/(-42). Give w(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 864407 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = -5*i - 120. Let z be i\/(((-18)\/(-32))\/(-3)). Let d = z - -33. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13)\/117 + 2\/(-9).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2*3\/(-6))\/1. Let r be (12\/(-3))\/(x - 0). Solve 4*p + 16 = -r*n, -p = -2*n + 2*p + 12 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 5*z - 36. Let d be 1*3*(-33)\/z. Let b = d - 9. Which is smaller: b or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*j - 4*o + 8 = 0, -4*o = -11*j + 8*j - 2 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*5)\/(4*1*163\/(-326)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 77502 to the nearest integer?\nAnswer: 278","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -139741*f + 45 = -139744*f for f.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(600) + 1*sqrt(600) + sqrt(600) + (-1*sqrt(66))\/sqrt(11))\/(sqrt(2) + (sqrt(2) - -2*(sqrt(2) + sqrt(32))) - sqrt(12)\/(sqrt(18)\/sqrt(3))).\nAnswer: 29*sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56 + 112 + 269*v - 155.\nAnswer: 269*v + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -6 - (-3)\/(2 + -5). Let v be (0 - 0) + 2 + h. Let j(m) = -m**3 - 4*m**2 + 7*m + 4. Give j(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/(-10) + 315\/25 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 1400038\/3 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*4*((((1*sqrt(70) - sqrt(70)) + sqrt(70))*2)\/(3*sqrt(490)))**2*4.\nAnswer: -64\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 188274865 a multiple of 2874?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 917546157.\nAnswer: 3, 11, 19, 277, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -58 + 62. Suppose -5*s + 19 = -3*k, k = -s - k - g. What is the remainder when 5 is divided by s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from {o: 6, g: 4}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -93 by -5.\nAnswer: 93\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -2*j**2 + 42*j - 24. Let o(i) = 8*i - 1. Let h(a) = l(a) - 2*o(a). What is h(12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -132 + 232*x**2 - 127 + 261 to s*x + a*x**2 + o and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2\/2967 + -5278\/4945. Let x = -125215\/18 + 6961. What is the common denominator of x and n?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t. Suppose -u = 2*y + 8, -u = y - 2*y - 10. Let c(h) = 2*h - 1. Let i(v) = y*n(v) + 2*c(v). What is the least common multiple of 20 and i(-2)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1965 and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from {t: 9, w: 9}.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 8.8 + 174.4\nAnswer: 183.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a9b7 (base 13) to base 12.\nAnswer: -11821","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and 62.5754?\nAnswer: 6.25754","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**3 + c + 1. Let g(w) = 6*w**3 - 4*w - 5. Determine -g(n) - 5*v(n).\nAnswer: -n**3 - n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3 - -3)\/((-2)\/1). Suppose z = -5*g - 2*h + 140, 0 = g + 5*h - 0 - 5. Let t be ((-10)\/g)\/(1\/(-33)). Calculate the greatest common factor of t and 88.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 411 and 26970?\nAnswer: 3694890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 40, 61, 104, 181, 304, 485, 736?\nAnswer: 1069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-14 - -26)*(-212)\/(-12). Find the second derivative of -l*r**5 + 2*r**2 + 114*r**5 - 2*r**2 + r + 36*r wrt r.\nAnswer: -1960*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 538*c**2*d**3*j**2 + c**2*d**3*j - 4*c**2*d**2*j**2 - c**2*d**2*j + 7*c*d**2*j + 15*d**3 - 4 wrt j?\nAnswer: 1076*c**2*d**3 - 8*c**2*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 0*m - 3*m + 4*m - 2*m + 3. Let s be 3 + 2 + -2 + 0. Suppose -4*b + 3 = a, -4*a = -s*b - 4 - 8. Determine t(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1068 and 66.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4 from 14588.\nAnswer: 14584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 34225\/8 - 4289. Let a = -8464 + 5710. Let n = 19317\/7 + a. What is the common denominator of n and o?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 3*r + 9 = 0, 3*r = 5*n + 8 + 7. Let u(g) be the second derivative of -g**3\/3 + 2*g**2 - 5971*g. Let o(f) = 5*f - 9. Determine n*o(w) - 7*u(w).\nAnswer: -w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1477145 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2730556630.\nAnswer: 2, 5, 283, 964861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 76*u + 20. List the prime factors of t(3).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 2*k. Let g(x) = -21882*x**2 + 18. Calculate g(b(y)).\nAnswer: -87528*y**2 + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 15*r**3 + 12*r. Let z = 124 - 111. Suppose -15 = z*p - 171. Suppose 0 = -q - q - 10. Let t(g) = 6*g**3 + 5*g. Give p*t(v) + q*s(v).\nAnswer: -3*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 44*g**3 + 357365*g**2 + 45101939*g?\nAnswer: 264*g + 714730","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7 - 33 + 16 + 30)*(-1 + 1 - l) to the form c + h*l and give h.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21715, 43423, 65131?\nAnswer: 86839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the first derivative of -61*d**4 + d**2 + 181 + 0*d - 8\/3*d**3. What is the third derivative of y(s) wrt s?\nAnswer: -1464","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ofoojjfojrljjjj. What is prob of picking 3 o and 1 j?\nAnswer: 4\/195","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 79972200 divided by 15994440\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4\/119017 - -2856436\/833119. Factor 0 + 10\/7*o**3 + 8\/7*o - l*o**2.\nAnswer: 2*o*(o - 2)*(5*o - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/27059463 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 - 4*t**2 - 4*t - 4. Suppose -5*z - 23 = 4*f, 0 = 4*z - z - 4*f + 1. Let n be u(z). Let c = 1115 - 1117. Sort -10, 4, c, n in descending order.\nAnswer: 4, n, c, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5514 - -7512?\nAnswer: 15226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 538330\/208 - -2*2\/(-32)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -36*i**5 - 120*i**4 - 100*i**3 = 0.\nAnswer: -5\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-83)\/(-2))\/(23 - (-539)\/(-22)). What is the closest to 2 in 0, -2\/11, i?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2839 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 - (0 - (-2 - -4)). What is the nearest to 0.2 in 5, d, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3726 and 36.\nAnswer: 7452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 170 - 156. Suppose 36 = -2*v + p*v. Factor 8\/3*i**4 + 0 - 2\/3*i**5 + 8\/3*i**2 - 2\/3*i - 4*i**v.\nAnswer: -2*i*(i - 1)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 211 + -102. Let q = b + -102. Solve 3*j + q = 1 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**3 + 12*x**2 + 27*x + 10. Let s be q(14). Let j = 3 + -1. Which is the second biggest value? (a) s (b) -0.5 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes before 3:26 AM?\nAnswer: 5:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 85002?\nAnswer: 340008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 - 19*l**2 - 84*l + 4. Let g = 3 - -6. Suppose -4*m + 2*f + 34 = 0, -3*m = 4*f - 44 - g. What is the smallest common multiple of m and b(-7)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -978*o**3 + 5*o**2 - 4*o. Let n(d) = 1467*d**3 - 7*d**2 + 7*d. Let i(m) = 7*l(m) + 5*n(m). Find the second derivative of i(k) wrt k.\nAnswer: 2934*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-3)\/2)\/(9\/(-12)). Let l be (-9)\/6 - (-9)\/w. Suppose -l*h = 2*h - 245. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rv when two letters picked without replacement from rervehehheehreeeeeee.\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*r = -16*r + 106. Solve b = 2 + r for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 0.2 (b) 1 (c) -187546 (d) -3\/4 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 3*s = -2759, 3*h + s - 8217 = 4*s. Let n = -947 + h. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 - 3*w**2 + 0.\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -29721*j**5 + 2*j**3 - 8*j**2 - 1615*j.\nAnswer: -1783260*j**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 58325 to the power of 1\/3, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -z**3 + 5*z**3 + z**4 - 4*z + 6 + 5*z - 7 - 2*z**2 to t*z**2 + b*z + v*z**3 + w*z**4 + i and give v.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 31 + -35. Put -3, 4, u in decreasing order.\nAnswer: 4, -3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 14*c - 41. Suppose -c*z - 16 = -r, 7*z - 4*z = -15. Suppose -4*o + p - 28 = 4*p, 3*p = 2*o - 4. Is o < r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b = -2*b + 5*o, 2*b - o - 1 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20*k - 3*k**2 - 19*k - 63*k + 5*k**2 - 4*k**2 to n*k + d*k**2 + p and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 3325 = 6*x. Let t(o) = 665 - x - o. Let p = -50 - -50. Determine t(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*y**5 - 32*y**4 - 59*y**3 - 12*y**2 + 36*y = 0. What is y?\nAnswer: -3, -2, 0, 3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13372527 (base 8) to base 15.\nAnswer: 3e7652","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9013 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 remainder when 2267656 is divided by 64790?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*o - 6*o - 948. Is 79 at most o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 2239*s**2 + 46374*s. Let l(r) = -2*r**2. Calculate b(l(i)).\nAnswer: 8956*i**4 - 92748*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 202726003, 405452006, 608178009, 810904012, 1013630015, 1216356018?\nAnswer: 1419082021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18*l + 5*l - 2 - 8*l to v + f*l and give f.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**2 + 9*l + 4. Let p be r(9). Let y be (-49)\/(-7)*p\/14. Let c be 1\/(9\/(-24)) + y. What is the second smallest value in c, 2, -3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 8*h = -9*h, -2*b - 15 = 5*h. Solve z + 0 = -b for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 41, 45, 51, 59, 69?\n\"Answer: d**2 + d + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 186*f - 186*f + f**2 + 12 as x + m*f**2 + a*f and give x.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 + 119 = 6*a + 3*b, 78 = 3*a - 3*b. Solve 91*l - 82*l - a = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-470)\/(-188))\/((9\/(-15))\/(2*(-2)\/(-20))).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -1197*z + 411700. Determine a(344).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -2 + 161*t - 162*t - 2 - 8. Give u(-10).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -150\/49?\nAnswer: -150\/49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11195 and 17618691?\nAnswer: 88093455","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 16710931 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 312089496*q**3 - 312089504*q**3 + 0*q + 0*q.\nAnswer: -8*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {l: 1, j: 6, s: 1, u: 2, t: 2}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -6 - 13?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.1 - 0.9. Let a = -0.9 - v. Let z = 0.03 - -2.97. Which is smaller: z or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 b when two letters picked without replacement from {a: 4, b: 2, v: 3, h: 7, y: 3}?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 6*h + 38. Suppose 2*y = -3*y - 30. What is the units digit of j(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:19 PM and 12:01 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3 + -8 - (-4 + 11). Let w be (k\/5)\/(20\/(-50)). Let o(y) = 6*y - 31. Determine o(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 2\/15, -8, 4.\nAnswer: -8, -0.4, 2\/15, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q\/q**(2\/89)))\/q**37)**(-11\/8) assuming q is positive.\nAnswer: q**(36201\/712)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 - 11. Let l(o) = -11*o + 2. Is l(y) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3 - 0\/(3 + 0). Suppose 3*g = -4*n + 14, t*n - 2*g + 2 - 21 = 0. Does 5 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + 0.1. Let f = 13544\/35 + -387. Let w = f + 73\/105. What is the second biggest value in z, 1\/2, w?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2065 is divided by 194.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 - -0.1. Suppose -2*o + 4 + 0 = 0. What is the second smallest value in h, o, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 527 + 13*t**3 - 15*t**3 + 21.\nAnswer: -2*t**3 + 548","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1206 by -89616.\nAnswer: 201\/14936","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times 940\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -9421 + 3?\nAnswer: -9418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 28\/(-8)*6\/(-7). Solve -3*t = 5*i + 9 - 1, c*t - 3*i = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 4*p + 23. Determine s(13).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - -1 - (9 + -6 + 0).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -168771512, -337543024, -506314536, -675086048, -843857560, -1012629072?\n\"Answer: -168771512*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -38 - (1 - (2 - (-4 + -13 + 8))).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -18 - -18. Suppose -4*p = -p + w - 117, l = -5*p + 5*w + 175. Does 17 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -644, -31, 942, 2275, 3968?\nAnswer: 6021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 357236 or 4644082\/13?\nAnswer: 4644082\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.0202 take away 6492?\nAnswer: -6493.0202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18820 is divided by 4702?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 t when two letters picked without replacement from pxeeedtedt?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o + 25 = 12*o. Solve 5*f + o*l + 10 = 0, l - 10 = -6*f + f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 350*a**2 + 509*a - 2967. List the prime factors of k(6).\nAnswer: 3, 4229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) -0.1 (c) -5 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2019349?\nAnswer: 37, 54577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 15 and 77.2746?\nAnswer: 1159.119","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -25, -56, -91, -130, -173?\n\"Answer: -2*p**2 - 25*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5\/17, -11, -0.1?\nAnswer: -5\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -976, 5, -3, -4, 2 in ascending order.\nAnswer: -976, -4, -3, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 4, 41 in decreasing order.\nAnswer: 41, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes before 2:18 PM?\nAnswer: 3:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 506946.\nAnswer: 2, 3, 11, 7681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3231 != 36?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 4, w: 2, f: 1, n: 3, k: 7}. What is prob of picking 2 k and 1 w?\nAnswer: 21\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 2 + 1. Suppose -3 = -2*y - u. Suppose -2*g - y = -13. 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 the square root of 502644 to the nearest integer?\nAnswer: 709","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(1377)*1)**2 + (sqrt(1377) - -3*sqrt(1377)) + -3.\nAnswer: 36*sqrt(17) + 1379","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 708.3287 millennia in years?\nAnswer: 708328.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.7 + -0.2. Let o = -0.75 + j. Let g = o + 6.85. What is g rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2557340 plus 3942.19?\nAnswer: 2561282.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3*(-7)\/(-2*(-3)\/1038). Suppose 7*l = 7091 + o. Suppose 3*f - 569 = -w - 55, 3*w - l = f. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7.5 - 0.5. Let q = 8.2 + p. Let d = 1 + 0. Which is the closest to d? (a) q (b) 1\/4 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.26 - 0.16. What is the nearest to v in -5, 1, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -15, -30, -61, -114, -195, -310, -465, -666?\n\"Answer: -r**3 - 2*r**2 - 2*r - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.62 rounded to 0 decimal places?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2081, -4554, -7423, -10688, -14349, -18406, -22859?\n\"Answer: -198*p**2 - 1879*p - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5\/(-12) - (-1799)\/514. Let z(i) be the second derivative of -2*i**2 + 0*i**3 - p*i**4 + 0 + 6*i. What is the derivative of z(l) wrt l?\nAnswer: -74*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 145 = 2*x. Suppose -4*l + 308 = 5*y, 2*y + 8 = 3*l + x. Suppose 5*b - y = 3*d, 5*b - d - 39 = 19. List the prime factors of b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26 is divided by 26.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-10)*(-3375)\/(-1350))\/(2\/(4*-17))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-284)\/(-6) + (-4)\/(-6). Suppose 8*d - j = 4*d. Suppose 4*a + 4*y = 3*a + d, 3*a - 20 = -4*y. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90*m + 3*i = 94*m - 27, -i - 5 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -890750 rounded to the nearest 100000?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 25 = -65. Suppose -a = -2*y - 5, -5*a = -k*y + 5*y - 46. What is the least common multiple of 36 and a?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 2*q**2. Suppose -5*f = -4*f - 5. Let s(z) = 3*z - f*z + 0*z - 5*z. What is c(s(i))?\nAnswer: 98*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-2\/7))**(2\/77)*(r*r**(-11)\/r)**(2\/7))**(4\/7) assuming r is positive.\nAnswer: r**(-6792\/3773)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 811*l**2 + 16*l - 1. Suppose 4*k - 22 = 6*k. Let s(o) = -162*o**2 - 3*o. Let u(h) = k*s(h) - 2*p(h). Does 24 divide u(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13 - -1) + 7 + (-37 - -22)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - 4*j - 3230132, 2744594 = 5*a - j - 1293047. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 16*p**2 + 32*p - 150. Let x be n(5). Let y = x + -405. Let w(v) = 6*v + 1. Let i(g) = 0 + 2*g + 1 + 2*g. Calculate y*w(d) - 7*i(d).\nAnswer: 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - 4*m - 1398, -258 = 2*y + 3*m - 1173. Let b = 454 - y. Is 5 <= b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(1\/4)*y)**23\/((y\/(y\/(y**1\/y)))\/(y*y\/y**(1\/4))) assuming y is positive.\nAnswer: y**42","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fjftjoftjozopjo. What is prob of picking 1 p, 1 t, and 1 j?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.179*-1249\nAnswer: -223.571","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 320922?\nAnswer: 2, 3, 7, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + o = -5*f - 5, o - 5 = 2*f. Let w be -2 - (-4 + (-2)\/f). Which is bigger: 1\/5 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 12*q**3 + 19*q**3 + q**2 + 9*q**3 - q**2 + 73 wrt q?\nAnswer: 120*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 66197862 and 4843746.\nAnswer: 198593586","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -98 - -100. Suppose 0*u = j*u - 4*d - 816, 2*u - 5*d = 812. Calculate the highest common factor of 13 and u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*d + 110487 - 4905. Let f(k) = -4075*k**3 - k**2 - 2*k - 3. Let v be f(-2). Let q = d - v. What is q rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**3 + 5*y**2 + 5*y + 6. Let d be g(6). Suppose 3*r + 4*t - 34 + 7 = d, 8 = r + t. Suppose -34 = 4*v - 30. Which is greater: v or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 8) to base 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -11022332120 (base 4) to base 11\nAnswer: -84659a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = d - 32. Is 4 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -167*c + 185*c - 180. Calculate the remainder when 1405 is divided by c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i and 1 e when four letters picked without replacement from iiiiliiiiileiiiib.\nAnswer: 143\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bgk when three letters picked without replacement from vbkvfgkh?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lqqquqlqlqqlqlllqquq. What is prob of picking 2 u and 2 l?\nAnswer: 7\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 + 0 + 1 - 1*-1. Let u(h) be the third derivative of -1\/180*h**5 + 0*h + 0*h**4 + 0*h**3 + 0 - 1\/360*h**6 - t*h**2. Factor u(p).\nAnswer: -p**2*(p + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.06, -20.3, 992, -2 in descending order.\nAnswer: 992, -0.06, -2, -20.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1199162?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 - -1) + 22 + 3 + -6?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j**2 - 4 + 4)*(2 - 4 + 0)*(53*j**2 + 246*j**2 + 43*j**2).\nAnswer: 1368*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -306.62 - -306.597043. What is w rounded to three decimal places?\nAnswer: -0.023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*d**2*x**3 + 151*d**2*x**2 + 9*d**2 + 1298*d*x**2 - 28*d*x - 2*x + 660 wrt x.\nAnswer: 18*d**2*x + 302*d**2 + 2596*d","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/14 + (-27)\/(-21). Let s be (-10)\/((x - 3) + 0). Let u be 1 + 3 + 1*-1. Solve -5*c - 5 + 21 = u*k, s*k = c + 8 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 - (-1 + (-2 - -2)). Let i(a) = h + 0 + a. Let f(b) be the second derivative of b**4\/4 - 21*b. What is f(i(z))?\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -3*t - 6, 6*x + 21 = 3*x + 4*t. Let l(d) = 7*d - 3. Let y(s) = 14*s - 7. What is x*y(a) + 7*l(a)?\nAnswer: 7*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1597.\nAnswer: 1597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -98 + 97.9999921. Round d to 6 decimal places.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7) - (2 + sqrt(252) + sqrt(7))) + sqrt(847)*2)**2.\nAnswer: -64*sqrt(7) + 1796","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4055*g**3*j**3 + 86*g**3*j - 29*j**2 wrt j.\nAnswer: -24330*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 3205950?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -99*p + 164*p + 6*p**2 - 71*p.\nAnswer: 6*p**2 - 6*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 20 + 22 + 152*i.\nAnswer: 152*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**2. Let l(c) = 31*c**3 - 9*c**2 - 16*c - 8. Let x(y) = 11*y**3 - 3*y**2 - 6*y - 3. Let j(d) = 3*l(d) - 8*x(d). Calculate j(u) + 3*p(u).\nAnswer: 5*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -9*n**2 - 5*n + 23. Let w(r) = -4*r**2 - 2*r + 11. Let i(u) = -6*c(u) + 13*w(u). Let x be i(-2). Solve -6*a - 10 = 4*q - 5*a, 3*q = -x*a + 1 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 319859 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/((-259)\/(-21) - 9).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.46 and -12836.\nAnswer: 5904.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1010 and 230.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 32 by 4.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -170, -175, -180, -185, -190?\nAnswer: -195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4129120 and 3096840?\nAnswer: 12387360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put together -887 and -440895.\nAnswer: -441782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32200300020 (base 4) to base 15.\nAnswer: 502263","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + 4, 5*z + 6 = -4*o + 58. Sort o, 5, 3, -5 in increasing order.\nAnswer: -5, 3, 5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -339318.693 + -323?\nAnswer: -339641.693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 11 = 2*h, -4*g + 9 = -3. Solve 0 = c - h - 1 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**3 + 44*f**2 - 460*f - 22924. Give w(-42).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.16 + 0.03. Let z = r + 0.13. Which is the nearest to 0? (a) 0.4 (b) z (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + 2. Suppose -z*u + 8 = u. Suppose u*n + l = 4*l + 2, 3*n - 3*l - 3 = 0. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 j when two letters picked without replacement from wotdtjwwotowoo.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a + a**2 + a)*(a**3 + a**3 - 5*a**3) + 13*a**5 + 88*a**5 + 59*a**5.\nAnswer: 157*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of -232441 and -0.11272126.\nAnswer: -232441.11272126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (13\/(-117))\/(2\/(-6))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 41649957?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5566 and 117759862.\nAnswer: 5566","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11896, 49090, 111584, 199372, 312448?\nAnswer: 450806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -913534*d*i**2 - d*i - 3*d - 2*i**2 + 288*i + 10875 with respect to d.\nAnswer: -913534*i**2 - i - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:08 PM and 9:41 PM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/(9\/(-96)*2). Suppose 0 = 3*g + 15, -g = -3*u + g + 7. What is the tens digit of (f - 2) + u - -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m and 1 g when four letters picked without replacement from {t: 4, g: 1, p: 2, m: 4}?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 10, 77, 202, 385, 626, 925?\n\"Answer: 29*n**2 - 20*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -34*c**3*s + c**2*s**2 - c*s + 9*c - s**2 wrt c?\nAnswer: -204*c*s + 2*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 66799 - 2\nAnswer: 66797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*j = -19*j + 3. Suppose -2*u = 3*u. Let s = 2 - u. What is the remainder when s is divided by j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77*u = -69*u + 40. Which is smaller: 15 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11968309\/84924 - 13\/12132. Let q = 279\/2 - b. Which is smaller: q or 8?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) -2\/9 (c) -4547 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**2 - 4*d + 45. Calculate i(-9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -99, -406, -917, -1632, -2551?\n\"Answer: -102*d**2 - d + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 2 l when four letters picked without replacement from lololqlulqlqqlul.\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -164*d = 61*d - 186750. What is the remainder when d is divided by 27?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20248 = 3*d - 4*q, 5*d = -35*q + 36*q + 33724. Suppose 2248 = 16*w - d. List the prime factors of w.\nAnswer: 2, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from {g: 4, j: 5, a: 4, k: 6}.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/5 less than or equal to 16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 38817269, 77634565, 116451861, 155269157, 194086453?\n\"Answer: 38817296*c - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.4 > -20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1056\/5*j + 1014\/5*j**2 + 399\/5*j**3 + 12*j**4 + 3\/5*j**5 + 384\/5 = 0. Calculate j.\nAnswer: -8, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*k, 2*v - v + k - 146 = 0. Suppose 0 = -4*u - n + v, u + 3*n - 75 = -u. What is the smallest common multiple of 8 and u?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*v + 5*v + 19*v**2 - 17*v**2 to o + n*v + g*v**2 and give n.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 16\/(-72) + 124\/585. Is y less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 32107045 + 4?\nAnswer: 32107049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100001110001110 + -1011001010?\nAnswer: 100000011000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/7 - 90\/21. Let v(s) = s**2 + 7*s + 6. What is v(i)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 35\/2*f + 1225\/4 + 1\/4*f**2.\nAnswer: (f + 35)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - 3. Let c be 9\/18*s\/3. Let n be 70\/175*(-1 + 2)\/4. Sort -4\/3, c, n in decreasing order.\nAnswer: n, c, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-36)\/(-12))\/(15\/3)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3103 is divided by 1366?\nAnswer: 371","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3 or 3\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i + 2. Let y be x(-2). Suppose 0*g - 11 = 3*l + y*g, 2*l = -4*g - 14. Suppose 5*q = -z + 15, -4*z - l = -5*q + 12. What are the prime factors of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-17)*(l*l**5)\/l assuming l is positive.\nAnswer: l**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1814761 to the power of 1\/5, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (19\/((-456)\/18))\/((-42)\/(-16)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 162785 and 280?\nAnswer: 1302280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in -2, 1, -4, 2\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (1 - -13 - 4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 388*l - 392*l - 12 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -153*j - 156*j - 152*j - 143*j - 2*j**2 + 629*j.\nAnswer: -2*j**2 + 25*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 - 3*f**2 + 4*f - 6. Let j = -62 - -123. Let i = j - 58. Let l be g(i). Solve 5*v + l*b = b - 40, -2*b = -5*v - 5 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 669163 - 669126. Let g = 165 - -55. Calculate the remainder when g is divided by y.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -3*u + 3*c - 2, 3 = u + 2*c. Let t be (-20)\/u*9\/6. Let w = t + 15. Solve w*v = -4*z + 11, 3*v + 3*z = 5*v - 9 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1143092 (base 10) to base 11\nAnswer: 710905","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -2*n + 50, -2*p + 16 = 2*n - 28. Let u = 31 - n. What is the remainder when 21 is divided by u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 208 (b) 0.4 (c) -0.4 (d) -59.5 (e) 0 (f) -0.1 (g) 2\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.039954 less than 24430.73?\nAnswer: 24430.690046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 785?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 0*u - 16 = 4*g, 4*g = u - 16. Suppose 2*x + 3*x - 565 = u. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 152.251 rounded to the nearest 10?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - o + 4*o - 4*o + (0*o + 3*o + 0*o)*(0 + 1 + 1) in the form s*o + y and give s.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 242149 and 2315.\nAnswer: 463","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/(-6)*8\/8)\/(126\/441).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 15.398828 to the nearest integer.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 + 1)\/((-22)\/55). Which is smaller: -4 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = f - 13, -4*n - 22 = -3*f + 11. Calculate the highest common divisor of 21 and f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w**2 - w**2 + w**2)*(w + 0*w + 0*w)*((-2 + 3 + 2)*(-3*w + 0*w + 2*w) - 2*w - 3*w + w + w + 0 + 0).\nAnswer: -12*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-12467)\/822 + 16\/1. What is the nearest to -8\/7 in 3, 0, o, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -11326 and 1161?\nAnswer: -13149486","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 25*j**3\/2 + 2255*j**2\/2 - 908*j + 182 = 0.\nAnswer: -91, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00039064 to 4 decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -310 + 712. What is the tens digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 19193808 and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -321*f**2 - 122*f**2 + 146*f**2 - 791*f**2 - 607*f**2.\nAnswer: -1695*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 7902 = -3146. Let a = 3676 - b. What is a rounded to the nearest one thousand?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:51 AM and 5:35 PM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (32784\/(-54640))\/(2\/2)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the second derivative of -i**5\/20 + i**4\/12 - i**3\/6 + i**2\/2 + 19*i. Let g(u) = u**3 - 7*u**2 + 2*u - 3. What is -g(n) - 3*w(n)?\nAnswer: 2*n**3 + 4*n**2 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 189748 (base 13) to base 10.\nAnswer: 620797","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 1683438?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1823, 3649, 5475, 7301?\n\"Answer: 1826*b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -8*y + 1. Let u(s) = -15*s + 1. Calculate 6*u(h) - 11*x(h).\nAnswer: -2*h - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gvg when three letters picked without replacement from {s: 10, v: 6, g: 2}.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q + 2*j, -16*j - 12 = -12*j. Solve r - 4*w = -w - q, 0 = 4*r + 4*w - 20 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, 67, 23.01, -3\/2, -2\/5, 4 in ascending order.\nAnswer: -3\/2, -2\/5, 2\/3, 4, 23.01, 67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*x**3 - 66*x**4 + 66*x**4 + 15*x**5 + (3 - 5 + 0)*(3*x**5 + 4*x**5 - 5*x**5).\nAnswer: 11*x**5 + 2*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 4*n**2 + 2*n + 1. Let j be o(-1). Let i be (-27)\/(-2) - j\/6. What is the greatest common divisor of 39 and i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49425?\nAnswer: 3, 5, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 465661.52612 and -7?\nAnswer: 465668.52612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + 4*z + 22, -2*d - 2 = 3*z + 4. Solve 3*u = -5*r + d*r + 14, u - 2 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 0*z + z + 0*z. Let f(v) be the first derivative of -v**2\/2 + 59. Give f(a(k)).\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 2*d + 2*d**2 - 3*d - d**2 + 2*d. What is v(0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 6*c - 995. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 28914 and 2997102.\nAnswer: 474","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.5 (b) -9.9 (c) 3 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/8 of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.175 and -2541.41.\nAnswer: 444.74675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*p + 80*p + 104*p = 31*p. Factor 0*j - 6\/5*j**3 - 4\/5*j**4 + 2\/5*j**5 + p + 0*j**2.\nAnswer: 2*j**3*(j - 3)*(j + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - 61 = -3*g - 28, -k = 4*g - 6*k - 45 for g.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 96 and 13336032.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**3 + 7*w**2 + 6*w + 2. Let g be r(-6). Suppose -4*v = 16, 4*s - 4*v - 13 = 3. Factor -g*m**2 + s*m**4 + 2*m**4 + 0*m**4.\nAnswer: 2*m**2*(m - 1)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77*f**3 + 4*f - 172*f**3 - 9*f + 5*f + f**2.\nAnswer: -249*f**3 + f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -12*6*(-3)\/12. Suppose -5*d = 3*q - 681, -5*d + 6*q + 702 = 2*q. Suppose -12*f + z = -d. What is the remainder when 34 is divided by f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -115 - -31?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1 - 69*n**2 - 7 - 17 + 4 wrt n?\nAnswer: -138*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2566 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/(q*q*q**(-5\/7)))\/q*q)\/q**(-6\/11)*(q**(-5))**(-19))**(-2\/67) assuming q is positive.\nAnswer: q**(-14670\/5159)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes before 9:02 PM?\nAnswer: 6:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -27440 - -41208. What are the prime factors of o?\nAnswer: 2, 1721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -505 and -61846.\nAnswer: -62351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rp when two letters picked without replacement from {c: 3, k: 3, p: 1, r: 3}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = s + s - 4, 0 = -s - 5*f + 32. Let h = 5 + 1. What is the highest common factor of h and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -369 + 111. Let m(s) = -7*s**3 + 55*s**2 - 66*s + 14. Let g be m(6). Do c and g have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-4)\/(-6))\/(84\/(-63)))\/((-2)\/56).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*o**4 - 3 + 3 + 5*o**4 - 5*o**4 - 2*o**4 + (o**3 - o**3 + o**3)*(0 - o + 0) + 5*o + 2*o**4 - 5*o.\nAnswer: -5*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1169939 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 0*y = -3, 2*x + 3 = 5*y. Let l(q) = 206*q**2 - 17*q - 5. Let g be l(-3). Suppose -x*d + 2558 = -g. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*o**3 - 100*o**2 + 801*o?\nAnswer: 18*o - 200","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 323 is divided by 36.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 56944121784 plus 0.168?\nAnswer: 56944121784.168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 22, 4, -56, -182, -398, -728?\n\"Answer: -4*g**3 + 3*g**2 + g + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1230094123 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 12 (b) 0.08 (c) 0 (d) -3 (e) 0.1 (f) -37\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(50)*-2)\/(-4*sqrt(60)\/sqrt(6) + sqrt(10)).\nAnswer: -4*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 2*a**2 + 3*a + 2. Let s be x(-2). Let u(i) = 8*i + 3. Let m be u(s). Let o = -17 + m. What is the remainder when 53 is divided by o?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**3 + 8*c**2 + 9*c - 12. Let v be x(9). Let p be 42000\/(v\/(-8) + -1). What is p rounded to the nearest 10000?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 108 is divided by 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10*a**2 - 65*a**4 - 5516*a + 1156*a - 21*a**4 - 3*a**3 - 2203*a - 497*a wrt a.\nAnswer: -1032*a**2 - 18*a - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -5*x + 2. Let l be k(-1). Let c(a) = 3*a**2 - 7*a - 7. Let g be c(l). Let i = g - 41. Is i a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -2*g**3 - 2*g**2 - 2*g + 3. What is y(2)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the third derivative of -w**7\/2520 + 19*w**6\/720 - 3*w**5\/40 + w**4\/12 + 10*w**2. Let k(s) be the second derivative of q(s). Is k(13) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 - 14*n**2 + 12*n + 14. Let d be v(13). Put d, -7, 4, 0 in increasing order.\nAnswer: -7, 0, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 - 1014003?\nAnswer: -1014011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**2 + 4*t + 5. Let i be r(-2). Which is the nearest to i? (a) 0.3 (b) -5 (c) 1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 249 - 16?\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (50\/20)\/(1\/(-2)). Let d(a) = -a**2 + a - 1. Let p(q) = q**3 - 5*q**2 + 5*q - 3. Determine h*d(f) + p(f).\nAnswer: f**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14302 + (-1)\/3 + (-18)\/27 + -3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, 27 in ascending order.\nAnswer: -5, 1, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 28 = 3*f. Let l be -2*(2 + f\/(-2)). Suppose 0*o - l*o = -2*k - 142, 0 = -5*o + 5*k + 240. Is o a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69*i**3 - 2*i**2 + 181*i**3 + 0*i**2 - 92*i**3 - 72*i**3.\nAnswer: -52*i**3 - 2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 2*h + 5 = -h, 0 = 4*n - h - 7. Let b(m) = -3*m**2 + 8*m - 2*m**2 + 6*m**2 - n*m**2. Determine b(7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 1 - 2. Is (-1)\/(2\/86*u) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -128.25 + 128. Let k = -4.95 - -5. Let r = k + h. Which is the smallest value? (a) 3 (b) r (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -77 - -92. Let i be (-5)\/n - (-32)\/60. Suppose 4 = 2*j + 2*j. What is the closest to j in 2\/3, -2\/5, i?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -4*v + 25. Let b(f) = -f + 5. Let s(g) = -3*b(g) + t(g). Determine s(10).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 + 38 - 6 + 2*z to the form q*z + v and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -2*c**4\/9 + 8*c**2\/9 = 0.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/1563234 and 43\/63?\nAnswer: 32827914","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 23*t*x - 832*t + 2*x**4 + 6*x**2 + 4*x + 2 wrt x?\nAnswer: 23*t + 8*x**3 + 12*x + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 - -8. Let b(s) = s**3 - 4*s**2 - 7*s - 1. What is b(v)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 29250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 215, 869, 1947, 3437, 5327, 7605, 10259, 13277?\nAnswer: 16647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 27.3 from -0.1.\nAnswer: -27.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is (170350\/4 - (68 - 61))*(-8)\/(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 16793857*i**5 + 98*i - 27628.\nAnswer: 335877140*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the second derivative of -v**4\/12 - 4*v**3\/3 + 19*v**2\/2 - 5*v. Calculate the remainder when 54 is divided by o(-8).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 3 t when four letters picked without replacement from {t: 3, n: 1, u: 5, d: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -33552\/17 <= -1973?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7097481?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/5, 0, 1, -1.\nAnswer: -1, 0, 3\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 233200085?\nAnswer: 5, 37, 1260541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5480641 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4*u + u - 1280*u**2 + 1297*u**2)*(3*u - u - 4*u)*(-2*u**2 + 0*u**2 + 9*u**2).\nAnswer: -238*u**5 + 42*u**4 - 14*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = -8*c + 10. Let i(m) = 2*m - 12. Give i(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -31 (b) -1\/2 (c) 0.006 (d) -0.24 (e) -11 (f) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -158 + 183. Let q = -9 + 12. Suppose -q*r + 24 = 3*b - 8*r, 3*r + 9 = 0. Solve -2*i = b*i + y for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:06 AM and 10:40 AM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 13 + 32. Let a = -3.9519 - 0.0481. Is a equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4\/3 (b) -135\/28 (c) 146\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 932048517 to the nearest integer?\nAnswer: 977","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 - 16073351?\nAnswer: -16073350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**2 - 8*q + 3. Let t be 19\/1 + -6 + 9. Let j = t + -20. Suppose j*a = 5*s - 21, -3*s + 5*a - 2*a = -9. Determine k(s).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*g**4 + 2*g**4 + 3*g**4 + (-5*g**4 - 2*g**4 + 3*g**4)*(-6 + 4 + 1 - 1 + 3 + 0 + (-5 + 3 + 0)*(2 - 1 + 0) + 2 - 1 + 0 - 8 + 3 - 3).\nAnswer: 35*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-290 + 802 + 264)*(-h - h + h)*(-3 + 4 + 1)*(-2*h - h + 2*h).\nAnswer: 1552*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 + -559a680?\nAnswer: -559a67a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-23\/4)*q)\/(q*q\/((q**(-2\/9)\/q)\/q*q)) assuming q is positive.\nAnswer: q**(-251\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 + 3503560?\nAnswer: 3503556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.5862 times -1?\nAnswer: -2.5862","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -60 + 68 + 3 + -1.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 1422400 to the nearest 10000.\nAnswer: 1420000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 - 41.8?\nAnswer: -41.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 706374 is divided by 151.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**2 + 7*h - 4. Let d be v(-8). Suppose 0 = -2*p + p + d. Suppose 2*i - 5*x = 299, -p*i - x + 788 = i. List the prime factors of i.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the second derivative of 10*r**3\/3 + 59*r**2\/2 + 4*r - 3. What is the remainder when f(5) is divided by 54?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 10 - 2*(-2 + 3). Let i = b - -6. Suppose -1 = -4*l + 4*j + 7, -l - 4*j = 8. Solve l = y + 4, -3*f - 2*y = i for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 154 or -372?\nAnswer: -372","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5.07, -3\/5, -3, -0.11, 2 in decreasing order.\nAnswer: 5.07, 2, -0.11, -3\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*w**5\/15 - 202*w**4\/15 + 3524*w**3\/15 - 7948*w**2\/5 + 22974*w\/5 - 23814\/5 = 0. Calculate w.\nAnswer: 3, 7, 81","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 - 3. Suppose y*x - 37 = 57. What is the remainder when x is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - -12. Let t be 3 - (-9)\/i*-4. Suppose 2*n - 36 = -t*n. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 5*x - 27, l + 1 = 2*x - 11. Suppose 2*t = -2*t - 32. Let p = 11 + t. What is the smallest common multiple of p and x?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 5*g = 35, -5*f - 4*g + 271 = -5*g. Find the second derivative of 10*c + 17*c + f*c - 3*c**3 - 2*c**2 wrt c.\nAnswer: -18*c - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 8*l**2 - 2*l. Let g be m(1). Let s be (-115)\/(-351) + (-2)\/g. Let o = -4222\/1755 - s. Is o greater than -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -211 + 223 = 4*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 2*t + 3*t - 320 = 0, 5*h - 5*t + 395 = 0. Let w = -77 - h. Let l(i) be the second derivative of i**3\/6 - i**2\/2 - i. What is l(w)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4959 and 0.7.\nAnswer: -3471.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 25658887?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1087909 take away 14?\nAnswer: -1087923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -95724 - 35396233.\nAnswer: -35491957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w - h - 3*h + 11, 0 = 3*w - 5*h - 14. Solve -j - w = -5 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*d = -15*d + 2. Suppose -2*v - 26 = -4*v. Let x = d + v. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 3 - 7)*(-2*x + 5*x - 2*x) - x + 0*x - 2*x + (0 - 2 + 0)*(3*x + 2*x - 3*x) + x - x - x as u + q*x and give q.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -1752*j**3 - 5*j**2 + 246*j - 12. Let x(y) = y**3 - y**2 + y - 2. Let a(l) = c(l) - 6*x(l). Find the third derivative of a(t) wrt t.\nAnswer: -10548","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 91635.7 and 58.\nAnswer: 91693.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 17*(-26)\/(-2) - 1. Suppose -2*j = -0*j - c. What is j rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u + 37. Let v be t(6). Let k(r) = -2*r - 6. Let b be k(-3). Suppose b = j - 6*j + 465. Calculate the highest common divisor of v and j.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15905?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 252919 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/(-35) + 4\/(-10) - (-110900)\/(-38815)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((-3*(sqrt(7) + sqrt(700)*2 - sqrt(7)))**2 + 1 + -4*(0 + sqrt(448))**2*6)*4*4.\nAnswer: 1387104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 3) + -1 + -10 - -10?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -2*q - 7, 7*s = 2*s + 4*q + 5. Let g = -44 - -46. Let k(h) = -h**g - 4*h + 28 + 29 - 58. What is k(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(128)\/(sqrt(24)\/sqrt(3)))\/(5*sqrt(200)).\nAnswer: sqrt(2)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -20368 (base 10) in base 16?\nAnswer: -4f90","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + 7. Suppose -h*c + 5 - 8 = -2*a, -3*c = -5*a + 17. Let l be (0 + -1 - 9)\/(-5 + 3). Solve -b + 17 = a*j, -l*j - 2 = -b - 6*j for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 + 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, n: 5, j: 4}. What is prob of sequence nff?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 28 (base 11) to base 5\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (11 + -14) - -1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 177 divide 29713875?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4055 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the first derivative of 35*n**6\/16 - 181*n**5\/20 + 133*n**4\/32 + 7*n**3\/6 - 3*n**2\/4 + 183. Let w(i) = 0. What is i?\nAnswer: -2\/7, 0, 1\/3, 2\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m**2 + 15*m - 15*m)*(-3*m + 2*m**3 + 2*m**2 + 3*m).\nAnswer: 2*m**5 + 2*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 23149 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6205 rounded to one decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 35019175 or 35019174?\nAnswer: 35019175","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -114 + 113.9. What is the nearest to z in -1\/10, 11, 0?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from obobboobobbobo. Give prob of picking 4 b.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 9 - (-4 - (-13 + 4))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.6 + -1.5. Put 0.3, 5, -5, u in descending order.\nAnswer: 5, 0.3, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19 (base 15) to base 10.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the second derivative of -u**10\/90720 + u**9\/22680 - u**8\/20160 + u**4\/4 + 3*u. Let v(b) be the third derivative of f(b). Find t such that v(t) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -693228 times 2\nAnswer: -1386456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**3 + 2*h**2 - 2. Let y be w(5). Does 8 divide (-24)\/(-40) + y\/(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 202814694?\nAnswer: 2, 3, 11267483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(7\/5)*k*k*(k*k**16)\/k*k*k*k**(-2\/3)*k**(-11\/3))**(-18) assuming k is positive.\nAnswer: k**(-1536\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8505*q**4 + 290*q**2?\nAnswer: -204120*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45 - 19 - 26 + 4*k**3 + 6*k**3.\nAnswer: 10*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 286 + -287.4. Which is the fourth biggest value? (a) 0 (b) -0.1 (c) 2 (d) r\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11\/65551045 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 5*-4335.53\nAnswer: -21677.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -7*q**3 + 6*q**2 + 30*q + 1. Let x(u) = 13*u**3 - 11*u**2 - 60*u - 2. Determine -6*x(w) - 11*z(w).\nAnswer: -w**3 + 30*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mbdbnunbuu. What is prob of picking 2 u, 1 m, and 1 n?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16951531 and 1834.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lhbrrlarbwbhlhr. Give prob of sequence rlwr.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**3 + 10*y**2 - 5*y - 4. List the prime factors of f(9).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:29 AM and 12:01 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 23.957 + 2.9161019\nAnswer: 26.8731019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -32ef (base 16) to base 7\nAnswer: -53005","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1539) + -3 + 1 + sqrt(1539) + -3*(-1 + sqrt(19)*-1)**2 + -3.\nAnswer: -65 + 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 4755936 divided by -1\nAnswer: -4755936","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -623*c**2*w + 709*c**2 - 14*c + 247360927*w wrt c?\nAnswer: -1246*c*w + 1418*c - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + p = 115, 4*t - t + 3*p = 57. Suppose -4*l - t = -7*l. Let s be 11 + -2*(-4)\/l. Solve 5*y - 2*y = s for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - 4*v - 6. Let c be (1 - (-104)\/(-8)) + 8. What is the closest to 0.1 in -1, c, v?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 4*c = -20. Let z(f) = -5*f - f + c*f. Let g(o) = -o. Determine z(g(b)).\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -243932 - -465475. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -6\/912275 and 31\/8020.\nAnswer: 3649100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - r + 32 = 0, -2*p + 2*r = -3*r + 22. Let k = p + 8. Solve 0 = -0*a + k*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1216 and 7156.\nAnswer: 2175424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (36\/(-21))\/(2\/(-7)). Let p be b\/((-2)\/1 - -4). What is the lowest common multiple of ((-14)\/(-6))\/(4\/p)*8 and 18?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 51 + -257\/5. Is 10\/9 < w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -359, -288, -217, -146, -75?\n\"Answer: 71*l - 430","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6442, -6443, -6444?\nAnswer: -6445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 4*i**3 - 1400*i**2 - 4*i + 1400 = 0.\nAnswer: -1, 1, 350","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*g**2 + 3*g - 5*g**2 - 3*g**2 + 2*g**4 - 3 + 2*g**3 in the form y*g + k + t*g**4 + i*g**3 + d*g**2 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**2 + 24*r + 129. What is v(-16)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 9, x: 3}. Give prob of sequence xee.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*x - 63*x = 445*x - 1731. Solve -24 = -3*r - x*g, 9*r - 5*r = 2*g + 14 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34231*a**2 - 50*a + 34231*a**2 - a**3.\nAnswer: -a**3 - 50*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((0\/4)\/((-2)\/(-1)))\/2)\/1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -616*g**2 + 217*g**2 - 3*g + 6*g - 3*g.\nAnswer: -399*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6562?\nAnswer: 2, 17, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes before 6:57 AM?\nAnswer: 7:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -2*b**2. Let g(o) be the second derivative of -o**3\/2 + 6*o. What is u(g(p))?\nAnswer: -18*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.202 less than -5156.8?\nAnswer: -5156.598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uaaa when four letters picked without replacement from iiaaiuiaiiauaiuiiui?\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-33)\/(-12))\/11 - 2073\/7812 and -53\/372.\nAnswer: 2604","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one tenth of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 1105?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1420.\nAnswer: 2, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 115*b**3 - 115*b**3 - b**4 - 2 - 4*b**4 + b to d*b + h*b**3 + w + f*b**2 + j*b**4 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 85350 and 85350.\nAnswer: 85350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -219, -801, -1781, -3159, -4935, -7109, -9681?\nAnswer: -12651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15 + -17. Which is smaller: -4 or u?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (64\/(-80))\/(((-696)\/10)\/(-6)).\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -211a (base 11) in base 4?\nAnswer: -223310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10861880 to the nearest integer?\nAnswer: 3296","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 6\/21 - 52\/168*16 and -25\/24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 - 20220111?\nAnswer: -20220022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2001046 and 0.06.\nAnswer: 2001046.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 7*a + 32 = -11*a, -20 = 3*l + 2*a for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 36739819565 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8609511 millennia in years?\nAnswer: 860.9511","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7604 + 7617. Solve -4*c = -x + 1 - 15, 3*c - t = 2*x for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1241\/18 - 139\/2. Let r = -1247331\/215 + 28917\/5. Let t = 3881\/387 + r. What is the common denominator of t and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5513?\nAnswer: 37, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.2 - 0.8. Which is the third biggest value? (a) o (b) 5 (c) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-5\/8)\/(g**(11\/3)\/g) assuming g is positive.\nAnswer: g**(-79\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*x**2 + 8*x - 20*x**2 + 29*x**2 to the form s*x + y*x**2 + p and give y.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -1\/17 (b) 4 (c) 1 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3220\/575)\/((-6)\/(-15)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 657?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -567 - -576. Suppose -x*p = -4582 - 251. What are the prime factors of p?\nAnswer: 3, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*r + 5 + 34*r + 6*r - 5.\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 445883285?\nAnswer: 5, 647, 137831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 440*y**4 - 2 - 2*y**3 + y**3 - 17*y**2 - 217*y**4 - 221*y**4 + 2*y + 5*y**2 to i + w*y**4 + a*y**3 + c*y + f*y**2 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 51578421754 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 divided by -299648?\nAnswer: -9\/299648","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the first derivative of 73*o**2 + o - 16. Let r be d(1). Suppose -u = 4*y - r, 0*y - 32 = -y - 5*u. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the first derivative of -13*j**3\/3 + 3*j**2\/2 + 3*j - 2479. Let m(n) = -25*n**2 + 5*n + 5. Determine -3*m(y) + 5*w(y).\nAnswer: 10*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-92)\/28 + (-2)\/(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g + 2*g - g)*(9 - 17 - 12)*(18*g**3 - 4*g**3 + 35*g**3).\nAnswer: 2940*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are -573\/13 and -44 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (23 - 518\/28)\/(27\/(-18)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1758393 is divided by 1758389?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes after 10:43 PM?\nAnswer: 7:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 0*y = 3780. Suppose -5*q - 3*b = -148 - y, 0 = -5*b - 20. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 637\/7 - (-170 - -56)\/6?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 44*x + 40*x - 81*x + 53 - 22*x**2 wrt x?\nAnswer: -44*x + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - (-3 - 1)) + 1?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u*u*u*u\/(((u*u**(-23)\/u*u)\/u)\/u*u*u*u)*u*u*u\/u**(1\/8)*u**(-17)\/(u**(-3)\/u*u))**39 assuming u is positive.\nAnswer: u**(4641\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 108046417 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -13 in -2\/19, 4, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5213 + -423?\nAnswer: 4460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 1*(-5 + 2*sqrt(192)))**2.\nAnswer: -192*sqrt(3) + 804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 323?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from krkkrrrkrkkkkkkkkkkk.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 5*n - 342. Suppose -f + 5*h = 2*f - n, -h = -3*f + 55. What is the greatest common factor of 34 and f?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2496 and 104637?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-z - 7*z + 2*z)*(-z + 4*z + 2*z)*(0 + 0 - z) in the form q*z**2 + x + v*z**3 + t*z and give v.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 2*x + 24 = 3, -3 = -2*i + 5*x. Calculate the highest common factor of i and 144.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 7*i - 4)*(-i + 2*i + 2*i)*(-1 + 2 + 1).\nAnswer: 42*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2149*w + 194219*w**2 - 136*w - 194936*w**2 wrt w.\nAnswer: -1434","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82 is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-7)\/((-49)\/91) + -13. Sort y, -5.1, -2\/5.\nAnswer: -5.1, -2\/5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(6*3*(sqrt(112) - (-1 + sqrt(112))) - ((sqrt(567) + 1)*3 + -1))**2.\nAnswer: -2592*sqrt(7) + 16077","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*a - 4 - 9*a + 6 - 5*a.\nAnswer: -32*a + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3\/23549 or 0?\nAnswer: 3\/23549","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 8 = 76. Suppose w = 5*l - 46. Suppose -5*y - l = -2*q, -4*y - 2*q = 3*q - 7. Let k(a) = -3*a - 1. Determine k(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 + 6*q**2 - 4*q + 30. What is k(7)?\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 0*c - 10 = 2*y, 0 = 3*c - 4*y + 6. Let m(a) = -a**2 - 5*a - 3. What is m(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22 - (15 + -30)) + (10 - (0 - -5) - -69).\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add 1584340 and -349.\nAnswer: 1583991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*j**2 + 11*j**2 + 3*j**2)*(-2 + 1 + 0).\nAnswer: -25*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -14.58 and 0.156082.\nAnswer: -2.27567556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 520988 to the power of 1\/3, to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 2*t**4\/3 + 8102*t**3 - 24318*t**2 - 72918*t + 218808 = 0.\nAnswer: -12156, -3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6412671, 25650709, 57714105, 102602859, 160316971, 230856441, 314221269?\nAnswer: 410411455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 r, 1 w, and 1 d when four letters picked without replacement from wraoadp?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12984428 to the nearest integer?\nAnswer: 3603","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 816649.3 centimeters to kilometers.\nAnswer: 8.166493","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 491*i - 978*i - 2*i**2 - 7 + 8*i**2 + 487*i.\nAnswer: 6*i**2 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -363\/4 + 273\/4. Find the common denominator of k and 91\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 441 and 1125?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 62578762 divided by -62578762\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17664106?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 2*g - 45 + 5 = 0, -3*u + 43 = 5*g. Which is greater: u or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8798)\/583 - (-18 - -3)) + 94\/(-176)?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -49, -5, -2, -4 in decreasing order.\nAnswer: -2, -4, -5, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 i when two letters picked without replacement from cicwicwcccxiic.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(3*-4)*((-1224)\/132)\/17.\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**2 - 502*l - 6311. Give p(-13).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the first derivative of -f**3 + 1. Let t(k) = 4*k. Determine t(b(a)).\nAnswer: -12*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -561*r - 5055*r + 336960 for r.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes after 4:54 PM?\nAnswer: 3:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 112 = -3*w, -9*j = -12*j - 3. Let v be 80\/(-760) - 384\/w. Solve h - 5 = -v for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -3*z + 5. Let k be z\/6*4*-3. Solve 3*i - k = 13 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 3 - 5)*(1 - f - 1) + f + 1 - 1 + 4*f + f - 3*f + (-1 + 2 + 1)*(-7 + 4*f + 7) to k + b*f and give b.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 22113 to the power of 1\/3, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -2*h - 15, -3*h = 2*h - 2*m + 52. Let n be -2 + 2*(-12)\/h. Solve 2\/5*t**2 + 1\/5*t**3 - 1\/5*t - n = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -3*z**2 + 5*z - 7. What is t(5)?\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from {t: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t + 4*g - 3, 5*g + 6 = -9. Suppose -5*s + 3*s + 10 = 0. Let b be (24\/(-60))\/((-1)\/s). Solve -2 = -2*r - t*a, b*r = r - a - 1 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -141*l - 4 + 138*l + 16 to u + z*l and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -2*i + 2, -5*i - 10 = 9*n - 4*n. Suppose -n*h + 31 + 29 = 0. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.9607 + 0.0393. Sort m, 1, 2\/85 in descending order.\nAnswer: m, 1, 2\/85","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -12, 14894, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q + 4 - 2 + q)*(-1 + 2 + 2)*(-2 + 0 - 1).\nAnswer: -9*q - 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -2*h**3 - 2. Let n(q) = -3*q**3 - 2. Let f be (-1064)\/(-1197)*(-9)\/(-2). Determine f*t(w) - 5*n(w).\nAnswer: 7*w**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the first derivative of -11\/2*i**2 - 9*i + 1 - 1\/3*i**3. Calculate the lowest common multiple of 7 and v(-10).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 95*r + 415. What is o(-5)?\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13*f**4 - 7*f**4 - f**2 - 6*f**2 - 5*f**4 wrt f?\nAnswer: -600*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75939071 a multiple of 5181?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -79 - 86. What is the units digit of (x\/(-2))\/(12\/(-96))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 8*z - 2. Let o be f(4). Suppose -5*d = -15, o = 2*t + d + 3*d. Let v = -7 + t. 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 (1\/((450\/(-25))\/(-18)))\/(((-8)\/26)\/4)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6 * 3.9.\nAnswer: 23.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + j + 2 = 4, -4*s - j = -23. Suppose 4*c + 3 = s*c. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-1328)\/(-1162))\/((-3)\/(-64953))?\nAnswer: 2, 3, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-8 + 1640\/220)\/((-2)\/11). Solve -k*i + 18 = 3*m, -2*i - 25*m = -28*m + 13 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41266?\nAnswer: 2, 47, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*n + 4*n + 4*n - 3*n to w*n + i and give w.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -28370 + 66018. What is the ten thousands digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -95 + 94.8. Suppose 5*j = 3*y - 3 - 18, -2*j + 5*y + 3 = 0. Let c be 4\/j + (-39)\/9. What is the closest to 3\/7 in c, -4, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4590 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 175012 is divided by 355.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p + 1997 + 5529 - 2078 + 4905.\nAnswer: p + 10353","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1067, -2133, -3199, -4265, -5331?\n\"Answer: -1066*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 24\/577 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -329*w = -281*w - 284*w - 236 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31 - (24 + -38) - (1 - -18).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (-7 + -1 - 0 - 37343\/(-2889)).\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6109.4 - 6110. Let o = -0.2 - -0.3. Put o, 4, g in decreasing order.\nAnswer: 4, o, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7481?\nAnswer: 7481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 198275 and 206.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in three fifths of a milligram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n - 11*n + 377. Solve 4*r - n + 9 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -3*v - 12. Calculate s(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -46\/167 + -5167\/3674. Let n = 2591 - 20763\/8. Calculate the common denominator of d and n.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2408 a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 299 divide 1548394822?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1*4 - (-1 + -7). Let w = 59 - 67. Let m = w - -10. Sort 0, b, m in decreasing order.\nAnswer: b, m, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (160\/60)\/((-1)\/(-3)). Find the second derivative of j*n**5 + 66*n**5 - 90*n + 23*n**5 + 26*n**5 - 69*n wrt n.\nAnswer: 2460*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4058*m**5 + m**2 - 2014.\nAnswer: 243480*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3022 - -88?\nAnswer: 30aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 - (-2 - -1)) + 8. Let k = 78 + 300. Suppose s - k = -5*s. Calculate the highest common factor of s and r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11.9 + -12.2. Suppose 10*m + 0*m - 1050 = 0. Let q = m - 102. Which is the nearest to j? (a) 0 (b) 0.3 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 44 - 49. Let y = 2.5 - 4. Let w = y + -0.5. Which is the third biggest value? (a) 0.1 (b) g (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 379070669 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7076759436?\nAnswer: 2, 3, 277, 709663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (67 + (-1261)\/388)\/((-6)\/(-8))?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 733 divided by -244600?\nAnswer: -733\/244600","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 - 4. Suppose 0 = -2*r + n - 11, -2*r - n - 1 = -0*r. What is the nearest to 1 in b, r, 4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-25)\/(-6) - 3\/18. Suppose 4*d = -d + 4*i + 77, -u*d = -2*i - 64. List the prime factors of d.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 488824 and 1189.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14 + 7. Let g = v + 5. Let y = -2.8 + -0.2. Sort -0.3, g, y in descending order.\nAnswer: -0.3, g, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 1.95 and -15376643677.\nAnswer: -15376643675.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -k**5 - k**5 + k**5 + (5*k - 28*k + 2*k)*(-23943*k + 435*k**4 + 23943*k).\nAnswer: -9136*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 + (10 - 6\/3). Let d = -2 + y. Solve 4*o = d*g - 4 + 12, -3*g - 20 = 4*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 + -1)*-2*-2. Let b(o) = 14*o + 0 - 16 + 7 - 6*o + 24 - 7*o. Give b(z).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 384 and 544?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l + 6 + 9. Let u be (40\/l + -2)*(-54)\/(-4). Let b(s) = -11 - 3 + 9*s**2 + 2 + 2*s + 4*s**3 - 5*s**3. What is b(u)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3 + 161\/21)*-63. Let l = 312 + q. Let u = 36 + -26. What is the remainder when l is divided by u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t. Let g(x) = x**2 - 5. Let f(j) = g(j) + 4*o(j). Determine f(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.18 + -0.17999982. What is x rounded to 7 dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5\/3, -0.13 in ascending order.\nAnswer: -5\/3, -0.13, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1, 13, 39, 83, 151, 249?\nAnswer: 383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -302 - -11423?\nAnswer: 11121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3304\/480 - 4 - 4 and 65\/12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -5682978 and 91.2?\nAnswer: 5683069.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(56)\/(-1*sqrt(8)) + (1 + sqrt(700) - sqrt(700) - -4*(sqrt(175))**2).\nAnswer: 4*sqrt(7) + 701","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 125 divide 1994740250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3385 - 1254. What is the thousands digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -76 + 952*b + 7*b**2 + 146 - 954*b - 67 - 42*b**4 - b**3 as h*b**2 + k + i*b**4 + f*b**3 + t*b and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 484.9596 weeks to minutes.\nAnswer: 4888392.768","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**3 - 9*x**2 + 36*x + 3. Let v(i) = -i**2 + 2*i - 4. What is -c(k) + 8*v(k)?\nAnswer: -k**3 + k**2 - 20*k - 35","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 75 + -48. Let o be ((-193703)\/(-4))\/(s\/6). Let l = o + -10765. Find the common denominator of -15\/2 and l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7332 divided by -12\nAnswer: -611","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 347, -0.3, 2 in descending order.\nAnswer: 347, 2, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 15*b - 12*b + 5*v - 8, 5*v = 2*b + 3 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -21*g + 27. Let x be w(13). Let o = -148 - x. Let q = o + -52. Calculate the greatest common divisor of q and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 6034 + -72?\nAnswer: 5742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94160 is divided by 1345?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-14)*2*-5*(-266)\/(-190).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 3) in base 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 13286, 13271, 13254, 13235, 13214, 13191?\n\"Answer: -u**2 - 12*u + 13299","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v + 4. Let o = -114 - -237. Let f = 127 - o. Suppose -f*w = 4*m - 20, 2*m + 2*m = -5*w + 26. Calculate z(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -5013*h - 8010782. Determine z(-1598).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2486289)\/(-148) + (-6)\/(-8). Let b be ((-10)\/(-8))\/(0 - (-6)\/q). Round b to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in -0.8, 1\/1043, -0.063?\nAnswer: 1\/1043","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 69*u + 340 + 281 for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -74*y. Let i(g) = 112*g**2 - 9*g + 2. Give i(o(p)).\nAnswer: 613312*p**2 + 666*p + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b + b + 20. Let z be 1\/b - (-2)\/8. Suppose 4*p + 18 = 3*d, d + p + 1 = -z*d. Solve 2*m = -3*g + m - 4, d*g = -5*m - 20 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -2*w**2 + 7*w + 40. Let i be f(-3). Put i, -5\/6, -4 in descending order.\nAnswer: i, -5\/6, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -5, 0, -2\/9, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gnjjnjnggngnwgxrng. Give prob of sequence rwj.\nAnswer: 1\/1632","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a + 5*d - 30, 5*d = -a - 2*a + 22. Put 1, 5, a in ascending order.\nAnswer: 1, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.9 - 3. Let z = -1117 - -306. Let f = z + 787. Is l less than or equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(288)*3 + 1 - (sqrt(288) - (sqrt(288)*3 - sqrt(288)))*3)**2.\nAnswer: 144*sqrt(2) + 10369","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 715*v**2 - 1159*v + 2992*v + 3628*v - 711*v**2 + 700*v to the form w*v + u*v**2 + n and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*n + 3480 + 2344 = 41*n + 61*n for n.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.8 + 2. Let c = -38 - -52.2. Let r = -10.2 + c. Sort 1, y, r in increasing order.\nAnswer: y, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*(c*c**(-6))\/c)**(8\/9)\/((c\/(c\/(((c**(-5\/8)*c*c)\/c*c)\/c)))\/(c**(-21)*c)) assuming c is positive.\nAnswer: c**(-1787\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**2. Let h be (4 - (1 + 0))\/(45\/30). Let c(b) = 3*b**h - 2*b**2 - b**2 - 5*b**2. Calculate c(f(x)).\nAnswer: -5*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 + -7. Which is smaller: -2\/13 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes after 2:17 AM?\nAnswer: 7:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -2*j. Let r(w) be the first derivative of 5*w**4\/24 + 3*w**2\/2 + 1. Let u(d) be the second derivative of r(d). Calculate u(i(k)).\nAnswer: -10*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c + 2*c + 5*l - 11, 2*l = 6. Let f be (-1 + c)*133319685\/15. Suppose -19*x - f = -155187979. What is x rounded to the nearest one million?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -24487 - 4780?\nAnswer: -30377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*(t*t**(-3\/8))\/t*t*t**(-3))\/(t**(-5)\/(t*t**(2\/3))))**(-2\/29) assuming t is positive.\nAnswer: t**(-127\/348)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(28) + sqrt(196)\/sqrt(7))*-5 + sqrt(28))\/(sqrt(32)\/sqrt(2)) + 1.\nAnswer: -9*sqrt(7)\/2 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -4*h**2 + 3*h + 3. Let b(q) = -15*q**2 + 11*q + 11. Let n(d) = -6*b(d) + 22*g(d). Let s = 72 + -61. Let c(l) = 6 + 5 - s + 8*l. Give c(n(a)).\nAnswer: 16*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 116628.\nAnswer: 2, 3, 9719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*911.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 154901, 309758, 464615, 619472, 774329, 929186?\n\"Answer: 154857*q + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*i + 155 = -i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes after 3:12 PM?\nAnswer: 7:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 485 + j**2 - 2*j**2 - 485 - 2*j**2.\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20123 - -122001?\nAnswer: 202130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 826?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by -22860.\nAnswer: 1\/3810","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d\/(d\/((d\/(d*(d\/d**(-2))\/d*d))\/d))*d)**(-3\/35)*d*d**(2\/7)*d\/d**(-3\/4)*d assuming d is positive.\nAnswer: d**(589\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the second derivative of -n**3\/3 - 3*n. Let b(l) = 2*l**2 + 5 - 2 - 3. What is g(b(d))?\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -217 times 0.1\nAnswer: -21.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 8008 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -149\/802620 and 52\/45?\nAnswer: 802620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - -13. Let r(o) = 9*o - 75. Let n(b) = -4*b + 37. Let x(w) = m*n(w) + 6*r(w). Let f be x(-16). Is f > -14\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1320 and 13 - ((-1 - -6) + 0)?\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (45\/264)\/(1\/12) and (-134)\/60*9\/3.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 735111 - -1222?\nAnswer: 736333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -5, -0.04, 12, 1?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 7*y - 17. Let w(r) = -5*r + 16. Let h(o) = 2*c(o) + 3*w(o). Let j be h(9). Solve -3*q - 4*m = -j*q - 20, -m = -3 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15661 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 353.48334 - -12.52665. Let m = a + -366. Let p = m + -0.01. Round p to 4 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 6 = 2*y, -90*y + 94*y + d = 13 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**2 - 11*q - 10. Let o be b(-1). Solve -n + 12 = -4*l, o*l + 4*l + 12 = -2*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 71 = -3*z + 6*z, -79 = -2*z - 5*v. Suppose 23 = -39*b + 40*b + 3*d, -d = -4*b + z. Solve -b - 20 = -7*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*d + 7*d + 11*d - 31*d + 4*d - 97 to the form x + i*d and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 47303 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 286663*n - 35056*n**3 - 286663*n.\nAnswer: -35056*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -12 - (-7 - (-2 + 1))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1624741 - 1624741 - 65*x**3.\nAnswer: -65*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -22764, -10\/21, 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than -2\/653?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0003616064 rounded to 4 decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/7 (b) 1873425 (c) 0.1 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/21 and 29\/5298.\nAnswer: 37086","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(363) - 2*sqrt(363)))\/(sqrt(704)*2))\/((sqrt(243)*3 - sqrt(243)) + sqrt(75)*-5) + 2 + 5.\nAnswer: sqrt(11)\/112 + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 - -16. Is 9 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4\/(-6))\/(2\/(-6)). Let j(c) = -c**2 + 9*c - 8. Let b be j(7). Suppose 4*d - k*d = -b. Sort -5, d, 0.\nAnswer: -5, d, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 244.4753 centuries in years?\nAnswer: 24447.53","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6330456 and 504?\nAnswer: 44313192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*v - 4*v + 6*v + (1 + 0 - 2)*(-v - 1 + 1) - 2*v - 2 + 2.\nAnswer: 4*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/50 of a centimeter?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1346 a factor of 113649510?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1.8, -1\/2, -14?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/4 + 18\/4. Suppose -q*d - 4 = -0. Let a be 1 + 0 + 1*-1. Which is greater: d or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -106 - -57. Let a(f) = -f**3 - f**2 - f + 3. Let v be a(0). Let i = v + y. Calculate the common denominator of -91\/2 and i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/216 and 49\/41256.\nAnswer: 41256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21612574 to the nearest integer?\nAnswer: 4649","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2454, 2511, 2568, 2625, 2682?\nAnswer: 2739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6\/(90\/(-5))*-1347?\nAnswer: 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 236652 is divided by 243.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**3\/7 + 1164*p**2\/7 + 1192*p\/7 - 7008\/7.\nAnswer: -4*(p - 292)*(p - 2)*(p + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.378355um to meters.\nAnswer: 0.000003378355","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 6 = -2, -2*x + 5*w = 18. Let g = 3 - x. Let l(h) = -2 + 2 + 1 + 2*h - 1. Calculate l(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (1 - -27) + 21\/7 is divided by 0 - 44\/(-77) - (-87)\/7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 39896.03 - 39644. Let t = 256 - r. Let x = 0.03 + t. Which is the nearest to -1? (a) x (b) -0.1 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11720867 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:08 AM and 11:18 AM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*n**3 + 1492*n + 3291.\nAnswer: -6*n**2 + 1492","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -207*w*x**3 - 13*x**3 + 18 wrt w?\nAnswer: -207*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 23 + 7\/(13 - 6) + -7. Solve h*v - 15 = 22*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -79 + 76. Let c = 0.324 - -0.076. Put -4, u, c, 1\/5 in decreasing order.\nAnswer: c, 1\/5, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0016393884775 rounded to 6 dps?\nAnswer: 0.001639","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and -0.2133.\nAnswer: 0.08532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -2*z + 20. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2865803127826 + -31.1?\nAnswer: 2865803127794.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -23.1147 minus 0.03443?\nAnswer: -23.14913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 m when two letters picked without replacement from {m: 7, x: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/4 != -659842608?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:44 AM and 3:17 PM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 21034 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 423616 is divided by 141201?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 124 = -5*m + 3*k, -4*m - 2308 = m - 50*k - 398 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -44*q + 26. What is a(1)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**3 - 7*c**2 - c + 3. Let d(z) = z**3 + 8*z**2 + z - 2. Let b(s) = -3*d(s) - 4*l(s). Factor b(h).\nAnswer: (h - 1)*(h + 2)*(h + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -263619 + 257514.77. Let r = 6183 + h. Let k = r - 79. What is k rounded to two decimal places?\nAnswer: -0.23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/764949 and 68\/1431.\nAnswer: 6884541","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2982278251 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -3*n - 8. Suppose 0 = 5*w + 3*o - 0*o + 45, -2*o + 8 = -3*w. What is the units digit of f(w)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 305249 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**2 + 54*y - 7. Determine v(54).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 264029235 to the nearest integer?\nAnswer: 16249","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -317.8022 rounded to one decimal place?\nAnswer: -317.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/3 (b) 6\/13 (c) -0.1 (d) -3\/5 (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -25451011 (base 7) to base 3\nAnswer: -11100121110121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 0 (b) -0.5 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5597286 + 0.054.\nAnswer: 5597286.054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1060 less than or equal to 1058?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.97947363 plus -16?\nAnswer: -14.02052637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than -3\/1792?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.46 - 0.72. Let a = 509324 + -509325.1800083. Let g = d - a. Round g to 6 dps.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17 + -16.9. Sort 0, -1\/3, -0.3, q.\nAnswer: -1\/3, -0.3, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -1884*g - 13278. Give m(-7).\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n - 16 - 44. What is the remainder when 43 is divided by n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46146 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -20*y + 6*y**2 + 26*y + 51 - 38. Does 17 divide w(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.252 and -0.75.\nAnswer: -0.189","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1249, 1392, 1535, 1678, 1821?\nAnswer: 1964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u**2 - u**2 + 2*u**2)*(-1 + 3 - 1)*(-29 - 41 + 2)*(-56*u - 2 + 31*u + 26*u).\nAnswer: 68*u**3 - 136*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 132 = -12*o + 14*o. What is the tens digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3232 (base 4) to base 12.\nAnswer: -17a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the second derivative of -i**3\/6 - 17*i. Let u be s(0). Let t be (-1)\/(-2)*(-2 + 22 - u). Solve r = -r + t for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 30*g - 57. Let m be s(-8). Let p = m - -3863\/13. Sort p, 1\/7, -2\/3, -2 in decreasing order.\nAnswer: p, 1\/7, -2\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83697 <= 83751?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -254 (base 10) to base 13.\nAnswer: -167","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9006841.\nAnswer: 331, 27211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hllhhh. Give prob of sequence hl.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 458\/219 or 3?\nAnswer: 458\/219","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnnb when four letters picked without replacement from bnnnbnn.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-5 + 3*(sqrt(325) + 1)))**2*5.\nAnswer: -300*sqrt(13) + 14645","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10 + -5324?\nAnswer: -5314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.04 (b) 1\/6 (c) 3\/13 (d) 5 (e) 0.2 (f) -7 (g) -180\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-7\/5)\/c)\/(c*c**(-12))*c\/(c*c*c**2*c)*c**(-1)\/c*c assuming c is positive.\nAnswer: c**(18\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a micrometer in nanometers?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -69592 or -69596?\nAnswer: -69592","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes before 12:58 PM?\nAnswer: 9:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-22)\/(-18) + -1 - (-26)\/(-36)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73 - 372*v**2 + 89*v**2 - 39*v**3 + 93*v**2 + 94*v**2 + 95*v**2.\nAnswer: -39*v**3 - v**2 + 73","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 278\/2971 + -106119099\/41594. Let y = b - -2550. Calculate the common denominator of 31\/22 and y.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the second derivative of -22\/39*z**3 + 21\/13*z**2 + z - 24 + 5\/78*z**4. Factor m(a).\nAnswer: 2*(a - 3)*(5*a - 7)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 247 - 218 = -3*f, -13 = 4*f - 3*d for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**3 + 12*v**2 - 6*v - 14. Suppose -3*j = 2*b - 35, j - 31 = -4*b + 14. Let q be t(b). List the prime factors of (q\/(-15))\/((-6)\/20).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 507*l**5 + 7*l**4 - 2008*l**2 + 213*l + 181107?\nAnswer: 10140*l**3 + 84*l**2 - 4016","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -113*h + 108*h + 3*w = 26, 3*h + 6 = -3*w for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4548 is divided by 151.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*a + a - 123 + 5*a - 4*a.\nAnswer: 2*a - 123","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 55250 (base 7) in base 6?\nAnswer: 144045","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/6 + (-100)\/6. Let b be (-15)\/10*w\/18. Let p(x) = 9*x + 2. Let a be p(0). Which is greater: a or b?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 540205960 to the power of 1\/2, to the nearest integer?\nAnswer: 23242","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 263 * 0.44\nAnswer: 115.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (1 - (0 + -7)) + -9 - -11\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -341 and -0.1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 322, 7\/2, -0.65, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -181788*m**3 + 363552*m**3 - 181771*m**3.\nAnswer: -7*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 343\/1926 + -11\/963. What is the nearest to 0.1 in t, 8\/7, -1, -4\/5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 107 a factor of 6035516?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-1\/7)*m**(3\/11)\/m*m*m**(-1\/14)\/m*m**(2\/7))**(-31))**(-6\/7) assuming m is positive.\nAnswer: m**(-9393\/539)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyyyyyyyy. What is prob of picking 3 y?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssssss. What is prob of picking 3 s?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -14*l**3 - l**2 - 2*l - 1. What is r(-1)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2, -0.13, 1\/6, -0.3?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 divided by -10137658.\nAnswer: -6\/5068829","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 8 = -4*b, 11*l - 203*b + 64 = -200*b for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1012.505215 rounded to the nearest ten?\nAnswer: -1010","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -103 + 153. What is the remainder when y is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -13*f**2 + f + 1. Let n be ((-4)\/(-6) + (-3)\/9)*-3. Calculate w(n).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -153.496 times 0.186\nAnswer: -28.550256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:56 AM and 2:52 AM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*x + 8. Solve a - 1 = p, a = -2*p - 3 - x for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -137*x**2 - 30*x + 28. What is h(1)?\nAnswer: -139","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24 and 1230?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -808597 or -808579?\nAnswer: -808597","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5210243 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 5 - 20 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 168 and 609.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2731707 divided by 910569?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.148 and 76.\nAnswer: 75.852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 103 + -7. Suppose -4*d - 134 = -2*c + v, d = -3*c + 331. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 396894?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 96, 481, 1400, 3081, 5752, 9641?\n\"Answer: 38*x**3 + 39*x**2 + 2*x + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**4\/3 - 778*r**3\/3 + 150541*r**2\/3 + 101140*r + 50700.\nAnswer: (r - 390)**2*(r + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 33, -5 in decreasing order.\nAnswer: 33, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -1088*n - 872. Let t(r) = -121*r - 97. Let f(k) = 28*t(k) - 3*w(k). What is the first derivative of f(s) wrt s?\nAnswer: -124","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-10)\/12*(-6)\/(-20). Let o = -0.09 + -4.91. Which is the nearest to g? (a) 0.2 (b) o (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j\/((j\/j**3)\/j))*j\/(j\/j**(3\/2))*j*j\/((j*j**(-13))\/j)*j\/(j\/j**(-1\/10)))**44)**(10\/13) assuming j is positive.\nAnswer: j**(5896\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - 4*w - 64, -2*w - 61 + 293 = -5*d. Let o = d - -91. What is the remainder when o is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 24 - 36 = 2*q, -5*j = -4*q + 258. Let y = 98 + j. What are the prime factors of y?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/12006 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(800)*6)**2.\nAnswer: 28800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 15 = -5*m - 45, -m + 10 = 3*t for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 529\/11*1 - 3. Let h = j + -3341\/88. What is the common denominator of h and -39\/4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 4 = -s, -3*c - 6 = 3*s + 12. Which is greater: -14 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - c = 6, 20*c = 5*b + 15*c + 20. Put 4, -1, 1, b in increasing order.\nAnswer: b, -1, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0012532903823 rounded to 5 dps?\nAnswer: 0.00125","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) 1 (c) 39 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/6487996 and -1\/40?\nAnswer: 64879960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 20356.\nAnswer: 61068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -6*t**3 + 4*t**2 - 7*t + 4. Let p(j) = j + 4*j - 13*j**3 + 9 - 7*j + 9*j**2 - 8*j - 5*j. Determine 9*c(v) - 4*p(v).\nAnswer: -2*v**3 - 3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - -12. Suppose 3*o = -4 + x. Find the third derivative of -r**5 - o + 6*r**2 + 2 wrt r.\nAnswer: -60*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -193\/3120 and 47\/13507?\nAnswer: 3241680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**2 - 28711*m - 201030. Calculate g(-7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of f**2*n**2 + 273*f*n**2 + f*n - 365*n**2 + 4 wrt f.\nAnswer: 2*f*n**2 + 273*n**2 + n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15 - 7. Let j = -10 + y. Sort 1\/4, j, 11 in ascending order.\nAnswer: j, 1\/4, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10133871 divided by -83751\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.79 minus 324.8169?\nAnswer: -322.0269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 109 is divided by 23?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 902289007 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000003605617 to 7 dps.\nAnswer: 0.0000036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 21758070?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -5*w**2 + 25*w. Let f(z) = -z**2 + 4*z. Let x(l) = 6*d(l) - 34*f(l). Is x(4) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 18*r**4 + r + r + 135 - 3*r**2 - 134 in the form c*r**2 + n + w*r**4 + o*r + u*r**3 and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*b + 0 + 16\/7*b**2 + 4\/7*b**3.\nAnswer: 4*b**2*(b + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*z - 76000 = 3*z. What is the lowest common multiple of 20 and z?\nAnswer: 3800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -24850 to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100 (base 2) to base 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from waewwwmawmawwwaa?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 242578145 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 274? (a) -3 (b) -3\/8 (c) 3 (d) 37 (e) -28\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2514)\/4*(13 + -15) - 2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r = -u - 2*r - 18, u = -4*r - 14 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -v - 4*l, -v - 2*l - 7 = -0*v. Let j(q) = 4*q**3 + q**2 + q + 1. Calculate j(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -5*h + 6. Let k be a(-3). What is the highest common factor of 105 and k?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -139\/9552 and -19\/555?\nAnswer: 1767120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2632\/12 - 5\/((-60)\/8). Suppose -d + 5*d = q. Calculate the remainder when d is divided by 29.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = 2*a - 585, 35*l - 780 = 31*l - 3*a. Is l a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -357*m**3 - 22*m**2 wrt m?\nAnswer: -2142","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5819)\/459195*-132)\/((-1)\/(-3) + (-5)\/(-75)).\nAnswer: 46\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 2*g - 3. Let z = 5 + -2. Let a be h(z). Let f(q) = 4*q - a*q - 3*q. Let u(p) = p. Calculate u(f(r)).\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -99 (base 11) to base 9\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*x - 126 = -19*x. Suppose -p = 5*p - x. Suppose -p*h - 5636 = -11*h. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - 5*c - 78, -4*d - 114*c + 76 = -116*c. Solve 11*s + 5 = d*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3125 - 3004. What is the greatest common divisor of 4 and x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 6) to base 10.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (46\/(-92))\/(6\/(-28))?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 23320214301 + 110?\nAnswer: 23320214411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -26 - -74. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 3)*(131 - 131 - 20*j)*(-j**3 - 2*j**3 + j**3).\nAnswer: 80*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 93705802 a multiple of 106?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53193 + 46803 = -1817*q + 238905 for q.\nAnswer: 135","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(132)*3*-3)\/(sqrt(300) + (sqrt(300) - (sqrt(300) + sqrt(300)*-1))))**2.\nAnswer: 891\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(3 + sqrt(7488))**2.\nAnswer: 576*sqrt(13) + 29988","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**2 + 2*j + 3. Let y(s) = s**2 + 8*s - 2. Let p be y(-8). Let c be 3 + p + -1 + -1. Let o = c - -4. Give d(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 8, -8, -60, -166, -344, -612, -988?\n\"Answer: -3*f**3 + 5*f + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 888815 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1174442231.\nAnswer: 19, 61812749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 61748136\nAnswer: -1\/15437034","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2865 - 3764 + 466 - 2*w - 182.\nAnswer: -2*w - 6345","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*j**3 + 51*j**2 + 48*j + 9 = 0.\nAnswer: -3, -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 0 - 5 + 39*y + 47*y.\nAnswer: 86*y - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -g + 71, 93 = 3*g + 2*w - 76. Suppose 4*q - g = 33. Let t be (q + 0)*(-3)\/(-3). Solve -2*i - 3*i - 3*v = t, -i = 4*v + 8 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1623*a**3*g**2 - 929*a*g**3 + 38*g**3 + 2*g**2 + 166*g + 1 wrt a?\nAnswer: 4869*a**2*g**2 - 929*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1178844 and 204.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -0*j - 2*i + 2, -5*j - 2*i - 22 = 0. Let z be ((-6)\/j)\/(396\/(-48)). Which is the smallest value? (a) -0.3 (b) 0 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r**5 + 1024*r**4 - 9444*r**3 + 25376*r**2 - 16960*r = 0. What is r?\nAnswer: -265, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 + -155849?\nAnswer: -15584c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) -7 (c) -5\/4 (d) 13 (e) 1\/13 (f) 2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2421.374 kilometers in nanometers?\nAnswer: 2421374000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 13\/4*c**2 + 1\/2*c + 5\/4*c**4 + 4*c**3 + 0.\nAnswer: c*(c + 1)*(c + 2)*(5*c + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*s = 13*s + 20 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1221220 + -10200?\nAnswer: 1211020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-36)\/((-1080)\/(-1590)) + 15\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 8*k - 6. Let v be j(3). Suppose 4*i + v = 3*i - 4*d, -i + 22 = -4*d. Suppose 1\/2*u**4 + 0*u**3 + 1\/2 + 0*u - u**i = 0. Calculate u.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-12)*4*9\/66.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -99*f**3 + 99*f**3 + 17*f**4 + (-22*f**3 - 3*f**3 - 34*f**3)*(2*f - f - 2*f + (1 - 2 + 0)*(-3*f - 2 + 2)).\nAnswer: -101*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -866 divided by -4118.\nAnswer: 433\/2059","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*v**3 - 2*v**2 + 17*v**3 + 2*v**2 - 5*v**3.\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 224*w**2 + 97*w + 194. Let d be p(-2). Calculate the greatest common factor of d and 140.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*s + 18*s = -26 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((12\/50)\/(387\/430))\/((-2)\/6).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -166 = -15*l - l - 38 for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2923 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3222 - 766 + 10287 + 8005 = -399*i for i.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * -24.1.\nAnswer: 120.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1351 is divided by 23?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, o: 5}. What is prob of picking 4 o?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/9)\/(32\/144)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5628257 a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, g: 1, l: 1, m: 1}. Give prob of sequence gl.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 13 + ((-7 - -3) + 1 - 2)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -426 divided by 2.\nAnswer: -213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k\/(k**(-1\/2)\/k))\/k)\/k*k)**(1\/2))**26 assuming k is positive.\nAnswer: k**(39\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (-5 - (2 - 11)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -2, 90, 66, 1\/3, -5, -1, 30?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 50033 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 494 + -90. Let y = z - 157. Is 11 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1217 less than -1176?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -31\/12 greater than -24?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1\/7*d**4 + 1\/7*d**5 + 0*d**2 + 0*d + 0 - 6\/7*d**3 = 0. What is d?\nAnswer: -3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1dd1c - 5?\nAnswer: 1dd17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (78\/5 + -25 - -9)*(74 - -1)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -3 (b) -71 (c) -5 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-30*q + 45*q - 2*q**2 - 31*q)*(2*q - 2*q - 3*q)*(0*q - 4*q + 3*q) to the form r*q + a + z*q**4 + f*q**2 + c*q**3 and give z.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d - 12*d = -10. Solve 0 = d*l - l + 3*t - 6, 2*t - 4 = l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -34*q - 25*q + 1052*q**5 - 1 - 5*q - 909*q**5 wrt q?\nAnswer: 2860*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/84)\/((-138915)\/(-37044))?\nAnswer: -1\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pgdpggigpg. What is prob of sequence igg?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 5*a + 15. Let k be y(15). What is the greatest common factor of 18 and k?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 16) in base 14?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2179 - -2177. Let h(j) = -j**2 - j - 10. Let o(a) = a**2 + a + 9. Give m*h(y) - 3*o(y).\nAnswer: -y**2 - y - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3392, 6770, 10138, 13490, 16820, 20122?\nAnswer: 23390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h\/(h**3\/h))*h*h**(3\/7))**(9\/4)\/(((h\/(h\/h**(-1\/9)))\/h**(1\/4))\/((h\/((((h**(1\/3)\/h)\/h)\/h*h)\/h*h))\/(h*h**(1\/2)))) assuming h is positive.\nAnswer: h**(2329\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.3 + -0.1. Let k = m - 0.2. Let t = k - 0.4. Sort t, -2, 0.2 in increasing order.\nAnswer: -2, t, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 207615568590.598 - 207736908517.5979865. Let r = n + 121339850. Let m = 77 + r. What is m rounded to five decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 170200768?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes after 10:57 PM?\nAnswer: 1:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 29444*p - 649. Is b(10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**3 + 26*a**2 + 27*a + 22. Determine r(-25).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + 5. Suppose -3 = 3*x - j*x. Calculate the remainder when 12 is divided by (1\/x)\/((-1)\/(-7)).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -92231, -92227, -92213, -92183, -92131, -92051?\n\"Answer: o**3 - o**2 - 92231","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1700, -17, 0 in decreasing order.\nAnswer: 1700, 0, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -575 - -596. Solve 17*i - j*i - 20 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 154 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**2 - 20*d + 155. Give i(26).\nAnswer: 311","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 831 is divided by 286.\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n + 9. Let g be p(5). Suppose g*v = 29 - 5. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*b**3*c**2 - b**3 - 707*b**2*c**2 + 61*b*c**2 + 2*c**2 - 515817*c wrt c?\nAnswer: 4*b**3 - 1414*b**2 + 122*b + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggyyyygygyy. What is prob of picking 3 g and 1 y?\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 5*x**2 - 2*x - 1. Let p be d(-1). Let g be 24\/16*1*p. Let y = 3 + -2. Which is the third smallest value? (a) -0.4 (b) g (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 52526?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 86 = -3*h, -9*h + 9119*y - 1 = 9115*y + 261 for h.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5257, 10553, 15831, 21085, 26309?\nAnswer: 31497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 278 - 62. Let n = m - 210. Calculate the remainder when 10 is divided by n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.0563 - 1.0562938538. Round l to six decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/10)\/((2063400\/2250)\/181).\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(-110)*11*28.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -81.\nAnswer: -4\/81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 56369 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y. Let d = -644 - -642. Let g(q) = 4*q + 2. Let a(t) = -3*t + 1. Let m(b) = d*a(b) + g(b). Determine f(m(u)).\nAnswer: -10*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, 1, 56, -3 in decreasing order.\nAnswer: 56, 4, 2, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 30 - 29. Let h = n - -25. Let s = h + -26. Sort -0.1, s, 0.5 in decreasing order.\nAnswer: 0.5, s, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -568573, -1137128, -1705671, -2274202, -2842721, -3411228, -3979723?\nAnswer: -4548206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrwwwnonwwouruiwi. Give prob of sequence ino.\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**2 + 9*a + 3. Let d(u) = 3*u**2 + 21*u + 7. Let g(x) = 3*d(x) - 7*k(x). Let z(n) = -2*n - 382. Determine g(z(c)).\nAnswer: 8*c**2 + 3056*c + 291848","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-23\/5)*b**(-27) assuming b is positive.\nAnswer: b**(-158\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 37 + 16 + 21 - 123 + 31 + 7*u**2 to y + a*u + w*u**2 and give w.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -928, -2360, -3740, -5062, -6320?\n\"Answer: j**3 + 20*j**2 - 1499*j + 550","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xmn when three letters picked without replacement from {s: 7, m: 1, t: 2, x: 1, g: 2, n: 1}?\nAnswer: 1\/2184","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -g**3*m**2 + g**3 + 227*g**2*m**3 - 59*g + 6*m wrt m?\nAnswer: -2*g**3 + 1362*g**2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**4 - 12*b**3.\nAnswer: 4*b**3*(b - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r + 87*r - 10*r)*(-4*r + r + r).\nAnswer: -156*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -22573 - -586827\/26. Calculate the common denominator of o and 123\/130.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the second derivative of 147*u**4\/4 + 290*u**3 + 3815*u. Find the second derivative of i(g) wrt g.\nAnswer: 882","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 155723 is divided by 31095.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wlrnn. Give prob of sequence lnrn.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9431?\nAnswer: 9431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-459)\/(-63) - (-3)\/(21\/(-2)). Suppose 10*s - p*s = 954. Let z = -154 + s. What is the tens digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 316110 a multiple of 205?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 18090 divided by -7285\nAnswer: -3618\/1457","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 25\/6 + -2 - (223 + 191415\/(-630))\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -377 (b) -2 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1487 in 0, 8, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000111101 + 0?\nAnswer: -1000111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 46*x**2 + x - 4. Suppose -5*c - l = -76, -2*l = 1 - 3. Suppose c = 2*m + m. Is b(m) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 14839*g**2 + 41*g + 3220330 wrt g?\nAnswer: 29678*g + 41","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**6)**(1\/4)*y**(4\/9)*y\/y**(3\/2))**(-11\/3) assuming y is positive.\nAnswer: y**(-143\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 - -10. Suppose 0 = -v*a + 5 + 47. Suppose -7*u + a = 2*o - 3*u, 0 = -5*o + 3*u + 13. Solve 4*p - o*p = -2 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d - 5. Let u(c) = 0 + 1 - 1 - 1. Let p(b) = r(b) - 3*u(b). Let g be p(3). Solve -1 = 2*k + g for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85480 bigger than 85488?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -0.2 (b) 322.54 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6.16 + 0.16. Let q = i - -5.981. Let h = -0.073 + q. Round h to 2 decimal places.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 2*m**3 - 49*m**2 + 24*m + 27. Suppose 5*q = 32*q - 648. What are the prime factors of v(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13207 (base 8) to base 9\nAnswer: -7817","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n. Let r(c) be the second derivative of 161*c**3\/2 - c**2 - 3790*c. Determine r(x(l)).\nAnswer: 483*l - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/5, 83, -1\/4, 1, 6079 in descending order.\nAnswer: 6079, 83, 1, 4\/5, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 2 (b) 5 (c) 1 (d) -8\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5836908827 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 26*b - 5. Let o(d) = -3*d**2 - 3620*d + 1. Determine o(a(y)).\nAnswer: -2028*y**2 - 93340*y + 18026","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 2*v - 1917420 = 0, -v + 479353 = 128*c - 127*c. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-10)\/2*(-3 + 2). Let c be h + ((-8)\/4 - 0). Suppose -c*g = -24 - 6. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-18)\/4 + (51 - 36 - (4 + 3)). Factor -b*w**4 - 3*w**2 + 0 - 23\/2*w**3 + 0*w.\nAnswer: -w**2*(w + 3)*(7*w + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 265 (b) 0.1 (c) 6 (d) 3 (e) -17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1*3*228\/2508\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -46 + (12 - (12 + 19 + 5)).\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14353.711 - -14383. Let a = -0.111 - v. What is a rounded to 0 decimal places?\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10.012 - -0.012. Let u = 664.5 - 665. Which is the closest to 1? (a) 0 (b) j (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2260219?\nAnswer: 13, 37, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -42*v**2 + 3*v - 10. Let x(u) = -42*u**2 + 2*u - 8. What is -4*o(g) + 5*x(g)?\nAnswer: -42*g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f - 2*t - 16 = 0, -4*f - 4*t - 139 + 131 = 0 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 817 divide 11747643?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ciicidxdddxpixxuddid. Give prob of sequence xixi.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 98683*u + 4*u**3 - 98683*u - 5*u**3.\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that x**2 + 4411*x - 8826 = 0.\nAnswer: -4413, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 2*w - w**3 - 4*w**2 - 7 + 5 + 2*w**3. Let i be s(4). Suppose -21 = -i*z + 3*z. List the prime factors of z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.0627 + 1.0585698. Round u to 4 decimal places.\nAnswer: -0.0041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**3 + 3*y**2 + y + 3. Let i(a) = -a**3 + 20*a**2 + 92*a - 5. Calculate the lowest common multiple of i(-4) and b(3).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 518202?\nAnswer: 518202","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 9) to base 4.\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 247*l**3*q**2 - l**3 wrt q.\nAnswer: 494*l**3*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -389493\/58 + 6715. Does y = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 273722*z**3 + 674*z**2 - 2*z + 35 wrt z.\nAnswer: 1642332","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 930647 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mp when two letters picked without replacement from mfwpn.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -20*v - 100. Let b be i(-5). Calculate the remainder when 1 - (-60 - (-1)\/1) is divided by (b - -2)*(-16)\/(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -62750 (base 14) to base 16\nAnswer: -39f72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 - 0)\/(-25 + 27 + -4). Which is smaller: t or 45\/38?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**2. Let k(l) = -944*l - 20*l**2 - 17 + 4 + 951*l. Let p(z) = 4*j(z) - k(z). Is p(10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8902? (a) -1 (b) -4 (c) -2\/9 (d) 1\/22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(13) - (sqrt(104)\/sqrt(8))**2) + 2 + sqrt(468).\nAnswer: -12 + 7*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) 2 (c) -5.9 (d) -114\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6493 and 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, 2, 3, 1, 5\/2?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/15 - (-4228)\/(-210)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -8*b - 18. Let p be ((-21)\/63)\/(b\/30). Find m such that -2*m + 1\/2 + p*m**2 = 0.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/(-54))\/(1 + -2)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (68\/442)\/(1*-1). Let a = -13.9 + 15. Let i = a + -0.1. Sort l, 0.5, i in ascending order.\nAnswer: l, 0.5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18990 take away 1.571?\nAnswer: 18988.429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 60 in 4, 0.2, -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10463588*f**5 + f**4 + 4*f**2 - f + 104331?\nAnswer: -627815280*f**2 + 24*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 9 and -1.2337.\nAnswer: -11.1033","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u. Calculate v(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/3722 and 1\/6.\nAnswer: 11166","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 3*t + 2 - 5.\nAnswer: 3*t - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2170)\/744*(-80)\/(-210).\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 77208, 77208, 77210, 77214, 77220, 77228?\n\"Answer: f**2 - 3*f + 77210","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -0*v - 4*v. Suppose -v*r + 0*i + 24 = i, -60 = -5*r + 5*i. What is the tens digit of 34\/3 - r\/36?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -2*g**4\/5 - 272*g**3\/5 - 8634*g**2\/5 + 18092*g\/5 - 9184\/5 = 0.\nAnswer: -82, -56, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -21 + 23. Let m(s) = 2*s + s - 5*s - v*s. Let g(u) = u. What is g(m(z))?\nAnswer: -4*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 4 = -12. Let b(g) = 9*g - 1 - 3*g**2 + 4 + 4*g**x + 6. What are the prime factors of b(-11)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 47 - 26 + 18)*(-b - 3*b + b).\nAnswer: 150*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5725 is divided by 800?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.5000026 - 0.5. Round j to 7 dps.\nAnswer: 0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -138 (base 12) in base 10?\nAnswer: -188","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 16, 1 in descending order.\nAnswer: 16, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yydvvvqqyyyyrrqdvv. What is prob of sequence yrvr?\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7.1 + -1.1. Let q = y + -5.9. What is the third smallest value in q, -0.1, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.08737 and -2.\nAnswer: 0.17474","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0497371 to two decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11659185?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/(-18) - (-303)\/27. Calculate the remainder when 28 is divided by g + (0 - 1) + -4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3*8\/30)\/(32\/(-10)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -7 - 2*c - c - c**3 - 7*c**2 - c + 0. What are the prime factors of i(-7)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 - 644640333?\nAnswer: -644640335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 2*n - 5. Let x be l(5). Suppose 3*w + 12 = x*w. Let o(m) = 12*m + 11. Let q(h) = 20*h + 12. Let a(j) = 3*o(j) - 2*q(j). Calculate a(w).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -2*s**2 - 2*s + 2. Let f(l) = 612*l**2 + 408*l - 408. Determine 3*f(i) + 612*q(i).\nAnswer: 612*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 - -15ac03?\nAnswer: 15ac08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 199090 is divided by 339.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 576 and 54.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2\/3, 685, -4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4000 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + (-72)\/11 + 264\/484?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 68*k + 238. Give u(-11).\nAnswer: -510","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*f - 43*f + 83*f.\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the second derivative of 1\/2*l**3 - 1\/20*l**5 + 0 + 21*l + 1\/12*l**4 - 5\/2*l**2. Does 9 divide b(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((1\/162)\/(3\/(-6)))\/((-11)\/66).\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -206.7 + 207. Which is the smallest value? (a) 3\/7 (b) x (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (22 - 58 - 145 - 14)*(23*h + 7 - 37*h + 28*h) to m + w*h and give w.\nAnswer: -2730","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*c**3 + 4050*c**2 - 16260*c + 16280.\nAnswer: 5*(c - 2)**2*(c + 814)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**2\/5 + 19408*y\/5 + 1787646\/5.\nAnswer: 2*(y + 93)*(y + 9611)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*l + 10 = -8*l. Does 10 divide (-3 + 5 - -8)*l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 - -10. What is the smallest common multiple of y and 86?\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pd when two letters picked without replacement from dmlep?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 30.5 + 10975016?\nAnswer: 10975046.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24*19\/33516)\/(36\/(-84))?\nAnswer: -2\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sns when three letters picked without replacement from ssnsnnnnssnn?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 253845115*d**5 - 5*d - 45925014 wrt d.\nAnswer: 5076902300*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13377 is divided by 1664.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -y**2\/2 + 86399726*y - 3732456326437538 = 0.\nAnswer: 86399726","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5048.576 - 5045.476043. Let w = -3.1 + q. Round w to five decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26 - 26 - 260*v**2 + 266*v**2 - 21 + 73.\nAnswer: 6*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g**2 - 4*g**4 + 2*g**2 + (5*g - 5*g - 2*g**3)*(0*g - g + 2*g))*(0*g - 2*g - g) - 2*g**5 + 4 - 4 + (-3*g**2 + 2*g**2 + 2*g**2)*(g - 2*g**3 - g).\nAnswer: 14*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3735*o**2 + 7861*o wrt o.\nAnswer: 7470","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 146 + -143. Let i(y) be the first derivative of 8\/5*y**5 - 1 + 0*y**2 - 4\/9*y**r + 1\/2*y**4 + 0*y + 7\/9*y**6. Factor i(b).\nAnswer: 2*b**2*(b + 1)**2*(7*b - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5425*b**2 + 4169*b**2 - 11590*b**2 - 21919*b**2.\nAnswer: -34765*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 204.413812 less than -5.796?\nAnswer: -210.209812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than -2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of -r**8\/560 + r**7\/140 + 52*r**3\/3 + 2*r + 23. Let q(a) be the third derivative of g(a). Find u such that q(u) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.45 - 2. Let y = 0.547 + k. What is y rounded to 3 dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3069 and 372?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -27*p - 16*p + 28*p + (-4 + 0 + 2)*(8 + 0 + 10)*(4*p - p - p) in the form x + i*p and give i.\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 22 from 79020.\nAnswer: 78998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**2 + r - r. Let y(t) = 2*t + 3. Let i be -5 + (2 - 2 - -2). Let h(w) = -3*w - 5. Let m(v) = i*h(v) - 5*y(v). Give m(k(f)).\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (78\/(-63))\/13*2\/(54\/(-63))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*c = -28*c + 90*c - 12*c + 855 for c.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1178\/9 + -130. Solve -2\/9 - 8\/9*i**3 + 2\/9*i**2 + x*i = 0 for i.\nAnswer: -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:39 AM and 10:53 AM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5611 + -5609. Sort 1, j, 0, -5, -4 in descending order.\nAnswer: j, 1, 0, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2546391265?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2210820.\nAnswer: 2, 3, 5, 36847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 216542249.\nAnswer: 7, 11, 2812237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*v**5 - 2*v**5 - 2*v**5 + v**5 - 4*v**5 + 5*v**5 + (0 + 0 + v)*(-v**4 + 2*v**4 + 0*v**4) + 0*v**5 + 2*v**5 + 6*v**5.\nAnswer: 9*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*j - 1577 = -7895. Suppose -j = -19*v + 10*v. What is the greatest common factor of 6 and v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:07 PM and 4:16 AM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 2*p**3 - 236*p**2 + 455*p + 1192. Determine o(116).\nAnswer: 148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 135 - 131. Suppose -24 = 3*g + 3*u, -6*u = 3*g - 9*u. Sort 2, -1, g, b in ascending order.\nAnswer: g, -1, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2063333.\nAnswer: 179, 11527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:48 PM and 3:28 AM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 108.842, -3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*w + 2703 - 5397 + 2700 + 2*w**2 as a*w + v*w**2 + l and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3021 by 9564.\nAnswer: 1007\/3188","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 6 + 14 + 5 + 0 + -4.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 123, 240, 357?\n\"Answer: 117*u + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (16\/40)\/((-4)\/5)*2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 + -5)*30\/(-1). Suppose 51 = -5*o - 5*w + 191, 5*o - 5*w - q = 0. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -7*m. Let l(d) = -2*d - 5. Suppose -n = 3*n + 8. Let j be l(n). What is the remainder when 31 is divided by t(j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from qqqqqqttq?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 177*h**2*x**5 - 3*h**2*x**4 - 13*h**2*x - 2*h*x**2 + 5*h*x - h wrt x?\nAnswer: 10620*h**2*x**2 - 72*h**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -20022100122 (base 3) in base 9?\nAnswer: -208318","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*a = a + 5*a. Let z(b) be the first derivative of a*b - 7\/2*b**2 + 11. Let m(u) = 4*u**2. Calculate z(m(t)).\nAnswer: -28*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 92494073.\nAnswer: 7, 41, 47, 6857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a + 2*a - 3*a)*(3*a + a - 3*a)*(6 - 6 + 9).\nAnswer: 18*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18203 and 334?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 26280593 divided by 1373?\nAnswer: 19141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 3*m + 174 = 167, -d + 6 = 4*m for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50353 is divided by 27?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of -128 and 5.266334704.\nAnswer: -122.733665296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 54 (base 7) to base 9\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the second derivative of 0 + 0*q**2 + 1\/12*q**4 + 0*q**3 + 160*q. Let y(z) = 12*z**2 - z**2 - z**2. Give y(u(s)).\nAnswer: 10*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 30 - 9. Suppose -22*o + 3 = -v*o. Suppose o*b + 2*b - 4*k = -2, 3*b + 4*k = 18. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, i: 2, q: 4}. What is prob of picking 2 i?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20 - (-882)\/(-45))*(-21 - 789\/6)?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (0 + -26)\/(6*7\/(-84))?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - -56. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4413313300 (base 5) to base 6.\nAnswer: -535501510","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of 37300188 and -0.543544.\nAnswer: 37300187.456456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -28, 5.2, 5\/222?\nAnswer: 5.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**4 - h**2. Let d(b) = 18*b**2 - 7*b**2 + 9*b**4 - 6*b**2 - 6*b. Let y(q) = d(q) + 5*t(q). What is the second derivative of y(x) wrt x?\nAnswer: 168*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -404*u + 28325. Determine b(70).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 81677*g**3 - 35*g**2 - g + 53958422?\nAnswer: 245031*g**2 - 70*g - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/1 - (-1)\/1. Suppose 0 = -5*d - 2*y + 11, d + r*y = y + 5. Solve d = p - 1 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvv. What is prob of sequence vv?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 23572.17 rounded to the nearest 100?\nAnswer: 23600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (104 + -93)*(4\/(-6))\/(6\/9)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-22)\/26 - -1) + 6360\/65. Suppose 0*o = -7*o + r. Does 6 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 14*c - 6. Let q be x(4). Suppose -6*g + 62 = q. Solve -g*a = 9 - 7 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -458, -917, -1376, -1835?\nAnswer: -2294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-748)\/36 + (12\/(-81))\/((-88)\/(-132))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*m + 336 = -58*m for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-12) + 2\/((-88)\/(-3))\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 133.31 - 134. Let u = l - -0.690204. Round u to 5 decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 36*x**2 + x + 19 wrt x.\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 55*z + 3548. What are the prime factors of g(-43)?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3831678581 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15962)\/4858)\/((-1)\/(-7)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 25*n - 55*n + 3 - 1 + 5 - 27*n. Let y = 2 + -4. Is o(y) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 + -14?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*n**3 + 20*n**2 - 2*n**3 + 2*n**4 - 22*n**2 to the form r*n**2 + h*n + q*n**3 + f*n**4 + u and give q.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 (base 3) in base 2?\nAnswer: 10100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 39 (base 15) to base 8.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1095.\nAnswer: 3, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 29091?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6597 is divided by 110?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*f - 3*f + 3*f - 9*f - 6*f - 35*f.\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 12*d**3 + 3*d**2. Suppose -14*h + 0 = 42. Let a(r) = -25*r**3 - 7*r**2. Give h*a(z) - 7*k(z).\nAnswer: -9*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/32 and -127\/25596?\nAnswer: 204768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.9912414 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8794*z + 8792*z + 8796*z - 35181*z + 63 + 8797*z.\nAnswer: -2*z + 63","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 2852?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*10\/6*-3*99\/55.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-572)\/16 + 2\/(-8). Let p = 72 - c. Suppose -x + 8 = 3*x, 5*o + 4*x = p. Calculate the least common multiple of 40 and o.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 349*y - 1626. Is n(7) a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 i when two letters picked without replacement from huuviztiuvzhzvz.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.3 + 0.1. Let s = -548 + 547.9789. Let u = s - -5.0211. Which is the smallest value? (a) 0 (b) -0.5 (c) u (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13)\/(21411\/(-36))*3\/(-2)?\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2058 + 2063. Suppose 7 = 4*v + 3. What is the smallest common multiple of v and u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (14\/3)\/((-8)\/(-60)). Suppose -5*c = -4*h - 26, 5*h = 4*c - 0*h - 28. Solve -5*w = -5*a - l, -5*a + c*w - 30 = -2*w for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -350*b + 9955. What is x(37)?\nAnswer: -2995","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110 - 1000011?\nAnswer: -1001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**3\/2 - 3*l**2\/2 + 2.\nAnswer: -(l - 1)*(l + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 22 - 20. Let b(n) be the first derivative of n**3\/3 - 3*n**2\/2 - 4*n + 1. Let k be b(4). Solve z*t - 2 - 2 = k for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 39.9 and -684 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwvvuuhhuwuvvw. Give prob of sequence uuu.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**4\/7 + 231592*m**3\/7 - 8939759904*m**2\/7 + 115060659923840*m\/7 - 919913253323776\/7.\nAnswer: -2*(m - 38596)**3*(m - 8)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16613 + -83068\/5. Let l = 5 - 1. Let c = -3.8 + l. Sort i, c, 1\/13, 3 in decreasing order.\nAnswer: 3, c, 1\/13, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6.3 - 11.3. Let t = -0.93 - 0.07. Let v = 1 + t. What is the second biggest value in v, 6, q?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 154654919 to the power of 1\/3, to the nearest integer?\nAnswer: 537","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the third derivative of j**9\/52920 - j**4\/24 + j**2. Let y(p) be the second derivative of z(p). Solve y(i) = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -838.891246 - -868.3666. Let x = a + 3.427786. Let h = -32.9 + x. Round h to four dps.\nAnswer: 0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 208\/3 - 69. Let q = 1 - 0.8. Sort u, q, -0.3.\nAnswer: -0.3, q, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 124\/70 - (-6444)\/(-3759).\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 973.1 * -0.7607.\nAnswer: -740.23717","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6 and 356945.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4028*n**2 + 16071*n**2 - 4022*n**2 - 4022*n**2 - 4019*n**2.\nAnswer: -20*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and -68.748.\nAnswer: -20.6244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 89838 divided by 9982\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2\/21635 + -43996\/7853505. What is the common denominator of -28\/561 and p?\nAnswer: 6171","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -45 + 77. Is c greater than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29317651789 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -36\/77 and -18\/1463.\nAnswer: 1463","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 112.\nAnswer: -3\/112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 + -27174b?\nAnswer: -271749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -319*j + 2373*j - 28186 + 10348 = 27350 for j.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1\/2, -6.72869 in ascending order.\nAnswer: -6.72869, -1\/2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -0*g + 352. Suppose -4*a + 988 - g = 0. What is the hundreds digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4.1? (a) 69\/5 (b) -6.58 (c) -4 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10001100111 (base 2) in base 14?\nAnswer: 5a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 88 + 77 + 71*p - 15 + 65 + 7 as t + w*p and give w.\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/3997 (b) 0 (c) -0.05 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -88 (base 12) to base 2\nAnswer: -1101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13523*c - 26815*c = -13435*c - 5863 for c.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 20\/5 + -2 + 0\/(-1). Suppose h = 3*s - g*h - 2913, 2*s - 1942 = 3*h. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24.11 less than -758460?\nAnswer: -758435.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the third derivative of -x**6\/120 - 3*x**5\/20 - 7*x**4\/24 + 4*x**3\/3 + 40*x**2. Determine v(-8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11199542 and 18.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88*w + 14 = -95*w, k + w - 322 = 0. What is the remainder when 1269 is divided by k?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2874 times 1095?\nAnswer: -3147030","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -43, -96808, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 268860 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g*g\/(g*g\/(g**(-23)*g*g)*g)*g)\/g)\/g)**(2\/13)\/((g*g**(-22)*g)\/g**(2\/25)))**(-25) assuming g is positive.\nAnswer: g**(-5376\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (15\/(-5))\/((-389)\/(-130) - 3). Suppose -3*s + 8*s = o. Suppose s - 287 = -t. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 507 - 497. Which is the biggest value? (a) 1 (b) g (c) 0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 220 a factor of 9587?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -46 + -5. Let x = z - 59. Let q = x - -110.00000049. Round q to seven dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times 54?\nAnswer: -16.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1832713.\nAnswer: 29, 63197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -2*x**5\/15 - 34*x**4\/15 + 1632*x**3\/5 + 60632*x**2\/15 + 182848*x\/15 + 54272\/5 = 0?\nAnswer: -53, -8, -2, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 7949041 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the third derivative of 37*x**7\/210 + 43*x**3\/6 + 2*x**2. Differentiate p(n) wrt n.\nAnswer: 148*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 145 = -24*u - 5*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(3\/2)*z)**20*(z**(-11)*z)\/z*z**(-2\/13) assuming z is positive.\nAnswer: z**(765\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 26\/(-120)*12\/(-78). Let n(m) be the second derivative of -25\/3*m**3 - 10*m + 5\/6*m**4 + 125\/3*m**2 - z*m**5 + 0. Factor n(q).\nAnswer: -2*(q - 5)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1190222 to the nearest integer?\nAnswer: 1091","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*d - 3*z + 18, z + 198 = 2*d + 209 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 193\/3720 and (-158)\/126*(424 + -421)?\nAnswer: 26040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 4, -2\/21, 0.5, -4?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(18\/(-108)*132)*33\/((-6)\/2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) -3\/2 (c) -1\/2 (d) -8 (e) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 2*l**2 - 10*l - 26. What is the lowest common multiple of f(-6) and 8?\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 38845671 to the nearest integer?\nAnswer: 339","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express b**4 - 2915*b**2 + 2915*b**2 + 2*b - 2*b**3 in the form y + o*b**4 + r*b**3 + q*b**2 + j*b and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -7*g - 1. Suppose -2*m - 2*k + 17 = -1, 4*m = -3*k + 33. Let h(p) = 3 - 8*p + 0*p - 3 - 1. Determine m*h(y) - 7*i(y).\nAnswer: y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 + 0. Let a = -1.1 + 0.1. Is a at least c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 2 n when four letters picked without replacement from vvvvnpzyzypnvpyvyn?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c - 1. Let l(u) = 3*u - 2. Let r(s) = 5*j(s) - l(s). Let d be r(3). What is the nearest to -2 in -0.3, d, -4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 204258?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 10*f**2 + 623*f - 20. Let d(t) = 6*t**2 + 312*t - 8. Determine -5*d(n) + 2*p(n).\nAnswer: -10*n**2 - 314*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -103436 less than -0.8?\nAnswer: 103435.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-212)\/(-16) - (-1)\/(-4). What is the units digit of (0 - (-6)\/3) + m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 287799 or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 22 or 1108\/49?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the first derivative of -s**3\/3 + 3*s**2 - 3*s - 4. Let w be r(4). Solve 24 = -4*c - w*n, -7*n - 15 = -c - 3*n for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 532311978 to the power of 1\/2, to the nearest integer?\nAnswer: 23072","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(-3) - (-4)\/(-6). Let p = 267.54 + -270. Let q = p + 0.46. What is the nearest to 1 in -3, q, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -144*m + 31. Let v(n) = 50*n. Give -i(w) - 2*v(w).\nAnswer: 44*w - 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:39 PM and 2:16 AM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/11 (b) 4\/7 (c) -448 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 23*q - 14. Calculate i(2).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 63 + -28. Find the first derivative of w - 49 + 28 - 3*k wrt k.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**2 - 21*z - 28. Let h be j(-21). What is h rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -20277860 less than or equal to -20277864?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c**3\/6 + 41*c**2\/6 - 271*c\/6 - 403\/2 = 0. Calculate c.\nAnswer: -3, 13, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 2*z + 0*z = 245, 5*z = 25. Let p(w) = -10*w**2 - 130*w + 17. What is the remainder when x is divided by p(-13)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f = 4*f - 140. Calculate the remainder when 27 is divided by f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 19552, 39103, 58654, 78205, 97756, 117307?\n\"Answer: 19551*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -4*j - 8. Let z(b) = -b - 1. Let s(t) = r(t) - 3*z(t). Suppose -n + 1 = a, 5*a = -5 - 10. Suppose -n = h + 4*h - 4*q, 12 = -3*q. Calculate s(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*n**4 - 58683*n - 125425.\nAnswer: -8*n**3 - 58683","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 666 divide 14644354?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 25678?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yryy when four letters picked without replacement from rorrrroroyrlloooooo?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1108, -1097, -1082, -1063, -1040, -1013?\n\"Answer: 2*u**2 + 5*u - 1115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j - 2. Suppose -2 = -u, 3*v - 4*u - 44 = -5*u. Suppose -4 = 3*y + v. What is p(y)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + q = 0. Suppose 0*x - 5*x + 10 = q. Suppose -n - 3*n + x*s = -10, s = 4*n - 9. What is the lowest common multiple of n and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3261 is divided by 40?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3, -1, 9, 33, 77, 147?\nAnswer: 249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes after 9:54 AM?\nAnswer: 4:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -193030.43 to the nearest one thousand.\nAnswer: -193000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -122*l + 120*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((9\/360)\/(8\/60))\/((-2)\/12)?\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k**2 + 845*k + 844 = 0. Calculate k.\nAnswer: -844, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 1507*b + 8 + 813*b.\nAnswer: 2320*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -23*o**3 + 20*o - 17. Let x(u) = -8*u**3 + 7*u - 6. Let w be ((-68)\/6)\/((-4)\/6). Suppose 2*q = -w + 49. Let f = q + -10. Determine f*l(a) - 17*x(a).\nAnswer: -2*a**3 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pbyrpbbbybrpprrpbqbp. Give prob of sequence pbr.\nAnswer: 7\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**6*g*g\/(g*g*g\/g**(-6)*g))\/(g**(2\/7)\/((g*g*g**(-4))\/g))*(g**(-1))**(-50)\/(g**(1\/4)\/(g\/(g\/g**(-1\/15)))) assuming g is positive.\nAnswer: g**(18647\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/50 of a litre?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 11011011010101111 (base 2) to base 3\nAnswer: 12201001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the third derivative of -b**6\/600 + b**5\/75 - b**4\/24 + b**3\/15 - 22*b**2. Determine v, given that d(v) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, h: 3, k: 6, d: 4, r: 3}. What is prob of picking 1 r, 1 g, and 1 k?\nAnswer: 18\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k\/(((k*k**(-3)*k)\/k)\/k))*k\/(k*k**(16\/5))*k)**(-1\/4) assuming k is positive.\nAnswer: k**(13\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.01 and -4.4429.\nAnswer: -4.4329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 56 + -41. What is the remainder when 44 is divided by v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k**4 + 53115*k**3 - 1168087*k**2 + 2176833*k - 1061860 = 0.\nAnswer: 1, 20, 53093","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s*s\/(s\/s**7))*s**0)\/((s**6\/s)\/s*s**(2\/7))*(s**(-6)\/s**(-2\/13))\/((s\/s**4)\/(s*s**(1\/4)\/s)) assuming s is positive.\nAnswer: s**(-5053\/364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + z + 238 = 0, -2 = 5*z - 27. What is the remainder when t is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -2*c - 4. Let n = 17 - 11. Let h(g) = 4*g + 5. Let w(m) = -9*m - 10. Let o(s) = 5*h(s) + 2*w(s). Give n*u(f) + 5*o(f).\nAnswer: -2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -0.1, 88 in increasing order.\nAnswer: -0.1, 0, 88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -13*n + 32. Let z be y(2). Solve -t + z*t = -10 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 25*h**2. Let b(v) = -6*v - 3. Suppose -6*a - 24 = -9*a. Suppose -7 = 5*m + a. Let t(q) = -q**2 - 8*q - 4. Let r(l) = m*t(l) + 4*b(l). Give d(r(u)).\nAnswer: 225*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -3*(-3*(sqrt(405) + sqrt(405) + 1) + sqrt(405) - sqrt(405) - sqrt(405)) + 2*(-3 + sqrt(405)) + 2 + 1)**2.\nAnswer: 2898*sqrt(5) + 214294","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17610\/13 - -248061\/182. Let f = 7573\/420 - 344\/21. Calculate the common denominator of l and f.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11*26\/(-1001))\/((-2)\/28)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 9 (base 15) to base 7\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 0.8488577 weeks?\nAnswer: 513389.13696","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 51*c**2 - 3*c - 162?\nAnswer: 102*c - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**2 - 6*z + 5. Let h be n(-6). Suppose -4*g = h*i - 266, 3*i - 2*g = -g + 146. Does 8 divide 820\/i - (-4)\/(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17411 != 17412?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:28 PM and 3:47 AM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-24))\/((-16)\/(-48))\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = -3*t + 2*v - 27, 0 = 5*t + 4*v + 45. Let x = 9 + t. Determine o so that -8\/5*o**2 + x - 162\/5*o**4 + 72\/5*o**3 + 0*o = 0.\nAnswer: 0, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74216 is divided by 1687?\nAnswer: 1675","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 200875982?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5280941 is divided by 2109?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 n, and 1 k when three letters picked without replacement from bkuon?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -520*p - 220 = -564*p. Let y(l) = l**2 + 3*l + 2. Determine y(p).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**3 + 7*j**2 - 8*j - 2. Let h(u) = 5*u + 11. Let x be h(4). Suppose x + 47 = 13*s. Suppose 84 = s*b + 8*b. Determine z(b).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 73\nAnswer: 4\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 378*a + 16744. Calculate h(-44).\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0\/((-1*6)\/(-3)). Suppose 4*z + 0*i - 3*i - 20 = 0, c = 2*z - 3*i - 16. Factor 3*l + 10*l**z - 2 + 2*l**4 + 8*l**3 + 2 + l.\nAnswer: 2*l*(l + 1)**2*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*p**4 - 2*p**3 - 4*p - 21*p**3 + 5*p**2 - 6*p**2 + p**2 in the form y*p**3 + z*p**2 + a*p + o*p**4 + q and give y.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19089.\nAnswer: 3, 7, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -1 - 13) + (34 + -18 - 19).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 20529615 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: What is -8488.021 rounded to the nearest one thousand?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1657511 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*p - 2*v - 29523 + 128439, 4*v = 24. What is the ten thousands digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -53254 (base 7) in base 11?\nAnswer: -9994","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -2*j**2\/9 + 56144*j\/9 + 17961286\/3 = 0?\nAnswer: -929, 29001","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 175\/19 + -37659\/95. Let q = m + 386. Which is bigger: q or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-90)\/(-14) - (-12 + 18). Let c = -2\/21 + w. What is the closest to -3 in c, 2\/3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1024948342 at most 1024948342?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 160341 and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/24 and -23\/12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21000203 (base 4) to base 12.\nAnswer: -1942b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-94)\/24064*32*4*(-1)\/(-2).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l - 0*l + 48. Suppose 0 = -9*p + 65 + 79. What is the highest common factor of l and p?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4783 to the power of 1\/2, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -4*p + 5388 - 920, -3*r = 5*p - 5585. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 + -3. Let p = 0.05 + 0.05. Which is the nearest to l? (a) -0.5 (b) -0.3 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 20 = 4*d, 0 = 5*m - 7*m - 4*d + 22. Let f(h) = h - 16. Determine f(m).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:19 AM and 6:59 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1191985831 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, d: 7, s: 1, z: 3, b: 4}. Give prob of picking 2 d, 1 s, and 1 b.\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 325 is divided by 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + 5. Suppose 6*h = 4*h - t*j - 9, -6 = -3*h - j. Let u be 0 + 0 - (-6 - -4). Solve u*v = h*v + 2 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49595*w**2 - 57455*w**2 + 4*w + 107042*w**2.\nAnswer: -8*w**2 + 4*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.4 + -0.1. Let z(d) = 43*d**2 + 388*d + 4. Let a be z(-9). Put a, v, -1\/48 in descending order.\nAnswer: v, -1\/48, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -7*i**4\/3 + 29868*i**3 - 95679922*i**2 + 1882125340*i\/3 + 286451263 = 0. What is i?\nAnswer: -3\/7, 7, 6397","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-32)\/(-18) + (-22)\/(-99). Solve s*l + 0 = -6 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 8 = 1. Let t = 93 - u. Let x be 4\/18 - t\/(-18). Solve 6*r - 4*a + 6 = 4*r, x*a = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 3*d + 12 = -3*y, 0 = 5*y - 2*d + 8. Let c(i) = 7 - i**2 + y*i**2 - 26 + 20 - 9*i**3. What is c(1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -10 + 2 - 5018048*a**3 + 5018047*a**3 - a**2. Let q(k) = 1. Calculate 5*n(t) + 40*q(t).\nAnswer: -5*t**3 - 5*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8\/20 + 52\/10. Suppose 5*u = -2*k + 30, 5*u + k - 3*k - 30 = 0. Which is greater: v or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2781*j**2 + 1830*j.\nAnswer: 5562","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -418270 or -418278?\nAnswer: -418270","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -10960, -10207, -9454?\n\"Answer: 753*b - 11713","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 18\/5 of a litre?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the second derivative of 92*q**4\/3 - 121*q**3\/3 - 372*q. What is the second derivative of y(s) wrt s?\nAnswer: 736","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 2*h + 21. Let w be p(-9). Which is bigger: w or 8\/5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j - 34. Let o be u(-31). Let i be (-6)\/(-1) - (-6 + o). Solve 5*r + 0*r - i = -2*m, 4*r - 2*m = 12 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 582, 1995, 4354, 7665, 11934?\n\"Answer: l**3 + 467*l**2 + 5*l + 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*g - 32*g = 0. Solve 16 = 4*i, g = -3*w - 3*i - i + 28 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1\/2)\/((-1)\/(-10)). Let w(a) = -l*a - 3*a + 0*a. Let f(j) = -2*j**2. What is w(f(s))?\nAnswer: 16*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 2721?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 125c - 147e9?\nAnswer: -1358d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9*p - 82*p - 34*p - 81*p)*(-201*p - 244*p + 86*p) in the form f*p**2 + l*p + b and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -132 - -33. Let k = -9196 + 9192. What is the common denominator of k + (-166)\/c*3 and -83\/6?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**2 + 15*z + 74. Let i be p(-34). What is the greatest common divisor of i and 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1)\/1)\/3 + 7664\/6 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6243.2 + -6243. Let f be 2\/3*10\/(-4). Suppose 3 = 2*y + 3*n, -2*y - 3*n = 2*y + 3. Which is the closest to -1\/3? (a) u (b) f (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001521354 rounded to 4 decimal places?\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1857196.782us to weeks.\nAnswer: 0.000003070761875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 29.77 + -29. Let t = r + -0.7755. What is t rounded to two decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**2. Suppose 0*j + 12 = 4*j. Suppose -3*c - j + 1 = -2*v, -4*c + 3*v = 4. Let i(m) = 0*m - c*m + m + 0*m. What is x(i(t))?\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-10) + (-111504)\/11615?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 0.4 (b) 1 (c) -5 (d) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3 and 0 + (-2 - -14) + -4?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29741 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1225 + 2943. Let t = x + -1717.89896. Let u = t + -0.1. Round u to 4 decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, m: 4, y: 1, h: 1, w: 4}. Give prob of sequence mhm.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in nineteen quarters of a millennium?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express v**2 + 21*v**4 + v + 50*v**3 - 49*v**3 + 2*v + 1 in the form r*v + l*v**4 + h*v**2 + z + i*v**3 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**2 + 9*v + 22. Suppose -25 = -3*o + c, 2*o = -28*c + 24*c + 26. What is the remainder when 41 is divided by z(o)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*b**3 + 17*b**3 - b**2 - 4*b**2 + 14*b**3 + 5*b**2.\nAnswer: -b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20377 is divided by 1009.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1008 and 45?\nAnswer: 5040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(-1 - 4\/(-2)). Suppose 3*u = i + 2. Let m(d) = d**3 + d. Let s be m(u). Solve 3 = -s*j + j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4860*l = -4845*l - 705. Suppose -51 - 43 = -2*q. Calculate the greatest common factor of q and l.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 11, h: 2}. What is prob of picking 4 f?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.571 (b) -4 (c) 1 (d) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 78\/11 + -1307\/220. What is the common denominator of b and (-302)\/(-24) - (-45)\/270?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, a: 3}. What is prob of sequence ba?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 2*c + 346 = 0, 156 + 304 = 5*i + 3*c. Let o = -91 + i. Let d(n) = -25*n**3 - 6*n - 6. List the prime factors of d(o).\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - (15 - (8 + -3))) + -177 + 107?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 5*y - 3. Let b be t(-1). Let d be (2 - -38)*(-4)\/b. What is the highest common factor of d and 100?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 2*j + 10, 24*n - 19*n + 9 = 3*j. Does 51 divide 9637\/46 - j\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10538 - 19688. Let o = g - -164741\/18. Calculate the common denominator of o and 95\/2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2821, -2827, -2833?\nAnswer: -2839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 735634 is divided by 408.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11440 is divided by 25.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - 0) + (-4 - -2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {i: 9, y: 5}?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/10 (b) 0.163 (c) 3\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1121 by -2.\nAnswer: 1121\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 159 is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express ((26*l**2 + 15 - 15)*(-l - 2*l + l) + 1 - 1 - 2*l**3)*(1 + 3*l - 5*l - 5) as j*l**4 + s + r*l + n*l**2 + p*l**3 and give j.\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2486429557 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62 = -9*h + 1. Suppose -h*o - 104 = -20*o. What is the least common multiple of 76 and o?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 323438 and 616725.\nAnswer: 2741","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18 + 18 - 36 + 285*i**2.\nAnswer: 285*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 187\/3 - 63. What is the third smallest value in 6, 2\/13, g?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -105 (b) 0.4 (c) 637\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a decade in months?\nAnswer: 312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.804, 0, 1\/3, 0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1387544 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the second derivative of t**5\/5 - t**2 - 5*t. What is the first derivative of m(u) wrt u?\nAnswer: 12*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37 minus -21?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 483759?\nAnswer: 3, 19, 23, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -0.3 (b) 8 (c) 53\/5 (d) -2 (e) -0.5 (f) 0.4 (g) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 855, 70, -8\/5?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 - 12*h**2 - 16*h - 40. Let j be i(-16). Suppose -f - 2*d + 250 = 0, 0*f + j = 5*f + 5*d. List the prime factors of f.\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the second derivative of 0 - 3*n + 10\/3*n**3 - 1\/2*n**2. What is the units digit of z(2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1036*d - 419*d = 0. Determine g so that -48*g**2 - 46\/5*g**3 + d + 288\/5*g - 2\/5*g**4 = 0.\nAnswer: -12, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75454227.\nAnswer: 3, 41, 68161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 15 = 1. Let g = j + 76. Suppose 0 = 3*y + 4*w - g, y - 18 = -0*y + w. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4 (b) -1 (c) -630\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that h**2\/6 + 16734*h + 420040134 = 0.\nAnswer: -50202","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes after 5:57 AM?\nAnswer: 6:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**(-7))\/y**7)\/(y**(-1\/3)*y\/((y*y\/(y**(-2\/7)\/y*y))\/y)) assuming y is positive.\nAnswer: y**(34\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -12*h**2 + 1. Suppose -5*m + 5*b = -20, 0 = 2*b + b + 3. Let j be (2 - -4)*(-1 + (-10)\/(-15)). Let a = m + j. What is y(a)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 2767?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 41 + 59. Let c(b) = 240*b**2 + 3*b - 2. Let o be c(1). Let z = a - o. Round z to the nearest ten.\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 2*l - 4)*(-3 - 4 + 5 + 2 + 2 - 1 + 0 + 1 + 1 + (-1 + 0 - 1)*(1 + 1 - 3) + 3 + 1 - 5)*(-3 + 1 + 0 + (0 + 1 + 1)*(-1 + 0 + 3)).\nAnswer: 16*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 805296*d - 47616 = 804552*d for d.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) + -1*sqrt(68)*6 - (sqrt(68) + sqrt(68)*1*4))\/((sqrt(4) + (sqrt(144) - sqrt(4) - sqrt(4)))*1 + -3*(sqrt(4) + sqrt(4)*2 + sqrt(4) + sqrt(4))).\nAnswer: sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-75200)\/11750)\/((-2)\/(-60)*4)?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes after 8:37 PM?\nAnswer: 5:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the third derivative of -s**7\/1785 - s**6\/170 - 13*s**5\/510 - s**4\/17 - 4*s**3\/51 + 5*s**2. Solve b(p) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 236 + 245 = -77*s + 96 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10926775469 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the first derivative of 11*s**3\/3 + s**2 + 3*s + 20. What is the remainder when i(-2) is divided by 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c - 196 - 404 = 0. Suppose c = 6*p - 188. Does 6 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - 3*p - 9, 5*p = 5*q - q - 15. Let m be (-7 - (q + -5))*(-58)\/(-4). Calculate the remainder when (7 + -3)*m*(-1)\/2 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + l = 11 + 4, 3*l - 5 = -z. Suppose -z*p + 2*p = 0. Let i = 0 - p. Solve i = 3*v + 5 + 1 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41 is divided by ((-5)\/(-10))\/((-7)\/(-14))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 240790, 240786, 240780, 240772, 240762, 240750?\n\"Answer: -p**2 - p + 240792","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:16 AM and 1:05 PM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(2112) - sqrt(2112)*-2 - (sqrt(33) - (sqrt(33) + sqrt(66)\/sqrt(32))))\/((-1*(sqrt(22) - sqrt(66)\/sqrt(3)) + sqrt(22))\/sqrt(2)))**2.\nAnswer: 28195\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 400, 787, 1174, 1561, 1948, 2335?\n\"Answer: 387*d + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -12*t**2 + 695*t + 174. Let w = 4 + 11. Calculate the remainder when n(58) is divided by w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*b = -38*b + 148902. Is 83 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 36475966 to the nearest integer?\nAnswer: 332","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in c**3 - c**3 - 3*c**3 + c**3.\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*u = 8*n - 22*u + 32, 5*u - 12 = 3*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -2*k + 2765. List the prime factors of k.\nAnswer: 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -2*g - 13. What is q(-9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from viivvvviiivi?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 75910644?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 - -13. Suppose -l - 3 = -g. Let c(v) = v**3 - 5*v - 1. What is the units digit of c(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -2*i. Let g(r) be the third derivative of r**4\/4 - 11*r**3 - 630*r**2. Determine h(g(j)).\nAnswer: -12*j + 132","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5125096247?\nAnswer: 47, 1949, 55949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/4)\/((-63)\/18)?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8094 is divided by 449?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bh when two letters picked without replacement from {b: 2, m: 1, h: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yfhfz. What is prob of sequence fzf?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -21 - 0.68\nAnswer: -21.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -189378 - 7881 + 2150 - 16024 + 3*m.\nAnswer: 3*m - 211133","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 18*d**3 + 1087*d**2 + d + 436964 wrt d?\nAnswer: 54*d**2 + 2174*d + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/48 and 31\/488.\nAnswer: 2928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 6 = 3*n. Suppose -n*b = -0*b. Factor b*u**4 - u**3 - u**4 + 0*u**2 + u**2 + u.\nAnswer: -u*(u - 1)*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**2 - 29*x\/3.\nAnswer: x*(9*x - 29)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*z = 178 - 266 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m**4\/2 - 9305*m**3 + 17538485*m**2\/2 - 206459340*m + 1230768360 = 0. What is m?\nAnswer: 12, 1849","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.2 (b) -33823 (c) 3231\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-40) + 31\/155. What is the closest to 0.1 in 3, w, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*d**3 - 3*d**3 - d**3 + (d**2 - 3*d**2 + d**2)*(-8*d - 6*d - 12*d) to the form v*d**3 + j + r*d**2 + w*d and give v.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d - 5. Let k(p) = 1. Let z(c) = -5*k(c) - r(c). Let w(u) = -28*u. What is w(z(n))?\nAnswer: -28*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 50765*r - 2. Let q be x(2). Suppose 0 = 2*p - 3*u + 87985, -q - 118467 = 5*p - u. Round p to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 122 + 10101101?\nAnswer: 10102000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 19755454243\/78 + -1013026725\/4. Let y = f - 18373. Calculate the common denominator of y and -79\/16.\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 34 = -5*j. Let t = 22 - j. Suppose -2*x + 258 = 4*l - 46, -t*x = 5*l - 385. What is the tens digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-10) - (-255)\/25. What is the greatest common factor of x and 70?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f**2 - 152*f + 420 = 0 for f.\nAnswer: 3, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -304649085 divided by 771?\nAnswer: -395135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-222 + 222 + 50*z)*(-4 + 4 - 2)*(-11*z + 19*z - 12*z) + (0 + 0 - z)*(-z + z + z) to o*z + p*z**2 + l and give p.\nAnswer: 399","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 34711\/5 + -6942. Which is the second smallest value? (a) 0 (b) n (c) -0.2 (d) 1 (e) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.02 - 0.09. Let v = d + -0.03. Which is the nearest to -2\/3? (a) 0.4 (b) v (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 358 = -2*u, -5*u = -3*z - z + 720. Let c(d) = -297*d - 15428. Calculate the remainder when z is divided by c(-52).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 2*k + 21 = 0, -o - 9 = -594*k + 596*k for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -32 - -152. Let f = -479\/4 + t. What is the second biggest value in f, 25, 4\/9?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 + 16. Suppose -33 + f = r. Let h = -5 - r. What is the smallest common multiple of h and 16?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6117 is divided by 120.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, 0, -99 in decreasing order.\nAnswer: 0, -16, -99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:28 PM and 7:10 AM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4466156 (base 7) to base 16.\nAnswer: -8758a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 895034 - -2275?\nAnswer: 897309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**3)**(7\/9)\/(i\/(i**1*i)*i\/i**(-9\/5)) assuming i is positive.\nAnswer: i**(8\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (-5 - (117 + (2 - 9))) - (-125 + 115)?\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 208*p**3 - 6*p**2 + p - 12. Let k be b(-4). What is the remainder when (-4)\/(-46) + (k\/46)\/(-2) is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ckkbh. What is prob of sequence bk?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes after 8:36 PM?\nAnswer: 8:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 95163?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.49581 + -0.00419. Which is the nearest to 0? (a) -1\/9 (b) w (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -977*i + 1926*i - 952*i.\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 4*j - 58 = 0, 0 = -4*u + 4*j + 130 + 22. What is the greatest common divisor of 14 and u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1755924, 7023747, 15803466, 28095081, 43898592?\nAnswer: 63213999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 49, -62, -247, -506, -839, -1246?\n\"Answer: -37*b**2 + 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15103 - -15100. What is the second biggest value in 3\/7, -2\/3, 0.2, v, 8?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**3 + 2*o**2 + 2. Let n be b(-2). Suppose -u - 6 = -2*k, -2*u - n*k - 2*k + 28 = 0. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 3*i + 7769 = 0, 2*i + 31020 = 4*a - 0*i. Suppose 2369 = s + a. What is s rounded to the nearest one hundred?\nAnswer: -5400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -363*m**2 + 51545*m + 142 = 0. What is m?\nAnswer: -1\/363, 142","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 5, 0 = -s + 3*m - 0*m - 35. Let f be (15\/s)\/((-2)\/(-8))*-1. Is 6 a factor of (-621)\/(-21) + f\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x - 3*x - 5, -5*a - x - 21 = 0. Let i be (10\/a)\/((-2)\/4). Let p = 4 + -3. Calculate the greatest common factor of i and p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5247, 10488, 15739, 21006, 26295, 31612, 36963?\nAnswer: 42354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.8242 + -12.643\nAnswer: -11.8188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -132*h + 92*h - 8 - 32 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 324614.\nAnswer: 2, 101, 1607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 2*n**2 + 36*n + 43. Let d be t(-17). Suppose -4*b + b = -9. Suppose o - b*w = d, 0 = 5*o + 3*w - 5 - 4. Solve p + 2*p - o = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*c - 37 - 163 = 0. Solve -c = -19*r + 11*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(-1))**(-48))**46 assuming f is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-32)\/(-3) - 11)\/((-2)\/4254)?\nAnswer: 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5632 is divided by 1877?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21220002120211 (base 3) to base 14.\nAnswer: 7b27b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1076939978667478 + -1076940160390325.99000047. Let j = -181722847 - d. Let b = j - 0.99. What is b rounded to 7 dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 7*o**3 + 2*o**2 + 2*o + 1. Suppose -5*u + 3 = 8. Determine z(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -309682 times 0.1?\nAnswer: -30968.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -13*d - 7. Let w be n(10). Let r = w - -371. Suppose 2*y - 5*y + r = 0. What is the greatest common factor of y and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/(-14) - (-96)\/28. Solve 3*c + 4 = -4*x - 6, -16 = f*x - 2*c for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 266152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 - -6349710?\nAnswer: 6349707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -5*r - 10, 0 = n - 5*r - 26 + 4. Suppose -2*i = -2*f + n, -i - 17 = -4*i - f. Suppose 4*g - 96 = i*p, -2*p = g - 11 - 13. Does 13 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 0*o - 3*d - 18 = 0, 0 = -o + 2*d + 2. Let v = o - 7. Find the second derivative of -2*p**4 + p**3 - 3*p - p**v wrt p.\nAnswer: -24*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -142.0567 + 93?\nAnswer: -49.0567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1813 and 0?\nAnswer: 1813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24490844 is divided by 463.\nAnswer: 459","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 10*(12\/(-56))\/(228\/133)?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.8? (a) 0.6 (b) -3\/8 (c) -3 (d) -5 (e) -20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 170711 divided by -55?\nAnswer: -170711\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -2*r**2 - 3*r**2 + 4*r**2. Let l(y) = 1 - 282*y + 5 + 243*y. Let g(s) = 2*s - 1. Let z(k) = -6*g(k) - l(k). Determine z(c(j)).\nAnswer: -27*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24064 and 725248.\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 y when two letters picked without replacement from pyfcppap?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 102104022 - 3?\nAnswer: 102104014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6*(0 - 8\/(-12)). Let n(o) = o**3 - p + o**2 + 4*o + 10 - 5*o. What is n(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 126 - (-14 + -117 + 212).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**18*u*u*u)\/(u*u\/(u*(u*(u\/(u*u**(-16)\/u))\/u*u)\/u*u*u)*u*u) assuming u is positive.\nAnswer: u**38","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 12400717 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 70611?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is (4486904\/6)\/(704\/528) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -34.05977 - 352\nAnswer: -386.05977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v - m = -1 - 1, 5*v + m = -5 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nffiufinnn. Give prob of picking 1 f and 1 n.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(1\/4))**(-2\/77)*((h*(h\/(((h\/(h\/h**1*h*h))\/h*h)\/h)*h)\/h)\/h)**(-13))**15 assuming h is positive.\nAnswer: h**(-90105\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32143 is divided by 19?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 810420 is divided by 5263?\nAnswer: 5181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 96103764?\nAnswer: 2, 3, 2669549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -239 (base 12) to base 15\nAnswer: -173","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.3 + 2. What is the nearest to -4 in -1, u, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 292346*w - 43*w**2 - 292346*w.\nAnswer: -43*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 205889 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, 179887, 3\/5, -1\/3, 6 in descending order.\nAnswer: 179887, 6, 3\/5, 1\/2, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -d (base 16) in base 8?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.320277 and 50570.\nAnswer: 50570.320277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/(12\/33*-22*(-2)\/(-8)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2 and 0.042.\nAnswer: 2.042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*z + 1 = -37. Let o(t) be the third derivative of 0*t**4 + 0 + 4*t**2 - 1\/3*t**3 + 1\/20*t**5 + 0*t + 1\/120*t**6. Give o(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 33 (b) 5 (c) -9851 (d) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - 162 = -6750*x + 6755*x, -2*x = -5*i + 270 for i.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 6, o: 6}. What is prob of picking 3 o and 1 u?\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -76 - (-113 - -24) - (15 - 0).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 5, 135\/17 in descending order.\nAnswer: 135\/17, 5, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 2*d = 3*d + 5, u + d + 1 = 0. Suppose -3*j + 4*j - 16 = u. What is the remainder when 24\/(-30) - (-1422)\/15 is divided by j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*f**2 - f**2 - 20011*f + 60035*f - 5*f**2 - 20012*f - 20012*f.\nAnswer: -8*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5175950, 5175944, 5175940, 5175938, 5175938?\nAnswer: 5175940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -126 * 0.99.\nAnswer: -124.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4671a + 0?\nAnswer: -4671a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6079944?\nAnswer: 2, 3, 13, 1499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1231 - -2?\nAnswer: -1225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 32 and 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6584 + 6584 + 2*y.\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2346*b**3*w**3 - 4*b**3*x**2 - 2*b**3*x - 2*b**2*w - 170*b**2 + 4*b*w**3 - 2*b*w**2*x**2 + 10*w**2*x wrt b.\nAnswer: -14076*w**3 - 24*x**2 - 12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + -8 + 6 + 4 + 0?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*l = 50*l. Let n be (1 + (-1)\/1)\/2. Let j = n - l. Solve 0 = 2*i - j*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3, 18, 29, 30, 15, -22, -87, -186?\nAnswer: -325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, 1.86, -4, -2, 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 193319 in -0.3, -14\/15, -1\/2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.2 and 0.3920215.\nAnswer: 0.1920215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 383137 is divided by 205?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -33, 3, -6, 4, -5.\nAnswer: -33, -6, -5, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37300397.\nAnswer: 17, 797, 2753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 7 = -5*u + 192, u = 2*f + 38. Solve u*z + 41*z = -243 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*j = 36*j + 176. Calculate the common denominator of 41\/88 and 12\/j*576\/486.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 340856 a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.46 less than 4908.515751?\nAnswer: 4909.975751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**2 + 40*g - 53. Let f be s(39). What is f rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l = 4*t - 29, 240*l - 32 = 240*l - 4*t + 8 - 8 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (561\/(-935))\/((2223\/90)\/19)?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*o + 10*o - 7*o - o**3 - 2987.\nAnswer: -o**3 - 2*o - 2987","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y. Let b(r) = r**2 - 4. Suppose 2*g + 18 = -4*w, 3*w + 14 = -2*g - 0*g. Let c(m) = 2*m**2 - 7. Let t(x) = w*c(x) + 7*b(x). Give t(i(k)).\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 3*x + 5. Let l(f) = 8*f + 10. Calculate 17*a(h) - 6*l(h).\nAnswer: 3*h + 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange a + 0*a - 5*a + 2*a + 3*a - 3*a + (-4*a - 2*a + 4*a)*(-6 + 5 + 3) - a + a - 2*a + 0*a - a + 0*a to the form f + n*a and give n.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 5 + 30. Suppose -3*r + 6*r = 5*o - 100, -3*r = -4*o + 80. Find the second derivative of -o*f + 6*f - d*f**3 - 5*f**3 wrt f.\nAnswer: -72*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 4*b + 3. Let m(t) = -19*t - 343. Calculate -m(k) - 5*s(k).\nAnswer: -k + 328","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 96.8 or 0.049?\nAnswer: 0.049","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4.64 (b) 0 (c) 1.1 (d) 1\/3 (e) -3\/31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*s*u**4 - 10*s*u**3 - 136*s*u**2 + 3*s - 12*u**4 wrt u?\nAnswer: -96*s*u - 60*s - 288*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27*2\/120*(-2)\/((-6)\/(-1)).\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 divided by -150555.\nAnswer: 7\/50185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.9*0.372.\nAnswer: -0.3348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/217612440 and -109\/540?\nAnswer: 217612440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 302, 1159, 2572, 4541, 7066?\n\"Answer: 278*s**2 + 23*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((-2*(sqrt(2548) + 0) + -5)*6)**2*-1.\nAnswer: -367817 - 10080*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100101000110 (base 2) to base 13.\nAnswer: 1108","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (61*m - 42 + 42)*(28*m - 6*m - 11*m - 5*m - 6*m + 449*m**2).\nAnswer: 27389*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 3353393, 6706793, 10060193?\n\"Answer: 3353400*f - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 85 + -10 + -29 + -35?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.569 (b) -77 (c) 1 (d) 2\/17 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -4*j - 3. Let h = 1 + -6. Let r be s(h). Let m = r + -11. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in eleven quarters of a hour?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 82357259 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 56268*k + 5 - k**3 + 8 - 56269*k in the form l*k**3 + o + y*k + r*k**2 and give o.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**2. Suppose -2*c = 2*p, 6*p + c + c = 5*p. Let i(s) be the second derivative of 0*s**3 + 7\/12*s**4 + p + 0*s**2 - 6*s. Calculate w(i(z)).\nAnswer: -49*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.5 + -11.5. Let q = -1323 + 1323.3. What is the closest to h in 2\/9, q, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 0 (b) -0.2 (c) 32 (d) 2\/21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3\/4, 37, -1, 90?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -24265*s**2 + 161*s + 92?\nAnswer: -48530","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 3 + 2*f)*(-94*f - 2097 + 187*f - 48*f - 48*f) to u*f + b*f**2 + x and give b.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**2 - f + 1. Let h(q) = -7*q**2 + 9*q - 5. Let t(j) = h(j) + 6*w(j). Let o be t(4). What is the third smallest value in 1, 1\/2, o?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:53 PM and 10:18 PM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -16*b + 297. Let w be v(18). Let y(f) be the first derivative of 7\/3*f**3 - w + 2*f**2 + 0*f. What is the second derivative of y(h) wrt h?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -3 + -5 + 5 + -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3022645 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(121) - 2*(sqrt(121) - (sqrt(121) - -1*sqrt(121)))) + 1*sqrt(121)*-5)\/((sqrt(44)\/sqrt(2)*6 - sqrt(22))\/sqrt(2)*-5).\nAnswer: 2*sqrt(11)\/25 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 374*j - 824*j + 240*j = -17640 for j.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 5*h**2 + 1)*(3 - 3 - 2*h - 12).\nAnswer: 10*h**3 + 60*h**2 - 2*h - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1006 a factor of 134371?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 127924 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -153357936?\nAnswer: -5\/153357936","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6067204433 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 178 + -190 + (4 - 0) - (68 + (-5 - -3))?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence izzz when four letters picked without replacement from iziiiigiiigzziiiig.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 59*b + 1770. Give k(-30).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 64*h**2 + 807*h**5 - 743*h**3 - 237*h**5 + 743*h**3 wrt h.\nAnswer: 34200*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -184485823 + -450.\nAnswer: -184486273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4.6 or 22\/5?\nAnswer: 22\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, b: 1, v: 2}. What is prob of sequence vv?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 3*k**2 - 9*k + 1. Let g be a(4). Solve 2*p = u + 8, 4*p - g = u + 5 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -86 and -0.3?\nAnswer: 25.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y + 722. Let s(n) = 7*n**2 - 4*n + 126. Calculate s(g(z)).\nAnswer: 7*z**2 + 10104*z + 3646226","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**2 + 8*q - 16. Let b be k(-9). Let i be ((-72)\/(-14))\/(b\/(-49)). Find the common denominator of 31\/11 and (14\/(-21))\/((-10)\/i).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 57 + 66. Let u = 71 - r. Let s = -50 - u. What is the smallest value in -5, 3, -3\/7, s?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17 and 2873.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/11, 1\/7, -129.09, -2\/7, 3\/4?\nAnswer: -129.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9857380 by -1.\nAnswer: -9857380","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1153 = -33*j + 1285 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9.553 + 0.047. Let u = y + -10. Let w = 0.03755 + -0.33755. Put 0, -0.1, w, u in decreasing order.\nAnswer: 0, -0.1, w, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the second derivative of -t**3\/3 + t. Let u be -2 + 2 + (-18)\/(-6). Let g(m) = -6*m + 0 + u*m + 0. Give o(g(s)).\nAnswer: 6*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 352 = 6*z. Suppose -21 = -3*f + 45. Calculate the highest common divisor of z and f.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 173058666 and 14624676.\nAnswer: 1038351996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 123 - 95.5. Let l = x + -27. Which is the second smallest value? (a) 0.2 (b) l (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*f = -5*b - 118, -50*f + 2*b - b - 60 = -53*f for f.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 467 - 463. Suppose g = 4*i - 4, 2*m - i + 371602 = 0. What is m rounded to the nearest ten thousand?\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**3 - 111*f**2 - 2236*f - 7289. Determine p(-86).\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*-22152260.\nAnswer: 6645678","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.378 rounded to 1 dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/(-38 + -4) + 18\/126. Solve z = -289*q + 307*q - 54 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -337*o + 1466 + 37 + 519 = 0 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 110227 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 y = -33.445 - -5.4582. Let p = y - -28. Let s = 0.023 - p. Round s to 3 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*q + 65*q**5 - 7 + 8 - 33 + 6 wrt q.\nAnswer: 1300*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*f + n, 0 = 4*f - 0*f - 5*n - 28. Let x be f\/24 - 1\/4. Which is the closest to 3? (a) 1 (b) -0.4 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 62 by -5.\nAnswer: -62\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1\/8, -215, -0.1 in decreasing order.\nAnswer: 2, -0.1, -1\/8, -215","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6, -32, -140, -384, -818?\nAnswer: -1496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 3*z)*(4 + 2 - 5) - 3*z + 11*z + 9*z.\nAnswer: 20*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6720 divided by -1680.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24713*p**3 + 24720*p**3 + 1 - 49436*p**3 - 16*p - 2*p**4 to the form v + r*p**3 + j*p**4 + c*p + t*p**2 and give c.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 1 = 3*s, 0 = -5*f + 3*f - 3*s + 4 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2198434657.\nAnswer: 31, 89, 463, 1721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -22738598 - 202.1216\nAnswer: -22738800.1216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 3*y - 13 = -g, 5 = -y. Let h = 16 - 9. Calculate the remainder when h is divided by g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2197\/12 - 183. Is c greater than or equal to -17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 26 = -s + 2*x, s = -4*x + 16. Sort s, 2, -1 in increasing order.\nAnswer: s, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26\/(-16)*(-746)\/(-4849).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*n**4 - 4*n + n**2 + 4*n + 1 + (5*n**2 + n**4 - 5*n**2)*(-55 + 83 - 45).\nAnswer: -15*n**4 + n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 165 = j. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 5 = -h - 5*m, -4*h - m + 56 = 0. Let o be (-6)\/10 + 69\/h. Suppose 21 - 101 = -o*z + 2*t, 0 = 3*t. Is z a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 11*d + 101. Let c be n(-9). Let h(g) = -49*g - 3*g**2 - 48*g - 8 + 138*g - 52*g + c*g**2. Calculate h(-10).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/58)\/o*o**(1\/21)*o*o)\/(o**(-21\/2))**19 assuming o is positive.\nAnswer: o**(122144\/609)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**3 + 23*i**2 - 11*i - 690. What is the remainder when h(-14) is divided by 60?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2*2\/(-8)*-6. Suppose -3*a - a - 3*m + 33 = 0, -5*m + 15 = 0. Suppose 5*l - 11 = p, a*l - b*l - p = 5. Is l at least as big as 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + 4. Let y = -0.541 + 0.141. Let u = 6 + -5.6. What is the closest to 4\/9 in t, y, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 61 = 69, 4*s + 5*k = 26 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-324)\/(-378)*(-14)\/(-6). Solve -m = -2*m + k for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 596, 687, 778, 869, 960, 1051?\nAnswer: 1142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 851 + -707. Is g a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11 + -23. Let f = 13.2 + b. Round f to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 (base 15) in base 16?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of d**2*x - 44*d*n - 11445*d*x - n*x - 2421*n - 154 wrt d.\nAnswer: 2*d*x - 44*n - 11445*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 2*y - 92. Suppose s - y + 57 = 0. Let n(z) = -z**2 - z + 6. Calculate n(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 716476624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*q + 4. Suppose -d = 7 - 2, q*z - 4*d - 460 = 0. List the prime factors of z.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48036 a multiple of 451?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5\/((-25)\/10)*2\/4. What is the lowest common multiple of p\/(-2)*2*2 and 86?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 5 = 0, -5*q = 2*o - 6*o + 205. Suppose 0 = -9*t - 13 - o. Let u(m) be the third derivative of m**4\/24 + 4*m**3\/3 - 20*m**2. Calculate u(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the first derivative of 2*u**5\/25 + 74*u**4 + 92248*u**3\/5 + 108928*u**2 + 1083392*u\/5 + 1002. Solve b(c) = 0.\nAnswer: -368, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1110 (base 2) to base 16.\nAnswer: e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -15, -3\/4, 41267?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/19 (b) -1.14 (c) -3\/13 (d) -0.11 (e) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, a: 1, j: 1, r: 2, w: 1, c: 1}. Give prob of sequence rc.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1874399279 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -63 - 43 - 38 + 34 - 38 - 1943*z. Let h be u(-36). Round h to the nearest 1000.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4492273 is divided by 19?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -102*z**2 + 1. Let p(s) = -2*s. Give w(p(q)).\nAnswer: -408*q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23749?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -c*k**6 - 11*c*k**3 - 4*c*k**2 - 140*c*k wrt k.\nAnswer: -120*c*k**3 - 66*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y**3 + 1920*y**2 - 24309*y - 90288 = 0. What is y?\nAnswer: -3, 16, 627","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 - 3*q**2 + 26*q - 14. Let y be k(-7). Suppose 105 = 5*a - y. Solve 17 = -j + 5*d, -j + a - 8 = 5*d for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 7*m - 7. Let z be s(1). Solve -3*r + z*r = 3 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, 57\/113, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 179 + 49 = 38*g for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000703398 to 6 decimal places.\nAnswer: -0.000703","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*t**3 - 2*t**3 - 10*t**3 + 32*t**3 + t**3.\nAnswer: 18*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {v: 5, i: 2, t: 3, g: 2}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhtthhttthtthtthnhht. Give prob of sequence hhnh.\nAnswer: 7\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -8\/4415101 or -1?\nAnswer: -8\/4415101","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 528 and 5809782?\nAnswer: 46478256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*n - n - n)*(-2*n**2 + 0*n + 0*n) + 2*n**3 + 0*n**3 - 27*n**2 + 26*n**2 + 2.\nAnswer: -2*n**3 - n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = f - 40. Calculate the greatest common factor of 50 and f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(2\/15)\/z)\/(z*z*z*z*z**2*z*z*z*z)*(z\/(z\/(z\/z**1)))**(1\/39) assuming z is positive.\nAnswer: z**(-163\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than -456\/12263197?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 235 is divided by 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5147, 5, 3 in decreasing order.\nAnswer: 5147, 5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1476)\/(-205)*(-40)\/(-6). What is the highest common factor of 168 and f?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2*n**3)*(-441*n - 472*n - 88*n - 472*n).\nAnswer: -2946*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 383092027 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*p + 9*p = -13*p + 66*p + 1260 for p.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-61 + 61*v - 61*v + v**3)*(11 + 2 + 2)*(1 - 2 - 1) - v**3 + 2*v**3 + 3*v**3 in the form r*v**2 + d*v + z + k*v**3 and give z.\nAnswer: 1830","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 100 a factor of 1439?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 less than 6417?\nAnswer: 6416.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (17263\/(-849))\/(2*(-10)\/60)?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes after 6:42 AM?\nAnswer: 4:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -24073 (base 10) to base 9\nAnswer: -36017","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(405) - (sqrt(405) + 3 + 1)) + 6*1*sqrt(405))**2*-3.\nAnswer: -43788 + 1296*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(2\/3)\/z*z)**(2\/5)\/(z**(-3\/2)*z*z*z**(-1\/2)) assuming z is positive.\nAnswer: z**(4\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:32 AM and 5:18 PM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 4 = k. Let t(g) = -3*g - 1. Let o be (-4 - (8 + -13))*(-1 - -2). Let f(w) = 17*w + 6. Let b(d) = o*f(d) + 6*t(d). Give b(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times 2261\nAnswer: 1130.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2867013?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-3)\/(b*b**(-15)*b))\/(b**(-2\/19)\/b*b*(b**6*b)\/b) assuming b is positive.\nAnswer: b**(78\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -0*r + 4*r. Which is smaller: -7\/18 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 852 - 2276?\nAnswer: -1324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-120)\/48)\/((-1)\/(-2))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -76139 - -313060. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 - 9\/1) + 26. Solve -10 = -7*k - q for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**2 - 6*a + 7. Let m be (7\/28)\/(1\/4) + 4. Determine t(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -41330000 to the nearest one million.\nAnswer: -41000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**2 - 796*z - 88594. Give o(-99).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*p - 103*p + 32*p + 525 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3401 + 3603 - 18373 - 12535 = 498*q for q.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -71*l**3 - 3*l + 2. Let j be i(1). Is (-75264)\/j + 8\/12 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 431356?\nAnswer: 2, 107839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*j - 15 = -14*j. Suppose -5*s - 4*q = -30, 5*s - j*s = q - 1. Let d(r) = 19*r + 19*r - 38*r + 4*r**s. Let v(l) = 6*l**2. Determine v(d(a)).\nAnswer: 96*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-5*(sqrt(200) + (sqrt(200)*2)**2 + sqrt(200) + 5)*-1.\nAnswer: 400*sqrt(2) + 16100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 27 and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(128) + -3 - sqrt(2))**2 + -3 + sqrt(98).\nAnswer: -35*sqrt(2) + 104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17*20.\nAnswer: -340","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 77800 and 7495?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 137160?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (4 - 2) + -3 + (4 - 4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -63\/181532 and -17\/44?\nAnswer: 1996852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2073 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: In base 13, what is -1bc1 + -27?\nAnswer: -1c18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -7*j - 2. Let p(f) = f**2 - 10*f - 13. Let k be p(11). Let d(i) = 217*i + 63. Let y(c) = k*d(c) - 63*r(c). Let h(l) = -l**2. Calculate h(y(a)).\nAnswer: -49*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 256*f - 561 - 457 = 774 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50*b**2 + 14*b**2 + 2*b**3 + 16*b**3.\nAnswer: 18*b**3 - 36*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (-3 - (-4)\/32*62).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*g - 54 = -v, -5*g - 352*v = -345*v - 72 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2 times 7.77\nAnswer: 15.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -11*s**2 + 14*s + 58. Let g(t) = -4*t**2 + 5*t + 19. Calculate -3*f(b) + 8*g(b).\nAnswer: b**2 - 2*b - 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -324 + 331. Suppose 3*i + 4*k - 2019 = 0, -x*k = -12*k. What is the tens digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -27 + 32. Calculate the greatest common divisor of 55 and s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/5 and 143 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 11247?\nAnswer: -2\/11247","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in thirteen fifths of a meter?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 12241001 - 1125?\nAnswer: 12235432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86 = 11*i + 486. Let x(m) = -m**3 + 3*m**2 - 3. Let g(z) = -2*z + 56. Let a be g(25). Let s(d) = -8*d**3 + 26*d**2 - 26. Calculate a*s(w) + i*x(w).\nAnswer: 4*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16660*8064.\nAnswer: 134346240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 190, 57, -76, -209, -342?\nAnswer: -475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 - 41*v**2 + 287*v - 3. Calculate o(32).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/((-48)\/(-51)) - 6\/24.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/(-12)*(-26)\/1092*12*6*-29?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 4*q - 30. Let b be g(14). Let f = -10 + 102. Suppose u - f = -b. Is u a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -62373627, -124747257, -187120887?\n\"Answer: -62373630*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 647, 10, -1109, -10 in decreasing order.\nAnswer: 647, 10, -10, -1109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 77\/51 - 3\/17. Let z be (-4)\/(-66)*(2 + 1). What is the nearest to 1 in z, -0.2, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*y**2 - 7480*y + 7480*y.\nAnswer: -5*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 2*v**3 - 28*v**2 + 97*v - 39. Is n(22) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 3*r + 4*r = 2*d + 30, 3*d + 63 = 4*r + 11 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*1*sqrt(833))**2 + (3*-2*sqrt(833))**2 + 1.\nAnswer: 50814","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 - -1. Suppose 2*x - 5 = a*h + 1, 5*x - 15 = h. Let g(j) = j**3 - 3*j**2 + 4*j - 1. List the prime factors of g(x).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 35\/28 - 2\/8. Let g = -16 - -28. Calculate the remainder when (77\/28)\/(s\/12) is divided by g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -381*m + 5913. Let c be y(15). Solve -c*q + 70 = -212*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:24 PM and 3:49 PM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 + 10*w**2 - 5*w - 8. Let o be (10\/(-4))\/((-4)\/(-16)). Let b be t(o). What is the units digit of (-1)\/((-4 + 1)\/b)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*d - 7*d + 18*d + 16*d.\nAnswer: 22*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3488774 and 2788.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.015789268 to 4 decimal places.\nAnswer: -0.0158","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -1738962318 to the nearest 10000.\nAnswer: -1738960000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -6*w**2 - 2*w. Let s(r) = -20*r. What is s(l(d))?\nAnswer: 120*d**2 + 40*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 42\/1092*(12 - 4)\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5467392367?\nAnswer: 19, 109, 769, 3433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-40)\/128*3*175. Let z = -164 - i. Suppose 5*y - h - 2 = 8, 20 = -4*h. Which is bigger: z or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 464 - (2\/(-2))\/(11\/33). Suppose -462*y + a*y = 2390. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/(-4))\/((-2)\/36). Suppose 3 = -3*p + l. Factor 0*m**2 - 2*m**p + 4*m**2.\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -z**2 + 4*z - 4*z + z + z**2 - z + (0 + 0 - 3)*(2*z + 2*z**2 - 2*z) - 1 + z**2 + 1 - z**2 + 0*z**2 + 0*z**2.\nAnswer: -6*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/((-450)\/81)*(-40)\/18?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -64690 smaller than 16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -5717011 (base 8) in base 7?\nAnswer: -16104331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*r**5\/4 + 5*r**4\/2 - 15*r**3 + 35*r**2\/2 - 25*r\/4 = 0. Calculate r.\nAnswer: -5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**2 + 13*x + 10. Let t be a(-10). Let q be (9\/(-4))\/(15\/t). Solve -2*j = -3*f - q*j - 9, 4*f + 31 = 5*j for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:13 AM and 9:46 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4303787 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the first derivative of -8 + 0*u**3 - 2\/95*u**5 + 2\/19*u + 2\/19*u**2 - 1\/19*u**4. Let o(p) = 0. Calculate p.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 - 9. Let f = 15.83 + -15.53. Sort -2\/9, c, 1, f.\nAnswer: c, -2\/9, f, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 7*r**2 - 673*r + 856. What is the smallest common multiple of 2560 and v(95)?\nAnswer: 7680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -4, -0.17, -2\/7, -2\/25, 22.5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2382810.\nAnswer: 2, 3, 5, 79427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -23 - -33. Suppose 4*r + 0*r = -3*s, -r + 3 = 0. Let h be s\/n + 28000004\/10. Round h to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c = -19 + 14 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1002, -3800, -8132, -13728, -20318?\nAnswer: -27632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 2*i - 34 - 32 = 0, 86 = -5*a - i. Let l = a + 11. Sort -4, l, -3 in decreasing order.\nAnswer: -3, -4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y**2 + 3*y**2 - 4*y**2)*(-25*y - 20*y - 43*y).\nAnswer: 176*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-4*(-2*sqrt(15))\/sqrt(5))**2.\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 10*a - 1909*a**2 + 1 + 2 - 1916*a**2 + 3824*a**2. Let p be 2*6*3\/6. Let z be g(p). Calculate the highest common factor of z and 81.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/(49\/14))\/(2\/(-5))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_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: Let u be (2\/3)\/(1\/((-3)\/(-2))). What is the derivative of 15 + c + 0 + u wrt c?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*g - 492 + 248 + 244.\nAnswer: 4*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s + 4*v + 12, -9 = -3*s + 2*v + v. Let p(u) = u + 2. Determine p(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 735576139 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 + -8. What is the third derivative of -u**3 + 3*u**2 + r*u**3 + 7*u**4 - 2*u**3 wrt u?\nAnswer: 168*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 67 + -39. Is h a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1108 is divided by 111?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -390927\/7 - -55717. Let h = -130 - d. Let b = 0.2 + -0.3. Do h and b have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:02 PM and 1:53 PM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3990\/(-41895) + (-859)\/21 - -29.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -50, 159, 516, 1027, 1698, 2535, 3544?\nAnswer: 4731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the first derivative of -812*o**2 - 2207*o - 2482. What is the derivative of v(k) wrt k?\nAnswer: -1624","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13302 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(44)\/(sqrt(4) + sqrt(1728)\/sqrt(12)))**2 + (1*(sqrt(132) + (sqrt(132) - 1*sqrt(132) - sqrt(132))))\/sqrt(12).\nAnswer: 207\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 42*h**4 - 381 + 380 - 32*h**4 - h + 7*h**3 to k*h**2 + g*h**4 + b*h**3 + q + r*h and give g.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -c3 (base 13) in base 15?\nAnswer: -a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.02405 + 0.52405. Put -2, -9, s, 0.6, 1 in decreasing order.\nAnswer: 1, 0.6, s, -2, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -242071 (base 8) to base 12\nAnswer: -40049","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*u, -u = -3*r + 2*u + 1401. Does 58 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1680604, -3361206, -5041808, -6722410, -8403012, -10083614?\n\"Answer: -1680602*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 - -4. Suppose p = -2*r - 8, 2*u - 3*r - 7 = 9. Solve -u*d = -5*h - 3, 4*h + 5*d + 8 = d for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 7, -2, -1, 209, -27, -3 in decreasing order.\nAnswer: 209, 7, 3, -1, -2, -3, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 315 and 280?\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -925*f + 1844*f - 609*f**4 - 919*f + (0*f**2 + 4*f**2 + f**2)*(5*f**2 - 4*f**2 - 3*f**2).\nAnswer: -619*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 49 + 5 = -2*c, 2*c - 3*y = 23. Let q(n) = -n**2 - 12*n - 4. What is the remainder when q(-5) is divided by c?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -3*k + 2*h, 3*k - h + 2*h - 13 = 0. Suppose -k*i + 19 = 3. Let d = -278 + 279. Solve 3*o + 3 + d = -s, -i*s - 16 = 2*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39072 (base 10) in base 6?\nAnswer: 500520","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.64 - -0.34. Let h = -1.2 - d. What is the nearest to h in 1, -0.5, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -80*x**3 - 3*x**2 - 3*x - 1. What is a(-1)?\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9 + -5. Let r = a - 1. Let c = r - -15.00000126. What is c rounded to seven decimal places?\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1038327 at most -1038327?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 160, -21, 3, 4, -3, 5, 43 in descending order.\nAnswer: 160, 43, 5, 4, 3, -3, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 3*t = -11, -5*q + 2*q + t + 9 = 0. Solve -h - 5*p - 5 = 0, -3*p - q = 2*h - 6 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/2*2\/4*2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3598 + 7982. Is b a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 2*g + 4 = 5*s, 3*s - 36 = 3*g. Solve s*o + 4*l - 23 = -0*l, 2*o - 16 = -5*l for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 6946 and 6948 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 308920287 rounded to the nearest 100000?\nAnswer: 308900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5.01 - -26.46. Let b = 21 - f. Sort b, -0.1, -4 in increasing order.\nAnswer: -4, b, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-78)\/(-2093)*-115)\/((-10)\/(-168))?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/(-32)*3\/9)\/((-54)\/16).\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the first derivative of n**6\/20 + n**4\/2 + 2*n**2 + 7. Let b(w) be the second derivative of f(w). Find the second derivative of b(v) wrt v.\nAnswer: 36*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(1 - (-70)\/(-50)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence auv when three letters picked without replacement from avvavqsubusa?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14 - -18. What is the third smallest value in q, 0.5, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**2 - 17*h + 68. Let d be o(10). Put d, 1, -179 in decreasing order.\nAnswer: 1, d, -179","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2292 - 2243. Calculate the highest common factor of 833 and n.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 5 + 352 - 159 - 106 + (0 - 2 + 4)*(-2 + 3 + 1))*(5*l + 11 - 3 - 4*l).\nAnswer: 88*l + 704","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 7}. What is prob of sequence hh?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**2 + 16*q - 4. Suppose 9*g = 8*g - 18. What are the prime factors of n(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**2 - 2*k - 4. Let y be q(4). Solve 7*z - y*z - 15 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000004081 rounded to 7 decimal places?\nAnswer: 0.0000041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes after 8:39 PM?\nAnswer: 11:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**3 - 2*j**2 - 13*j + 3. Let a be w(6). Suppose l + 8 - 22 = 0. Suppose 0 = -g + l + 9. Calculate the highest common divisor of a and g.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106*o + 197*o - 4004 = 0. Are 44 and o unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 - 2. Calculate the lowest common multiple of (-500)\/(-18) + -7*y\/126 and 20.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -2*n**2 - 124*n + 1772. Determine r(12).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -25*r - 15. Let x be w(2). Let y = -58 - x. Solve 2*h + 26 = -5*b, 18 = -3*h - 4*b - y for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1162639*g - 1109063.\nAnswer: 1162639","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 20 = 6*q. Let w be q\/(-18) + 2\/(-9). Let z(d) = -d + 7. Calculate z(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the first derivative of -5*q**2\/2 + 41. Let c(a) = 35*a. Let p(y) = -5*y. Let f(s) = 2*c(s) + 15*p(s). Calculate f(n(r)).\nAnswer: 25*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -20 - -29. Let j(n) = -9*n**2 - 6. Let l(h) = 18*h**2 + 12. Let z(m) = t*j(m) + 4*l(m). What is the derivative of z(f) wrt f?\nAnswer: -18*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 1220?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*y + 33*y - 20*y + 1 = -3*k, 0 = 3*y - 3*k - 3 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 - -8. Is -3 - 26*39\/n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2216, 2181, 2116, 2015, 1872, 1681, 1436, 1131?\nAnswer: 760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(-4)*4004\/(-273). Let u = -24047\/7590 - -2\/1265. Let w = u + c. What is the nearest to 1\/4 in w, 1, -4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w + 2. Let n be b(-2). Let i = 3 + n. Solve 0 = -i*u + u + 8, -2*p = u - 6 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4380 + 4803. Calculate the highest common divisor of 189 and v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 74971451 to the nearest integer?\nAnswer: 8659","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 704997 is divided by 7421?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1183677 is divided by 98595?\nAnswer: 537","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1574 is divided by 419.\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + 5 = 0, -4*f - 3 = -3*q + 2*q for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 2*r**3 + 49*r**2 + 29*r + 122. Let f be q(-24). Is f equal to 1753?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the first derivative of -v**3\/3 - 3*v**2 - 2*v - 1. Let q(z) = z + 4. Let d be q(-8). What is the units digit of b(d)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -5*a - 15, -3*a - 15 = -5*f - 5*a. Let w = 84 - 56. Suppose x - 2*u - w = 3*u, 0 = 3*x - 2*u - 19. Sort x, -1, f in ascending order.\nAnswer: -1, x, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1022\/38 - (-14)\/133. Suppose -3*m - 2*c = -11, 6*c + u = 5*m + 5*c. Let s be (8\/10)\/(m\/25). Solve -d + 22 = 2*d - s*h, 3*h = d - 14 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26 is divided by (-118)\/(-649) + (150\/22)\/1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.4654 - -0.0564. Round c to two dps.\nAnswer: -0.41","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-4)\/(-8))\/((-1)\/4). Calculate the remainder when (x - -9) + 0\/(-2) is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 12 = 6*s, -3*s - 1028 = 5*l. Let w = l + 413\/2. Let u = -10 + 6. Which is the third smallest value? (a) u (b) -0.4 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5\/(-3) - 4\/12. Let s be 0\/(l + 0\/(-2)). Let v = 3 + -3. Solve x + y - 2*y + 1 = s, v = y - 2 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 8*x + 4 = 0, 0 = d + 5*x + 7982633 - 7982648 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 - -14744950107845.\nAnswer: 14744950107844.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22447 = 467*d - 18244 for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4724306855 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 58357, 58658, 58959, 59260, 59561?\n\"Answer: 301*w + 58056","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c - 4*c + 5*c - 24 + 17. Let s(d) = 6*d - 20. Give -14*n(q) + 5*s(q).\nAnswer: 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22*q + 4*q + 56*q)*(-705*q + 63 - 128 + 65).\nAnswer: -26790*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/7 of a week in minutes?\nAnswer: 4320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20290\/(-2029)*(-3)\/85?\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-16))\/(42\/(-48))\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.430808 microseconds in days?\nAnswer: 0.0000000000512825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*m**3*w**2 - 7*m**3*w + 17*m**3 + 15930*m**2*w**2 - 77*m**2*w - 183*m*w**2 - 17*w wrt w.\nAnswer: 4*m**3 + 31860*m**2 - 366*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-12) - (35 - 9)*2\/(-176)?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the second derivative of -v**5\/10 + 139*v**4\/12 - 403*v**2\/2 - 48*v + 4. What is the derivative of r(c) wrt c?\nAnswer: -6*c**2 + 278*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1801 (base 15) to base 2.\nAnswer: -1010000111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*x - 9*x + 13 = -5*o, -3*x + o = 11 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 15, -6\/5, -17\/32 in increasing order.\nAnswer: -6\/5, -17\/32, 0.3, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 100*j. Let g(n) = 960*n - 6. Give d(g(t)).\nAnswer: 96000*t - 600","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j**3 - 106 + 106.\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15630*y**3 + 3*y + 15640*y**3 - 3*y.\nAnswer: 10*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*m - 38*m + 270 = 0. Suppose -r + 5*l = -3*r + 79, 0 = r + l - 32. Let i = r + m. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u - 6. Let a be p(6). Suppose a*y + 3*y - 49 = -j, -5*y + 2*j + 100 = 0. What is the smallest common multiple of 12 and y?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37 + (-48 - -32 - 17).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-690)\/(-25))\/(9\/330). Suppose 0 = 6*l - f - 716. Is 32 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the third derivative of -g**6\/120 - g**5\/20 + 2*g**3\/3 + 3*g**2. Factor u(h).\nAnswer: -(h - 1)*(h + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the third derivative of -p**5\/60 + 7*p**4\/24 + 2*p**2. Calculate the remainder when 29 is divided by v(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.06, -33, 1\/3, 0, -0.4 in descending order.\nAnswer: 1\/3, 0, -0.06, -0.4, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 9*t**2 + 469*t + 1790. Let k(n) = 4*n**2 + 230*n + 897. Let z(q) = -3*g(q) + 7*k(q). Differentiate z(j) with respect to j.\nAnswer: 2*j + 203","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7889173 to the nearest integer?\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 2*g**3 - 20*g**2. Let p be q(10). Solve p = f - 2*f - 3 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4288 and 8?\nAnswer: 4288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, b: 2}. What is prob of picking 2 x?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3194, 0, -15, 5 in ascending order.\nAnswer: -15, -4, 0, 5, 3194","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*2*(-2)\/4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -11*m**2 + 155*m - 6. Let a(f) = -100*f**2 + 1395*f - 55. Let o(w) = -6*a(w) + 55*r(w). Factor o(d).\nAnswer: -5*d*(d - 31)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*p**2 + 57*p**3 - 50*p**3 - 4 + 4.\nAnswer: 7*p**3 + 11*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 584825.\nAnswer: 5, 149, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 4*z**2 - 1. Let d be c(-1). Let k(y) = y**3 - y**2 - y - 1. Does 7 divide k(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -34 + 24. Suppose 0*o = -3*o - 12. Let b be 22\/(-154) - (-72)\/14. Sort o, a, b in decreasing order.\nAnswer: b, o, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -6*g + 2*g. Suppose -3*m + 121 = -11. Calculate the remainder when m is divided by g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 183621886667 + -1\nAnswer: 183621886666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*h**5 + 4348*h**4 + 466954*h**3\/3 + 247700*h**2\/3 - 274376*h\/3 - 22704 = 0. What is h?\nAnswer: -198, -43, -1, -2\/9, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19995, 39502, 58531, 77082, 95155?\nAnswer: 112750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -200 - -199.999834. What is f rounded to five dps?\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1, 14, -1067\/4?\nAnswer: -1067\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3617777 to the nearest integer?\nAnswer: 1902","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 44 and 232?\nAnswer: 2552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1844914*h**2*z**3 + 2*h**2*z**2 + h**2 + 89191*h*z**2 - 7*z wrt z.\nAnswer: 11069484*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 68\/(-85) - (-608436)\/20 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 8283 (b) 2.8 (c) 4 (d) 5 (e) 2\/7 (f) 0.2 (g) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - q**2 + 0)*(-1 - 3 + 3)*(5*q - 5*q + q) + 2*q**3 + 2 - 2 + (q**2 + 1 - 1)*(-5*q + 4*q + 0*q) to f*q**3 + i + r*q + t*q**2 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -4, 5, -5, 2 in increasing order.\nAnswer: -5, -4, -2, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3616992 and 5814?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c + 4*c. Suppose -d - q + 87 = c, 2 + 2 = -4*q. Calculate the highest common factor of 11 and d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2410832467?\nAnswer: 6599, 365333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, s: 2, y: 4, c: 1}. What is prob of picking 1 u and 1 c?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 305*x + 5841. Is f(63) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -66\/648839 and 0.3 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8294 (base 14) to base 11.\nAnswer: 15981","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p - 5*h = 3, 2038*h = -46*p + 2042*h - 390 for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-13209)\/(-49) - (-3)\/7. What is the greatest common divisor of b and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -15*l**2. Let f be p(2). Let v be ((-16)\/20)\/(8\/f). What is the highest common divisor of v and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**4\/2 - 57*y**3\/2 - 123*y**2\/2 - 63*y\/2.\nAnswer: 3*y*(y - 21)*(y + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 680 and 280?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 87*i - 394. Determine v(5).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 + 12*z**2 + z - 73. Is 9 a factor of h(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 2*i. Let s(m) be the first derivative of -4*m**3\/3 - m**2\/2 + 15. Give n(s(q)).\nAnswer: -8*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.05 (b) -0.2 (c) -0.1 (d) 3\/8 (e) 0.325 (f) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 501*h*l**3*n**2 - 23423*h*l*n**2 - 3*l**3*n**2 - 53779465*l**3*n + l**2 wrt h.\nAnswer: 501*l**3*n**2 - 23423*l*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-11)\/(-3) + -3 + (-520982)\/(-51)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2912\/(-2016)*(-4)\/26.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 57\/25963744 and -45\/176.\nAnswer: 285601184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1916 - 2115. Which is smaller: 2\/7 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*h**2*x**2 + 783795*h**2 + 18745*h - 10*x**2 wrt h.\nAnswer: -6*x**2 + 1567590","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 270 (base 8) to base 10\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -96 - (-16 + -79) - (0 - 61)?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the third derivative of w**4\/24 + 3*w**3\/2 + 58*w**2. What is p(0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7793.\nAnswer: 7793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 - -97260?\nAnswer: 97316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yffyf. Give prob of sequence yyff.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:28 PM and 2:18 PM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/(-12))\/(30\/18).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 4*x + 620, 5 - 17 = 4*x. Suppose 3*n - 1498 + 307 = 0. Let w = a - n. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 35815*i**3*m**3*p**2 - 2*i**3*m*p**2 - 4*i**2*m**3*p**2 - i*m**3*p**2 + 458*i*m**3 wrt i.\nAnswer: 214890*m**3*p**2 - 12*m*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the third derivative of -8*k**7\/105 - k**5\/60 - 5*k**4\/12 + 2*k**3\/3 - k**2 - 7. What is the second derivative of h(j) wrt j?\nAnswer: -192*j**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, b: 2, f: 1}. What is prob of picking 1 f and 1 b?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -18 + 8 - 3 - 13*m wrt m.\nAnswer: -13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -55849 (base 10) in base 4?\nAnswer: -31220221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 38 - 31 - (1 + 87). What is the remainder when (3\/2)\/((-9)\/(-228)) is divided by (-2)\/6 + 1 - 1080\/l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 = 4*i + 19 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 495662 smaller than 495793?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 157233, 157240, 157247, 157254, 157261, 157268?\nAnswer: 157275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/150084 and -35\/324.\nAnswer: 1350756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 < 8597?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -1\/4, -39\/16, -0.5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-60)*2*-21*(-30)\/(-525)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-6)*((-2 - 0) + 0).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5880409\/5 + -1170865. Let a = u + -177628\/35. Let l = 6827\/42 - a. What is the common denominator of -24\/11 and l?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 1858?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1856017*s**4 - 10322461 with respect to s.\nAnswer: -7424068*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 334361507 to the power of 1\/3, to the nearest integer?\nAnswer: 694","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes after 10:38 PM?\nAnswer: 2:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.2, -2\/17, 33, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 4 + 4. Let r be (1\/(-4))\/(6\/(-72)). Suppose -q + r = -2*q. Put 3, w, q in descending order.\nAnswer: w, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 + -3. Let b(a) = -a**2 + 4*a + 3. Let d be b(4). Let x = f - d. Solve -j + x*c = -12, -12 = -j + 3*j + c for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11712 is divided by 165.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 82*t - 156 - 63*t + 2*t**3 + 154 + 8*t**2 + 11*t**2 as n*t + r + q*t**3 + g*t**2 and give g.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -14, 2\/3, -0.4 in decreasing order.\nAnswer: 3, 2\/3, -0.4, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**3 + 20*r**2 + 108*r - 1403. Let o be a(22). Let i(q) = 3*q - 3. Let g(d) = 2*d - 1. What is o*g(j) - 2*i(j)?\nAnswer: 4*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -35, -312, -837, -1616, -2655, -3960, -5537, -7392?\nAnswer: -9531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m + 12. Let i be n(10). Suppose i + 8 = 2*k. Suppose 5*y - 11 = -3*f, -33 = -5*f + k*y + 12. Is 3 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5\/((-15)\/(-4))*15. Let c be -2 + (-54)\/(-4) + 9\/(-6). What is the highest common factor of d and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -41646 (base 8) to base 7.\nAnswer: -101330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2838*843\nAnswer: 2392434","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - 62 - 209. Let k = -255 - j. Calculate the remainder when k is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1505 and 26355?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 46 = 4*y - 2, 4*y + 22 = 3*a. Find the first derivative of -83*o - 32 + a - 62 + 13*o wrt o.\nAnswer: -70","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from ccccccccccckccccck.\nAnswer: 40\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*f - 9 = -72*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -22.14 - -0.14. Let y = -33.071 - -0.071. Let x = 29 + y. Which is the smallest value? (a) x (b) d (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 3*q + 12 = 0, 3*t + 7 = q + 11 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 - -135 - 3\/1. Suppose i - p = 5*t - 615, -t + i + 94 = 0. Let o = t + -481\/5. Is o at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 242061039 times 3\nAnswer: 726183117","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*r - 114 + 71 - 81 - 4*r + r.\nAnswer: r - 124","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -220*y**2 - 2*y + 2. Let x be l(1). Let u = -71 - x. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**2 - 2591472. Let z(b) = -14*b. Give z(t(q)).\nAnswer: -14*q**2 + 36280608","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.1 - -1.9. Which is the nearest to -0.1? (a) d (b) 10 (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = i + 1. Let u(d) = -5*d + 1. What is the units digit of u(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.079262541 rounded to four decimal places?\nAnswer: 16.0793","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1094809044 + -1094808991.9999913. Let m = c + -52. Round m to six dps.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 17 = -2*d, -l - 3*d - 7 = -0*l. Suppose l*w + 341 = -4*r, -79 - 265 = 4*r + 4*w. Let a = 130 + r. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a meter in centimeters?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (-814)\/(-6)*((-7 - -437) + (5 - 3))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -414733 divided by 3.\nAnswer: -414733\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -30591.75*-24\nAnswer: 734202","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2648648?\nAnswer: 2, 331081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 51 - 51.7. Let m = j - -0.699702. Round m to 5 dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2\/13 + 54*c\/13 - 56\/13.\nAnswer: 2*(c - 1)*(c + 28)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 3514051, 7028102, 10542153, 14056204, 17570255?\n\"Answer: 3514051*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5 + -6 + (1 - 1). Calculate the remainder when 62 is divided by (0 - b)\/((-1)\/(-21)).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.05 - -0.35. Let a = h - -0.1. Let r = -82.9 + 83. What is the nearest to r in -5, -3\/8, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:31 PM and 11:47 PM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12454?\nAnswer: 2, 13, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -254 + 5b90?\nAnswer: 593b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1733 + 1733.4. Let h = 4.1 - 0.1. Which is the third smallest value? (a) h (b) i (c) -3 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (20\/10 - (-1 - (1 + 22)))?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 32292?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -67302.68114 rounded to the nearest one hundred?\nAnswer: -67300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -83764060 by 16752812.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**36\/l)\/(l*l**(1\/6))*(l\/l**(-8))\/(l*(l*l*l**(-2\/55)*l*l)\/l) assuming l is positive.\nAnswer: l**(12827\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -7.002554 and -0.08?\nAnswer: 6.922554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 292, 548, 786, 1006, 1208, 1392?\nAnswer: 1558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 104914290 to the power of 1\/3, to the nearest integer?\nAnswer: 472","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 692 is divided by 229.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 11*i - 34. Determine m(4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 42\/9 - (-4)\/(-6). Suppose p*k + 2*g = 126 + 268, -3*g + 111 = k. Let o = k - 176. Round o to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2651 is divided by 883.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 240712?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(51)\/sqrt(3)*2*-5*-5)**2 + 5 + -3*(-4 + sqrt(272) + 1)**2.\nAnswer: 72*sqrt(17) + 679162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4270 + 140?\nAnswer: 4400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/25*(-1875)\/(-500)*30?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1631 (base 7) in base 14?\nAnswer: -351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8397709 is divided by 394?\nAnswer: 387","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14251 + -11451. What is the smallest common multiple of 144 and l?\nAnswer: 25200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*x = -708 + 2606. Suppose -5 = -147*l + x*l. Suppose -3*g + 1 = i, 0*g + 30 = 2*i - g. Solve l = 2*u - a - 4, -3*u + 2*a = -i for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 - (-1 - (-2 - -2)). Let i be (-1)\/2 + u\/12. What is the biggest value in 4, i, -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -917906 = -2*o - 4*j - 150520, -2*o + 3*j + 767365 = 0. Suppose 469886 + o = 61*n. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 33 = -4*y, 4*i - 63 = -4*y + 3*y. Solve 2*t - i = 5*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 1 l when three letters picked without replacement from ssmmssmsmsrsirmlls.\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 168 and 168.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (11 - 11 + 208*f - 3*f)*(-5 - 15 + 58 - f) to the form c*f + a + k*f**2 and give c.\nAnswer: 7790","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 42 + -29. Suppose -12*x + d*x = 342. What is the highest common factor of 38 and x?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43410000 rounded to the nearest 1000000?\nAnswer: 43000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 2*l - 20. Let z be o(10). Suppose -k + 5*y + 188 = -z*k, -4*k - 4*y = -848. What are the prime factors of k?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6809823 + 57*t + 6809823 + 0*t**2 + t**2.\nAnswer: t**2 + 57*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 98 + 46. Let m = -703 + 727. What is the smallest common multiple of i and m?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-176)\/154 - 134\/(-105).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in x**2 + 903*x**3 - 6069 - 931*x**3 + 6069.\nAnswer: -28*x**3 + x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -541562790.42294 - -541557604. Let s = b - -5293.424. Let v = -107 + s. Round v to four decimal places.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -725279*s**3 - 17*s**2 - 725155*s**3 + 1450430*s**3 + 17*s**2.\nAnswer: -4*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 3*h - 28. Let p be n(13). Let i(g) = -2*g - 5. Let q be i(p). Is 22 a factor of (-4 + q\/(-6))*98?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence px when two letters picked without replacement from eekkepxxpxxexeeke?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 747472953?\nAnswer: 3, 149, 1672199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*w + 2541 = 44*w. Let x = w - 112. What is the lowest common multiple of x and 30?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - -4)\/((-24)\/(-312))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*c + 51 = 11*c. Let f = 102 + c. What are the prime factors of f?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 102, -24, 601 in decreasing order.\nAnswer: 601, 102, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13734, 13733, 13732, 13731, 13730?\nAnswer: 13729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-80)*-34)\/((-6)\/(-120))\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/((-2)\/(-1))*-5. Solve -z + m = -0*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 42976494 to the nearest integer?\nAnswer: 6556","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 71 + -51. Suppose -7*t + 3*t + p = 0. List the prime factors of t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 323819 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1)*o**(1\/10))\/((o**(-15\/4)*o)\/(o*(o*o**5*o)\/o)) assuming o is positive.\nAnswer: o**(177\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -36*m**3 + 22*m**2 + 20*m - 6. Let h(o) = -5*o**3 + 3*o**2 + 3*o - 1. Let c(y) = 44*h(y) - 6*w(y). Factor c(u).\nAnswer: -4*(u - 1)**2*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -867, -2268, -6081, -13512, -25767?\n\"Answer: -201*q**3 + 6*q - 672","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwqwewasaqwwqswqaq. What is prob of picking 2 q, 1 w, and 1 s?\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**2 + 212*y - 4663. Is m(156) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -113121 + -2352?\nAnswer: -115513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 take away 0.177136907519?\nAnswer: -4.177136907519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 243 and 621?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 135210 = 26*z. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the second derivative of q**9\/1008 + q**6\/120 + q**3\/2 - q. Let d(b) be the second derivative of a(b). Find the third derivative of d(c) wrt c.\nAnswer: 180*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**3 - s**2 + 2*s - 2. Let w(q) = -2*q**3 + 5*q**2 - 60*q + 6. What is 3*g(z) + w(z)?\nAnswer: z**3 + 2*z**2 - 54*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1314743 times 0.02\nAnswer: -26294.86","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Work out 0.11 * 0.46.\nAnswer: 0.0506","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(2\/9)*r*r\/(r\/r**(-1\/4))*r assuming r is positive.\nAnswer: r**(71\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the first derivative of -k**2 + k - 45. Determine c(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r + r - 13 + 2*r + 42 - 74. Determine i(11).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7619*m - 7627*m - 32 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -428969 - -428964. Suppose -3*g + 0*v = -2*v - 6, -g = -v - 3. Put g, 3, 7, c in increasing order.\nAnswer: c, g, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(342) - -1*sqrt(342) - sqrt(342))\/sqrt(6) + 3*(sqrt(57) + sqrt(57)*2) + sqrt(57))\/((sqrt(72)\/(-1*sqrt(8)))\/sqrt(3)).\nAnswer: -11*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes before 5:14 PM?\nAnswer: 4:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**2 + 8*d - 9. List the prime factors of n(-13).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**2 + 7*b + 2. Let g(h) = -3*h**2 - 40*h - 4. Calculate g(a) + 6*x(a).\nAnswer: -9*a**2 + 2*a + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21 - 6. Is 3 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/3, 3, 0.5, -2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1558?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2273 or 910?\nAnswer: 910","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2731 to the power of 1\/2, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:55 PM and 10:22 AM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -194, -2, 19837 in descending order.\nAnswer: 19837, 3, -2, -194","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 26856 - 26506. Calculate the smallest common multiple of 875 and g.\nAnswer: 1750","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 4*n + 12, -7 + 19 = 4*a - 5*n. Let b be ((-12)\/10)\/(3\/(-10)). What is the second biggest value in 2\/23, a, b?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 47129, 45085, 43041, 40997, 38953?\nAnswer: 36909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -2*g**2 - 5*g - 2. Let j be f(-3). Let i(h) = h + 6. Let d be i(j). Sort 5, d, 0 in descending order.\nAnswer: 5, d, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -109\/161 + 9\/23. What is the third biggest value in c, 0.01, 0.2, 0.1?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 18 + 7 = 2*t, -55 = p - 5*t for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 48354265 to the nearest integer?\nAnswer: 364","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -9*o + 840000. What is o rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**2 - 522*f - 8748.\nAnswer: -2*(f + 18)*(f + 243)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.356 - 1.356. Which is the fourth biggest value? (a) n (b) -18 (c) -3 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes before 3:54 PM?\nAnswer: 2:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -344*0.1\nAnswer: -34.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 85 - 84 - 24*s - 10*s. Let j be u(-2). Suppose 5*h - 3584 = -j. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2114486 to the nearest integer?\nAnswer: 1454","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*z - 6*z + 1167 - 1172.\nAnswer: 9*z - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the first derivative of 0*d**3 - 49\/5*d**5 + 0*d**4 + 34 - 2*d + 0*d**2. What is the derivative of j(o) wrt o?\nAnswer: -196*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6642457 to the nearest integer?\nAnswer: 2577","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that i**2\/6 + 23*i\/6 + 11\/3 = 0.\nAnswer: -22, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 16519 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*z**4 - z**2 + 1 + 30988*z**3 - 61981*z**3 + 30991*z**3 + 3*z in the form o + g*z**3 + v*z**4 + b*z + y*z**2 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11010100110 - -11010110101111100?\nAnswer: 11010011011010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17 + -1. Let n = -755 + 755.1. Which is the biggest value? (a) n (b) j (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 116*y + 469. Let f be z(-4). Let u(c) be the first derivative of -f*c**2 - 9*c + 3 - 1\/3*c**3. Determine u(-8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 265 is divided by 80.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -642*f = -650*f + 16. Solve 2*q + 0*q - f = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8 - 8*t + 82*t + 7*t + 95*t + 181*t to the form y*t + z and give z.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3394 - 3394.4. Let q = 761087\/24684 + 1\/8228. Let l = q - 31. Which is the smallest value? (a) -0.5 (b) -9\/2 (c) r (d) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -65 or -67?\nAnswer: -65","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**2 - 29*i - 13. Let w be r(21). Let p = w - -191. Let u(f) = f**2 + f - 3. Let n be u(-3). Solve -n*x - p = -x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-p - 2 + 2)*(41 + 17 - 34) - 2*p - 1 + 1 to the form f*p + i and give f.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/(s**(-10)\/s)*s*s**(5\/4)*s*(s\/s**(-2\/41))\/s**(-3) assuming s is positive.\nAnswer: s**(3165\/164)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (2 + (-12 - -3) + (-1425)\/(-175))*(13 - -15)\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 43 and 4859.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, -0.2, 314 in increasing order.\nAnswer: -11, -0.2, 314","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*3\/42*7.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -2*p + 47. Let u(s) = -3*s + 48. Let b(f) = 6*u(f) - 5*w(f). What are the prime factors of b(0)?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i + 12 = 132. Let l be 3 + (i\/14 - 2). Let q = 12\/7 - 2. What is the closest to 2 in l, q, -4\/5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the second derivative of 1\/10*w**3 + 1\/50*w**6 + 3*w - 3\/100*w**5 - 1\/20*w**4 + 0 + 0*w**2. Suppose z(v) = 0. Calculate v.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 92 and 5?\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -77928334*z**2 + 34446*z. Let n(w) = -11312*w**2 + 5*w. Calculate -34446*n(h) + 5*p(h).\nAnswer: 11482*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1947*w**2 - 40234*w**2 + 2 - 9400*w**2.\nAnswer: -51581*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 126\/210 - 6\/(-15).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 294 - 274. Suppose 2*l = -3*l - 450. Let t = -53 - l. What is the remainder when t is divided by o?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 154 and 44.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**3 - 9*o**2 + 5*o - 9. Let r be i(6). Let w = r + 74. Let j = w + 3109\/7. Which is smaller: j or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -15 (b) 27.5 (c) -0.3 (d) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ovo when three letters picked without replacement from vovov?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:18 AM and 9:40 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve j = 3*i - 212 + 75, -2*i = -j - 7*i + 239 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6770 is divided by 1114.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2 - 12\/(-9))*-3. Let v(y) = 2*y**h - y**2 + 8 - 6*y + 5*y - 6*y. Determine v(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c**2 + 1 - 1)*(-11 - 5 - 10 + c).\nAnswer: -2*c**3 + 52*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 38041177 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(484) - sqrt(484)*1)\/sqrt(2) - (-2 + (sqrt(100)\/sqrt(5))\/sqrt(10)))**2.\nAnswer: -4*sqrt(2) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/389025 and -53\/345.\nAnswer: 8947575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 777 is divided by 34?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t - 6*o + 11*o - 11, 2*t = 2*o + 2. Factor -1\/8*f**2 + 0*f + 1\/8*f**t - 1\/8*f**5 + 1\/8*f**3 + 0.\nAnswer: -f**2*(f - 1)**2*(f + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20 - -10211011221?\nAnswer: 10211012011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -220*s + 0*s**2 - 702*s**4 + 273*s - 187*s**4 + 2*s**2 + 249*s**4 wrt s.\nAnswer: -15360*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the second derivative of 3*o**6\/10 - 23*o**4\/4 + 19*o**3\/6 - 1078*o. What is the second derivative of d(c) wrt c?\nAnswer: 108*c**2 - 138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 1515 = 3*g, 4*l = 5*g - 1203 - 1285. Let v = -347 + g. What is the tens digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the third derivative of j**6\/120 + 11*j**5\/60 + 11*j**4\/24 + 2*j**3 - j**2. Let s be o(-10). Suppose -5 = -s*f + 5. Solve -f*t + 8 = -t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 plus 0.3?\nAnswer: 491.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -2\/5 (b) 267 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 254*t**2 - 28*t wrt t.\nAnswer: 508","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y = 6*y + 529. Let x = 908 - y. Is 8 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*x + 16*x. Suppose -j = -c + 5, 0 = -c + 5*j - 0*j + 25. Suppose 2*a - 4*b - 8 = -c*b, 0 = -3*a + 3*b. Put 5, 3, x, a in decreasing order.\nAnswer: 5, 3, x, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86155 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 3 + (102\/(-12) - -6)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -64 + 449\/7. Let a = 0.24684 - 0.44684. What is the nearest to h in 1\/4, a, -0.7?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**2. Let s(b) be the first derivative of -1\/6*b**4 + b + 0*b**2 + 0*b**3 - 1. Let x(q) be the first derivative of s(q). Calculate x(a(o)).\nAnswer: -2*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and 7.5.\nAnswer: -37.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1149e5 + -1e?\nAnswer: -114a14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 63*z. Let h(b) be the third derivative of 0*b**3 - 1\/6*b**4 + 0*b + 226*b**2 + 0. What is d(h(a))?\nAnswer: -252*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 3\/32 of a second?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8241334?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 47*d + 4. Let l(h) = 3*h**3 + 57*h**2 - 991*h + 7. What is the remainder when o(3) is divided by l(-30)?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -194 - 34 = -12*d. What is the derivative of -1889 - 2*i**2 + d*i**4 + 1907 + 2*i**2 wrt i?\nAnswer: 76*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 divided by -19?\nAnswer: 26\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -814760 divided by 2\nAnswer: -407380","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1367160 divided by 273432?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4805 + -4802. Put 0.04, k, -18 in descending order.\nAnswer: k, 0.04, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**3*y*y**(2\/7))\/(y**(-6)*y*y*y*y\/y**7))**(5\/14) assuming y is positive.\nAnswer: y**(250\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -621 - 17697 = 39*f + 219*f for f.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iicc when four letters picked without replacement from iiccicccciiccccicc.\nAnswer: 11\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 104113167?\nAnswer: 3, 131, 264919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1661*d + 1070*d - 122895 for d.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 208 divide 933279146?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 73*l - 27. Suppose -3*w = -9 + 21, -2*m - 22 = 3*w. Let z(a) = -a**2 - 8*a - 11. Let o be z(m). What is the tens digit of r(o)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 10) to base 4.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 256 - 2306\/9. Let h = 120427\/39 - 3089. What is the common denominator of t and h?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - y - 59, -4*k + 0*k - 5*y + 53 = 0. Suppose 0 = 2*g + 2*g + k, -a - g = -20. Factor 31*h + 200*h**2 - 205*h**2 - h - 22 - a.\nAnswer: -5*(h - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 r when two letters picked without replacement from surwaavw?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 5*u**2 - 2*u + 1. Let a be c(1). Let w(m) = 68*m**3 - 22*m**3 + 3*m**2 - 7*m - 45*m**3 + 1 + 5. Is w(a) a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1516? (a) 4 (b) 1 (c) -2\/7 (d) -5 (e) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111100 + 1110010110100?\nAnswer: 1110001111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -208 + 296. What is the tens digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 1\/303 (b) 6 (c) -0.03 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(132) - (-3*sqrt(132) - sqrt(132))) - (sqrt(132) - sqrt(132)*3*-5))\/(((sqrt(660)*-1)\/sqrt(11))\/(sqrt(5)*1*6 - sqrt(5))).\nAnswer: 130*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 34*w**2 + 9*w - 21. What are the prime factors of c(3)?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from rrrttrrr?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*f**3 + 888*f**2 + 44544*f - 538240.\nAnswer: 4*(f - 10)*(f + 116)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**3 - 81*g**2 - 167*g + 71. Is j(-84) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3 - -2)\/(2\/(-6)). Suppose -5*y = -18 + b. Let c be -22800 - (1 + -1)\/y. What is c rounded to the nearest one thousand?\nAnswer: -23000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -11517 - 5056*o**2 - 11518 + 23035 in the form a + k*o**2 + v*o and give k.\nAnswer: -5056","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -371.1 + 376. Let d = -4.6 + g. Which is the closest to -1\/7? (a) -0.5 (b) d (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15454.79 rounded to the nearest ten?\nAnswer: -15450","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2316 + 2772. Solve 59*g = x - 161 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 2 r when three letters picked without replacement from llllrallalaazrl?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-44)\/936)\/(1892\/(-516))?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -336 or -365?\nAnswer: -365","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5 and 390.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + v = -7*p + 50, p + v = 6. Let n = p - 8. Suppose n*u = 2*u. Solve 3*x - 4*j + 8 = 0, -21 = -u*x + 4*x + 5*j for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30735.\nAnswer: 3, 5, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from gaggggggggaggggggg?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(24))\/sqrt(12) + -3 + -2 + sqrt(200)\/sqrt(4).\nAnswer: -5 + 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25, -213, -914 in increasing order.\nAnswer: -914, -213, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 1 n when three letters picked without replacement from {d: 1, i: 4, y: 4, c: 5, n: 5}.\nAnswer: 50\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**2 + 1688*a + 672735.\nAnswer: (a + 645)*(a + 1043)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/((-33)\/11))\/((-4)\/4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 7012319?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 - ((-12)\/20 - (-4)\/(-10)). What is the third derivative of 13*v**4 + 31*v**y - 44*v**2 - 17*v**4 + 5*v**4 wrt v?\nAnswer: 24*v + 186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 27 + -1. Let a be (-34)\/2*(-7 + 8). Let m = 35 - a. What is the highest common factor of h and m?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 4*k - 4 = 0, -2*i + 7 + 4 = k. Let m be ((-16)\/220)\/(i\/10). Which is the nearest to 0? (a) -0.2 (b) 1 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 922?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**2*b*b**(-4))\/(b**6*b\/b**(-4\/11)) assuming b is positive.\nAnswer: b**(-92\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10219415?\nAnswer: 5, 521, 3923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 2931*r - 55685. What is k(19)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -9*w**3 - 21*w**2 - 19*w + 3. Let h(x) = -3*x**3 - 7*x**2 - 6*x + 1. Let p(t) = 7*h(t) - 2*j(t). Let r be p(-2). Solve -5 = -r*i - 0*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z + 3*o - 21 = 7*z, 5*o + 91 = 3*z. Calculate the greatest common divisor of 207 and z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4a4a5 (base 14) in base 5?\nAnswer: -21311113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9015662 is divided by 404.\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the first derivative of -65*o**4\/4 - 4*o**3\/3 - 3*o**2 - 50. What is the third derivative of u(k) wrt k?\nAnswer: -390","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 - -1000010101?\nAnswer: 1000010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -22033 + -10402?\nAnswer: -32435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -56.5 + 57.5. Put -1, 0.4, q, -0.06 in decreasing order.\nAnswer: q, 0.4, -0.06, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 o when two letters picked without replacement from {s: 2, h: 1, f: 1, o: 1, t: 2, a: 2}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lw when two letters picked without replacement from ccwcwwccllwwcccccwc?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 52 - -112261?\nAnswer: 112343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*l + 9*l + 3*l + 7*l.\nAnswer: 24*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 77423186?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 - 10. Let m = -4 - p. Which is the biggest value? (a) m (b) -3 (c) 4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 5*i + 3, -5*i = -45*g + 46*g + 1. What is the nearest to 41 in -2, g, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -7*j - j + 3*j. Let t(l) = -377*l + 754*l - 2 - 375*l + 3*l**2. Let p(v) = -13*v**2 - 9*v + 9. Let w(b) = -2*p(b) - 9*t(b). What is y(w(s))?\nAnswer: 5*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 3 = -0. Suppose -4*f - 28 = -2*y + 10, -5*f = -w*y + 58. Calculate the remainder when y is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - 0*f - 4. Suppose 5*d + f*n = 6, 4*d - 2*n + 6 = 5*d. Suppose -3*l + d*l = 0. Is l less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 2*s - 14. Let n be v(-27). Let c = n + 65. Put c, -1\/4, -4\/11 in ascending order.\nAnswer: c, -4\/11, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 207807184 a multiple of 1768?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 283 + -283. Let m(d) = d**3 - d**2 - 3*d + 179. Calculate the remainder when m(b) is divided by 31.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61576.09 micrometers in millimeters?\nAnswer: 61.57609","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 313 divide (295354\/(-944) + 2\/(-16))\/(2\/(-8))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -129*t**2 - 3741*t - 12. What is h(-29)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 15.5797935 to the nearest integer.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8\/(-12)*(-6)\/4. Suppose -q = 2*q - 30. Suppose -m + q = o. Does 9 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 5914 = -4*k, 5*w - 4116 - 330 = -3*k. Is k equal to 10329\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -71.39 - -2?\nAnswer: -69.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 r when two letters picked without replacement from {g: 2, c: 2, l: 4, s: 1, r: 4, j: 2}.\nAnswer: 16\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -256 = 199*t + 57*t. Suppose 2*g + 7 + 1 = 0, 4*b = -3*g - 12. What are the prime factors of (-1)\/((-2)\/28) - (b + t)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 48 = -4*a - p, a - 9 = -p. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 75*r**5 + 4*r**3 - r**2 - 3*r - 176. Let n(u) = u**5 - u**3 + u**2 + 2*u. Let t(a) = n(a) + z(a). Find the second derivative of t(w) wrt w.\nAnswer: 1520*w**3 + 18*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*u**3 + 5280*u**2 - 566020*u + 11818800.\nAnswer: -5*(u - 938)*(u - 90)*(u - 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/2 of a meter in centimeters?\nAnswer: 2250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21084640?\nAnswer: 2, 5, 131779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 198 divide 350251?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add -7.74 and -43533256025.\nAnswer: -43533256032.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 255*g = -1532 - 2548 for g.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 15 - 2)*(4*b + 16*b - 2*b - b - 1 + 1 + (0*b + 0*b - 2*b)*(4 + 3 - 5)) + 1 - 2*b - 1.\nAnswer: 167*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c = -0*c + 8 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 470, 479, 500, 539, 602, 695, 824?\nAnswer: 995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3 + 32\/12)*621. Let j = w + 217. Solve -5*k - 3*s + 56 = 16, j = 4*k - 2*s for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3441422191 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 1 (b) 14 (c) 1\/6 (d) -0.42 (e) 134 (f) -0.2 (g) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 145689 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in seven thirds of a week?\nAnswer: 392","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 + 1a84?\nAnswer: 1a88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes before 3:04 AM?\nAnswer: 10:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 26, 38, 38, 20, -22, -94, -202, -352?\n\"Answer: -g**3 + 19*g + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -3*u - 5*u**2 - 24*u**3 + 15*u**3 - 13*u**3 + 23*u**3. Let r(t) = -4*t**2 - 2*t + 1. Determine 2*q(d) - 3*r(d).\nAnswer: 2*d**3 + 2*d**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 483 + -304. Suppose 2*a + 0*h = h + 119, -3*a = -2*h - k. What is the tens digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9473785?\nAnswer: 5, 1894757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**2 + 4*c + 5. Suppose n - 2*i + 6 = 0, -8*i + 17 = -2*n - 3*i. Suppose 14*z + 27 = 19*z + w, 0 = -2*z - n*w. Determine q(z).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -42.81 and 0.0176.\nAnswer: -0.753456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 171055, 341849, 512379, 682645, 852647, 1022385, 1191859?\n\"Answer: -132*p**2 + 171190*p - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes after 7:10 AM?\nAnswer: 2:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:49 AM and 3:48 PM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dhdtdddkbdtktdt. What is prob of picking 2 t, 1 k, and 1 b?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -16804 and 0.4?\nAnswer: 16804.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -w - 324 - 153, 954 = -2*w - 4*j. Is (4\/6)\/((-6)\/w) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes before 7:01 PM?\nAnswer: 11:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v = -3*i - 11, 64*v + 74*v + 119*v - 1289 = 2*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-1)*c)**(-26\/7)*((c**(-2)*c*c)\/c)**(-28))\/((c*c\/((c**(-1)*c)\/c))**(-29\/2)*(((c*c**2*c)\/c)\/c)**20) assuming c is positive.\nAnswer: c**(63\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 smaller than -10\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -625, -372, 51, 644, 1407?\nAnswer: 2340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/6080 and 39\/20.\nAnswer: 6080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 120656 + 261?\nAnswer: 121250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (n - n - 2*n)*(0*n + n + 0*n) + 4 - 2*n**2 - 4 - 3*n**2 + 6*n**2 - n**2 + 4*n**2 + 110*n - 110*n to the form u + c*n**2 + v*n and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + ((-9)\/(-3))\/((-27)\/(-36))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -23.828 - -23.4. Let a = -2.938 - o. What is a rounded to 1 dp?\nAnswer: -2.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 2*d**2 + 4*d - 1. Let b(f) = 15*f**2 + 3 - 11*f - 32*f**2 + 11*f**2. Calculate 4*b(z) + 11*i(z).\nAnswer: -2*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-4\/9)\/((w*w*w\/(w**(-1\/4)*w)*w)\/w))**(-18))**(-47) assuming w is positive.\nAnswer: w**(-4559\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.056 * 0.2.\nAnswer: -0.0112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 199 a factor of 568222?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -8 - 6. Suppose 4*v = a*v + 12. Which is bigger: -1 or v?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4\/(-5))\/(8\/(-20)). Let w = 3.2 + -3. Which is the third smallest value? (a) r (b) w (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -50866 - -50865.9889828. Let t = 0.011 + v. What is t rounded to six decimal places?\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 18*x. Let a(p) = -5*p. Let t(z) = 10*a(z) + 3*r(z). Let c(h) be the third derivative of -h**5\/30 + h**2. What is t(c(m))?\nAnswer: -8*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the third derivative of -r**5\/240 - 8*r**2. Let u(m) = 0. What is m?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 5 = t, 2*l - 2 = 2*t - 0. Let r be -9 - -10 - (l - 0). Is 2\/235 equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 0*z = l + 5, 5*z - 13 = 4*l. Let t be 3\/l*2*1. List the prime factors of 48 - (t + 1 - -1).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 612356*c*s + 2*s + 23008 wrt c.\nAnswer: 612356*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -57 - -65. Let z = d + 3. Let t(o) = o**3 - 9*o**2 - 6*o - 4. Is 20 a factor of t(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 83816?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.8 + -0.8. Let x = -0.1 + 0.2. Let l be (-1)\/2 + (-23)\/(-38). What is the nearest to x in -0.5, q, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2181332 to the power of 1\/5, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 + 2220121?\nAnswer: 2220121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 2*f**2 - 19*f + 47. List the prime factors of z(17).\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -203 - -2434?\nAnswer: 2231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15\/7, -1, 0, 21, -2, -119, 5.\nAnswer: -119, -2, -1, 0, 15\/7, 5, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 64*g + 2*g**2 - 34*g - 30*g. Let f(t) = -t. Calculate s(f(l)).\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and 0.29157.\nAnswer: 0.87471","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 - ((-808131)\/5448 - 3). Let i = y + 9\/227. Let w = 152 - i. Calculate the common denominator of w and -22\/9.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**3 + v**2 + 8*v + 1. Let d(u) = -7*u**3 + 6*u**2 - 40*u + 7. What is d(t) - 6*z(t)?\nAnswer: -t**3 - 88*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -111 - 2?\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d\/(d*d**(-1\/11)))\/d*d)**(-41) assuming d is positive.\nAnswer: d**(-492\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1390662 and 5394?\nAnswer: 1250205138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -3*q**2 - 2*q - 2. Let g(z) = 7*z**2 + 5*z + 5. Let o(v) = 5*d(v) + 2*g(v). Let c(s) = -3*s + 3*s + 17*s. What is o(c(n))?\nAnswer: -289*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -1074*p**2 + 67*p - 5. Let i(z) = 1071*z**2 - 54*z + 4. What is 5*i(q) + 4*j(q)?\nAnswer: 1059*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -3*q**3 + q**2 + q - 1. Suppose -2*z + 5*u = 1, -u = -0*z - 4*z + 7. Give i(z).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/300*(1008\/288)\/((-21)\/12)?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 21 + 5)*(g + g + 0*g + (-3 + 0 + 1)*(4*g - 3*g - 2*g) - 3 + g + 3)*(3 - 3 - g)*(-g + 4*g - 2*g) in the form c*g**2 + k*g**3 + v + y*g and give k.\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**2 + 15*a - 18. Let t be h(15). Let y(q) = -q**3 - 6*q**2 - 3*q - 5. Let j be y(-5). Let l = j - t. What are the prime factors of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 689 + -66. Let x = r - 351. Is x a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 116*u - 176*u + 600 = 0. Solve 18 = u*j + 8*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 258915*h - 125112 wrt h.\nAnswer: 258915","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the third derivative of 16*d**2 - 1\/3*d**3 - 1\/24*d**4 - 1\/20*d**5 + 1\/120*d**6 + 0*d + 0. Calculate w(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-6)\/(-3))\/(8\/52). What are the prime factors of 4\/10 - f\/(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 10\/15 - 424\/(-3). Let d = p + -130. Solve -7*v = -3*v - d for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 915211 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -149, -469, -1007, -1745, -2665, -3749?\n\"Answer: 3*m**3 - 127*m**2 + 40*m - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 15 in 5, 3, 0.2, 1\/7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1298\/(-1430) + (-2)\/10*-3. What is the second biggest value in 1, 1\/4, s?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4294 is divided by 2143.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/9, 52881\/5, 0.3, -5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ph when two letters picked without replacement from {h: 11, p: 3}?\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 3*o**3\/2 - 3585*o**2\/2 + 538188*o - 1598472 = 0.\nAnswer: 3, 596","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and 4.2.\nAnswer: 12.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 7) in base 3?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a centimeter in millimeters?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.004879 to 4 decimal places.\nAnswer: -0.0049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eei when three letters picked without replacement from ielieiieeelee?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qnqqqnq. What is prob of picking 4 q?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 2*g - 2. Let q be t(2). Put -1, 8, q in decreasing order.\nAnswer: 8, q, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 - -1e6?\nAnswer: 1e6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/12 and -62\/45?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 78*2*20\/(-24). Let r = g - -270. Suppose -4*k - r = -592. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (-20 - -23) - -42\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 889546?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 229897 is divided by 644?\nAnswer: 633","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*b**5 + 10502*b**3 + 1001*b**2 + 8999857*b + 1.\nAnswer: -40*b**3 + 63012*b + 2002","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -79 - -78. What is the closest to 10 in 3, 5, h?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes after 8:56 PM?\nAnswer: 8:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10303*n**3*x**2 - n**3 - 6*n**2*x**2 - 2928817*n**2*x + n*x**2 wrt x?\nAnswer: 20606*n**3 - 12*n**2 + 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 21282?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 - 2)\/(6\/(-33)). Suppose 0 = q*f - 2*f - 630. What is the remainder when f is divided by 15?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -26, -58, -112, -188, -286?\n\"Answer: -11*o**2 + o - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-106*j + 68*j + 89*j)*(2*j - 6*j + 2*j) + 174*j**2 - 3 + 7 - 171*j**2.\nAnswer: -99*j**2 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l + 40 = 11*l. Let w = -8 + l. Which is smaller: 2\/125 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + sqrt(20)\/(sqrt(20)\/sqrt(2)))*-1.\nAnswer: -2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9736 + 9780. What is the smallest common multiple of f and 2912?\nAnswer: 32032","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1010 (base 2) in base 16?\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42 + 209*k + 43 + 42 - 124.\nAnswer: 209*k + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 104 in -3, 21\/4, 2?\nAnswer: 21\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 89 and 267?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**3 - 12*n**2 - 37*n - 32. Let k be g(-5). Let d = -24.5 - -25. Sort d, 0.1, k.\nAnswer: k, 0.1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**3 + 6*z**2 - 554*z - 1532. Determine k(0).\nAnswer: -1532","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 2)*(-2 + 2*a**3 + 2) - 3*a**3 + a**3 + 3*a**3 + (0 - 2 - 2)*(0 + 2 + 1)*(4*a**3 - 3*a**3 + a**3).\nAnswer: -21*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 427499 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -100*z**3 + 10 - 10 + 93*z**3.\nAnswer: -7*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 304431057?\nAnswer: 3, 7, 4832239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 - -1. Let f = 2 - -3. Suppose -o + f*b - 5 = 0, 2*o - 7*o = -b + 1. Solve 0 = -s*t - 15 - o for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from bbxbxbbxbx.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -531114, -531272, -531430?\n\"Answer: -158*b - 530956","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 10\/45 + 1005\/(-27). Let c = l - -34. Is 1674\/4 - c*1\/6 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-4 + sqrt(1088) + 5*-2*sqrt(1088))**2.\nAnswer: 576*sqrt(17) + 88147","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -0.1, -2449, -0.2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -1*(-5 + sqrt(13) + sqrt(26)\/sqrt(2)).\nAnswer: -2*sqrt(13) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q**2 - 186*q + 3173 = 0. Calculate q.\nAnswer: 19, 167","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/(-3)*2)\/(-13 + 11 + 293)?\nAnswer: 2\/97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -79d1 (base 15) to base 10.\nAnswer: -25846","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((1*-2)\/6)\/(307\/(-1842)). Solve 4*c + 3*m + g = 0, c - 2*m = -3*c - 12 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -248 - -245. Let p = 15 - 32. Which is the third smallest value? (a) p (b) x (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 3)*(32*d**3 - 32*d**3 + 13*d**4) + (2*d**4 - d**2 + d**2)*(-5 - 1 + 4).\nAnswer: -17*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - (10 + -4 - 0)) + 49 + 25.\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -19 in -3\/22, 1\/5, 0.46, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*u**4\/7 - 718*u**3\/7 + 1368*u**2 - 35640*u\/7 + 26784\/7 = 0. What is u?\nAnswer: -372, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 7 = -t + 16, -2*v - 3*t - 7 = 0. Let r be 790001 + (3 + (-4)\/4)\/v. What is r rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, -114\/5, -0.13, 6, -6, 5?\nAnswer: -114\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hmmmmmemhmmmaememhe. Give prob of sequence eema.\nAnswer: 11\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/1*(-16)\/8?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:42 PM and 2:05 AM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (60\/240)\/(2\/(-16))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2151606*m**2 + 258696*m - 2.\nAnswer: -4303212","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 64*y**2\/5 - 4384*y\/5 + 75076\/5 = 0.\nAnswer: 137\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -548123970*q + 394784586 wrt q?\nAnswer: -548123970","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3483 is divided by 67.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 56623 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 292 + -2401. Which is greater: -2108 or y?\nAnswer: -2108","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, -2\/9, -8\/941?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 9, -37, 3\/4, 11, -0.4?\nAnswer: -37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 141 (base 7) to base 2\nAnswer: 1001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 - 2 + 2)*(-2 - 1 + 4) - 6 - 1 + 0)*(-3*n + n + n).\nAnswer: 9*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85*q = -149*q + 704 for q.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16 - 8. Let m be (21\/(-14))\/(6 - 9)*-5 + 3. Sort -1\/8, j, m in decreasing order.\nAnswer: j, m, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 36651, 50066, 63479, 76890, 90299, 103706, 117111?\n\"Answer: -g**2 + 13418*g + 23234","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -18143 < -18144?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.7 - -11.1. Let n = -7.8 + l. Sort 3\/5, n, 43 in increasing order.\nAnswer: 3\/5, n, 43","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-4*(sqrt(13) + 1)**2*-5 + sqrt(78)\/(sqrt(18)\/sqrt(3)) + sqrt(1053) + -2*sqrt(1053).\nAnswer: 32*sqrt(13) + 280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - n - 5, k = -5*n - 1. Suppose 2*u = -2*v + 175 - 11, k*u + 344 = 4*v. Which is greater: 83 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 + 2 = -3*l. Let d(h) = h + 14. What is the least common multiple of d(8) and l?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2488*x + 2491*x - 4979*x - 7*x**2 + 2 in the form m*x + a + g*x**2 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -r**4 + 4*r**4 + 0*r**4 + (0 - 1 + 2)*(0*r**2 + 0*r**2 - r**4) - 3*r**4 + 7*r**4 - 2*r**4 + 0*r**4 - 3*r**4 + 4*r**4 + 1117792 - 6*r - 1117792 - 7*r**4.\nAnswer: -2*r**4 - 6*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 661 a factor of 575731?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.3 - 0.7. Let m = l - 2.6. Let c be 2 - 9\/15 - 1. What is the second smallest value in m, c, 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12736 + -1?\nAnswer: -12737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in -1\/225, -2, -7, -3?\nAnswer: -1\/225","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -5*c**2 + 2*c - 1. Let n be 2\/(-3) - (-20)\/12. Let i be s(n). Let g be (-1 - -2)*20\/i. What is the nearest to 0 in 1, 0, g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 24 - -13. Suppose 0 = -2*n + 3*n - 4*x - g, 4*n - x - 103 = 0. Which is smaller: -2\/9 or n?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -6*y**2. Let a(k) be the third derivative of k**4\/4 - 32*k**2. Give w(a(m)).\nAnswer: -216*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 981606?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-2\/3))**(-6\/17)\/(o**0*o*o*(o\/o**(-1))\/o*o))**13 assuming o is positive.\nAnswer: o**(-832\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 396212 (base 12) to base 16.\nAnswer: e66ae","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -22435993 rounded to the nearest one thousand?\nAnswer: -22436000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.3 > 35?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4009811173 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -213 - -215. Suppose -4*b - 3*r = -26731300 - 5068697, -o*b = -4*r - 15900004. Round b to the nearest 100000.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -33, 8, 1 in decreasing order.\nAnswer: 8, 1, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a = -3*a + 35 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 437310 is divided by 162?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001111 to 4 decimal places.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 97*t - 2997. What is the remainder when 266 is divided by u(31)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-1 + (-3*sqrt(99) + -3 + sqrt(99) - ((sqrt(99) + (sqrt(99) - 5*(-3 + sqrt(99))) + sqrt(99))**2 + sqrt(99)))).\nAnswer: -2500 + 684*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d*d*d**(2\/3))**(-1\/2))**42\/(d**(1\/4)\/(d\/d**(-1))*((d*(d\/(d*d\/(d\/(d\/d**(1\/5)*d))))\/d*d*d)\/d)\/(d**1*d)) assuming d is positive.\nAnswer: d**(-1449\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 20420637 divided by 10\nAnswer: 20420637\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the third derivative of 0 + 0*u + 1\/12*u**4 + 3\/2*u**3 + 70*u**2. Calculate j(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 52, 107, 162?\nAnswer: 217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 2*c**3 - 5*c**2 - 5*c - 2. Let y be b(5). Let q = y - 96. What is the least common multiple of 23 and q?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(-8\/3))\/m)\/(m\/(m*m**(4\/7)*m*m)) assuming m is positive.\nAnswer: m**(110\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eight thirds of a millennium?\nAnswer: 32000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/4 in -2\/9, -10, 5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 3\/(((-54)\/75)\/(-6))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 343 in 0.3, 1\/533, -0.1, -0.3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -46*s + 4084 - 1002. Calculate the remainder when 388 is divided by s.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**3 + 23644*j**2 + 69903480*j + 139712400.\nAnswer: 2*(j + 2)*(j + 5910)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 38.463 - 40.81. What is u rounded to 2 dps?\nAnswer: -2.35","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zmzzzzzzzzzmzz. What is prob of sequence zzzm?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**2 - 35*l + 5. Let t(m) = -2*m**2 + 2*m. Determine -r(y) + 2*t(y).\nAnswer: -3*y**2 + 39*y - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 4*o = 28. Let d = o + -14. Suppose -4*k + 1 = z - d*z, 2*z - 9 = -k. Let v(w) = w**3 - w - 1. What is v(k)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 2*j - 2 = 0, 0 = q - 4*q - j + 6. Let y(x) = x**2 - 3*x + 4. Let b be y(7). What is the derivative of 4 - 7 + b*n**q - 42*n**2 wrt n?\nAnswer: -20*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-15)\/(-13) - 112\/728)*13669 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -36 + 33. Let h be n - 3\/((-6)\/2). Sort -4, h, -3, 1 in descending order.\nAnswer: 1, h, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -53 - -161. Let c = -104 + b. Suppose c*n + n + 1065 = 5*g, -5*g = 2*n - 1093. List the prime factors of g.\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1054*u = 1067*u + 130 for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -q + q + q**2 + 9*q**2.\nAnswer: 10*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -167*d + 41 = -106*d - 66*d + 3*u, 0 = d + 2*u - 10 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4\/25 (b) -0.4 (c) 1\/16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 207536*i**5 + i - 53736 wrt i?\nAnswer: 4150720*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8*1 + ((-3)\/3 - 2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let 321100\/11*z + 372\/11*z**3 + 2\/11*z**4 - 4943250\/11 + 21840\/11*z**2 = 0. Calculate z.\nAnswer: -65, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 3*x - 8. Let w(p) = -2. Let j(g) = -b(g) + 3*w(g). Suppose 3*q + 35 = 47. Determine j(q).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 47 = -22*o + 19*o, 0 = -3*o - 9. Which is the smallest value? (a) p (b) -0.4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -37 + 65. What is the remainder when 193 is divided by p?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -136 rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 544249 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100111101111110 - -1010100?\nAnswer: 100111111010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 2 g when three letters picked without replacement from gzggzggz?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**3 + v**2 - v. Let h(g) = 4*g**3 + 2*g**2 - 4*g - 7. Let r(x) = h(x) - 3*i(x). Let a(z) = z - 7. Let o be a(7). Calculate r(o).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42303 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -4580 (base 9) in base 8?\nAnswer: -6501","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes before 12:30 PM?\nAnswer: 10:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 12\/(-2) - (-370 - 4). What is the greatest common factor of k and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.36 - -16.36. Let o = 1.4 + -20.4. Let f = o + y. Which is the second smallest value? (a) 0 (b) -0.2 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = o - g - 2, 5*o - 3*g - 19 = -9 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -354, -616, -888, -1176, -1486, -1824?\n\"Answer: -c**3 + c**2 - 258*c - 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:00 PM and 2:19 AM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4320400121?\nAnswer: 1721, 2510401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 22383.918us in hours?\nAnswer: 0.000006217755","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -26 + 26. Let a be 18\/14 - (1 + i). Let a - 4\/7*g + 2\/7*g**2 = 0. What is g?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.059 * -5.\nAnswer: 0.295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -44*u**3 + 88*u**2 + 2 wrt u?\nAnswer: -264","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 363\/37 + -2393\/259. What is the common denominator of 36\/511 and u?\nAnswer: 511","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/10 of a centimeter?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 1795890?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**2 - c + 1. Let h be f(-1). Solve h*b + 0*b - 3*v + 15 = 0, 3*b - v = -7 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.02 and -2244093?\nAnswer: 44881.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 5*o. Let z(y) = -1877*y + 250*y + 383*y + 330*y + 558*y. What is z(s(i))?\nAnswer: -1780*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16695?\nAnswer: 3, 5, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) -63 (c) -0.2 (d) -8\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -245, -491, -737, -983, -1229, -1475?\n\"Answer: -246*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**3 - c**2 - c + 4. Determine a(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 268 = -m + 2*m, 0 = 4*n - 3*m - 203. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v**4\/4 - 19*v**3\/4 + 123*v**2\/4 - 305*v\/4 + 50 = 0. What is v?\nAnswer: 1, 5, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (12*11\/(-1485))\/(630\/81 - 8)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 7*j**2 - 1. Let p(s) = -8*s**2 + s. Let d(c) = 6*p(c) + 7*x(c). Let h(l) be the first derivative of d(l). Give h(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2 and 0.44.\nAnswer: 2.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*u + 353*u + 2101 = -16706 - 2445 for u.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -1794*h + 899*h + 896*h - 5. Give t(14).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3385414?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1\/4 (b) 3 (c) -1163\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1754 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 10) to base 5\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6594324*f - 6594324*f - 14*f**2.\nAnswer: -14*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -252, -1.556, 3.4 in descending order.\nAnswer: 3.4, -1.556, -252","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**3 + 27*n**2 - 5*n - 527. Let d be b(26). Solve 36*k = -y + 35*k + 5, 0 = 4*y + 3*k - d for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -173.9 + 174. Let m = -201 - -145. Is m <= s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (31*m - 133 + 133)*(2 - m - 2) + (-3*m**2 + 0*m**2 + 0*m**2)*(-2 - 2 + 2) in the form u*m + t*m**2 + d and give t.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 3, h: 17}. Give prob of sequence bbhh.\nAnswer: 4\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzxe when four letters picked without replacement from {t: 1, z: 2, x: 1, o: 2, e: 2}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jeh when three letters picked without replacement from jkejhkkeukeekjjeehj?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -145606.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the first derivative of -l**4 + 5*l**2\/2 - 5. Find the second derivative of m(w) wrt w.\nAnswer: -24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-5)\/(o**(1\/6)*o*o*o))\/(o*o\/((o**(1\/4)\/o)\/o))**(-28) assuming o is positive.\nAnswer: o**(581\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -26207666*s + 305851 wrt s.\nAnswer: -26207666","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.077 take away -479?\nAnswer: 479.077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 9253?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 y when two letters picked without replacement from {y: 1, c: 3, r: 6, d: 3, w: 1, k: 2}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1809?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -463 - -1629. Suppose z = 4*y - 510. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbmm. What is prob of sequence mmb?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, 5, 43, -4?\nAnswer: 43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12 + 25. What is the remainder when 64 is divided by j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -13440, -26870, -40300, -53730?\n\"Answer: -13430*h - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -3, 0.074, -1 in decreasing order.\nAnswer: 4, 0.074, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 241644191?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18779796?\nAnswer: 2, 3, 7, 24841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1130 = 2*m - o, 3*m + 5*o - 355 = 1314. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 193088 and 13464871.\nAnswer: 3017","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -52141\nAnswer: -2\/52141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3561 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 24*t + 126. Let c(k) = -k**3 - 8*k**2 + 32*k + 251. Let p be c(-8). Determine q(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/29 in -0.2, 2\/201, 1\/4?\nAnswer: 2\/201","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 1564*g + 7820. Let c be k(-5). Let l(q) be the first derivative of -20*q**2 - 7\/2*q**4 + 12 + 0*q**3 + c*q. Find the second derivative of l(f) wrt f.\nAnswer: -84*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -75\/368 and -5\/288.\nAnswer: 6624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(208) - (5*(sqrt(208) + 2))**2) + sqrt(208) + (sqrt(208) - -1*sqrt(208))**2 + 4 - (1 + sqrt(208) + -1 + 0 + 2)).\nAnswer: -4470 - 396*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -w - 4, 8*c - 5*w - 20 = 10*c. Factor -6\/7*m + c - 4\/7*m**2.\nAnswer: -2*m*(2*m + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 5*z**3\/4 - 75*z**2\/4 - 565*z\/2 - 750 = 0.\nAnswer: -6, -4, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 158\/1106*(-2 + 1).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**3 - 19*r**2 + 63*r - 63. Let z be (-7 - (-282)\/12)\/(6\/(-8)). Let w be f(z). Solve 0*b + 3 = -3*b - w*i, 5*b = i - 29 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l**6*(l**2\/l)\/l*(l**(-6)\/l)\/(l**(-4)*l) assuming l is positive.\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-15 - -1)*11\/22. What is the remainder when 33 is divided by (-162)\/(-14) - 3\/k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 97 and 58588?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 15\/80*-4 - -1. Solve -3\/4*d**2 - 3\/4*d - 1\/4*d**3 - f = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/5 in -2\/27, 3, -9, 67?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (912 - 1625 + 871)*(-78*p**2 + 34*p**2 - 10*p**2).\nAnswer: -8532*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -4*c + 26, -3*c + 57 = 5*z - c. Let n(b) = 3*b**2 - 6 + 2 + 0 - z*b - 7. Let i(h) = h**2 - 4*h - 4. Give -11*i(g) + 4*n(g).\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3846 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -232112.20000128 + 232113. Let a = 0.8 - t. Round a to seven dps.\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the third derivative of -q**7\/945 - q**6\/270 + q**5\/270 + q**4\/54 - 99*q**2. Solve a(u) = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 363 - 220. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**2 - 647. Let m(w) = 28*w. Give m(q(j)).\nAnswer: -28*j**2 - 18116","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8861\/5 <= 2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7991, 7991, 7985, 7973?\nAnswer: 7955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -281417 divided by -347\nAnswer: 811","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*b**3 - 2*b**3 + 369*b**2 + 1089*b**2 to the form f*b + k*b**2 + d*b**3 + n and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 + -3. Let l = 25 + -29.4. Let k = l + 4. What is the second biggest value in 0.2, k, i?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**2 + 4*y - 2. Calculate the remainder when 720700\/8100 + (-20)\/(-810) is divided by i(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -75\/1012 and 17\/7.\nAnswer: 7084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6551312441?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -542 - 54 = -4*o. Suppose 3*b = -2*u + o, -5*u + 187 = -0*b + 4*b. Let l = 57 - b. Calculate the highest common factor of 44 and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69 is divided by 10 - (0 - (-1 - 0)) - 1.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -281, -495, -711, -929, -1149?\n\"Answer: -o**2 - 211*o - 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (5 - (2 + -1)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 - 38 = -3*l. What is the lowest common multiple of l and 62?\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14.67 + 2.66. Let c = 5.9 + -6.73. Let b = c + r. What is b rounded to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1857971 or 1857973?\nAnswer: 1857973","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/1008 and 61\/27?\nAnswer: 3024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 + -5.989. Let p = -3992.988884 - -3993. Let y = h - p. Round y to five dps.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -249 in -9.022, -1, -3?\nAnswer: -9.022","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -454, -449, -446, -445, -446, -449, -454?\n\"Answer: -c**2 + 8*c - 461","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(-8)*v**(-1\/6)*(v*v\/(v*v**(-2\/19)))\/v**7)\/((v\/(v*v\/v**7))\/v*v\/(v\/(v*(v**(-3\/5)*v)\/v)))**22 assuming v is positive.\nAnswer: v**(-66041\/570)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 3*j - 103 = 175, -169 = -3*q + 4*j. Suppose q = 5*f - 0*f. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 206 - 103 - 8*y**2 - 103.\nAnswer: -8*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 - -1. Let o be 10\/(-12) - (-14 - -13). Put y, -3, o in descending order.\nAnswer: o, y, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhyhye. Give prob of picking 1 y, 1 e, and 1 h.\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**2 + 12. Calculate r(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 821340 divided by -41067.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3112 is divided by 1307.\nAnswer: 498","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 4*n - 36, -2*g + 13891 = 7*n. List the prime factors of g.\nAnswer: 5, 19, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -22 and 849?\nAnswer: 871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1621222 + -1621222. Let c = -1 + 3. Solve 0 = 3*n + 4*h - 0 - 13, 2*n - c*h - 4 = i for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -12*t + 92. Let a(p) = -15*p + 95. What is -3*a(w) + 4*v(w)?\nAnswer: -3*w + 83","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1081522 - 420522. Round w to the nearest 100000.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -168\/17 (b) -2\/7 (c) 12 (d) -0.1 (e) -186 (f) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 637.6194ug?\nAnswer: 0.6376194","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1331)*-2 + sqrt(11))**2 + -3 + -4 + sqrt(11) + 1.\nAnswer: sqrt(11) + 4845","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**2 - 6*q + 8. Give v(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**3 + 60*f**2 - 60*f + 64. Let s be c(59). Suppose s*j = 3*u + 300, -4*j - 4*u + 117 + 123 = 0. Calculate the highest common divisor of j and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, m: 1, x: 2, u: 2, k: 8, t: 1}. What is prob of picking 2 k?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: cda (base 14) to base 2\nAnswer: 100111110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -2*b + 12. Let k be h(4). Let l = -942 - -956. Solve l - k = -2*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1281931647?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11200 and 300.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) 2 (c) -0.07 (d) 3 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(720)*-2)**2 + (sqrt(5) + (sqrt(10) + sqrt(40))\/sqrt(2) - sqrt(5)) + 5 + (sqrt(20)\/sqrt(4)*6)**2.\nAnswer: 3*sqrt(5) + 3065","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 81, 68, 53, 36, 17?\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*p - 24*p**3 - 2*p + 5*p**3 + 6*p + 3*p + 6*p**2 in the form v*p**2 + b*p + a*p**3 + s and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/((i\/(i*i*(((i*i**22)\/i)\/i)\/i))\/i))\/(i\/i**(-2\/5)))**23 assuming i is positive.\nAnswer: i**(2484\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8500.86036 - 8501. Let c = 0.14 + z. Round c to four dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 65 - 70. Let o(h) = -2*h**3 - 8*h**2 - 3*h + 10. Does 9 divide o(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = 26 - 34. Suppose -m*h + h = -2. Let z be 1*h - (-36)\/12. Solve -5*i = 5*t - 3*t - 3, -9 = -t + z*i for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 6 = 10. Let k = -2 - y. Solve -4*q + k = 10 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and 534.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b - 3, -14*u + 13*u - 2*b = -2. Solve -u*q - 282 = -266 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 - 330203?\nAnswer: -330210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*z + 13 = 4*z + 3*l, -5*z - 2*l - 23 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 220, 155, 90, 25, -40?\nAnswer: -105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 13116837?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-114)\/2*(-4)\/6. Let i = h - 26. Is i a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) -0.4 (c) 0.1 (d) -2 (e) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 194540 divided by -20.\nAnswer: -9727","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5760 - 25?\nAnswer: 5733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 u when four letters picked without replacement from {j: 2, u: 7}.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1242 - 1252 - 1242 + 40*a + 3736.\nAnswer: 40*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2422\/(-1384) + 2\/(-16)*-10.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1.416 times -1256\nAnswer: 1778.496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14224*a**6*s - 67*a**3*p - 2*a**3 - a**2*p*s - a**2*s - a**2 + 29*a*p - 2*a*s + 58*p wrt a.\nAnswer: -1706880*a**3*s - 402*p - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**4\/x**(1\/2) assuming x is positive.\nAnswer: x**(7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 735, 731, 729, 729?\nAnswer: 731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96*h + 125*h - 235*h = 1330 for h.\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -4*u - 6. Let g(k) = -k**2. Give g(t(d)).\nAnswer: -16*d**2 - 48*d - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 4*b + 1. Let n be y(-2). Let f = -5 - n. What is the remainder when 6 is divided by f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000576733 rounded to 6 decimal places?\nAnswer: 0.000577","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -72486, -72520, -72564, -72624, -72706, -72816, -72960, -73144?\n\"Answer: -p**3 + p**2 - 30*p - 72456","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s = 4*n - 14, 0 = 6*n + s + 2*s for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -884\/3 - -22148\/75. Factor 4\/25*r**2 - 2\/25*r**3 + 8\/25*r - k.\nAnswer: -2*(r - 2)**2*(r + 2)\/25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 71 = -t - 258, -2*t - 10 = 0. Let x be (-9)\/2*(-9)\/o. Let q = -89\/72 + 10\/9. Which is the second biggest value? (a) -0.2 (b) q (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 4*j - 2. Let c(o) = -o + o**3 - 6*o**3 + 6*o + 3*o**2 + 4*o**3. Calculate the smallest common multiple of c(4) and l(5).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 12237*o + 1394990. Calculate a(-114).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(14)\/sqrt(2) + -2 - sqrt(84)\/(sqrt(48)\/sqrt(4) + sqrt(12)).\nAnswer: -2 + sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**3 + 23*o**2 - 676*o + 92631. Give c(-60).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 1636*c**2. Let x(p) = -p. Determine h(x(i)).\nAnswer: 1636*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 117 = -z + 4*z. Let i be z\/(2 + -1) - -1. Suppose -4*f = f - i. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 728 = -3*k, -11*k + 3*w = -6*k + 1168. Which is greater: -242 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z + 3926*j - 3922*j + 24, -z + 2*j + 12 = 0. Let v = 32 - 19. Solve -q - 2*m = -7, q + 4*m - v = -z*m for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes after 2:49 AM?\nAnswer: 5:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 30 + -72. Suppose 298 - 1530 = -8*m. Let y = m + w. Is 26 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3, s: 2}. Give prob of picking 3 b.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 3*r**4 - 3870*r**3 - 519096*r**2 - 16325442*r + 16848405 = 0.\nAnswer: -63, 1, 1415","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 6517 + 4*2*10\/20 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 927846542?\nAnswer: 2, 7, 23, 83, 149, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -332, -333, -334, -335?\nAnswer: -336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/123 in 5, -0.3, -61?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 7, j: 3}. What is prob of picking 2 j and 2 i?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13433280*m**3 - 13656*m**2 + 46*m - 15 wrt m?\nAnswer: 80599680","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -24 - 12?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1129068?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1570797.\nAnswer: 3, 174533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-43663*f**2 + 487*f**3 + 2*f + 43663*f**2 - 2*f)*(-f + 16*f + 31*f) in the form r*f**3 + w + s*f**4 + x*f + u*f**2 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-31)\/868*14)\/((-8)\/(-368))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 - ((12 + -4 - -1) + -8).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/6*117\/(-52)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -441*r**4 + 69*r**4 - 286 - 484*r - 1468*r**3 - 36*r**5 + 560*r**2 - 1884*r - 482 - 3292*r**2 = 0. Calculate r.\nAnswer: -3, -8\/3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88606.43ug in nanograms?\nAnswer: 88606430","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, 17, 2, 2\/3, -1 in decreasing order.\nAnswer: 17, 2, 2\/3, 1\/2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 247 + -232. What is the highest common factor of u and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 107 divide 1060?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 147*k + 70. Determine z(-8).\nAnswer: -1106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 2*-39824\nAnswer: -79648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 584 + 3101 = -3*v, 0 = 3*c + 4*v - 2496. Does 49 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the second derivative of -a**5\/60 - 3*a**2 - 4*a. Let i(s) be the first derivative of y(s). Let v(u) = 0*u + 5*u - 3*u. What is i(v(p))?\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -582, -4 in decreasing order.\nAnswer: -4, -5, -582","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3364 and 7569.\nAnswer: 30276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 73550830?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 - 8. Let q = -3 - -5. Let r = q - 3. Which is the nearest to i? (a) 2\/7 (b) r (c) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33 is divided by 3\/(-3) - (-7 - 3).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -32 + 41. Suppose -3*v = m, 6*d = d - 4*v + 3. What is the second derivative of 0*a + 2*a**3 - 17*a**d - 5*a wrt a?\nAnswer: -90*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19.9 - -19.811. Let i = f - -0.679. Round i to one decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -0*r + 2. Suppose 0 = 124*n - 133*n + 6165. Suppose 0 = r*l + n - 3827. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.11414 - 0.3.\nAnswer: -0.41414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0264 rounded to 3 dps?\nAnswer: -0.026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, -78, 4, 8 in increasing order.\nAnswer: -78, -2, 1, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 37*u - 183. Let c be v(5). Solve -2*s + 3 + 16 = 3*d, -4*s - c = -2*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -5*r - 3455, 0*r + 3*k = r + 675. Is (-6)\/2 - r - 1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -21.644 + 25.544. Which is smaller: h or 1\/11?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1331885 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: Let w(s) = -3089*s. Let l(c) = 21912*c. Determine w(l(n)).\nAnswer: -67686168*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 287*n**2 + 333*n**2 - 621*n**2.\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2088911493 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 3 = -o, 4*o = 3*j + 2 + 10. Let a(x) = -7*x + 21. Let q be a(o). Suppose -4*y = -q*y - 40. What is the lowest common multiple of 68 and y?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1850*o - 55475 - 33325 for o.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6*(-4)\/(-32))\/(13\/(-8) + 0).\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -1\/6, 5, -47, 1\/2 in ascending order.\nAnswer: -47, -1, -1\/6, 1\/2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - 101 - 180. Suppose -2*m - 5*d - 132 = -383, 2*m = d + l. What are the prime factors of m?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 12 = 4. Let y(n) = n - 2. Let s be y(7). Suppose -35 = -s*j - 3*o + 30, -4*j + 4*o = -52. Solve -4*g - 8 = -3*h, 4*g = 7*g - p*h + j for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange k**2 + 26 - 14 - 14*k - 9 to m*k**2 + t + a*k and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*g**2 - 847124 + 847124 - 5*g.\nAnswer: 2*g**2 - 5*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1394 and 6273.\nAnswer: 12546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13 - 8. Suppose b*s - 4*l + 212 = 765, s = 2*l + 107. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -156*(-6)\/9 - (-1 + 1). What is the common denominator of 61\/4 and (-781)\/(-378) - (-4 + d\/28)?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 57 = -10*p + 9*p, 5*b - 5*p = 40. Solve -t - 9 = -b for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -215040 by 30720.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 585580 to the power of 1\/5, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u + 3*j + 9, j + 2 + 1 = -2*u. Suppose 126*k - 133*k + 2961 = u. List the prime factors of k.\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 19 = 3*h, 0 = i - 2*i + 5*h + 21 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/6 and (-5)\/((-10)\/(-112))*(-101)\/(-19695)?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (1 - (-2 - 1)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 565 - 562.575. What is i rounded to 1 dp?\nAnswer: 2.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 6*b - 71. Let x be a(11). Is 25 + ((-30)\/x - 0) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 5 - 2)*(0*k**3 + 3*k**3 - 6*k**3) - 4 + 4 + k**3)*(-4*k + 4*k + 7*k).\nAnswer: -35*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 2*s. Let q(b) = 18 - 44317*b**2 + 44254*b**2 + 2. What is t(q(g))?\nAnswer: -126*g**2 + 40","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/19168 and 75\/34592.\nAnswer: 20720608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1395)\/(-186))\/((-12)\/16)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -2*w**3 - 5*w**2 + 24*w + 413. What are the prime factors of k(-16)?\nAnswer: 11, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -94*z + 3758. Let d be w(40). Let s = -28 - -13. Sort d, s, 4 in decreasing order.\nAnswer: 4, d, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 - -6. Suppose -w*o + 6*o - 24 = 0. Does 8 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -34813966.69000086 + 34813966. Let s = l - -0.69. Round s to 7 decimal places.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2011 + -2008. Solve 5*d + 5*k = 20, -4*d - k - j = -4 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 938 or 498?\nAnswer: 498","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 66*y**3 + 1254656*y**2 - 76040*y = 0.\nAnswer: -19010, 0, 2\/33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*r - 25*r + 34*r**3.\nAnswer: 34*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(2\/5))**(10\/11)*(x**(2\/3))**8 assuming x is positive.\nAnswer: x**(188\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1250 (base 11) to base 3.\nAnswer: 2020022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4420 and 22629295.\nAnswer: 1105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 2325*a**2 + a**3 + 1 - 2325*a**2 + a as s*a**2 + j + o*a + p*a**3 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 74986.86 millimeters to micrometers.\nAnswer: 74986860","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 338076305?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6969592?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.295 and 3.\nAnswer: 0.885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*d**2 + 3*d**2 + d**5 - 1 + 1 - 2*d**5 + 3*d - 3*d + 2*d**5 + (3*d**2 + d**3 - 3*d**2)*(4*d**2 - 3*d**2 + d**2) - 6*d - 28 - 27 - 2*d**5 + 57.\nAnswer: d**5 - 6*d + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**3 + 83*t**2 - 237*t - 244. Calculate d(80).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 0.1 (b) 2 (c) 31 (d) 0.08\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 0.08 (b) 2 (c) 2\/7 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11 + -421)\/(-27) - (-3 - -19).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 13608036?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t + t. What is the nearest to t in 6, -5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2321310 - -13023011?\nAnswer: 22010321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1937\/(-4835) - (-4)\/10. Let x = -353003\/77360 - q. Calculate the common denominator of x and (-25)\/(-60)*(-474)\/(-40).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 4 = -4*h, -4*h - 5*f + 2*f + 1 = 0. Let p be h - (-3)\/(6\/7). Which is smaller: p or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 11*p - 8*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14692 + 389*p**2 - 411*p**2 - 14692.\nAnswer: -22*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, 2\/7, -5, -3792 in decreasing order.\nAnswer: 5, 4, 2\/7, -5, -3792","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -3 - 2*x - 3*x + x**2 + 5. Let g be u(5). Suppose -r - 270 = 4*c - 302, 2*c = 5*r - 6. Solve -g - r = 2*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13181933?\nAnswer: 13181933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 328*m**3 + 5*m + 2*m**2 + 335*m**3 - 74*m - 663*m**3 - m**4 to the form g*m**3 + w*m + c*m**2 + h*m**4 + y and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes after 10:14 AM?\nAnswer: 2:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 - 0. Suppose 3*s - 4*d = 31, 4*s - 45 + 17 = t*d. Let c be (-9)\/(9\/(-3)) + -3. Solve c = -0*w - s*w - 10 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*o**4*q + o**3*q - 177*o**2*q - 2*o*q - 4*o - 3*q + 26 wrt o.\nAnswer: -36*o**2*q + 6*o*q - 354*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 20 + -234. Let f = q - -209. Which is the closest to 1? (a) -3 (b) 4 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -24, -29, -38, -51, -68, -89, -114?\n\"Answer: -2*t**2 + t - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2\/5, -0.13, 0.4, -4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*j**2 + 23*j + 8*j**2 - 5*j**2 as b*j + y*j**2 + o and give b.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*j - 4. Suppose -3*c = -l - 3*l - 6, j*c - 4 = 4*l. Let b be 1\/(l\/(-12)) + 0. Calculate the greatest common divisor of 12 and b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**3 + 5*v**2 - 3*v - 4. Let t be r(4). Put t, -2, -1 in descending order.\nAnswer: t, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w**14\/w*w)\/w)\/w)\/(w\/(w*w**(-14))))**(-4\/9)*((w*w\/(w**(-1\/6)*w))\/(w**(2\/17)*w))**(-5\/2) assuming w is positive.\nAnswer: w**(469\/612)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 - -5. Let p = 3 - 6. Let u = p + 3. Which is the nearest to u? (a) -1\/4 (b) o (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in 42, 3224, -3, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i - 5*u + 189 - 4, 5*u = 25. Solve -30*r = -34*r - i for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 279, 275, 249, 189, 83, -81?\nAnswer: -315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l - 104 + 86 = 0. Let k(g) be the second derivative of 0*g**2 - 4*g - 1\/3*g**l + 1\/12*g**4 + 0. What is the second derivative of k(c) wrt c?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-5)*15\/(-18)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -67 - -30. Let x = g + 34. What is the closest to -0.1 in -4, 0.01, x?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -7*y - 280. Let w(g) = 8. Let i(m) = -b(m) - 35*w(m). Let l(n) = -2*n. Give l(i(k)).\nAnswer: -14*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -51 + 55. Let d be u + (-7)\/4 + -2. Let g = 147 - 149. Which is the biggest value? (a) d (b) 4\/5 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -23bab - -1?\nAnswer: -23baa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -891993 = 212*q - 876 + 599031. Is -7031 < q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 2*p**3 + 34*p**2 + 132*p - 14. Let z be d(-7). Calculate the highest common divisor of 4214 and z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1659855\/68 + 97639\/4. What is s in -p*s**5 + 0*s - 4\/17*s**4 + 0 - 2\/17*s**3 + 0*s**2 = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -61 - -2 - (-872 - -793)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -3965995*q**2. Let a(l) = -l**2. Give a(h(p)).\nAnswer: -15729116340025*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -617, -1213, -1809, -2405?\nAnswer: -3001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(1700) - (sqrt(1700)*2)**2) + -3).\nAnswer: -27212 + 40*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 1725 = t. Let r be (-484)\/(-10)*t\/(-24). Let g = 700 - r. What is the common denominator of g and -57\/14?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 33996 = -2*u, u - 5*u = -16. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 3613, 7259, 10919, 14593?\n\"Answer: 7*u**2 + 3625*u - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2a9 (base 15) in base 7?\nAnswer: -1530","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**3 + 6*n**2 - 6*n + 5. Let u be k(5). Let q(j) = -j + 9. Let o be q(4). Suppose u = o*i - 4*i + 6200000. Round i to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -765*k**2 + k - 4. Let q be j(2). Let l = -42893\/14 - q. Let f = 116\/27 - 1387\/216. Calculate the common denominator of f and l.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 106\/16*1356\/(-15). Let j = l - -602. Let t = -2131\/114 + 48\/19. Calculate the common denominator of j and t.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 140 (base 6) to base 13.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3190066812?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/10)\/((-8)\/25) + (-484)\/16?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 20020 (base 5) to base 7\nAnswer: 3450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-1599)\/6*(-1364)\/4433\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.310002 - 0.31. Round a to six dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8497 a factor of 2362004557?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/95316 and 53\/1779232.\nAnswer: 5337696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 595 = -8*b + 3*b, o - 595 = -5*b. Calculate the greatest common divisor of 34 and b.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -180, -457, -734, -1011, -1288, -1565?\nAnswer: -1842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x - 2*x + p + 3643, -3*x + 2157 = 3*p. What is the remainder when x is divided by 66?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92989 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 855624 and 528.\nAnswer: 1711248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n**(-1\/61)*n))**3\/(n**46)**(1\/7) assuming n is positive.\nAnswer: n**(-2785\/427)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the third derivative of -1\/2*a**4 - 2\/5*a**5 - 1\/70*a**7 - 1\/8*a**6 + 0*a - 18*a**2 + 0*a**3 + 0. Factor r(t).\nAnswer: -3*t*(t + 1)*(t + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -22*28\/1848*975\/13.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 76\/674523 and 69\/2012?\nAnswer: 2698092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2127 + -1543. Calculate the smallest common multiple of 16 and l.\nAnswer: 1168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.5 - -0.2. Let v = 194008 + -194017. What is the nearest to 0.1 in p, v, -5\/4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91 = -o + 4*p + 81, 0 = 5*o - p + 12 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2279397319 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (3 + 89)\/1 - -2 is divided by 25?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 95270 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102) - (sqrt(102) - (sqrt(102) + -2*sqrt(102))*-5) - sqrt(102))\/(-2*sqrt(96)).\nAnswer: -sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/60*20\/(-8).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -485118378 * 3\nAnswer: -1455355134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 23759 or 0?\nAnswer: 23759","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/14 + (-45)\/(8820\/(-56)).\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16479548 smaller than 30?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -26 + 17 + 17 + (3 - 2 - 30) + -5.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the first derivative of -k**7\/840 - k**5\/120 - 5*k**4\/12 - 20*k**3\/3 - 27. Let n(o) be the third derivative of f(o). What is n(0)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(8)*1 - sqrt(6)\/sqrt(27).\nAnswer: 5*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -160*i = -159*i - 42191. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 355.4 + -324.205. Let j = t + -31. Let o = j - 0.34. Round o to two dps.\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3123706 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 0*i + 6\/5*i**2 + 3\/5*i**4 - 9\/5*i**3 + 0 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 e when two letters picked without replacement from zvzzzkeku?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -61 - -67. Suppose -z = -7 - v. Let h = z - 8. Solve 2*g = -3 - h for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-52)\/(-14) - (11 + -7)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4040 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -59 + 111. Suppose 3*y + i = r, 0 = 5*r + 3*y - 119 - 231. Does 21 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 644 - 388. Let f = y + -262. Which is the third smallest value? (a) 1 (b) 0.01 (c) f (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(1*1*sqrt(72) + 3 + 4).\nAnswer: 35 + 30*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7392 and 2368.\nAnswer: 547008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**3 - 31*m**2 + 27*m - 155. Let q be n(-32). Let i(r) = q*r + 2*r**3 - 7 + 11 - 4 + 6*r**2 - r**3 - 2. Determine i(-6).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -43 - ab96?\nAnswer: -b019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the third derivative of 1\/6*t**3 - 1\/60*t**5 + 5*t**2 + 0 + 0*t - 7\/24*t**4. Calculate g(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (95*l**2 - 66 + 66)*(0 + 0 - 2)*(-1 + 2 + 1) to u + g*l + d*l**2 and give d.\nAnswer: -380","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 24561984 to the nearest integer?\nAnswer: 291","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 179 a factor of 29744?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in one tenth of a gram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/((c**13\/c)\/c)*c)\/(c**(-4\/3)*c))\/(c\/c**(-7))**(-12\/7) assuming c is positive.\nAnswer: c**(106\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1902645878.\nAnswer: 2, 7, 101, 1345577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 21 divided by -19\nAnswer: -21\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -y**2 - 196701456*y - 9672865698129984 = 0.\nAnswer: -98350728","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1451940?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 30*q**2 + 2098*q - 129. Calculate v(-70).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 2*t - 10 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/19, 2\/9, -0.22, 4, 37?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11551783.8 rounded to the nearest 1000000?\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.55 - 0.15. Let o = -1.5 + j. Let b = 2.2 + o. Do b and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.043828 + -0.04513605. Round b to 5 decimal places.\nAnswer: -0.00131","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 - 19 + 9 - 4*z**3.\nAnswer: -4*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*z + 339 - 730 = 425 for z.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(18\/11)*l**(-6\/7)*((l**(-24)*l)\/l)\/l**(-18) assuming l is positive.\nAnswer: l**(-402\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(15)\/(2*1*sqrt(5)).\nAnswer: sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - p = -7, -6*v - 2*p + 15 = -v. Let k = -33 + 38. What is the second derivative of 20*q + k*q**2 - 29*q + v - 1 wrt q?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -159, -111, 7, 231, 597?\n\"Answer: 6*i**3 - i**2 + 9*i - 173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1937?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-189 - -187) + 1 + 6. What is the closest to 101 in -4\/3, -1, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.3, -1\/3, 8952\/5119?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 0 (b) 5\/34 (c) 1\/341 (d) 5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 2843 divide 227830370?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1845?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -147\/13 - -683\/65. Let x = 2 - 3. Which is the closest to -1? (a) x (b) 0.5 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 62, 2\/23, -0.1 in ascending order.\nAnswer: -3, -0.1, 2\/23, 62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -134*w + 177 wrt w.\nAnswer: -134","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a millennium in months?\nAnswer: 57000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11*c**2*v**3 - 12*c**2 + 12*c*v**2 - 165*v**3 wrt c.\nAnswer: -22*v**3 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:19 PM and 4:04 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1ca2 (base 14) in base 8?\nAnswer: -12166","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -5*p - 15, f + 3 = -5*p - f. Is p + 0 + 172 + 6 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - 5*c = 16, 5*b - 4*c + 5 = 22 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 275405 is divided by 233.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 358262 less than 325980636?\nAnswer: 325622374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 20*i - 44*i - 15*i in the form p + n*i and give n.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.2009073 to 0 dps.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 36 - 26. Let s = d - -5. What is the greatest common factor of 3 and s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 5 (b) -8 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 21732.0272 rounded to the nearest one thousand?\nAnswer: 22000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1750, -1756, -1762, -1768, -1774, -1780?\n\"Answer: -6*t - 1744","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -4528*v. Let r(n) = n**2. What is r(o(y))?\nAnswer: 20502784*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 299*c + 34122 = 12295 for c.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -49 + 130. Let q be (x\/18)\/(2\/16). Let h be (-2 - -1) + 40\/q. Sort h, 0.4, 1\/2 in ascending order.\nAnswer: h, 0.4, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 559131 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 2*f**3 + 18*f**2 - 214*f - 1938. Give r(-9).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -2*q + 5*q. Let x be 6*(-6)\/16*4. Let c(g) = 3*g + 1. Let u(o) = -13*o - 4. Let l(y) = x*c(y) - 2*u(y). What is l(q)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1078\/(-392)*(-8)\/(-2).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -4*n**2 - 876*n - 7006. Give a(-8).\nAnswer: -254","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1034*q - 568*q - 465*q + 55.\nAnswer: q + 55","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 502416460.\nAnswer: 2, 5, 7, 13, 41, 6733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2817740 and 10566525?\nAnswer: 42266100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the second derivative of g**4\/6 - 4*g - 1. Let c(l) = 5*l**2. Determine z(c(m)).\nAnswer: 50*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lgb when three letters picked without replacement from lblbbgbllbbbbbllllll?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add 76779 and -199846.\nAnswer: -123067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 1132210?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes after 11:05 PM?\nAnswer: 2:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -155 smaller than -621\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b + 27 - 11. Let m(k) = k**2 + 4*k. Let q(a) = 5*a**2 + 15*a. Let c(z) = b*q(z) + 15*m(z). Let r(o) = 2*o**2 - o**2 - 4*o**2. Determine c(r(v)).\nAnswer: -45*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36 - 36 - 6*j**3 + 0*j**3.\nAnswer: -6*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -5*q + 1 + 5 - 2 - 2. Let d(z) = -4 + 162*z + 2 - 79*z - 79*z. Determine 2*b(k) + 3*d(k).\nAnswer: 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 61551 and 112355.\nAnswer: 7078365","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*i - 119*k + 121*k + 4, -i = 5*k + 10 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**3 + 3*s**2 + 2*s. Let z = -1 + -1. Let w be r(z). Suppose w = 4*b - 5*b - 2*f, -4*f = 0. Which is smaller: -1\/4 or b?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 18, 0, 13942 in decreasing order.\nAnswer: 13942, 18, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -54*m**2 - 3*m - 2. Let l be k(8). Let g = l - -13855\/4. What is the common denominator of (-428)\/72 - (3 + -2)\/3 and g?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1344306 (base 7) in base 9?\nAnswer: 302730","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -13*k - 12. Is w(-11) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1963*l**3 - 2043*l**3 + 6 + 3932*l**3 - 3*l**2 + 7*l + l**4 - 4 - 2*l to the form i*l**2 + j*l**4 + z*l + c + n*l**3 and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 284097 to the nearest integer?\nAnswer: 533","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 12876 = -3*h + 2*u, 2*h = -u + 12873. Suppose -25*w - h = -y - 23*w, 4*w = -3*y + 19295. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29714.\nAnswer: 2, 83, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*d**4 - 1 + 1 + (10*d**2 + 7*d**2 - 4*d**2)*(3*d**2 - 4*d**2 + 3*d**2) + (3 - 3*d**2 - 3)*(-5*d**2 + 6*d**2 - 2*d**2) - 436*d**4 + 227*d**4 + 218*d**4.\nAnswer: 36*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.01 + -2.01. Let h = 11775 + -11777. Which is the nearest to h? (a) 2\/9 (b) -2\/19 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y - 5. Let t be s(-8). Suppose -5*q = -g - 23, g = t*g + 6. Suppose -q*n + 5*z + 26 = 0, 0 = 2*z - 5*z + 6. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**5\/l)**(-41))**(-1\/2) assuming l is positive.\nAnswer: l**82","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t\/(t**(-2)\/t))\/t)\/t)\/t*t\/(t*t**(2\/9)*t*t))**16 assuming t is positive.\nAnswer: t**(-176\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the third derivative of -5*n**8\/28 + 38*n**7\/105 + 7*n**6\/6 - n**5 - 10*n**4\/3 - 8*n**3\/3 - 562*n**2. Suppose o(c) = 0. What is c?\nAnswer: -1, -2\/5, -1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 435059219 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 - (-1 + 1) - -15. Suppose 3*o = -0*o + f. Suppose 0 = -r + o*r - 76. Calculate the remainder when 37 is divided by r.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 6533, 12942, 19311, 25652, 31977, 38298, 44627?\n\"Answer: 2*t**3 - 32*t**2 + 6491*t + 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t + 86 + 54. Let l = t - 16. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 11 + 7 = -4*q, -2*q - k = 7. What is the closest to q in -0.2, -11, 0.4, -4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/3*-1*3. Let p be (-4)\/(-5) + 2 - 22\/(-1045)*-38. Solve 5 = -j - 3*f, 2*f + p = l*j - 6*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -27 + 24.3. Let s = -8 - -5. Let i = k - s. What is the third biggest value in -5, i, -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 + -3. Let m be 12\/(-18)*(g + 2). Are m and -3\/4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1008) + 1 - sqrt(7))*5*4*-1.\nAnswer: -220*sqrt(7) - 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/9, 0.5, 1, 2\/15, 11 in decreasing order.\nAnswer: 11, 1, 0.5, 4\/9, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 21280 divided by -4256?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7437?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 4*p - 5*p + 9, s = p + 3. Let y be (6*-1 - -1) + s. What is the tens digit of (-18 - -6)\/(2\/y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -4*a**2 + 3*a - 2. Let i(w) = -7*w**2 + 6*w - 3. Let x(s) = -5*d(s) + 3*i(s). Let l be x(3). Let z be -5*2*l\/(-2). Solve p = z*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 22 - ((1 - 1) + 1 + 6)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*r**2 - r**2 - 5*r**2)*(517 + 15*r - 6*r - 514)*(2*r - 4*r + r).\nAnswer: 18*r**4 + 6*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 88.784 + -89. Let o = -0.116 - h. Which is the nearest to o? (a) -1\/4 (b) -2\/17 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + x + (-1 + 2*x + 1)*(-5 + 1 - 7))*(-45 + 20 + 1)*(-3 + 0 + 2).\nAnswer: -504*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y - 9186 = -2986. Let f = y - -1802. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3153789?\nAnswer: 3, 17, 6871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 33394100 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -806 - -804. Let w = -70 - -69.8. Let r(f) = f**3 + 6*f**2 + 4*f. Let h be r(-5). What is the smallest value in o, h, -1, w?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -24 - -20040502?\nAnswer: 20040456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(102)\/sqrt(24) + sqrt(85)\/(sqrt(15)\/sqrt(3)) + (-1 + sqrt(272) + -1)**2.\nAnswer: -29*sqrt(17)\/2 + 276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -56014561 - 7148.\nAnswer: -56021709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**2\/r*r**(-2\/15))**(-3\/31) assuming r is positive.\nAnswer: r**(-13\/155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71456*s**3 - 172 - 188 + 546 - 186.\nAnswer: 71456*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 85\/204*(-2)\/5.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6 - -0.04885?\nAnswer: -0.55115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -46, -90, -146, -220, -318, -446?\n\"Answer: -a**3 - 37*a - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/4*(-3104)\/(-3492)*(-9)\/(-10).\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 16.76165 millennia?\nAnswer: 201139.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 31, 46, 59, 70, 79?\n\"Answer: -o**2 + 18*o + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 6b82 (base 13) to base 8\nAnswer: 35453","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -5169*-782\nAnswer: 4042158","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 s, 1 e, and 1 w when four letters picked without replacement from {w: 1, r: 1, d: 4, s: 1, e: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1811 + 2979. Is 16 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j**2 - j**2 - 4*j**2)*(-3 - j**2 + 3) - j**4 + 0*j**4 + 0*j**4 - 2*j**4 + 0*j**3 + 0*j**3 + (-j**3 - 2*j**3 + j**3)*(-2*j + 0*j + 0*j).\nAnswer: 5*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.01? (a) -2\/233 (b) 24 (c) 0.0435\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-8)*r**(2\/3)*(r\/r**(-1))\/(r*r*r**5) assuming r is positive.\nAnswer: r**(-37\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence is when two letters picked without replacement from hchbbshbhbhifis?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15563 and 19109.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-4)\/v**(2\/9)*(v*v\/v**(2\/7))\/((v*v*v**(2\/11))\/v) assuming v is positive.\nAnswer: v**(-2557\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in seventy-seven halves of a second?\nAnswer: 38500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -67.86852 - 0\nAnswer: -67.86852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.89204 and -0.047.\nAnswer: 0.04192588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrs when three letters picked without replacement from ksksrrkr.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 630460030 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 28305152 to the power of 1\/3, to the nearest integer?\nAnswer: 305","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5072.814 - 0.269.\nAnswer: -5073.083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-425)\/(-17) - (-1 + 2 - 1). Suppose -l*w + 740 = -21*w. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 337581?\nAnswer: 3, 12503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -49.\nAnswer: -5\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*s - 35 = 11*s. Let j = s - -57. List the prime factors of j.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u + 2*v - 7, 5*u = 3*u - 4*v - 6. Suppose -3*a - 9 = -0*r - 2*r, -10 = -5*r - u*a. Suppose 0 = r*z - 855 - 1164. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/18748 and 61\/76712.\nAnswer: 8361608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*l = l - 104. What is the third derivative of -28 - 2*y**5 + 53 + l*y**4 + 171*y**2 - 25 - 7*y**5 wrt y?\nAnswer: -540*y**2 + 192*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 9, s: 3}. Give prob of picking 2 m and 2 s.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -14.08 * 0.2.\nAnswer: -2.816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the second derivative of -q**7\/189 + 13*q**6\/45 + 41*q**5\/90 - 13*q**4\/18 - 40*q**3\/27 + 14*q - 2. Let b(h) = 0. What is h?\nAnswer: -1, 0, 1, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 17 - 22 = 0. Suppose 0 = 3*i - d - 5. Solve w + i = 3 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 7) to base 15.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 84167293 and 36071697.\nAnswer: 252501879","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 111*p**2 - 77*p - 306. What is g(-6)?\nAnswer: 4152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 4*v + 6 = -6, 5*r - 3*v = 9. Suppose -8 = -4*n + 24. Let t(u) = 4 + 5*u**3 - n*u**2 - 4*u**3 + u + 8*u**2. What is t(r)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -932*n**5 + 104*n**3 - 492084*n wrt n?\nAnswer: -18640*n**3 + 624*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -4, 2*r + 5 = -3*y + 2. Suppose 3*j - 4308 - 954 = r. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(11)*-1*-6 + sqrt(11) + sqrt(176) + 0 + -1 - (sqrt(11) - (sqrt(110)*2)\/sqrt(10) - (-4 + -4 + sqrt(11)))) + -2)**2.\nAnswer: -286*sqrt(11) + 1980","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 - -8. Suppose k*t + 0*t = 2*t. Solve -3*o = 5*q + 13 - 2, -2*o - 4 = t for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s - 9. Let r(y) = 3*y + 5. Let k(p) = -p - 3. Let i(h) = 5*k(h) + 2*r(h). Give 7*i(o) - 4*q(o).\nAnswer: 3*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 4*a = -6, 22 - 9 = -5*z + a. Let s be 1\/(z - (-21)\/9). Suppose 0 = s*v + g + 4*g + 11, -4*v + g + 16 = 0. List the prime factors of v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:22 AM and 10:46 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*j + 3*j - 2*j + (-5 - 1 + 5)*(j - 3*j - j) + (-3 + 3 - 4)*(3*j + j - 5*j) to the form z + t*j and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**2 - 8*i + 11. Let w be k(-9). Factor 8*x**w + x**2 - 3*x**3 + 0*x**3 - 3*x - 3*x.\nAnswer: -3*x*(x - 2)*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2498932621 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 360*g + 11878. Determine r(-33).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 2*g**2 - g + 4. Let n(o) = o**2 + 8*o - 4. Let r be n(-8). Let s(u) be the first derivative of -207*u - 75 + 5 + 206*u. Give r*s(f) - h(f).\nAnswer: -2*f**2 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide (-2 + 6\/4)*-32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-450)\/(-20)*(-5)\/(-70)*-7*-4?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.06929 + -0.069. What is x rounded to four dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 3*p = 2*m - 5, -m = 5*p - 30. Sort -9, m, 4 in decreasing order.\nAnswer: m, 4, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -17*l - 43. Let x be w(-19). Suppose -x = -3*c + c. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 30273533 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1d8b (base 16) to base 12.\nAnswer: 4463","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(-2)*(1 - -1)\/(-2). Let r(d) = d**3 - d**2 - 9*d + 1. Let f be r(-5). Let h = f - -54. Which is bigger: h or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 2 o, and 1 p when four letters picked without replacement from {p: 2, o: 5, u: 6}.\nAnswer: 24\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8343 + 9785 = 824*y for y.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -275.11 * 2751.\nAnswer: -756827.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**2 + 19*a. Let v be w(14). Suppose v = 5*j - 130. Is j a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 + -3. Suppose 3*s - k = s. Let p be (-106)\/(-10) - s\/(-10). Calculate the greatest common divisor of p and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -6*u**3 + 132*u**2 + 2*u. Let s(b) = 2*b**3 - b + 1. Calculate i(q) + 2*s(q).\nAnswer: -2*q**3 + 132*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 70 + 68?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 20849 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.062831161*11.\nAnswer: -0.691142771","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 76.568481ms in hours?\nAnswer: 0.0000212690225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 16222 to the power of 1\/3, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(-6)\/d)\/(d\/((d*d*d**8*d)\/d)))**(1\/24))**18 assuming d is positive.\nAnswer: d**(3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100100101001 - -1101111100?\nAnswer: 1110010100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -3*l**2 + 474*l + 46104 = 0.\nAnswer: -68, 226","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 19607886 divided by 676134\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-40)\/24)\/(145\/(-464))\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the third derivative of -88*d**7\/21 + 5*d**4\/4 - 9*d**3 + 339*d**2 - 3. Find the second derivative of a(i) wrt i.\nAnswer: -10560*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48544 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61123039 is divided by 527.\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.38 - -19.38. Let g = -18.5 + n. Let r = -0.1 + -0.9. Which is the nearest to r? (a) 5 (b) -2 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u - r + 105, -4*u + 55 = -3*u - 2*r. Is 9 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6339597 to the nearest integer?\nAnswer: 2518","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 + 7.7. Let j be (32 - 11)\/(-1 + 2). Let p be (-34)\/21 - (-6)\/j. Which is the smallest value? (a) p (b) -2\/7 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/(t**(-1\/3)\/t)*t**(3\/14)*t\/t**10*t**(2\/13) assuming t is positive.\nAnswer: t**(-3439\/546)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1*(-7)\/2 + 2. Suppose 3 + 1 = 2*q. Let p be ((-3)\/q)\/(9\/12). Is c greater than or equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 104 divided by -131\nAnswer: -104\/131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 2, -1, -349 in descending order.\nAnswer: 2, -1, -2, -349","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4199*t**2 - 4714*t**2 - 3277*t**2 - 2207*t**2.\nAnswer: -14397*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 102987 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4 - -3 - -2)*3. Let q(m) = -m**2 - 4*m + 7. Let w(s) = 2*s**2 + 7*s - 13. Let p(b) = 5*q(b) + 3*w(b). Calculate p(x).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -366 - -368. Solve 4*h - 27 = 5*w + b*h, 3*w + 5*h = -10 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -8709 (b) 0.13 (c) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -46, 2\/21, 3\/2, 1\/79, -8, -0.5, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-8)\/(-4) - 3 - -34. Let b = -37 + h. What is the least common multiple of (-2 + -1)\/(6\/b) and 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.05153 times -12\nAnswer: 0.61836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-4*sqrt(162))\/(sqrt(6)*-2*6).\nAnswer: -6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 0 = -8. Which is the third smallest value? (a) -2\/7 (b) q (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 40.6961725 to three decimal places.\nAnswer: 40.696","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1416\/967 smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 4) to base 8\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -404366*x - 343 - 133 = -404400*x for x.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -46*l + 138. Let z be p(3). Suppose -2*a - 4*t + 860 = a, z = -a - 4*t + 292. What is the remainder when a is divided by 36?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 513423?\nAnswer: 3, 57047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**3 - n**2 + 2*n. Let b(d) = 450*d**3 - 20*d**2 + 40*d. What is b(h) - 20*k(h)?\nAnswer: 470*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*p + 0 + 0)*(5 + 2 - 4)*(-3 + 0 + 5).\nAnswer: 24*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 90 and 2953590.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -81317\/7 + 11638. Let m = -21 + q. Let s(f) = -f**2 + 5*f - 2. Let d be s(5). Is m less than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -2*j. Suppose 10*b + 588 = 17*b. Let p(f) = -413 + 413 + 18*f + b*f. What is p(n(i))?\nAnswer: -204*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2743 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -102 - -106. Let v be (48\/(-18) + 0)*c\/(-16). Put -4, -19\/2, v in increasing order.\nAnswer: -19\/2, -4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 324, 1525, 3532, 6351, 9988, 14449, 19740, 25867?\nAnswer: 32836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -92 + 92. What are the prime factors of ((-96)\/10 - w)*(-135)\/2?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 802846 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (5 + 63\/(-15))\/(4\/2510). Let i = -308 + p. Is 52 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (11 + 5)) + 9.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -5*q + 2*q + 31, -5*k - 20 = 0. Suppose 0 = -6*y + q*y + 1. Let i(r) = -2*r - 3 + 3 - 3*r + 1. Give i(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1215 and 69399315?\nAnswer: 624593835","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.1088 - 0.3088. Let l be 2321\/(-721) + (-4)\/14. Let k = 1\/206 + l. Put k, -1\/3, 1\/2, d in ascending order.\nAnswer: k, -1\/3, d, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 288 + -286. Suppose -3*s - 4*v + 11 = -262, 186 = f*s + 4*v. Calculate the remainder when 955 is divided by s.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 + -225156?\nAnswer: -225162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the second derivative of u**4\/12 - 509*u**3\/6 + 2817*u**2 + 25*u - 49. Differentiate n(x) with respect to x.\nAnswer: 2*x - 509","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 6\/7, -0.1, 1\/8?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 216 or 215?\nAnswer: 215","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -3244134410 (base 5) in base 10?\nAnswer: -7021230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l - 2*l + 28. Let i(f) = -l - 55*f + 50*f - 4. Let v be i(-7). What is the highest common factor of v and 96?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 38, 29, 26, 29, 38?\n\"Answer: 3*p**2 - 18*p + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 98422 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -6*z**3 - 5*z**2 + 4*z - 16. Let x be b(4). What is the tens digit of (x\/32)\/((-1)\/36)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (324\/(-144))\/(6\/16).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 - 3*x**2 - 4*x + 4. Let i be g(4). Suppose -o = -v + 2 - 0, 6 = 5*v - 3*o. Sort v, i, 3.\nAnswer: v, 3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, d: 3, i: 3}. What is prob of sequence dg?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 565272929 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(2\/15)*g\/(g\/g**(1\/8)))**(-2\/3))**(-21))**43 assuming g is positive.\nAnswer: g**(9331\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.6 and 17.\nAnswer: 27.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of 4*r**3\/3 + 66*r**2 - 136*r + 296. Factor g(u).\nAnswer: 4*(u - 1)*(u + 34)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1108 or 1109?\nAnswer: 1109","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37517260*m + 37517260*m + 2 + 42*m**2.\nAnswer: 42*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 - 2*u**2 + 2 + (0 - 2 + 1)*(17886*u - 17886*u - 203*u**2) - 2 + 2*u**2 + 2.\nAnswer: 203*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:30 PM and 7:41 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -44.154446 + 44.15. What is m rounded to three decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -1213\/8 (b) -2\/17 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 4.8 and -1533777071950.\nAnswer: -1533777071945.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -3*b**4 - 13*b**3 + 15*b**2 + 13*b - 8. Let k(g) = 3*g**4 + 12*g**3 - 15*g**2 - 12*g + 9. Let f(w) = -4*k(w) - 3*r(w). Factor f(n).\nAnswer: -3*(n - 1)**2*(n + 1)*(n + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (48\/15)\/(-2)*(-5)\/(-10)\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*-20*(-14)\/(-280)*-5*(-760)\/(-100)?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 1 + 1)*(5*z - z - 3*z + z + 2*z - 2*z + (-3 + 3 + z)*(1 - 5 + 2) - 3 + 3 + 3*z)*(-3*z - 5*z + 3*z + (3 - 6 + 1)*(z - 2*z - z)).\nAnswer: -18*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 6, 2\/9.\nAnswer: 2\/9, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1008)\/(-63) - (13 + 3). Solve -4*j = -0*x + 3*x - 14, i = x + 5*j - 12 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -6 + 1 + -2 + -2\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 - -7bab4?\nAnswer: 7bab7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 86\/24453 and 151\/17784.\nAnswer: 195624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -15, -2\/15, 0.1, -0.98, 5?\nAnswer: -0.98","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, i: 3, m: 3, v: 1, s: 2}. Give prob of picking 3 i.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -m - 69 - 393. What is the least common multiple of 77 and m?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p**3 + 20064*p**2 + 462993*p + 442926 = 0.\nAnswer: -22, -1, 6711","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -315 + 321. Let j(s) = 2*s**3 - 8*s**2 + s. Let z be j(6). What is the greatest common divisor of z and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -44922.142 to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) 21 (c) 3 (d) -7 (e) -4 (f) -3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from {q: 7, o: 11, e: 2}.\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 + -1 + (-72)\/30. What is the closest to 0 in 4, 0, x?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 28\/185 and -9\/69634?\nAnswer: 348170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 2*s**3 + 64*s**2 + 21*s - 61. Is t(-31) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 4, 11.1, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1829 is divided by 113.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 129*a + 128*a + 21*a**2 + 21 - 257*a as d + z*a**2 + q*a and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 4, 2\/13, 14\/5, -59.1, -2?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -29*h - 229 + 287. Let c be (2 + -1)*1*15. Solve -h*y - y = c for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 12*v = 2*v. Let r(f) be the third derivative of 3\/80*f**6 - 1\/35*f**7 + v + 5\/672*f**8 + 0*f - 1\/60*f**5 + 2*f**2 + 0*f**3 + 0*f**4. Factor r(c).\nAnswer: c**2*(c - 1)**2*(5*c - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -5*z. Suppose -5*c + 3 = -2*g - 2, -35 = -5*c - 4*g. Let y(q) = -14*q - 1. Give c*y(h) - 8*b(h).\nAnswer: -2*h - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**3 - 5*y + y - 3*y**2 + 0*y + 1. Let p be i(4). Suppose -9 = -d + p. Solve b = -3*q - 2*b + 12, -5*q + 5*b = d for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(-2\/9))**(-47)\/(z**(-1))**(2\/15))**11 assuming z is positive.\nAnswer: z**(-18029\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 1. Let y(k) = 9*k - 4. Let q(v) = 11*v - 5. Let m(u) = -5*q(u) + 6*y(u). Calculate m(j) + 2*o(j).\nAnswer: -j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the second derivative of -n**4\/24 + 11*n**3\/3 - 7*n**2 - 17*n. Let q(p) be the first derivative of s(p). What is the units digit of q(-18)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 750.4 + -841. Let p = r - -93. Sort p, -4, -0.2 in decreasing order.\nAnswer: p, -0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(240)*-3 - sqrt(45)\/sqrt(75))\/((sqrt(30)*2*6 - sqrt(30))\/(sqrt(640) - (1*sqrt(640) + sqrt(640)) - sqrt(640))).\nAnswer: 976*sqrt(5)\/55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-101)\/(-606)*((-27)\/36)\/((-15)\/(-6))?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - -2 - (-12)\/8 - (285\/(-10) - 19).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:14 AM and 5:59 AM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**2 + 16*t - 110. Let q be g(-21). Let l be -1 + (-143)\/q - 4\/(-10). What is the greatest common divisor of l and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p - 4*z + 66 = 10, 12*z - 30 - 21 = p for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6142 and 296?\nAnswer: 24568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 - -14. Suppose -y*z = 33346 - 201441. Suppose 2*h + 3*u - z = 226393, -5*u = -3*h + 389980. Round h to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**3 - 4*n**2 + n + 5. Let t be u(-4). Let h = 8 - 5. Suppose h - 6 = -3*k. Calculate the highest common factor of k and t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 77 + -50. Let u(y) = 2*y**2 - 3 - 37 - w*y + 65. Is 17 a factor of u(15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 2*k + 7. Let f be d(-7). Let h be f*(5 - 18\/3). What is the nearest to 2 in 5, h, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 11 = -2*v, -2*w = -0 - 2. Let k be ((-12)\/10)\/(-1*v\/(-30)). What are the prime factors of ((-30)\/k)\/(4 - 1030\/255)?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10.77 > -8\/31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (44 - 18 - 60) + (8 + 1 - 1).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -62224370, -124448737, -186673104, -248897471, -311121838?\nAnswer: -373346205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -18*z**3 - 5*z**2 + 3*z + 16. Is 12 a factor of j(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2718a (base 14) to base 8.\nAnswer: -274146","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add -1 and -0.0451219018.\nAnswer: -1.0451219018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 46 - 46. Sort -5, 2\/13, q, -0.4 in ascending order.\nAnswer: -5, -0.4, q, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 15*a**2 - 20*a - 20. Suppose -20*j + 17*j - 1515 = 0. Let z = 485 + j. Let s(y) = -2*y**2 + 3*y + 3. Calculate z*s(u) - 3*i(u).\nAnswer: -5*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y + a = -13 + 20, -5*a - 27 = 4*y. Sort y, 1, 3, 292 in descending order.\nAnswer: 292, 3, y, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -983, -981, -981, -983?\n\"Answer: -k**2 + 5*k - 987","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 divided by 26589?\nAnswer: 7\/26589","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -40 + 121\/3. Let i = -227.7 + -34.3. Let x = 262 + i. Which is the third biggest value? (a) x (b) n (c) 0.4 (d) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(2\/19)*t)\/t)\/((t\/(t**(1\/5)\/t))\/t) assuming t is positive.\nAnswer: t**(-66\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 238\/(-49) + 6\/7\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6590179 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 6519 divided by 5?\nAnswer: 6519\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (32\/36)\/(480\/7776)*1\/(4\/20)?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -6*s + 4. Let g(z) = 2*z - 1. Determine 17*g(d) + 6*y(d).\nAnswer: -2*d + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**2 - 46*q - 126. Give z(-43).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**2 + 2. Let a(l) = -l**3 - l**2 - 3*l - 1. Let q be a(-2). Let f be 9*3\/q - -1. Let o(c) = 2*c - 2*c + f*c**2 - 2*c**2. Calculate k(o(t)).\nAnswer: 4*t**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -6*(8 + (-1490)\/180)\/((-1)\/(-3)). Let v be -2 + 2\/(4\/14). Solve v*k = -s - 9, a*k + 3*s - 6*s = -13 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1425 (b) 3 (c) 0.1 (d) 2\/33 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 913, 1039, 1165, 1291?\nAnswer: 1417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-38)\/(-4) + -7)\/(-1). Which is the closest to -1\/3? (a) 0.02 (b) r (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0*1\/(2\/2). Let l(d) = d**2 + d - 4. Let z be l(w). Let m(x) = -x**2 - 8*x + 5. Let k be m(-8). Sort z, k, -5.\nAnswer: -5, z, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) - 1*sqrt(77))*5)\/sqrt(1584).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 131101 + 11?\nAnswer: 131112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1965531\/2 + -21567973\/22. Let d = 2405 - x. What is the common denominator of d and -51\/10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27677.82 months to millennia.\nAnswer: 2.306485","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -44 + 6*y - 42 - 39 + 163 - 41 - 10*y. Suppose 6 = -2*v + 2. Calculate c(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -44 + -11224?\nAnswer: -11323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * 64\nAnswer: 25.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -22? (a) 6\/7 (b) -6\/13 (c) -0.01 (d) 3 (e) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 53*a**3*z**2 - 2*a**2*z**2 - 197*z**2 + 2 wrt a.\nAnswer: 318*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 99 divide 1172357?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Do -1.6 and 1\/7 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -5 - (3 - (5 + (-8 - -9))).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 112\/(-320)*208\/(-3094)\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 7*y**2 + 1. Let f be r(-1). Let i(u) = -2*u - 6. Let k be i(-4). Suppose 0 = 6*a - k*a - 16. What is the greatest common divisor of f and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/7 and 101\/379422.\nAnswer: 2655954","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 + 11. Let h(t) = -3 + 0*t + s + 2*t + 2*t. What is the units digit of h(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-5 - (40 - -5))\/((-8)\/4212)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -23*p**3 - 3*p. Let m(k) = 1329*k**3 + 161*k + 1105*k**3 - 1192*k**3. What is 161*b(u) + 3*m(u)?\nAnswer: 23*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + 108 = -42. Solve h*o = 28*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from earrexaeeorxrreerr. Give prob of sequence raa.\nAnswer: 7\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**2 + 2*m + 4. Suppose -2*r = 7 - 13. Let c(g) = -g**2 - g - 3. Give r*b(p) + 4*c(p).\nAnswer: -p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-9)*(-273)\/182*2\/44.\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1165, -3\/2, 73, -0.2, -8?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2815*n - 4790*n = 102700 for n.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 + -2a30?\nAnswer: -2a2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 805, 1617, 2429?\nAnswer: 3241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 179 - 175. Suppose h*l + 4*w - 47 = -l, 0 = -4*l + 4*w + 16. Solve 5*s + 2 = l for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -15*n + 20*n. Suppose -2*y = 5*r - 91, -3*y = r - 21 - n. Solve -3*p + 13 = -4*k + 3*k, -5*p + r = 3*k for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 2*t**2 + 8*t - 6. What is y(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -672 - 1968 = -16*b. Suppose -49*f + 44*f = -b. What is the greatest common factor of f and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 8*p**2 - p - 8. Let s be g(-2). Suppose y = -j + 45, 3*j - 5*j - 140 = -3*y. Let h = y - s. Is h a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1154\/9 + 128. Let r = 59 + -124. Let p = r + 323\/5. Which is the nearest to 1? (a) f (b) -0.5 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -176892049 divided by -617?\nAnswer: 286697","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/3 (b) 2\/7 (c) 2\/5 (d) 94\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the third derivative of 2*b**2 + 0*b**6 - 1\/70*b**7 + 0 + 0*b**5 + 0*b + 1\/8*b**4 + 0*b**3. Find the second derivative of g(m) wrt m.\nAnswer: -36*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*l + 0*l - 3*l)*(-l**3 + 4*l**3 - 2*l**3) + (30 - 31 + 37)*(-2*l + 2*l + l**4) as n*l + z*l**4 + s + k*l**2 + j*l**3 and give z.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-6)\/(-12))\/((-1)\/(-6)). Suppose -12 = -m - y*m + 4*u, 2*m = -5*u - 1. Solve -n + m*n = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*g**4 - 4 - 10*g**4 + 2*g**4 - 1 wrt g?\nAnswer: -40*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 - -8\/3. Let m = j - 25\/39. Let g = -101\/624 - m. Find the common denominator of g and -3\/14.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the first derivative of 6*s**4 + 38*s**3 - 24 - 16 - 36*s**3 + 6. What is the third derivative of c(u) wrt u?\nAnswer: 144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -173 + 270. What is the remainder when x is divided by 0 + 36 + -1 + -6*(-13 + 14)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7183*m**6 + 19*m**5 + 3*m**2 + m - 249 wrt m?\nAnswer: -861960*m**3 + 1140*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12\/757 + 3833\/3028. Let c(b) be the first derivative of 0*b**2 - q*b**4 + 0*b - 5*b**3 + 15. Solve c(m) = 0 for m.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 10153 = 4*l + 6777. What is the remainder when l is divided by 214?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/5433189 and -85\/18?\nAnswer: 32599134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 48*(16\/(-18))\/((-5)\/(105\/56))\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 24858 divided by -4911\nAnswer: -8286\/1637","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -13 - ((23 - (-24 - -20)) + -148)\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*(9*6\/90)\/(-3).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22, -30, -36, -34, -18, 18, 80?\nAnswer: 174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-130)\/468)\/((4*(-45)\/108)\/1).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*u - 87 = -9*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the first derivative of v**2\/2 - 6*v - 5. Let t(c) = c + 40. Let z be t(0). Suppose 5*h = 2*h - 3*q, 3*q = 5*h - z. Determine l(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17338075 (base 9) in base 15?\nAnswer: -b6e75b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -342, -341, -340, -339, -338, -337?\n\"Answer: n - 343","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -7 (b) 201 (c) -3.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1616815?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 15*i**3*z**2 + 36*i**3*z + 2*i**3 + 2*i**2*z**2 + 30*i**2*z - i*z**2 + 1633*i wrt i?\nAnswer: 90*z**2 + 216*z + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4 + (-91)\/26)*(-4)\/5. Solve 4 = l*w - 10*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 + 0 + 7 + 141*i**2 - 3 + 49*i**2 to the form t*i**2 + l + u*i and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1700, 8275, 19248, 34619, 54388, 78555?\nAnswer: 107120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of 7\/2*m**4 + 0*m**2 - 16\/3*m**3 + 0 + 28*m. Find the second derivative of i(d) wrt d.\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*p**2\/5 + 8\/5 = 0. What is p?\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 25733, 51555, 77399, 103271, 129177?\n\"Answer: h**3 + 5*h**2 + 25800*h - 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1581?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002774 to 5 decimal places.\nAnswer: 0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes after 12:38 PM?\nAnswer: 5:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -40.9 - -41. Which is greater: -51\/2 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1569126485 to the power of 1\/2, to the nearest integer?\nAnswer: 39612","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**2 + 2*l + 5. Let k be p(0). Let i = 0.1543 + -0.4543. Which is the fourth biggest value? (a) i (b) 1\/28 (c) 2 (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/13 (b) 1\/2 (c) 13 (d) -4\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -54811, -109669, -164527, -219385, -274243?\nAnswer: -329101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56\/14 + -8 + (723 - 3) is divided by 107?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2\/13)\/((r\/r**(3\/4))\/r))**28 assuming r is positive.\nAnswer: r**(217\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 3*a**2 + 931. Let d(t) = -2*t**2 + 1. What is m(d(q))?\nAnswer: 12*q**4 - 12*q**2 + 934","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -13 > -87\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-32)\/120*(-25)\/(-10).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-16)*-4)\/(((-657)\/90)\/73)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 228 a factor of 815130997?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**3 + 22*w**2 - 26*w - 28. Let p be i(15). Suppose -19*n + 24*n - 2*x = 61, -n + 15 = x. What is the greatest common factor of p and n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*18*(30 - (-546)\/(-18))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -242\/1339 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/(-4))\/((-3)\/6). Suppose 2*b - 5 = -y. Solve b*h + 3*q = -6, -3*h - 9 = -0*h + 3*q for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -2 + 2 + 3*s. Let g(k) = k**2 + 4*k. Let o(x) = 3*x. Let z(v) = -3*g(v) + 4*o(v). Determine u(z(d)).\nAnswer: -9*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -2*a**2 + 261536*a - 1307630 = 0.\nAnswer: 5, 130763","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the first derivative of s**3\/3 - 4*s**2 + 7*s - 27. Factor j(u).\nAnswer: (u - 7)*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -64 - -61. What is the tens digit of (j*7\/42)\/((-2)\/236)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 337361335 to the nearest one million.\nAnswer: 337000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 29218091 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 44 + -45. What is the third biggest value in -2\/3, -5, i?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 132289 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4667198778\/19 + -155375714512220\/632529. Let p = y - 4\/2603. Is p > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2 (b) -1\/17 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1998231, 3996471, 5994711, 7992951, 9991191, 11989431?\n\"Answer: 1998240*t - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**2 - 2779900*p - 11119536.\nAnswer: -4*(p + 4)*(p + 694971)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (10\/(-4))\/(2\/(-4)). Let i = b + -3. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 7*q**2 - 87*q + 316. Give c(6).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s - 2*z + 94, 4*s + 101*z = 102*z + 85. Suppose s*c - 20*c = k - 35, -k + 11 = 4*c. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5749752 or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 85 and 4603889.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**3 + 14*f**2 - 477*f - 45. Let z be i(16). Solve z*k + 5 - 15 = 2*c, 5*c - 25 = -5*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:31 AM and 1:30 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(637) + 2)**2 - sqrt(13)) + -4.\nAnswer: 27*sqrt(13) + 637","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 379428 times 805\nAnswer: 305439540","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (12\/(-3) - 0) + 30. Suppose -2*x + 2*f = -0*f - 12, 4*x - 5*f - c = 0. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1078) - (sqrt(1078) - sqrt(1078)*2 - sqrt(1078)) - sqrt(1078))\/(2*sqrt(1331)) - (2 + 3*sqrt(18) + 2 + sqrt(2) + -1).\nAnswer: -103*sqrt(2)\/11 - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -3*y**3 - 14*y**2 - 6*y + 12. What is the remainder when z(-5) is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 8*c**2 - 1. Let o be g(1). Let n = 123 - 79. Suppose -o*x + 61 + n = 0. Calculate the least common multiple of 27 and x.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23428287?\nAnswer: 3, 2603143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - 8 - 2. Let s be (2*1)\/(-3 + t). Suppose 0 = 5*q - 4*i + 27, -q = -i - 2*i + 12. Is s at most as big as q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*f = 3*f + 1690. Let r be 10\/(-4)*13\/(f\/24). Solve -2*k + r = 3*j, 5*k + 8 = 5*j - j for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48466 + 16143 - 35*s + 16158 + 16166.\nAnswer: -35*s + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/q**2)\/q*q)\/q**(1\/3)*q\/(q\/(q**(1\/4)\/q))*q**(-7))\/(q*q**(3\/5)*q**(-1\/9)*q*q\/q**(-2\/5)*q**(-4)) assuming q is positive.\nAnswer: q**(-323\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -3842*t - 14. Let a(x) = -7684*x - 36. Calculate 2*a(m) - 5*d(m).\nAnswer: 3842*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) 2\/5 (c) -64 (d) 12\/5 (e) 0 (f) -2\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -5*z - q + 34, -z + 3*q = 10. Suppose z*k - 45 = -2*i, 0 = -k - i - 2*i - 4. Differentiate -12 + k*p**2 + 3 + 2*p**2 - 6*p**2 wrt p.\nAnswer: 14*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 435, 6\/7, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1892 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -220103232320 (base 4) to base 11.\nAnswer: -5a67916","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l - 3*l + 60. Solve -5*t + l = -5 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 16*a**2 - 3*a. Let t(f) = 4*f. Determine t(c(j)).\nAnswer: 64*j**2 - 12*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1170378)\/(-48763))\/(-3) + 8. Are 1 and v equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 2 v when three letters picked without replacement from {b: 1, v: 3, j: 1}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1024981?\nAnswer: 17, 60293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 680, 693, 720, 767, 840, 945, 1088?\nAnswer: 1275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -90246 by 6942.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -6*m + 8*m - 3430, -m + 4280 = 5*q. Let f = q - 577. Let c = f - 169. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the second derivative of 0 + 1\/6*a**4 + 0*a**3 - 84*a - 44\/5*a**5 + 181\/2*a**2. What is the third derivative of k(p) wrt p?\nAnswer: -1056","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, -212836, -3, -4, 2, -5 in increasing order.\nAnswer: -212836, -5, -4, -3, -2\/11, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(2\/7))**(3\/2)\/(d**(1\/2)*d**(-2\/3)))\/((d*d**(1\/4)\/d)\/(d\/(d\/d**(-9)))*(d\/d**(-1))**(-25)) assuming d is positive.\nAnswer: d**(3473\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in 4\/89, 3\/4, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the third derivative of 107*g**5\/15 - g**4\/12 - g**3\/2 - 6*g**2. Is q(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3\/(-10))\/((-684)\/570). Factor 0 + f*c - 1\/8*c**2.\nAnswer: -c*(c - 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 1138*n**2. Let c(l) = -4*l. What is c(z(i))?\nAnswer: -4552*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -194\/393 or 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/2)\/2*12\/12?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/4*d**2 - 100 + 10*d.\nAnswer: -(d - 20)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**2 - n. Let k(h) = -h**3 - 6*h**2 + 7*h + 1. Let z be k(-7). Let y(u) = -2*u**2 + u. Let o(f) = z*l(f) + y(f). Let c(x) = x. Determine o(c(p)).\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2280764.8 rounded to the nearest one hundred thousand?\nAnswer: -2300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m - 43. Let q = -1566 - -1581. Calculate h(q).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the first derivative of 1 + 9 - 1 + 5*h**2. Let r(n) = 3 + 3*n + 2 - 5. What is t(r(y))?\nAnswer: 30*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 + -38. Let r = -33 - i. Suppose 6*l = r*l + 153. Calculate the remainder when l is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*v**2 + v**2 - v**2 + (873*v - 418*v + 2047*v)*(0 + 0 - 2*v).\nAnswer: -5002*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.23*-28.8.\nAnswer: -6.624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.972 + 2.98. Let o = w - -0.292. What is the second biggest value in -1\/5, 1, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 3*x**3 - 17*x**2 - 29*x + 4. Let n(r) = 381*r + 8008. Let w be n(-21). Calculate k(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.1 - -1973.\nAnswer: 1971.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 895487 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*s - 216 = 7*s. Is s a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24235 is divided by 4439?\nAnswer: 2040","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 2*j**2 + 389*j + 9949. What is k(-164)?\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**19)\/q*q**(-6\/5)\/q)\/(q\/(q**18\/q))**(4\/9) assuming q is positive.\nAnswer: q**(1076\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/8*(-17)\/((-49419)\/136). Which is the closest to -5? (a) 4 (b) 0.5 (c) 3\/4 (d) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -4, 8, -1 in ascending order.\nAnswer: -4, -1, 6, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2822613158 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = q - 67670, 6*q + 4*r = -113691 + 519503. List the prime factors of q.\nAnswer: 2, 5, 6763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the third derivative of m**4\/12 - 3*m**3 - 18*m**2. What is the first derivative of p(s) wrt s?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 34824.67 micrograms?\nAnswer: 0.00003482467","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (1404\/24*4\/(-24))\/(20\/((-8800)\/33))\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.02*9761\nAnswer: -195.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hw when two letters picked without replacement from hhhwwhhhhwhh.\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 1 = -1. Let o = 3 + y. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(104) - (sqrt(104) - 1*sqrt(104))))\/((-2*sqrt(96))\/sqrt(12)).\nAnswer: -sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1588*n*r**2 + 12*n*r - 15*n - 4*r**3 - 2*r - 3 wrt r?\nAnswer: -3176*n - 24*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**4\/2 - 9*j**3 + 113*j**2\/2 - 138*j + 90.\nAnswer: (j - 6)**2*(j - 5)*(j - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 4*r - 28 = 6, 4*r = 2*z - 28. Let j(w) = 4*w - 6. Is 18 a factor of j(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m*m**(-2\/7)*m)**(-41)\/((m*m**(1\/8))\/m*m**(2\/5)))\/(m**(3\/4)*m*(m*m**(3\/2))\/m)**(-24) assuming m is positive.\nAnswer: m**(-9467\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2178633 is divided by 725?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 38 + 0 - (-2)\/(-7)*49\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2110 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/(-6)*((-33)\/5)\/((2310\/(-275))\/(-21))?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6566880?\nAnswer: 2, 3, 5, 13681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (6*sqrt(1100)*3 + sqrt(1100) + -2 + (sqrt(1100) - -1*sqrt(1100)))**2.\nAnswer: -840*sqrt(11) + 485102","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18, -71, -156, -267, -398, -543, -696?\nAnswer: -851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**2 - 1. Let h(a) = -a - 7. Let p be h(-9). Let n(c) = -3*c**6 + 2*c**2 - 7. Let g(i) = p*n(i) - 14*w(i). Find the third derivative of g(x) wrt x.\nAnswer: -720*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/12*7)\/(8\/16).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -5\/3 (b) -2\/7 (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -152*v - 50 = -142*v. Let c(t) = 5*t + 28. Give c(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 474 and 110995?\nAnswer: 665970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y - 4980 - 3582 = 0. What is the hundreds digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 39*i**2*s**3*y - 15*i**2*y + 4*i**2 + 2*i*s**3 with respect to s.\nAnswer: 117*i**2*s**2*y + 6*i*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*p + 9*p + 8*p + 7*p.\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -3*c**2 - 2388*c - 128. Let u(t) = -t**2 - 1193*t - 51. Determine 2*o(k) - 5*u(k).\nAnswer: -k**2 + 1189*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -4*w, -5*w - 32 = 15*b - 12*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 336889 and 2527?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11111111 + -1?\nAnswer: -100000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.1 - 4.1. Let u = -2.18 + 0.48. Let a = -2.1 - u. Put a, -0.03, d in decreasing order.\nAnswer: -0.03, a, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12473\/1005462 - -10\/6057. What is the common denominator of -55\/9 and f?\nAnswer: 1494","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -101*a + 1. Let q be f(-1). Suppose y + y = q. Is y 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 {n: 4, q: 14}. Give prob of sequence nnqq.\nAnswer: 91\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 100, -292, -1 in descending order.\nAnswer: 100, -1, -292","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -70 + 72. Calculate the highest common divisor of x and 26.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 2 t when three letters picked without replacement from cctllclccctcl?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xq when two letters picked without replacement from {q: 2, x: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 67860 and 1440.\nAnswer: 542880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 47.95 less than 2\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 a when three letters picked without replacement from gmrmparcmacr?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5852 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 56 - 84. Let n be (-6 - (y - -2))*(86 - -1). Let b = n - 853. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -176 - -188. Calculate the greatest common divisor of 52 and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the second derivative of -227*o**4\/12 - 137*o. Let g(f) = -f. What is p(g(q))?\nAnswer: -227*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 6*l + 1. Let d be o(1). Let y(k) = 6 - 5 + k - k**3 - d + 12*k**2. Let t be y(12). What is the highest common factor of 48 and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1620309.\nAnswer: 3, 271, 1993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 90 and 390?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 270 - 863 - 22*g**3 + 263 + 329 - 7*g**3 - g**3.\nAnswer: -30*g**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + f + 27 = -3*f, -3*r + 5*f = -30. Suppose -11 + 1 = r*d. Let i be 6\/(-9) + (-2)\/6. Which is greater: d or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**2 + 4*f + 4. Let r be m(5). Let i = 7 - r. What is the lowest common multiple of i and 7?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.24 + -0.06. What is s rounded to one dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4*w**2 - w**2 + 0*w**2)*(0 - 2 + 3) - 4*w**2 + 2*w**2 + 0*w**2 + (-1 + 7 - 3)*(-25*w**2 + 40*w**2 - 23*w**2) + 3 - 3 + w**2)*(0*w + 0*w - w).\nAnswer: 22*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*115\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k*k\/k**(-2\/21)*k*k\/(k**(-1)*k))**(2\/9) assuming k is positive.\nAnswer: k**(214\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 29*u**2 + 432*u - 133. Give j(-15).\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - 1.5. Let y = 11526 + -11526.49989. Let g = y - z. Round g to 5 decimal places.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16335730?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 162 = 141*j + 337 + 530 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 38875 + -123031. What is t rounded to the nearest 1000?\nAnswer: -84000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*x = -4*x - 8 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 + -2. Suppose -4*g - c*g + 406 = 0. What is the tens digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/101 (b) -2\/9 (c) -10 (d) -2738\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 551*z**4 - 43821*z**3 + 40088240*z**2 wrt z.\nAnswer: 13224*z - 262926","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 758?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 19547?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2621 and -0.12?\nAnswer: 314.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 253, 1039, 2351, 4189, 6553, 9443, 12859?\n\"Answer: 263*s**2 - 3*s - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4062.702 rounded to the nearest ten?\nAnswer: -4060","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 22036823 or 22036822?\nAnswer: 22036822","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**3 + 28*c**2 - 129*c - 32. Let i be x(-32). Suppose i = -u - 2*d + 11431, -5*u - 79*d + 57177 = -80*d. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 3*m - 12, 2*m - i + 1 - 4 = 0. Suppose m = 6*j - 5 - 25. Let v = -2 + 4. Which is the nearest to -1? (a) 0 (b) v (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:45 AM and 9:00 PM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, w: 1, h: 1, x: 1}. What is prob of sequence rh?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -59 - -60. What is the closest to 0.1 in k, 0.2, 2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 13, -0.43, 0.3?\nAnswer: -0.43","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 6) + (25 - 29) - 5?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 97172\/79 + -1230. Which is bigger: i or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 + 14. Suppose w*h = -0*h. Suppose h*b = -5*b + 35. Solve -4*d - j = -14, 2*d = 5*d - j - b for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5196613*k**3 + 3073750.\nAnswer: -15589839*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2\/5 - 17828*w\/5 + 92952352\/5.\nAnswer: -2*(w - 3688)*(w + 12602)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ezz when three letters picked without replacement from ezzzzzzeizezzzeizzze?\nAnswer: 13\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 50 - 50. Suppose -9*o + 12*o - 252 = y. Let q = -74 + o. Solve 4*g + q = -2 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*q + 41 + 160 - 3*q - 14*q.\nAnswer: -4*q + 201","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 57\/428828 and 17\/65181856.\nAnswer: 65181856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 408 and 152.\nAnswer: 7752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1766 + 1771. Let x(w) = -5*w**3 - 3*w**2 + 7*w + 1. Let v(q) = 4*q**3 + 3*q**2 - 6*q - 1. What is b*x(t) + 6*v(t)?\nAnswer: -t**3 + 3*t**2 - t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1733495 and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 3*m = -m + 20, -m = -5*z - 5. Suppose 0*l + 3*l - 15 = z. Suppose -3*j - 4*c + 74 = 0, l*j - 4*c = 84 + 18. List the prime factors of j.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.1 (b) 2\/237 (c) 0.07 (d) 6 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 3 + 17 = -5*q, -q + 4*b = -1. Let v(z) = -1. Let p(n) = 13*n - 7. Let k(t) = -p(t) + 3*v(t). Calculate the remainder when k(q) is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 0, -16, -48, -102, -184, -300?\n\"Answer: -k**3 - 2*k**2 - 3*k + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s**(-4)*s*s))**(10\/21)*s**(3\/4)*s*s**(1\/6))**(9\/5) assuming s is positive.\nAnswer: s**(843\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -7, -1\/5, -0.4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**3 - j**2 + 2*j - 2. Let m(c) = 2*c**2 - 3*c + 3. Let f be -3 + (-1 - 0)*-1. Let t(n) = f*m(n) - 3*w(n). Find the third derivative of t(y) wrt y.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 5, -3 in decreasing order.\nAnswer: 5, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 283121719 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 536945?\nAnswer: 5, 17, 6317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v - v - 3*v)*(-610 + 260 + 238 + 6050).\nAnswer: -35628*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 - -3. Suppose -4*p - g = -10. Let u(b) = p*b**2 - 5*b**2 - 3*b + 4*b**2 + 3 - 2*b**2. Calculate u(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12924 * 2.3\nAnswer: 29725.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/2*3*-6. Let g = 30 - j. Let i = -1 - -2. Calculate the lowest common multiple of i and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 38625 and 309.\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2.31 times 1.30389\nAnswer: -3.0119859","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 388.263 to the nearest integer.\nAnswer: 388","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -8 + q**2 + 8 - 4*q**2. Let c(t) = -4*t**2. Let l(n) = -3*n**2. Let m = -3 + -1. Let r(z) = m*c(z) + 5*l(z). Give j(r(s)).\nAnswer: -3*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**2 + 11*d + 73. Let c(k) = 6*k**2 + 54*k + 364. Let q(w) = -2*c(w) + 11*z(w). Let n be q(17). Sort n, -10, 4.\nAnswer: -10, 4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 to the power of 1\/2, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 62855 + -0.07638.\nAnswer: 62854.92362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 125 - 255 = 0. Is c a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 33 + -27. Suppose 0 = -4*k - 2*i - 2, -4*k + s*k + 3 = i. Let a be k + (-1)\/(5\/(-15)). Solve 0*f - 2*w = 3*f - 11, a*f - 20 = 5*w for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*o - 4 = -0*o - 159*o - 1792 for o.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69215 is divided by 230.\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 16*a**2*h**2 - 29*a**2*h + 5*a**2 + 29001*h**2 wrt a.\nAnswer: 32*a*h**2 - 58*a*h + 10*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**4 + 788*c**3 + 4*c**2 - 788*c.\nAnswer: -4*c*(c - 197)*(c - 1)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.17, 1, 14325, 0, -0.3 in descending order.\nAnswer: 14325, 1, 0, -0.17, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 120 = -13*d. What is the highest common factor of 96 and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -2*a + 1. Let j = -10 + 23. Suppose 5*q = -0*q + 4*w - j, -w - 23 = 4*q. List the prime factors of t(q).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n = -15, 4*w - w + 0*w + 8*n = -33 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -632, -648, -666, -686, -708?\nAnswer: -732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 3, 205, -2.\nAnswer: -8, -2, 3, 205","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 4, s: 2, e: 1, x: 5, j: 2}. Give prob of picking 1 j and 1 x.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 101201 + -1020?\nAnswer: 100131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the second derivative of -f**7\/1050 - f**6\/200 + f**4\/30 - f**2\/2 + 9*f. Let o(c) be the first derivative of s(c). Suppose o(g) = 0. Calculate g.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w + 3*w - 2*w)*(7 + 207 - 6).\nAnswer: -416*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*g**2*u**2 + g**2*u + 3081*g*u**2 - 10369*g*u + g - 64*u**2 + 102*u wrt u?\nAnswer: -4*g**2 + 6162*g - 128","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24263*r + 24252*r = -261316. What is the thousands digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1, 7, 37, 101, 211, 379?\nAnswer: 617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2319 is divided by 129.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.47 * -0.8.\nAnswer: -0.376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1105.91 + -1106. Which is the closest to w? (a) -3 (b) -0.2 (c) 1\/4 (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 173*p + 19588347 - 19575545 for p.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**2 + 15*x + 16. Let n be j(-14). Let o(w) = w**3 + 3*w**2 - w - 2. What is the smallest common multiple of o(-2) and ((-16)\/12)\/((n + -3)\/27)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 2*n + 111. Determine s(-15).\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 352*i**2 - 2473*i + 56. Determine p(7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 31 = 11. Let y = -9 - x. Suppose -3*q - 28 = -y*q. Is q a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -20575443*y - 4410. Let u(l) = -18671*l - 4. Determine -2*h(x) + 2205*u(x).\nAnswer: -18669*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13)\/(-520)*-20*4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2366?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 178 - 82. Does 13 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q - 2*x + 2, 0 = q + 3*x - 15. Suppose -4*h - 113 = -3*i + 12, 0 = -4*i - q*h + 125. What is the highest common factor of 140 and i?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -3*z**2 - 130*z + 5. Let l(w) = -2*w**2 - 64*w + 3. What is 5*l(u) - 3*v(u)?\nAnswer: -u**2 + 70*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 48 + -44. Let z be 5 + u + -1 + -5. Solve 4*m = 4*k - 20, 0 = 4*m + z*k + k + 4 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -185 + 562. Calculate the highest common factor of l and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.12, 8, -1.1, 3, 3\/4?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2 + 138*j - 432.\nAnswer: 2*(j - 3)*(j + 72)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3180173269?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 11918 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the second derivative of g**8\/2688 - g**6\/960 - g**2 + 13*g. Let t(f) be the first derivative of u(f). Factor t(x).\nAnswer: x**3*(x - 1)*(x + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6978369 * -3.\nAnswer: -20935107","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -27*h**3*l**2 + 21*h**3 - 6*h**2*l - 9*h**2 + 18*h - 2*l**2 - 56*l - 54 wrt l?\nAnswer: -54*h**3*l - 6*h**2 - 4*l - 56","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 287852.\nAnswer: 2, 71963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/x**(1\/8)*x\/x**3*x)\/(x**(-2\/7))**(-50))**(-3\/14))**(-1\/35) assuming x is positive.\nAnswer: x**(-2421\/27440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 111110002021 (base 3) to base 8\nAnswer: 1004760","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4055 = 538*t - 38*t - 44976 + 12031 for t.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -4a6373 (base 12) to base 15\nAnswer: -18e8a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8*j**6 + 17*j**3 - 219*j**2 wrt j?\nAnswer: -960*j**3 + 102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 23*j + 34 + 81 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -70 + 115. Is 15 a factor of 1\/(4\/d)*4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the second derivative of s**6\/15 - 35*s**4 - 562*s**3\/3 + s**2\/2 + s + 617. What is the second derivative of d(o) wrt o?\nAnswer: 24*o**2 - 840","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(720) - (sqrt(720)*-2 + sqrt(720))**2) + 5 + (sqrt(5040) + sqrt(5040) + -1*sqrt(5040) - sqrt(5040))\/sqrt(7)*-5)*-2.\nAnswer: -24*sqrt(5) + 1420","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*m**4 - 15*m**2 - 34*m**4 + 20*m**4 - 2)*(3*m - m + 0*m).\nAnswer: 2*m**5 - 30*m**3 - 4*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2448360 rounded to the nearest 100000?\nAnswer: -2400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -285, -2102, -6929, -16236, -31493, -54170?\n\"Answer: -245*m**3 - 35*m**2 + 3*m - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -59*m**3 + m**2 - 6. Let t(p) = -1. Let k(o) = -d(o) + 5*t(o). Is k(1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 0*v + 3*v = -7, v = -3*s + 2. Suppose 4*r + 5 = -3. Let h be r - 2*(-3)\/(-6). Sort s, h, 2 in descending order.\nAnswer: 2, s, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13)\/(39\/18)*7\/(-70).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*f + 132298464 = 696778464. What is f rounded to the nearest one million?\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 9*c**3 + c**2 - 58*c + 43. Is w(13) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -182 (b) 0.2 (c) 0.3 (d) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-2)*-4)\/(12\/(-6))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0328 times 1.48?\nAnswer: 0.048544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11*3\/36)\/(((-45)\/140)\/((-18)\/(-21)))?\nAnswer: 22\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -2*x + 22. What is the remainder when 176 is divided by x?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*z - 793 = -853 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p + 12 + 1\/3*p**2.\nAnswer: (p + 6)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 169*f**4 + 2*f**2 + 8105*f wrt f?\nAnswer: 2028*f**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b - 3*b - 60 = 0. Let p be (b\/30)\/(11\/3). Let f = -0.1 - 0.1. What is the third smallest value in 2, p, f?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26 (base 11) to base 5\nAnswer: -103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**2 + 4*x + 4. Let q be a(4). Let f(s) = 9*s. Let p be f(2). Let u = -12 + p. Solve -5*i + q*g - g = -26, 0 = -3*i - 3*g + u for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 + 16. Suppose 2*c - 12 = -2*c. Suppose 0 = 2*v + z + c. Is -5 at most v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 749, 5777, 19431, 46025, 89873, 155289, 246587?\nAnswer: 368081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33079732?\nAnswer: 2, 7, 821, 1439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 49.285 rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16153 - -29048. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 345 = 14*t - 117. Solve -2 = t*f - 34*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8388369 and 1270965?\nAnswer: 41941845","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 1012 = -4*n, 6*i = 2*i + 5*n + 1013. Let o = 1438 + i. Round o to the nearest 100.\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -67 - -127. Is 11 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 80 * 16.81.\nAnswer: 1344.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (6 + (-57 - -52) + 1 + 7).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 401 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15.61 + -18.61. Let u = 0.398 + 0.002. What is the closest to -2\/7 in n, u, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 439646 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 divided by 202871?\nAnswer: 462\/202871","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 42 - 25. Let t be (-1 - 0)*7 + -3. Let h = t + 14. Solve 3*n + 3*j - 2 - 4 = 0, -h*j = n - g for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -4*(0 - (-63)\/(-12)). Calculate the greatest common factor of 105 and j.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/9, -5, 2\/3, -9, -4 in descending order.\nAnswer: 2\/3, 4\/9, -4, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 5.018499 decades?\nAnswer: 0.05018499","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -576.994 take away -1?\nAnswer: -575.994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 - 24129638*c**2 + 24206418*c**2)*(-3 + 2*c**2 + 3)*(1 - 2 + 0) in the form x*c + y*c**4 + n*c**2 + u*c**3 + a and give y.\nAnswer: -153560","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xy when two letters picked without replacement from {g: 5, u: 1, y: 2, x: 1}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2422636807 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes after 4:14 PM?\nAnswer: 3:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -2a15 (base 13) to base 4\nAnswer: -1133112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2364221?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10? (a) -5 (b) 0.5 (c) 1 (d) 2198\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kaaahhhh. Give prob of sequence kaah.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 42 + -18. Let r be -2 + 3*4\/x*-4. Let i(f) = -f - 2. Determine i(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from jjjjhhhjjjjjjjjj.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 2085?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, e: 6, o: 3, n: 1}. What is prob of picking 1 n and 1 e?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27125, -54257, -81389?\nAnswer: -108521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 23\/3*i - 1\/3*i**4 + 25\/3*i**2 - 23\/3*i**3 - 8.\nAnswer: -(i - 1)**2*(i + 1)*(i + 24)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1823*t + 899*t + 907*t.\nAnswer: -17*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-3\/8)*o**(-19)\/o)\/((((o*o**(-3))\/o)\/o)\/o*o)**42 assuming o is positive.\nAnswer: o**(1181\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -574 - -640. Calculate the lowest common multiple of f and 54.\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 438*b**2 + 4*b + 25. Is d(-11) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2367 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2 - -4)*5\/25. Let n be (3\/(-14))\/((-3)\/6). Let m be 1*((-5)\/25*4)\/(-2). What is the closest to w in -0.2, n, m?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2468295413 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -38 - 2 + 41 + 1926*w**2 to b*w**2 + d + m*w and give b.\nAnswer: 1926","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -32 + 37. Let v be 2\/q*(-18)\/(-24)*20. Solve b - 3*b = -d + 6, 2*b = -d - v for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -525.128 rounded to the nearest ten?\nAnswer: -530","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*l**3 + 2 - 2 + 5*l**3.\nAnswer: 2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*i**2*s + 16*i**2 + 16303*i*s*y + 3131*i*y wrt s.\nAnswer: -5*i**2 + 16303*i*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-1\/5)*j**(-8))\/((j\/(((j**0*j*j)\/j)\/j))\/j**(4\/11)))**(-9\/11) assuming j is positive.\nAnswer: j**(4374\/605)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 1216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -68510, -68527, -68566, -68639, -68758, -68935, -69182?\nAnswer: -69511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -3, -6, -16 in ascending order.\nAnswer: -16, -7, -6, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -168 + 11*w - 30*w + 17*w.\nAnswer: -2*w - 168","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20451, 20228, 19857, 19338, 18671?\nAnswer: 17856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*l + 12*l - 6 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -3*l + 2272, 3*l + 3*n - 705 = 1560. Suppose 4*v + 551 = 5*m - l, 509 = 2*m + 3*v. What is the hundreds digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(36)\/sqrt(300) + (sqrt(30) - (sqrt(1920) - (sqrt(1920)*1 - sqrt(1920))))\/(1*sqrt(40)).\nAnswer: -33*sqrt(3)\/10 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**2 + 9*h - 2. Let k be w(8). Let n = -173 + 178. Is k <= n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1246748454 to the power of 1\/3, to the nearest integer?\nAnswer: 1076","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 445678 (base 9) to base 6\nAnswer: 5414242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 23 + -4517.\nAnswer: -4494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (51 - (-8 + 3)) + (-567 - -592)?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -31582.8158 rounded to the nearest one hundred?\nAnswer: -31600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -195*d**4 + 263 wrt d?\nAnswer: -780*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 922807 and -12.\nAnswer: -11073684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 2 g when three letters picked without replacement from {e: 6, g: 7, r: 1}?\nAnswer: 9\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -419, -836, -1253?\nAnswer: -1670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4\/10 + (-20961)\/(-85)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/9 and -36551.35 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 420098?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -a*p*y**3 - 15*a*p*y**2 + a*p + 6*a*y**3 + a*y**2 - 142*p*y**3 - 228*p*y - y**3 + y**2 + 1 wrt y.\nAnswer: -6*a*p + 36*a - 852*p - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -z - 7*f + 8*f, 15 = 5*f for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, u: 4, h: 9}. What is prob of picking 2 h?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 2*m + 9. Let i(s) = s**3 + 7*s**2 + 6*s - 7. Let y be i(-6). Let o be p(y). Let n = o + 7. What is the least common multiple of 2 and n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3678 - -3684. Solve -11*w - l = -b*w + 1, 2*w + l = 2 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 8*s**2 - 7*s - 1. Let i(a) = -a**2 + a. Let j(l) = -3*g(l) - 21*i(l). Factor j(w).\nAnswer: -3*(w - 1)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 371487060 divided by 25830\nAnswer: 14382","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -160 = -q - 151. Let p(g) = 86*g**2 - 2*g + 92. Let z(x) = -345*x**2 + 9*x - 369. Let u(n) = q*p(n) + 2*z(n). Differentiate u(i) with respect to i.\nAnswer: 168*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2\/13*c**2 + 6\/13*c - 4\/13 = 0. What is c?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (530 - 534)\/(((-196)\/(-749))\/7).\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2 + 4)*(-r**2 + r**2 - r**2)*((84 + 94 - 27)*(-2*r + 3 - 3) + 0 + 0 - 6*r).\nAnswer: -616*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 174047 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 352\/15 - -121\/30. Suppose 0 = -7*x + 6169 - 2081. What is the common denominator of w and x\/(-4)*(-2)\/(-36)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/1296636 and -151\/59055876.\nAnswer: 649614636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1529\/(-44) - (-3)\/4. Let g = 37 + v. Let b be 63\/3 - (g + 0). What is the greatest common factor of 2 and b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**2. Let p(g) be the second derivative of -g**6\/360 - 3*g**4\/4 + 6*g. Let n(s) be the third derivative of p(s). Give j(n(v)).\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*z + 5*z**3 + 0*z - 2*z - 2*z**2.\nAnswer: 5*z**3 - 2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2\/1301, -2 in descending order.\nAnswer: 0, -2\/1301, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.29, -0.4, -14, 6\/11?\nAnswer: 0.29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2202 - -2205. Suppose 5*d = 3*k + 19, -k + 0*k - d + 7 = 0. Suppose -s = -k*s. Solve u + s = -3*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -6*z + 279. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes before 10:49 AM?\nAnswer: 9:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 114590090 to the nearest integer?\nAnswer: 10705","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, 4, -3\/5 in decreasing order.\nAnswer: 4, 3, 2, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 31 + -16 + -2 + 7\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 - 6*y**2 + 7*y. Let a be (12 - 13)\/(1\/7). Let g be z(a). Solve u = -g*u + 3 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes before 12:54 AM?\nAnswer: 11:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - -4. Let j be f + -5 - 2\/(-2). What is the nearest to j in 2\/11, 0.4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.01 and 224?\nAnswer: -2.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are 475\/1173 and -1\/6 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the third derivative of j**2 - 1\/90*j**5 - 35*j - 5\/36*j**4 + 0 + 14\/9*j**3. Suppose i(o) = 0. What is o?\nAnswer: -7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 191115083413 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuc when three letters picked without replacement from cuuu?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**3 - 4*p**2 + 3. Let w be j(-4). Suppose w*t = 5*l, 0*l + l = -t. Suppose 4*k - 2549 - 6687 = t. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + -1010303102322?\nAnswer: -1010303102321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 2*g + 10 = -0*g, 4*g - 28 = 2*t. Let r = t - -10. Let p = -14 - -18. Which is the closest to 1\/2? (a) r (b) p (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -40 - -79. List the prime factors of i.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-27)\/270)\/((-1)\/6). Let o = -10 + 12. What is the biggest value in 0.13, o, w, 2\/11?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the third derivative of -n**5\/60 - 7*n**4\/24 - n**3 + 4*n**2. Let q be b(-6). Solve z - 2*d = 3*z, q = -z - 3*d for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 1, 8, 42\/19, -18, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 6783 - 3?\nAnswer: 6780","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from rnnrnrbrnnbbrnibnbr.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/129 and (35\/(-1505))\/(14\/(-10)*-1)*1.\nAnswer: 903","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:09 PM and 7:22 PM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/(-16)*(-58)\/(-87).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 4, -25, -1, -7, -5 in ascending order.\nAnswer: -25, -7, -5, -1, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 4 + (sqrt(1331) - (sqrt(1331) - (0 + sqrt(1331)))) + sqrt(1331) + (-2 + 1*sqrt(1331))**2 - 6*((-1*sqrt(1331))**2 - sqrt(1331))*4*-4.\nAnswer: -1078*sqrt(11) + 129112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 27 = 3*o, 3*x + 4*o + 10 = -28. Let u be 0 - (1 - (x - -4)). Suppose 4 = 3*v + 10. Sort -4, v, u.\nAnswer: -4, u, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15 - -15. Suppose v = 6*u - 4*u - 264. What is the units digit of (u\/16)\/(6\/16)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 628154 is divided by 543?\nAnswer: 446","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 3*g**3 - 2*g + 1. Suppose -4*a + 0 = -4. Let y be s(a). What is the first derivative of -1 + b - y + 5 wrt b?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 - 3)*(-6 - -1). Suppose n - 19 = -z. Let d(w) = 4*w**2 + 7*w + 7. Let i(o) = -5 + 3 - o - o**2 - o. What is z*i(u) + 4*d(u)?\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*m + 5*m + 2*s = -22, s + 23 = -4*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, d: 3}. Give prob of picking 2 d.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i + 9. Let n = i + 5. Factor -4*u**5 + 6*u**2 - 2*u**4 - 4*u**n + 3*u**5 + u.\nAnswer: -u*(u - 1)*(u + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1\/2 and 0.6044981 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -188655\/2261 - -1593\/19. Calculate the common denominator of (-44)\/(-7)*(38\/(-136))\/(-19) and r.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + 35 + 7 = 0. Put 1, -4, u in ascending order.\nAnswer: -4, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204)\/(4*sqrt(192) + sqrt(12)))**2.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -19*g**4 + g**2. Let c(d) = 5*d**4. Let r(i) = -9*c(i) - 2*k(i). Find the third derivative of r(v) wrt v.\nAnswer: -168*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1804 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -104*u**3 + u**2 + 8*u wrt u?\nAnswer: -624*u + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jov when three letters picked without replacement from jlvojojjjdddjdd?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18)\/(sqrt(6) - (sqrt(486) + sqrt(6)))*-3.\nAnswer: sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the third derivative of -1\/60*x**5 + 0*x**3 + 1\/120*x**6 + 0*x - 1\/12*x**4 + 0 + x**2. Find b, given that n(b) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 17016 and 3186?\nAnswer: 9035496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -37*w**2 - 7*w - 7. Let b(t) = 75*t**2 + 6*t - 20. Let m(f) = 12*f**2 + f - 3. Let l(j) = 6*b(j) - 39*m(j). Calculate 7*l(u) - 3*z(u).\nAnswer: -15*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -21*x - 1158. Let b be s(-55). Let v(y) = -15*y - 30. What is v(b)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:03 AM and 4:56 PM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 14 = 8, 0 = -3*v - 2*y + 244. Let j = v - -33. Suppose b + b = p + j, 0 = -3*b + 3*p + 171. What are the prime factors of b?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23033915 to the power of 1\/3, to the nearest integer?\nAnswer: 285","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 5*g**2 + 24123*g + 29816814. Let c(t) = 10*t**2 + 48345*t + 59633630. Let n(s) = 5*a(s) - 3*c(s). Solve n(w) = 0.\nAnswer: -2442","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + 41 + -16 - 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1020 - 35*g**3 - 506 + 4*g + 3*g**2 - 514 to i + s*g**3 + v*g + k*g**2 and give v.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -132*z - 4369. Let d be c(-33). Which is smaller: d or -758\/53?\nAnswer: -758\/53","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 2*t**2 - 17*t - 23. Let k(h) = -h**2 + 8*h + 11. Let s(b) = -3*c(b) - 7*k(b). Let y be s(6). Let j be -3*(-16)\/(-18) - y. Which is smaller: -1 or j?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19791?\nAnswer: 3, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ysscsylstssyyyssysl. What is prob of sequence ls?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-284)\/14 + 4\/14. Let l be z\/(-6)*(-21)\/(-14). Suppose -u + 2 = c, -8*c = -3*c - l*u - 40. Let q(a) = 3*a - 4. Calculate q(c).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13 + 8. Let o = 15 + -21. Let t = o - -6.2. Put 0.5, t, w in descending order.\nAnswer: 0.5, t, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6551+-0.4\nAnswer: 6550.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 71954\/(-11718) - (-12)\/42. Let m = r - 2\/837. Calculate the common denominator of m and (2\/5)\/(36\/(-1275)).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1031 is divided by 68?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 2*s = -3, -4*c - 2*s = -17 - 1. Let z = -8 + c. Let l = 3 - 3.4. What is the second smallest value in z, l, 5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/7)\/n*n*n)**(2\/139)\/(n**(-4)*n**(-12)) assuming n is positive.\nAnswer: n**(15580\/973)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 658*x - 737*x = -12719. What is the remainder when x is divided by (-52)\/(-6) + (-2)\/(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 + -200322?\nAnswer: -200323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6\/5*s + 9\/5*s**2 - 3\/5*s**3 + 0.\nAnswer: -3*s*(s - 2)*(s - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -3*v**2 - 18*v + 2. Let x(l) = l + 2. What is g(o) + 6*x(o)?\nAnswer: -3*o**2 - 12*o + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (249411*c + 0 - 248734*c + 2 - 6)*(0 - 2*c + 0)*(-c + 2*c**2 + c).\nAnswer: -2708*c**4 + 16*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*b + 0 + 3 = 8*s + b, 7 = -3*s - 2*b for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1095321052?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1*(1\/(-1) + 4). Suppose -5*q + a = -25, -4*q + 25 = q + 4*a. Put q, c, -4 in descending order.\nAnswer: q, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hxhxeexhhhtec. Give prob of sequence thxx.\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 13420740*c - 4517074 wrt c?\nAnswer: 13420740","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 0) + (-1 + -3 - (-48 + 55))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 674, 2836, 6420, 11414, 17806?\nAnswer: 25584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 475723\/50 - 9515. Let o = m + 1\/2. Is o > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -33549.9 and -4?\nAnswer: 134199.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-10 - -5) + (4 - 1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3287 divided by -8.\nAnswer: 3287\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 3*p**3 + 3*p**2 - p - 1. Let i be s(-5). Let q = i + 2243. Suppose 0 = 5*u - q - 968. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-7)\/((-49)\/(-2)) - (-72240)\/49?\nAnswer: 2, 11, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 131 + -32120230223?\nAnswer: -32120230032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3\/7, -2, -9406, -3?\nAnswer: -9406","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -15410263, -30820510, -46230757, -61641004, -77051251, -92461498?\n\"Answer: -15410247*x - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (-9 - -9) - 2\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -123 + 206. Suppose 0*s + 4*s - c - 99 = 0, 3*s = -c + y. List the prime factors of s.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 192*a = 2363 + 247 + 1998 for a.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**2 - 10*i. Let y be z(-10). Suppose y = -9*o + 13769 + 2062. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/(-6))\/(1\/12). Find the second derivative of y*v**5 + 0 + 0 + 3*v wrt v.\nAnswer: 80*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2100102 (base 5) to base 14\nAnswer: c774","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, v: 1, a: 1, e: 1, z: 1, h: 1}. What is prob of picking 1 a and 1 e?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2498 is divided by 33?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (5 + -8 - (0 - 1)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 3*c - 0*z - 17, 5*z = -2*c - 17. Solve 16 = 10*x - c for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1051, -968, -823, -616, -347, -16, 377?\nAnswer: 832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (357\/306)\/((-2)\/(-12))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 v when two letters picked without replacement from {s: 1, a: 1, n: 7, v: 2, z: 7}?\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fz when two letters picked without replacement from {f: 8, r: 2, z: 3, q: 7}.\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.9 + -0.85. Let j be ((243\/12)\/(-9))\/(6\/(-4)). Which is the fourth biggest value? (a) g (b) 1\/6 (c) j (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*i - 3*i - 45*i.\nAnswer: -69*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*r - 2652 + 2332 = -28*r for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 19\/4 of a kilogram?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-4)\/(-10) + 252648\/55?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 4*a + 7. Let h(o) = 6*o + 11. Let d be 8*(-3 + 2) - 2. Let i = -18 - d. Suppose 7*j + 100 - 135 = 0. Calculate i*v(c) + j*h(c).\nAnswer: -2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1415288983 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0021549867 rounded to 5 decimal places?\nAnswer: -0.00215","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 30560 to the nearest integer?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4.1 + -0.9. Let r = -8 - -7. Which is the closest to r? (a) -0.5 (b) 1\/4 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 - 1)*(-1 - 2 + 0)*(0*h + h + 0*h)*(4 - 3 + 4) to u*h + j and give u.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that l**3 - 287*l**2 + 2770*l = 0.\nAnswer: 0, 10, 277","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1351415*h**2 - 9*h - 666 wrt h.\nAnswer: 2702830","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*f**4 + 5*f**4 + 4*f**4 + (2 - 2 + 2*f**2)*(f**2 + 6*f**2 - 2*f**2) as d*f**3 + j*f**4 + b*f**2 + w + q*f and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1584773014?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 14201154 a multiple of 611?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s - 11*s = 0. Sort s, -6, 4 in descending order.\nAnswer: 4, s, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -3*j**4\/2 - 111*j**3 + 9675*j**2\/2 - 4725*j = 0.\nAnswer: -105, 0, 1, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14417.\nAnswer: 13, 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-187)\/66*(-189)\/(-102)?\nAnswer: -21\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (83*k**3 + 107*k**3 + 114*k**4 - 191*k**3)*(-1 + 1 - 3).\nAnswer: -342*k**4 + 3*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*g = 133*g - 240. What is the biggest value in -56, -0.3, 1\/3, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7840 divided by -1120.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*(x*x\/((x*((x**0\/x)\/x)\/x*x*x)\/x))\/x*x)**5)**13\/((x*x**3*x*x\/x**3)\/((x\/(x**(4\/3)\/x))\/(x\/x**(4\/3)))) assuming x is positive.\nAnswer: x**258","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 3*s - 19 - 0, 5*p + 25 = 5*s. Let x be 43\/3 - s\/21. Find the second derivative of 53*t - 40*t - x*t**5 + 5*t**5 wrt t.\nAnswer: -180*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 - 2*y**2 - 3*y - 1. Suppose 2*j = -j - 6, 2*h + 2*j + 8 = 0. Let g be z(h). Solve -2*p + 3 = 3*s - 1, -p = -g*s - 2 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the third derivative of n**6\/1080 - 7*n**5\/270 + 19*n**4\/72 - 4*n**3\/3 + 3*n**2 + 5*n. Factor t(m).\nAnswer: (m - 8)*(m - 3)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17721 = j - 3*j + t, 8866 = j + 5*t. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes after 3:13 PM?\nAnswer: 2:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is ad + -6?\nAnswer: a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 370*h - 3082. Give l(8).\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1010 + -520. Suppose 0 = 2*w - 3*g - m, 0 = -5*g + 8 + 2. Does 31 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 171*d - 7 = 176*d - 2*h, -63 = -3*d - 3*h for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 32345 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3161*j = 50630 - 123116 - 161428 for j.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -5 (b) 1\/2 (c) 0.06 (d) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3297 to the power of 1\/2, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 6729?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.2 or 26911?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -44\/7 + 498\/77. Suppose o = -4*o + 50. Suppose 0 = 4*j + 3*p + 10, 5*p = -o - 0. Which is the nearest to 0? (a) 0.3 (b) u (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 4*n. Let x(m) = -15*m. Let k(j) = 22*o(j) + 6*x(j). Let f(p) = 45*p**2 + 71*p**2 - 29*p**2. Give f(k(z)).\nAnswer: 348*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00903488 to 3 dps.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**3 + 6*a**2 + 5*a. Let q be h(6). Let o = -5 + 9. Find the common denominator of -99\/4 and q\/o*91\/42.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1031 = -6*o + 1483. List the prime factors of o.\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u + 1065 + 713 = 0. Suppose -3*h - 2*j = u, 4*h - 202 = -2*j - 540. Let d = -81 - h. Solve -13 - 2 = d*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 smaller than -72\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.02593 + 0.13314. Round a to 2 decimal places.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*n + 32 = -468 for n.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -37059 - -70183. List the prime factors of x.\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 308 and 13379828.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1219 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -122 - -735?\nAnswer: 613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -20*c**2 - 9*c + 12. Let l(k) = k**3 - 79*k**2 - 36*k + 48. Let f(i) = 2*l(i) - 9*n(i). Suppose -116*s - 2*s - 1190 = s. Does 14 divide f(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**2 - 38. Let b be g(-6). Let y be (-28)\/(-6) + b*(-5)\/(-15). Solve t = -5*c - y, -2*t + 4*t + 2*c + 8 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1755, 25, 0 in descending order.\nAnswer: 1755, 25, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 64\/3 of a day in hours?\nAnswer: 512","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 0.3, 1, 17, 2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 5 (b) 0.03 (c) -14\/165 (d) 9 (e) 6\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m*m**(-4))\/m)\/m*m*m**(1\/4)\/m*(m**(-1\/3))**(7\/4) assuming m is positive.\nAnswer: m**(-13\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -n**2 + 6*n**2 + 0*n**2 + (-3*n + 7*n - n)*(0*n - 3*n + 4*n + (0*n - 3*n + 4*n)*(3 + 5 - 5)).\nAnswer: 17*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the first derivative of 8*v**4\/3 - 2*v**3\/3 + 56*v + 85. Let z(b) be the first derivative of l(b). Find the second derivative of z(h) wrt h.\nAnswer: 64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8382?\nAnswer: 2, 3, 11, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4.6 + 20.4. Let i = 23 - y. Which is the biggest value? (a) -2\/17 (b) 2\/3 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1060)\/17808*(174\/(-20))\/(-29)\nAnswer: -1\/56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -3 - (0 - -3 - 1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 75827.03 kilometers in meters?\nAnswer: 75827030","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9540570 and 146778?\nAnswer: 9540570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -z - 22, -z + 43 + 1 = 4*l. Find the first derivative of 4 + 5*a**3 + 10*a - 10*a + l*a**3 wrt a.\nAnswer: 48*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 626989915?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -12 (b) 4 (c) 3 (d) -7 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 378 is divided by 281.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -6\/11, -4.5, 15, 283, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5.1 - -0.1. Let f = 0.143164 - -4.856804. Let v = m + f. What is v rounded to five dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -122 - 4 = -c. Let l = 75038 - 75020. What is the greatest common divisor of l and c?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -0*w - 2*w. Suppose w*d + 2*d - 395 = 0. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 171869?\nAnswer: 171869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 48\/168 - (-12)\/7. Which is the nearest to l? (a) -2\/5 (b) 3\/5 (c) -2\/21 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**2 - 15*v - 12. Let b be q(-13). Suppose -m - b + 24 = 0. What is the greatest common divisor of m and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, v: 6, w: 2}. What is prob of sequence vw?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(500)\/sqrt(4) + 1.\nAnswer: 1 + 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -745942010 rounded to the nearest 1000000?\nAnswer: -746000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n + 5*n + 8. Let g = -2\/29 + 72\/203. What is the nearest to g in n, 1, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3958, 4026, 4096, 4168, 4242, 4318, 4396?\nAnswer: 4476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 243532 and 92178?\nAnswer: 1138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + 0 + sqrt(704) + (1 + sqrt(704))*2)*-5*-1*1)**2.\nAnswer: -3600*sqrt(11) + 158625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4aa29 (base 11) to base 12.\nAnswer: -3638b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6576 and 641160?\nAnswer: 1282320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the first derivative of -2\/3*j**3 - 3 - j**2 + 0*j. Let x(v) = -v + 2. Let i(y) = -1. Let h(u) = -2*i(u) - x(u). Determine -b(r) - 2*h(r).\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**2 + 19*o + 42. Let p be g(21). Suppose p = -5*q - j + 5*j + 35, -16 = 3*q + 5*j. Solve -5*w = q - 13 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1070246.83 to the nearest 100.\nAnswer: 1070200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 243152\/2184 - (0 + (-1)\/(-3)). What is the highest common factor of k and 3293?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*n + 4*n - 1 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 14691 * 8478\nAnswer: 124550298","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -2*k**2 - 22*k - 18. Let i be c(-9). Is (-169504)\/(-24) + 6\/i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -889998*i**3 + 445000*i**3 + 445009*i**3.\nAnswer: 11*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -3*r - 1. Let f be n(-3). Let c(q) = q**2 - 9*q - 7. Let u(x) = x**2 - 9*x - 7. Let y(v) = 3*c(v) - 4*u(v). What are the prime factors of y(f)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, 3, 0, 2, -381, -3, -19 in descending order.\nAnswer: 16, 3, 2, 0, -3, -19, -381","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 350*k**2 + 7 + 9 - 361*k**2 wrt k.\nAnswer: -22*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -25 - -25. Suppose 0 = m + 4, 0 = 4*k - m - v*m - 24. Let u(p) = -4*p - 13. Let q(f) = f + 3. Let l(b) = -9*q(b) - 2*u(b). What is l(k)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8d87 (base 16) to base 7.\nAnswer: 210426","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21 - 42\/(138\/(-23)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -4790*n + 43473. Determine k(9).\nAnswer: 363","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*i = 60*i. Solve i*t + 5*t + q = 17, 6 = 3*q for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes after 7:36 PM?\nAnswer: 9:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**3 - 2*j**2 + 4*j + 3. Let z be k(-3). Suppose l - 2*d + 4 = 0, z = -l - 3*d + 7*d - 6. Let a be 9 - ((l - -2) + 3). Solve -4*p + 2*p = -a for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -182, -21 in increasing order.\nAnswer: -182, -21, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 132 - 236. Let i = f - -108. Let y(x) = x**2 - x - 4. Determine y(i).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/(-20))\/((-1)\/10).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/(j**(-16)*j)*j\/j**(-3) assuming j is positive.\nAnswer: j**20","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/17 (b) -2 (c) 6 (d) 2 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1602591 divided by -40\nAnswer: 1602591\/40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -18 + 0?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -21 - -13. Let p = 29 - 13. Let t = p + b. Is t a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 1138*n - 29576. Give r(25).\nAnswer: -1126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 667538 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -33 - 23. Let u be 8\/b + (-114)\/(-14). Suppose u = 2*o - 0*o - s, 2*o = -s. Solve -3*n - o*n = 3*w - 25, n - 5 = -3*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3875*w**2 + 15*w**3 + 4017*w**2 - 7892*w**2.\nAnswer: 15*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the third derivative of -z**7\/900 + z**6\/540 + z**5\/450 - 5*z**3\/6 + 2*z**2. Let a(v) be the first derivative of d(v). Factor a(y).\nAnswer: -2*y*(y - 1)*(7*y + 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 67101 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add -107 and -1.491.\nAnswer: -108.491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 30f2e (base 16) to base 3\nAnswer: 101012000201","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2380869 = 245*l + 391240 - 231786. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 13.5 and -0.03615.\nAnswer: -0.488025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*h*u**2 - 3014*h*u*z**2 + 272*h*z**2 + 3*h*z wrt u.\nAnswer: 4*h*u - 3014*h*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -89*z**3 + 83*z**3 - 98*z**3 - 129*z**3 + 2*z to m*z**2 + v*z**3 + i*z + l and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**4\/2 + 7*j**3\/2 - 3*j**2\/2 - 23*j\/2 - 7.\nAnswer: (j - 2)*(j + 1)**2*(j + 7)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 100? (a) 20 (b) -30 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0655 + 1.6.\nAnswer: 1.5345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(66) + 4*(sqrt(66) - (sqrt(66) - (sqrt(66) - -2*sqrt(66)))) + sqrt(66))*-4*-5)\/(4*(-3*1*sqrt(66))\/sqrt(11)).\nAnswer: -70*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-3)*(-78)\/(-26)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -8 - -5 - 70\/8. Let n = 133\/8 + h. Find the common denominator of n and 87\/32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 42*d**3 + 0 + 2*d + 2 - 3. What is the tens digit of m(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 50 and 525?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23131?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10 + -6. Suppose -2*o = -5*f + 3*o + 320, 4*f + l*o - 272 = 0. Suppose 5*d - 24 = 6. What is the greatest common factor of d and f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 196054 + -779793\/4. Let s be 1\/88*(0 + -96974). Let r = s + o. What is the common denominator of 151\/18 and r?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zf when two letters picked without replacement from fzvfzff.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -11*b - 1 + 4*b + 2. Let r(n) = 15*n - 3. Let g(k) = 5*m(k) + 2*r(k). Let w(x) = -x + 2. Let j be w(4). Determine g(j).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -372*u - 56 = -380*u. Let y(z) = -6*z**2 + 4 - u*z - 21*z**2 + 44*z**2 - 16*z**2. Give y(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5529401049 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Total of -7188590 and -0.07.\nAnswer: -7188590.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1181 is divided by 67?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 998450362 to the power of 1\/2, to the nearest integer?\nAnswer: 31598","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -637*g - 24. Determine d(0).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q + 3*q - 10. Let d(n) = -n**3 + 5*n**2 - n + 1. Let l be d(q). Find the third derivative of -g**2 - 9*g**6 + g**2 + l*g**6 - 3*g**2 wrt g.\nAnswer: 240*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 110 divide 121984?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -351701.\nAnswer: -3\/351701","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 203 - 200. Solve -w*s = 4*o + 2*s - 35, 2*s + 14 = 4*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3755436 - 10?\nAnswer: -3755446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -5*o + 3*p, -9*p = 3*o - 14*p + 1 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -4*g + 196. Let w(y) = -3493*y. Calculate w(j(q)).\nAnswer: 13972*q - 684628","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1 and 0.9627918?\nAnswer: 1.9627918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2451\/7 + -350. Is a less than 12\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*q = 4*q - 3128. Suppose 4*w - q = -b, b + 96 = 5*w - 74. Solve 6*z - 23*z = -w for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -3*f - 43 + 3, -2*f + 3*r = 27. Let t be (-1)\/((-21)\/f + -2). Suppose -t*s + s + 102 = 0. Does 17 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 2 = -2*j - 5*i, 0 = 3*j + 2*i - 2. Suppose -j*s + 3*s = a - 63, -4*a = -2*s - 246. 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: What comes next: -17, -4, -21, -92, -241?\nAnswer: -492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 320 and 352?\nAnswer: 3520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/(-6)*(-126)\/12. Calculate the highest common factor of 56 and r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 215 and -12.\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31227 + 4.2.\nAnswer: 31231.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -169 divided by -90.\nAnswer: 169\/90","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 5*s - 4. Let l be g(2). Let w(a) = -a**3 + 7*a**2 - 3*a. What is w(l)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -777092, 3 in descending order.\nAnswer: 3, -7, -777092","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4654?\nAnswer: 2, 13, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-5) + (-8)\/(-5). Let o(g) = d + 2 - 5 - 1 + g. What is o(-5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -14? (a) 0.5 (b) 127 (c) -2\/15 (d) 2\/23 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*l - 10 - 35. Solve 5*t + 5*h = -5, -l*h + 4*h + 7 = 2*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 113616, 227228, 340840, 454452, 568064?\nAnswer: 681676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 5*l - 4*l. Let z be 27\/21 - l\/14. Let i = 17 + -16. Calculate the highest common factor of z and i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.4 - 2242.911?\nAnswer: -2251.311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**3 - 2*w**2 + 3*w + 2. Let z be l(0). Let b be -37*(-3 - (z + -63)) - 2. Calculate the remainder when (2\/6)\/((-4)\/b) is divided by 45.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -2*x**2 - 4 + x**2 - 4*x**2. Let j(t) = 4731*t + 4712*t - 9442*t. What is j(h(m))?\nAnswer: -5*m**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*j**4 - 8*j - 9*j + 3*j)*(3 - 2*j - 3).\nAnswer: -10*j**5 + 28*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**6*x)\/(((x\/(((x*x**(2\/13))\/x)\/x))\/x)\/x*x*x*x))**2 assuming x is positive.\nAnswer: x**(108\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 92353 a multiple of 292?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in b**3 + 128133*b**2 - 128133*b**2.\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -6652*f - 6646*f + 13299*f + 6. What is h(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -284*l**3*r**3 - 2*l**2*r**3 + 2*l**2*r**2 - 8*l*r wrt l.\nAnswer: -1704*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -549 - -555. Let h(t) = -t - 7. Let v be h(-9). Calculate the highest common divisor of v and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 243*n**2 + 1083*n - 4371*n + 1098*n + 1097*n + 1093*n.\nAnswer: 243*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -224*z + 109*z**2 + 224*z.\nAnswer: 109*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 381 = 4*u, -2*b - 216 = 5*u - 702. Suppose 4*i - 2*m = -6*m + u, 0 = 3*i + 2*m - 72. Solve g = -3*a - 4*g + i, -a = -4*g + 9 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14318 take away 1?\nAnswer: -14319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of m**4\/12 - m**3\/6 - m**2\/2 - 215*m. Let j(o) = -2*o**2 + 7*o + 6. What is -4*i(s) - j(s)?\nAnswer: -2*s**2 - 3*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8156\/(-28546) + 61\/91.\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence czvv when four letters picked without replacement from sqqqqcsqvvzs.\nAnswer: 1\/5940","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*-5*-5*((sqrt(847) + -2 + 5)**2 + (((sqrt(847) - (sqrt(847) + -1 + sqrt(847)))**2 - sqrt(847)) + -1 - sqrt(847)))*-6.\nAnswer: 6600*sqrt(7) + 510900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the first derivative of -g**8\/336 - g**4\/8 - 3*g**2\/2 + 3. Let a(t) be the second derivative of z(t). Find the second derivative of a(j) wrt j.\nAnswer: -20*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18884 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1389601*n**4 - 3*n**3 + 2*n**2 + 4506111*n?\nAnswer: 33350424*n - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 450 and 25165000.\nAnswer: 226485000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three thirds of a decade in months?\nAnswer: 1720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/3 or -1845435?\nAnswer: -1845435","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 45, 38, 25, 6?\n\"Answer: -3*n**2 + 2*n + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3010032 (base 4) to base 10.\nAnswer: -12558","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 33642 to the nearest integer?\nAnswer: 183","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -4*z**3 - 53*z**2 - 232*z - 355. Determine n(-7).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve w = -5*t - 4, 0*w + 3*w - 20 = -3*t + 8*w for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 98 divide 17640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 52 = -d - t, 2*d - t = -48. Let x be 1\/(-2)*8\/d*-5. What is the closest to -1.1 in -5, x, -4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 6*y - 3. Let u(s) = -s + 1. Let z(h) = a(h) + 5*u(h). Let k be z(2). Solve 3*r - 5 = 2*g - 0, 3*g - r = -k for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1\/5)*i)**(12\/13)\/(i\/(i\/i**3*i*i)*(i*(i**5*i)\/i*i)\/i) assuming i is positive.\nAnswer: i**(-407\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -409695189 divided by -8033239\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11 in -1\/6, 3, 0.8, 3\/8?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 111.7, -459, 3 in descending order.\nAnswer: 111.7, 3, -459","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the first derivative of 2*z**3\/15 + 986*z**2\/5 + 486098*z\/5 - 3574. Factor o(t).\nAnswer: 2*(t + 493)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 120\/240*(-918)\/(-136)*(24\/9)\/2. Factor -v**2 + w - 3\/4*v + 1\/4*v**3.\nAnswer: (v - 3)**2*(v + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19 divided by -1463\nAnswer: 1\/77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -101*d**6 - 41203*d**3 - 5561*d**2 + 3464*d.\nAnswer: -12120*d**3 - 247218","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -133*d*l**2 + d + 413*l**2 wrt d.\nAnswer: -133*l**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15\/9)\/((-90)\/(-36))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3 - 1)\/((-5)\/(-5)). Let u be (-36)\/(-16) + 1\/r. Let x(k) = -k**3 + k + 7. Let b be x(0). Solve u + b = -3*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + 43*y = -0*c + 45*y, y = -0*c + 2*c - 12 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 3\/7 (b) 1 (c) -1129\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000331 rounded to 4 decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 - 1 + 1)*(12 + 5 - 4)*(-1 + 7*o + 1) in the form h + k*o and give k.\nAnswer: -364","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**3 + 10*i**2 + 10*i + 11. Let z be a(-8). Let p be z + 2 + 0\/2. What is p rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -31, 72, 9.4, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*k = 9*k + 342. List the prime factors of k.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 + 1. Let k = -21 - -21.2. Let q = 3.2 - k. Which is the nearest to n? (a) 4 (b) q (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 4*b = 28, -n - 4*n + 118 = 2*b. Calculate the remainder when n is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange r**4 - 10*r**2 - 17*r**2 + 10*r**2 + 6*r + 7 - r**3 to s*r + a*r**3 + z*r**4 + g + n*r**2 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 143\/7542 and 79\/46090.\nAnswer: 414810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15 and 1677.\nAnswer: 8385","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*x - 35*x + 4*x = -2436. Solve -x + 63 = 28*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-160)\/(-30)*6\/4. Suppose -g*l = -l - 70. Let v be 1\/2*(15 - -1). Which is smaller: v or l?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1108, 1109, 1110, 1111, 1112?\nAnswer: 1113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1245 by -83.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:19 AM and 4:15 PM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3308779 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00090302457 to 7 decimal places.\nAnswer: 0.000903","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 1\/2*s**4 + 89*s**2 + 528\/5*s + 144\/5 + 127\/10*s**3 = 0.\nAnswer: -12, -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the first derivative of n**6\/36 + 7*n**5\/15 + n**4\/6 - 53*n**3\/9 + 139*n**2\/12 - 26*n\/3 - 22. Suppose h(b) = 0. Calculate b.\nAnswer: -13, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -2\/1101?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in eighteen fifths of a gram?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/14)\/((-7734)\/90230).\nAnswer: -40\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 332 divide 50481596?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (312\/(-72))\/((-1287)\/594)*((-52)\/(-2))\/2?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9529 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -31 - -31. Let j(u) = 2*u**2 - 36*u - 62. Let l be j(20). Which is the fourth biggest value? (a) 2\/7 (b) l (c) m (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13841 - 13840.9999894064. What is h rounded to seven dps?\nAnswer: 0.0000106","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -86*2*(-5)\/20 is divided by 16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*t**4 - 3*t + 9226 - 4614 - 4609 to the form p + g*t**4 + j*t**2 + w*t**3 + b*t and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 1325614634?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(-1)*(-2 + 0). Let o be 472\/12 + 2\/3. Suppose o = 4*d - a*d. What are the prime factors of d?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**3 - 2*k**2 - 2. Let b(g) = -3*g**3 + 4*g**2 + 1028*g + 4. What is b(t) + 2*r(t)?\nAnswer: -t**3 + 1028*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38370.\nAnswer: 2, 3, 5, 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jzojjjzjojooj. What is prob of sequence zz?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 219792 is divided by 1235?\nAnswer: 1197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**2 - 3*u. Let x be z(-2). Suppose -4*l + x = -2*l. Let d = 0 - 0. Which is bigger: l or d?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -141 - -144. Suppose 2*t - 4*s = -s + 17, -c*t + 26 = -5*s. What is the greatest common factor of 77 and t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6997871?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yb when two letters picked without replacement from {j: 4, b: 1, y: 4, n: 2}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 - 6) + -3 - -14.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 5284?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (20 - 32 + 1574*r + 12)*(-8 + 37 - 7) to the form o + p*r and give p.\nAnswer: 34628","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/(-4))\/(32\/(-128)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 192 (base 13) to base 10\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -9*h - 24. Let c be r(-3). Let x(f) = 28*f - 2*f**2 - 27*f + 32*f**c + 0*f**2. Calculate x(1).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 208?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*s - s + 9*s + 2*s)*(6 + 0 + 9 + (-6 + 0 - 3)*(3 - 6 + 0)).\nAnswer: 210*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put together 203385429090 and -3.\nAnswer: 203385429087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 2*r**4\/25 + 86*r**3\/25 + 14*r**2 - 12966*r\/25 + 12528\/25 = 0.\nAnswer: -29, -24, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the third derivative of s**6\/108 + s**5\/135 - 5*s**4\/108 - 2*s**3\/27 - 7*s**2. Determine o, given that w(o) = 0.\nAnswer: -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16 + -17. Let k(f) = 127*f**2 - f - 1. Is k(d) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 - 71. Let j = 58 + u. Let b = -7 + 3. What is the nearest to -3 in 0.2, b, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one fifth of a meter?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 129 + 144*f**2 - 66 + 290*f - 63 wrt f?\nAnswer: 288","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 427.3407 millilitres?\nAnswer: 0.4273407","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes after 2:17 AM?\nAnswer: 6:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-2)\/u*(((u**(-2)\/u)\/u)\/u)\/u*((u*u\/(u\/u**(2\/7)))\/u)**(-12))**0)**(-48) assuming u is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -4*c - 4520010, -5*c = 3*m - 0*m + 5650006. Round c to the nearest 100000.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51 - -114055951732.\nAnswer: 114055951783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 10*r - 11. What are the prime factors of d(5)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -52230 (base 6) in base 12?\nAnswer: -4076","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -213 - 48. Let d = -205 - z. Is 14 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5423)\/(-605) - 4 - (57\/12 + 12\/48)?\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is 45\/2 of a century in decades?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6*(-1)\/(-2)*20\/(-12). Let c be (12\/(-2))\/(-7 - f). What is the least common multiple of 6 and (-2 - c)*18\/(-15)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 <= -16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2299) - (-2*sqrt(2299) - sqrt(2299)))**2 + sqrt(2299) + 4.\nAnswer: 11*sqrt(19) + 36788","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 161323 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*y + 47*y**3 - 1766 + 1770 - y as d*y**2 + o + n*y**3 + l*y and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 2*h**2. Let w(y) be the second derivative of 0*y**3 + 2*y - 147 - 55\/3*y**4 + 0*y**2. Give w(j(n)).\nAnswer: -880*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -11158*d + 4887211. Determine q(438).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 5\/9558, 360, -0.2?\nAnswer: 5\/9558","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*t**3 - 30624*t**2.\nAnswer: -4*t**2*(t + 7656)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/3, -1\/24, 4, -1, -3\/2, 286, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/6*((-504)\/(-32))\/(-21).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the third derivative of 4*q**7\/3 - q**6\/40 + 17*q**4\/24 - q**3\/2 - 719*q**2. What is the second derivative of j(l) wrt l?\nAnswer: 3360*l**2 - 18*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*v - 10 = 4*v. Solve -3*g + 20 = v*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -7*w + 5. Let r be s(-5). Let o be 72\/7 + 10\/(-35). Calculate the highest common divisor of r and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-1)\/(-2))\/((-10)\/(-140)). Suppose -b*o + 827 = -160. Suppose 183 = 3*m - o. Is 27 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 7 + (20\/5)\/4. Sort -1, 2, 3, j in decreasing order.\nAnswer: j, 3, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*x - 5 = 8*x. Calculate the greatest common factor of x and 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -86 + 41 - 67*j + 18*j + 46 - 1825*j**2 - 68*j wrt j.\nAnswer: -3650","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 + 2. Suppose 3*r - 21 = -3*d, 0 = -r - r - 5*d + 26. Suppose -r*s - 2 = 1. Is s at most as big as f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + 8*n - 6*n = 12, 0 = u - 3*n + 17 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1511 is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 4*s = x - 4, -5*x - 3*s + 11 = 0. Suppose -3*j + 2*o = -50, 0 = -4*o - 0 - x. Does 5 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 483 and 50178548?\nAnswer: 150535644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vcuuvuuuuucwuu. Give prob of sequence vcuv.\nAnswer: 3\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, y: 2, s: 2, o: 2, r: 3, m: 4}. What is prob of sequence or?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/11 - 531\/(-2673)?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 228261286?\nAnswer: 2, 11, 43, 241291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 3 (b) -119 (c) 5 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1957258.\nAnswer: 2, 41, 23869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 65880 divided by -13176?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9717.14 + 9258. Let h = -459 - q. Let m = -0.3 + 0.5. Which is the closest to m? (a) 2\/13 (b) h (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 3*t = -63, 0 = -5*y + t + 3*t + 132. Does 11 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**3 - 6*u**2 + 4. Let i be z(-6). Suppose 3*v + 75959 = i*g, 0 = -v + 2 + 1. Suppose 0 = 3*l + 6992 - g. What is l rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*m**3 + 8*m**3 - 5*m**3.\nAnswer: -5*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16*x**2 - 7035564*x + 1758892.\nAnswer: -4*(x + 439723)*(4*x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 44 + -2ca96?\nAnswer: -2ca52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.3 - -0.7. Suppose f + 3 = 5. Let o be 0 - 2 - (-2)\/f. Which is the nearest to t? (a) o (b) 4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (6\/(-1))\/((-6)\/4). Suppose -3*r = -0*r - 6. Find the first derivative of 4*n - 4*n + 1 - t + r*n wrt n.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20911224?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -3\/7, 97, -11 in descending order.\nAnswer: 97, 0.3, -3\/7, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.1553 rounded to one decimal place?\nAnswer: 24.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 196?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkvjkqkkvdjk. What is prob of sequence kd?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a**2 - a**2 + 5*a**2)*(a**2 - 2*a + 2*a) + (13*a**3 + 4*a**3 - 5*a**3)*(3*a - 4*a + 4*a) - 18*a**4 - 13*a**4 + 14*a**4.\nAnswer: 21*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 plus 36063.67?\nAnswer: 36064.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.47*-38812\nAnswer: 18241.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.003497601 - 1610.\nAnswer: -1609.996502399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u + 56 = 7. Calculate the greatest common divisor of 77 and u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-48)\/6*(-5 - 370\/8). Is 407 greater than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -21 + 52. Let a = b + -3. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4db43 (base 14) in base 10?\nAnswer: 191551","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 64151 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3 - 24112678.\nAnswer: -24112677.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1, 4\/3, -1\/34, -0.3053, 2.2?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (10 - 7) + 16\/1. Let g = 90 - i. What is the remainder when g is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 3038 = f, 14*f - 15234 = 9*f - 2*n. Find the second derivative of -3050*m + 2*m**3 + f*m - 29*m**4 - 2*m**3 - 10 wrt m.\nAnswer: -348*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 + 14. Suppose -3*h = -v*h. Suppose -3*k - 5*z + 18 = h, -z = 2 + 1. What is the smallest common multiple of 2 and k?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 496 by -496.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 2*d. Let r(u) be the third derivative of -5*u**4\/24 - 2*u**2. Determine h(r(v)).\nAnswer: -10*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 - 201?\nAnswer: -202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/5*2\/4. Which is the nearest to -0.1? (a) 1 (b) z (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1299487 smaller than 1299487?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -g**3 + 4*g**3 + 0*g**3 + (3*g + 4*g - 6*g)*(-1 - 2*g**2 + 1) + (g**2 + 0 + 0)*(-3 - 2*g + g + 2*g).\nAnswer: 2*g**3 - 3*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104) + 1*(sqrt(104) - -2*sqrt(104)) + 2*-1*sqrt(104))\/((1*sqrt(1568))\/(sqrt(24)\/(sqrt(24)\/sqrt(4)))).\nAnswer: 2*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (86\/2107)\/(-7*(-6)\/147).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1080 divided by 72\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 36 and 450.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v - 7 + 12 + 4 + 6. What is g(-7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 907307773 to the nearest integer?\nAnswer: 968","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 q, and 2 i when four letters picked without replacement from {x: 3, q: 5, i: 6, a: 3, z: 1, k: 2}?\nAnswer: 15\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1267667, 2535383, 3803097, 5070809, 6338519?\n\"Answer: -r**2 + 1267719*r - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -46 times 710.8?\nAnswer: -32696.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 9346802999 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the third derivative of a**6\/120 - a**5\/6 + 2*a**3 - a**2. Let u be m(10). Calculate the greatest common divisor of u and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 822 and 3562?\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/3 + (-2)\/6. Let j be 3 + (k - -3) + -9. List the prime factors of (-1 - j)\/((-6)\/(-4)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*p + 8 + 2*p**2 - 8)*(p + 8*p - 841 + 852) in the form s + d*p**2 + f*p**3 + o*p and give f.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the third derivative of -i**4\/6 - 4*i**3\/3 - 16*i**2. Let x be g(-2). Suppose 10*v - 1078 - 362 = x. What is the tens digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26.37789 micrograms in nanograms?\nAnswer: 26377.89","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 253 - 107. Let j = m - 141. Suppose -10 = -r - 5. Solve 0 = r*p - j*o, -o = -p + 5*p + 5 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1728 and 405.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3610283 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes after 9:50 AM?\nAnswer: 2:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 55.2 in 0.2, -3\/7, 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -82.703669 to one decimal place.\nAnswer: -82.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2652?\nAnswer: 2, 3, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 138\/(-9) + 4\/(-6). Let s = 38 + i. Let z = s - 0. What is the remainder when z is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 27 - 12c422c?\nAnswer: -12c4205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/95 (b) 1\/3 (c) 0.5 (d) -11 (e) 44\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -220 divided by -20?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2534, -2618, -2764, -2978, -3266, -3634, -4088, -4634?\nAnswer: -5278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2979*d - 297560 = -178400 for d.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -3*o - 478 + 7366, 3*q = 5*o - 11464. What is the highest common factor of o and 62?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12497524 by 480674.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 968190 is divided by 68726.\nAnswer: 6026","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-32)*-6 - (4 - 2)?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 24*r**3 - r**2 + r + 1. Determine j(-1).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 4*h - 39. Let j be w(15). Let o = j + -15. Calculate the remainder when 28 is divided by o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the first derivative of 29*d**3 - 1869*d**2 - 129*d + 4912. Solve v(k) = 0.\nAnswer: -1\/29, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + 20*d + 130 = 24*d, -i - 2*i + 3*d + 95 = -i for i.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/(-14) + (-380)\/(-70). Suppose -2*g = -k*v + 4 + 123, -128 = -4*v - 5*g. What is the remainder when 106 is divided by v?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000840007612 to 7 decimal places.\nAnswer: 0.0000084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 60 = -5*j, 7*j = -2*w + 6*j + 53. Suppose 6*y - 20 = 2*y. Suppose 0 = 2*n - 2*a - a + 11, -y*n + 5*a = w. Let l(v) = v + 5. What is l(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 253, 1772, 5751, 13420, 26009, 44748, 70867?\nAnswer: 105596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 90771*p - 308226*p - 135561*p.\nAnswer: -353016*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -53, -35, 49, 199, 415, 697, 1045?\nAnswer: 1459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3438 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 72\/(-48)*(-1)\/((-3)\/(-8)). Let f = -2\/65 - -73\/260. Which is the nearest to f? (a) j (b) -0.1 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2922784?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -152 + 480*t + 372*t + 149. What is the units digit of u(1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/8 and 95\/59594.\nAnswer: 238376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (8 - 4)\/(-2)*-1. Solve 3*g = -b*k - 3, -2*g - 5*k - 12 = g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 4. Suppose -i - 8 = -3*n, -m*n + 7 + 3 = -i. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(190)*-3*4 + sqrt(190) + ((sqrt(190) - 1*sqrt(190))*-3 - sqrt(190)))\/(sqrt(160)*1 + -3*sqrt(50)\/sqrt(5)).\nAnswer: -12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3 - -1*(3 + 2). Suppose -2*p = -4*d + m*d - 30, 60 = 5*p - 2*d. Is p a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 22\/4515 and -43\/3325.\nAnswer: 428925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 (base 4) in base 2?\nAnswer: 110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39171 = -5*s - 14356. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22 - 202022021?\nAnswer: -202022120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o**2 + 8*o**2 - 16*o**2)*(o + 0 + 0) + (-2 + 2 - 2)*(-8*o**3 - 6*o**3 + 5*o**3) + 3*o**3 - 3*o**3 + 2*o**3.\nAnswer: 10*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6.1 + -2.7. Let v = d - 0.4. Sort v, 5, -2 in decreasing order.\nAnswer: 5, v, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60186*b + 120306*b - 60165*b.\nAnswer: -45*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24 and 444?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*n + 11*n + 5*q = -8, -3*q - 10 = -2*n. Let l be (n\/5)\/(1 + 1). Let -l*s**3 + 1\/5*s**4 + 0*s + 0 + 0*s**2 = 0. Calculate s.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 204 a factor of 19027?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1098 and 2466291.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6494 - 6410. Calculate the greatest common divisor of w and 144.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1\/6, 3, -28, -0.02, 21?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -133*s**3 - 4*s**2 + 2*s + 1. Determine l(1).\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 2065782043028+-1.3\nAnswer: 2065782043026.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**2 + 22*o + 25. Let d be m(-21). Let w be 4 - ((-85)\/35*1 + 7). Put d, w, -9, 2\/9 in descending order.\nAnswer: d, 2\/9, w, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 69\/(-7) - 3\/21. Let m = h - -13. Suppose -2*l + 4 = m*k, 2*l - 4*l - 28 = -5*k. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 19*a**3*o**2 - 24*a**3*y + 7*a*o**2*y**2 + a*o + o*y**2 wrt o.\nAnswer: 38*a**3 + 14*a*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 225211.\nAnswer: 7, 32173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1869521 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*x**3 - x**3 + 3*x**3 + (-425*x + 425*x + 68*x**3)*(4 - 3 + 1).\nAnswer: 134*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the first derivative of -7\/3*a**2 - 13\/9*a**3 + 336 + 0*a + 1\/12*a**4. Factor s(j).\nAnswer: j*(j - 14)*(j + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*t - 4064 = -14*t. Let k = 129 + t. Solve -k*w = -5*n + 25, 0 = -2*n - 5*w + 14 - 4 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -2*q**2 - 2*q. Let i(t) = 13*t**2 + 883*t - 2670. Let j(h) = i(h) + 4*m(h). Determine n so that j(n) = 0.\nAnswer: -178, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 37799836 to the nearest integer?\nAnswer: 6148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 2 + 2 = k, 3*k = 5*s + 16. Let c(o) = k*o**2 - 1 - 3 + 4. Let t(f) = 0*f - 3*f**2 + 0*f. Give c(t(y)).\nAnswer: 18*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 93839 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 4, m: 3}. What is prob of sequence mr?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**3 - 8*v**2 - 8*v + 6. Give x(-6).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24330 (base 5) to base 8.\nAnswer: -3460","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25788*m**2 + 51441*m**2 + 1 - 23157*m**2 to the form o + i*m + z*m**2 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*y - 50 = -14*y - 5*z, 0 = -5*y - 5*z + 80. Solve -35 = -3*j - 17*v + 13*v, 5*j - 3*v = y for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in v**2 - 2*v**2 - 2*v + 24*v.\nAnswer: -v**2 + 22*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 - -5. Suppose 0 = 2*h + 8, 0*u - 2*u - 2*h - 40 = 0. Let o = p - u. Solve 4*x - 1 = o for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2377 - 140 = 138*f + 381 for f.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (782\/(-78) + (63 - 53))*(-4 + 1)?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 16) to base 13.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/(s*s**(1\/2)))\/s)\/(s\/s**(4\/7)))**(-5\/3)\/(((s\/((s**(2\/9)*s)\/s))\/(((s\/s**(-1\/4))\/s)\/s))\/(s**(-1))**27) assuming s is positive.\nAnswer: s**(-6379\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5080218 is divided by 922.\nAnswer: 920","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (5\/15)\/(65\/30)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence legg when four letters picked without replacement from {i: 6, l: 1, g: 4, e: 3}.\nAnswer: 3\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-46)\/(-161))\/(24\/14).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddd when three letters picked without replacement from hhhdddhh?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(17))**2*-2 - sqrt(17) - ((sqrt(153))**2 + 1).\nAnswer: -460 - sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 1 = 4*l - 0*l, l + 5*a + 13 = 0. Solve l*b + 2*b = -12 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13633 is divided by 3523.\nAnswer: 3064","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -2*r + 3*m, 0*r - 8 = -r + 2*m. Find the first derivative of -11 + r*g - 3*g + 2*g - 5*g wrt g.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 1270*f + 28. Let l be y(2). Suppose -8*u - l = -11*u. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:12 PM and 3:30 AM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 630459297 and 1326?\nAnswer: 663","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:00 AM and 8:41 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the third derivative of -g**5\/30 - g**4\/24 + 17*g**3\/3 - 23*g**2. Is 5 a factor of q(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + 6. Suppose 0 = 2*o, l*h - 2 = o - 22. Let w be ((-4)\/20)\/((-6)\/10). What is the third smallest value in h, w, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 27.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1444 is divided by 475?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*-7*3\/84?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the second derivative of -8*z + 0*z**3 + 0*z**2 + 0 - 1\/6*z**4. Let w(d) = 0*d**2 + 5*d**2 - 13*d**2. Determine n(w(k)).\nAnswer: -128*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Put 1943, -0.2, 0.2, 3 in decreasing order.\nAnswer: 1943, 3, 0.2, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(288) + 0 + -6*(sqrt(288) + -1))**2 + (-4*(sqrt(288) + 0 - sqrt(288)) - ((sqrt(288) - sqrt(288)*-2)*5)**2))*5.\nAnswer: -231660 - 5760*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 432 and 90?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3585 and 13679165?\nAnswer: 1195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 428 divided by 4\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -j**2*n*q - j**2*q**2 - 81*j*n*q**2 - 7*j*q**2 - 2*n*q + n - 60*q**2 wrt n?\nAnswer: -j**2*q - 81*j*q**2 - 2*q + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.097, 87, -2\/11, 4\/43, 0.2?\nAnswer: 0.097","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 92 divide 602690?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**3 - 32*l**2 + 37*l - 188. Let o be p(31). Let s = -0.2 - 0.8. Let k = 0.06 - -0.64. Which is the third smallest value? (a) o (b) s (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 51, 1, 1\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 85522905?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 plus -1.055?\nAnswer: -1.255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -89.78 + 85.78. Let o be (7 - 1)\/(1 - -10). Which is the closest to 0.2? (a) 5 (b) o (c) -0.4 (d) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes after 11:04 AM?\nAnswer: 11:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-6664)\/(-140))\/(2\/20). Let c = -436 + r. Is 8 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -s - 2. Let u = s + 3. Solve u - 2 = -w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1316 is divided by 71?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -39.1 + 38.96. Is r at most as big as 2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**3 + 43*r**2 + 43*r + 37. Give z(-42).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + l = -l - 2390, -5*i - l + 2970 = 0. Suppose 1369*y - 1374*y + i = 0. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 11*r**3 - 35*r**2 - 35*r - 1. Give u(-1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence anh when three letters picked without replacement from nlannhnallnljaa?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 5*q - 10. Let j be o(7). Suppose -61 + j = -3*z. Let d = -343 + 571. Calculate the highest common divisor of d and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1996 and 213572.\nAnswer: 213572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -2\/1029218593?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.8 + 1.3. What is the nearest to 2 in 0.4, l, 1\/38?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1000201112000 + 202?\nAnswer: 1000201112202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 1 = -4*h, 5*b - 8 - 11 = 2*h. Solve 21 - 5 = 4*o, b*o - 22 = 5*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-45)\/(-15)*(-8)\/6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1339\/2 - -673. Factor 0*r - 11\/2*r**3 - f*r**5 - 8*r**4 + 0 - r**2.\nAnswer: -r**2*(r + 1)**2*(7*r + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 a factor of 331769365?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v - v + 5*v + 4 - 4 + 3*v - 2*v + 0*v - 2*v - 3*v + v + 0*v + (-v + 2*v + 0*v)*(1 + 0 + 0))*(123 + 161 - 78).\nAnswer: 206*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 5*g**2 + 7*g - 4. Let i(w) = -4*w**2 - 6*w + 1. Let z(y) = 2*h(y) + 3*i(y). Let r(o) = -5*o**2 - 7*o - 9. Determine -4*r(x) + 7*z(x).\nAnswer: 6*x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 253*n**2 - 2*n + 20041 - 20041 + (0*n**2 + 3*n**2 - n**2)*(0 + 1 - 3) to the form k*n**2 + q*n + c and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 1868*x - 1902. What is o(0)?\nAnswer: -1902","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74024 is divided by 37008.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3 - -2) + 2 + 14. Suppose 3*v + 6*r = 3*r, 0 = 23*r - 19*r + 16. Solve -l = v*l - o for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p**2 - 27 + 25 - 28 - 58.\nAnswer: p**2 - 88","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -16*b**4\/3 - 3292*b**3\/3 - 32168*b**2 + 124972*b\/3 - 25160\/3 = 0.\nAnswer: -170, -37, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - x + 2*x + 21 = 0, z - 11 = 3*x. Let r = -9 - -11. Let d(c) = 1 - c**r + 3 + 0 - c - 2. Give d(z).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 10.1684519 to 0 decimal places.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 5*n - 2 = -3*y + n, 4*n - 87 = 7*y - 85 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.734 - 1.659. Which is the second smallest value? (a) 1 (b) m (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 176\/4180*(-45)\/54.\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zq when two letters picked without replacement from {q: 1, s: 1, f: 1, a: 1, z: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 195 and 14451.\nAnswer: 939315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 + 276?\nAnswer: 27b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 166*s - 321. Determine j(2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + z + 19 = -3*p, p = z + 19. Let v = z + 74. Suppose v = 2*u - 13. Is 17 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q**3 - 2*q**3 + 0*q**3)*((0 - 1 + 3)*(-1 + 1 + 1) - 111 + 195 - 13 - 6 + 3 - 4).\nAnswer: -132*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 410 + -79. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7601.63718 rounded to the nearest 100?\nAnswer: -7600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 13065012*k**2 + 5244989 wrt k?\nAnswer: 26130024*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j**2 + 2*j - 2*j)*(-836 + 836 - 17*j**3) - 2*j**5 - j**5 + 2*j**5 + (-2*j + 0*j + 0*j)*(4*j**4 - 4*j**4 - 2*j**4) + j + j**5 - j + j - j**5 - j.\nAnswer: 20*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -816.6 (b) 7 (c) 0 (d) 3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 + 53 = 3*v. Let i(o) = -2*o**2 + 9. Let q(f) be the third derivative of f**3\/6 - 4*f**2 + 5. What is v*q(b) - i(b)?\nAnswer: 2*b**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2902)\/11 + -7 + 525\/77. Let q = t + 679. List the prime factors of q.\nAnswer: 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45 is divided by (-2)\/((4 + -1)\/(-36))?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14*(-22)\/177870*-35.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -212330223 (base 6) to base 10.\nAnswer: -3759783","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(324))\/sqrt(9))\/sqrt(12) + ((sqrt(147)*-1 + sqrt(147))*-5)**2 + 6*sqrt(336)\/(sqrt(14)\/sqrt(8)).\nAnswer: 47*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -342, -333, -310, -267, -198, -97, 42?\nAnswer: 225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -42*u**3 + 2184*u**2 + u - 32. Calculate a(52).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 174070\/35 - 0 - (-30)\/(-70)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/269 greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.19? (a) -0.1 (b) 3 (c) -180 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**2 + 60*j + 880. Calculate h(-34).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10111000010 (base 2) to base 3.\nAnswer: -2000121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2\/5))**(-36)\/(((u**3\/u)\/u)\/(u\/(u**(2\/5)*u))) assuming u is positive.\nAnswer: u**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hn when two letters picked without replacement from hhnnahjh.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d - 2 + 2)*(2*d - 2*d**3 - 2*d) - 121*d**4 - 44*d**4 - 21*d**4.\nAnswer: -180*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes after 4:01 AM?\nAnswer: 5:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-18))\/((-99)\/(-44)*(679\/(-84) - -8))?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the third derivative of -q**4\/3 + 188*q**3\/3 + 17*q**2 - q - 5. Determine g(49).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 265 is divided by 17?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 15 + (5 + 1 - (-32 + 36))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**3 - 42*p**2 - 53*p - 507. Let y be x(-41). Let d(w) = -w - 38. What is d(y)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -346, -1382, -3106, -5518, -8618, -12406, -16882?\n\"Answer: -344*l**2 - 4*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1\/44 + 83\/220. Let p(n) = -n**2 + 6*n + 3. Let i be p(7). Which is greater: i or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1244 - -7525\/6. What is the common denominator of (-437)\/(-36) + 2\/(-9) and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (60 - 28 - 31 - 527*q)*(0*q**3 + 8*q**3 - 4*q**3) + 2 - 2 - q**4 + (-2*q**2 + 3*q**2 - 2*q**2)*(q**2 - 1 + 1).\nAnswer: -2110*q**4 + 4*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8381?\nAnswer: 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + 5 + 13 + -2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 246*w**2 + 286*w**2 - 145*w**2 + w**3 + 2 to y*w**3 + n + u*w + h*w**2 and give h.\nAnswer: 387","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 71.1001878 - 71.1. Round r to five decimal places.\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.5 from 144621.59696602.\nAnswer: 144622.09696602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3\/6)\/((-4)\/48). Let r(g) = -g. Let t(d) = d**3 + 8*d**2 + 11*d. Let j(w) = 2*r(w) - t(w). Let k be j(c). Is k at most 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the second derivative of -i**4\/12 + 11*i**3\/6 + 6*i**2 - 11*i. Calculate the lowest common multiple of p(10) and 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 135 divide 161560?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -181\/4158 and -53\/744.\nAnswer: 515592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**3 + 3*p**2 - 25*p + 23. Let n be h(1). Which is the closest to 1? (a) 4\/5 (b) -0.2 (c) 4 (d) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53354 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 5*h + 25, -5*y + 2*h - 13 = -42. Solve 0 = -s - 2*s - y*u, 0 = -s - u for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4712, -4718, -4734, -4766, -4820?\nAnswer: -4902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -738.84 + 773. Let j = -35 + p. Round j to 1 decimal place.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lzp when three letters picked without replacement from {y: 1, l: 2, z: 3, n: 1, p: 6}.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15.03 - 9.66. Let t = 5.37 - i. Which is the nearest to -0.2? (a) -0.1 (b) t (c) -0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 19\/(665\/192) + -6. Let l = i - -4\/5. Let a = 2.02 - 2. What is the closest to a in -0.3, 0, l?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 523, 526, 529, 532?\nAnswer: 535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3701.\nAnswer: 3701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 384032?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a millennium in decades?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s**3 - 2*s**3 + 4*s**3)*(55*s**2 - 17*s - 137*s**2 + 87*s**2 + s).\nAnswer: 5*s**5 - 16*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 86734 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30\/3)\/((-5)\/(5\/20*-12))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*b**2*s - 48*b**2*x - 4*b*x - 29*s*x - 12*x wrt b.\nAnswer: 4*b*s - 96*b*x - 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o**3\/19 - 40*o**2\/19 - 86*o\/19 - 44\/19 = 0. What is o?\nAnswer: -1, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25 + 10*t + 25)*(8 - 6 + 6).\nAnswer: 80*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7.6*87.85.\nAnswer: -667.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.131547 and 1.82?\nAnswer: -0.23941554","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1784 - 5*a + 880 + 37*a + 892 to z + g*a and give z.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 3*s - 13. Let d be j(12). Let t = d - 15. Suppose 4*l - 5 + 1 = 4*y, -2*l + t = -5*y. Let o(g) = -3*g + 1. What is o(l)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(((sqrt(70) - (sqrt(70) + sqrt(70) + -1*sqrt(70))*2)*2)\/(sqrt(100)\/(sqrt(10) + (sqrt(10) - sqrt(10)*-2)) + 1*sqrt(10)*6) + -2).\nAnswer: 16*sqrt(7)\/25 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/8*c**2 + 9\/4*c - 81\/8.\nAnswer: -(c - 9)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1706 or -3?\nAnswer: 1706","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from scccs. What is prob of sequence sccc?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 38869, 78142, 117415?\nAnswer: 156688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 954 = -86. What are the prime factors of j?\nAnswer: 2, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the third derivative of a**4\/2 + 259*a**3\/3 + a**2 - 4*a + 260. What is p(-44)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 + 2 - (38 - 59 - -11) - 54.\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/18 + -14*(-3)\/108?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -i**3 + 14*i - 5*i - 6*i + 2*i**2 to the form o + a*i**2 + t*i + u*i**3 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 26 and 67834?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-252 - 264 - 2*z + 543)*(-4 + 4 - 1).\nAnswer: 2*z - 27","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -301 - -296. What is the fourth smallest value in g, -1\/2, 0.5, -8?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2*q**2 + 1)*(-2*q**3 - 2*q**3 + 6*q**3) + 14 - 14 + 5*q**5.\nAnswer: q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-26))\/(194\/(-5044)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-9)\/(-36) + 6\/8. Let d(h) = 383*h**3 + 1. What are the prime factors of d(y)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b + g - 18, -3*b - 9 = -6*b - 4*g. Let i be (-2 - 2*-1)\/1. Suppose -u - 3*u + 48 = i. Calculate the remainder when u is divided by b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.3 (b) 11 (c) 664\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -52040 - 3.\nAnswer: -52043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-14))\/((112\/7)\/(-896))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -273f (base 16) in base 12?\nAnswer: -5993","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:31 PM and 8:22 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 241*a + 1917. Give x(-8).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -24 - 38. Let f = i + 115. Calculate the remainder when f is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.3 and 6834394134377.\nAnswer: 6834394134377.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 2*m**3 - 6*m**2 - 206*m + 1089. Calculate f(-12).\nAnswer: -759","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1\/2857 - 5719\/14285. Which is the closest to r? (a) -2 (b) -1\/2 (c) -45\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20725?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -3*b. Suppose b*j + j - 4 = 0. Solve 2*p - 6*p - 4*t = 16, j*p - 3*t = 5 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0, 3, 288, 5, 12, -3\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1245 and 5?\nAnswer: 1245","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 7121 divide 21277548?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -100 - -1320?\nAnswer: 1220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of ((-30)\/12 - -2)*10092\/(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 83.24 + -83.44. Let x be (4 - 0)*2\/(-84). What is the closest to 0.1 in x, 0.08, j?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*h**2 - 1853 - 2*h**2 + 1853 + 6*h**2.\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 627 is divided by 118?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -210 = -26*u + 15*u - 24*u. Calculate the remainder when 116 is divided by u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**14\/k**18 assuming k is positive.\nAnswer: k**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -5 - 9. Calculate the remainder when 12 is divided by d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(44)\/(sqrt(4) + sqrt(64)*5))**2.\nAnswer: 11\/441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jt when two letters picked without replacement from vlvltjkvvvtvwtvvvv.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 5*k = -4, 0 = 5*t + k - 6. Suppose -3*n - 11 + t = -2*r, r - 8 = 3*n. Let w(a) = 3*a - 4*a + r*a. Let b(c) = -c. Calculate w(b(x)).\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -0.106 (b) 4 (c) 0.4 (d) 17 (e) -2\/39\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2, 12, 7 in descending order.\nAnswer: 12, 7, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the second derivative of s**5\/20 + 2*s**4\/3 + s**3\/2 - 89*s. Suppose -4*t - 17 = 7. What is the units digit of q(t)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -111*q - 2551. Let c be a(-23). Solve c*i = 3*f + 4, -3*i + 10 + 13 = 4*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 148?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -154, 2, -1044, 1, -17 in descending order.\nAnswer: 2, 1, 0, -17, -154, -1044","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**2 + 4*q + 25. Let r be j(-3). Solve 0 = 4*l + 8, -3*o = -7*o - r*l - 20 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*d**4 + 2*d**3 + 444*d**2 - 468.\nAnswer: -8*d**3 + 6*d**2 + 888*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*l**3 + 1539470*l**2 - 11876344*l - 3518912.\nAnswer: (l - 8)*(l + 219932)*(7*l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -108 + (665 + -673 - (-20 - -1)).\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2430 divided by -6?\nAnswer: 405","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -11*s**3 - 6*s**2 + 15*s + 10. Let t(n) = 65*n**3 + 35*n**2 - 90*n - 60. Let x(v) = 35*l(v) + 6*t(v). Factor x(i).\nAnswer: 5*(i - 2)*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3704?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -8*u + 4. Give j(6).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 - h - 23 + 10 + 2*h**2 to the form t + f*h + c*h**2 and give t.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 15) in base 12?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (2 + -1)*(-2)\/(-5)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 632, -7, 5 in descending order.\nAnswer: 632, 5, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.64968l in millilitres?\nAnswer: 9649.68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4966 and 8.\nAnswer: 19864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 27663 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.47 in 1, -5, 2\/99, 5?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -20*p - 21*p - 82 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10111001 + -10001000010?\nAnswer: -1110001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the first derivative of -2*t**6\/3 + 4*t**5\/5 + 3*t**4 - 20*t**3\/3 + 4*t**2 - 1. Factor u(k).\nAnswer: -4*k*(k - 1)**3*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*a - 107 - 12*a - 52 - 2 + 0*a in the form z*a + f and give f.\nAnswer: -161","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 - -5) + (108\/(-216))\/((-1)\/(-4)). Solve 0*k = -4*y + m*k + 8, 0 = k for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34991*o - 17492*o - 216 = 17487*o for o.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 2*x**4 - 4*x. Let m(y) = 3*y**2 - 3*y**2 + y**2 - y. Let l(g) = j(g) - 4*m(g). What is the third derivative of l(n) wrt n?\nAnswer: 48*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-548)*1816\/2270\nAnswer: -2\/137","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -34, -102, -192, -304, -438?\n\"Answer: -11*s**2 - 35*s + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 5 = 2*g. Solve 4*r + 5*j = -g, 2*r - r - 5*j = -20 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 672 and 980112?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 147137 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 66799 to the nearest integer?\nAnswer: 258","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17.6 - -17.9. Which is the closest to 1? (a) 4\/7 (b) w (c) -1\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 - 6. Let j = -3.9 - z. What is the second biggest value in 2\/7, j, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/30)\/((-4)\/(-5)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes after 1:27 PM?\nAnswer: 8:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 6*o - 70. Solve -4*a + 5*l = a + o, -14 = -5*a - 3*l for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 4*q**3 + 36*q**2 + 29*q + 7. Let y(b) = -b**2. Let l(o) = -3*m(o) - 12*y(o). Solve l(c) = 0 for c.\nAnswer: -7, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*q + 12 = -21*q. Suppose -2*p + q*s + 376 = 0, -p + 2*s + 191 = -s. Is 51 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 463, 776, 1079, 1366, 1631?\nAnswer: 1868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one sixths of a decade in months?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 - -10. Let v be (2\/28)\/(5*(-5)\/100). Is s less than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-4)*(-10)\/(3\/((-312)\/(-13)))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {k: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 114.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4*13\/(-18))\/(6\/9))\/(40\/480).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.2, 0.3, -10\/9?\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 3\/2, 2\/3, 494\/111, -2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*6018498.\nAnswer: -18055494","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*m - 2*m - 113 + 115)*(m - 3*m + 0*m).\nAnswer: 30*m**2 - 4*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(99) + -3)*3)**2.\nAnswer: -648*sqrt(11) + 3888","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10 + -7. Suppose -5*l = -k*g - 22, 2*l - g = 4*l. Find o, given that -1 + l*o**2 - o + 0*o**4 + 5*o**3 + 2*o**4 + o**2 = 0.\nAnswer: -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 171 + (-7)\/14 + (-14)\/4. Let r = x - 117. What is the least common multiple of 50 and r?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1168 by 292.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2, 26, -35, 3, 4, -78 in ascending order.\nAnswer: -78, -35, -5, -2, 3, 4, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 356 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - l = 2*q + 6, 3*q + 9 = 2*l. Suppose 6*k - 3*k - 15 = 0, 2*k = -3*f + 22. Suppose f*p - 2*p = l. Put 4, p, -3 in descending order.\nAnswer: 4, p, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 319 = 3*m + 313. Let d be ((-1)\/(-14))\/((-3)\/(-1014)). Let o = -23 + d. Which is bigger: m or o?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132)\/(sqrt(11) + sqrt(66)\/sqrt(6)))\/((-1*sqrt(72))\/sqrt(12)).\nAnswer: -sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (1 - 4 - -10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/(m\/(m\/m**6)))\/m**(-1\/4))\/(m**(1\/2))**(-50))**(2\/145) assuming m is positive.\nAnswer: m**(81\/290)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4.4 - -0.4. Let t = f + 2. What is the second biggest value in 0.1, t, 1\/7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 178945 to the power of 1\/3, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27843*y**2 + 55684*y**2 - 27837*y**2.\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 170762797?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 - 12*m**2 + 244*m - 2744. Let o be p(12). Let a be 46*(1 + 2\/(-4)). Calculate the greatest common factor of o and a.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -90*y + 75*y + 30. Solve y*p + 31 - 1 = -4*v, p = -5*v - 30 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 78, 30, -18, -66?\n\"Answer: -48*w + 126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(441)\/(-1*sqrt(28)))\/((sqrt(225) - (sqrt(225) - sqrt(225)*2)) + sqrt(900)*1).\nAnswer: -sqrt(7)\/40 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14435 - 9335. Round o to the nearest one hundred.\nAnswer: 5100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 18, -5, -3.\nAnswer: -5, -3, 2, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**2 + 1603*c + 24255. Determine w(-15).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**3 - 4 + 25*n + 971*n**2 - 998*n**2 - 10. Let m be z(-28). Let x = m + -65. Solve -3*y = -k + 2, 0 = x*y - 6*k + 3*k + 2 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89108600 rounded to the nearest 1000000?\nAnswer: 89000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 12*q - 37*q - 9 + 20*q. Calculate the remainder when 18 is divided by b(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -46*m**2 + 589*m + 16. Let s be i(12). Is 446 greater than or equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 156282a (base 11) to base 4.\nAnswer: 22023130210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 22*t**3 + 14*t**2 + 5. Suppose 1153*o - 48 = 1159*o. Let p(k) = -15*k**3 - 9*k**2 - 3. What is o*p(f) - 5*h(f)?\nAnswer: 10*f**3 + 2*f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f = -y + 78, -2407*y + 2405*y = 2*f + 34 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 + 5\/(10\/4). Let z(i) = i**3 - 6*i**2 - 12*i - 17. Let a be z(8). Suppose 18 = -6*y + a*y. Solve o*f - 4 = y*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3016, -6050, -9104, -12178, -15272, -18386, -21520?\nAnswer: -24674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:59 PM and 10:19 AM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/1020)\/((-44)\/(-748)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6110192 a multiple of 233?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -724274927 at most -724274927?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10111111110100 (base 2) to base 14.\nAnswer: 468c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - d = 5*d + 7*d + d - 8*d - 123, -5*d = 13*t - 25 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.2, 0.4, 1\/3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -206\/3 + 616\/9. Let z = -14 + 12.96. Let g = z + 0.04. Does w = g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and -170268.\nAnswer: 17026.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 405 and 29565?\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 298848?\nAnswer: 2, 3, 11, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 748 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 39 - -16 - (92 + 5).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -746137 - -2?\nAnswer: -746135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 - -1. Find the third derivative of 7*n**2 + 1 - n**h + 7*n**3 - 1 wrt n.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96025038587 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 + 1 - (-34 - -31). Suppose 0 = i + 5*h - 2911, -3*h - 10674 = -a*i + 1016. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbbrrrrvrrrr. What is prob of picking 1 v and 2 r?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8)\/(-28) + 387\/(-1869). Let r = -3237\/712 - d. Let x = -62372\/11 - -5674. Find the common denominator of r and x.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50*g**3 + 165*g**2 + 67*g**3 - 178*g**2 + 20*g**3.\nAnswer: 37*g**3 - 13*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 30 - 33. Let v be g\/9 - (-10)\/(-6). Let b = 5 - v. Solve 8 = -b*w + 3*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ch when two letters picked without replacement from flocfhloooolhoff?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 224, 878, 1968, 3494, 5456, 7854, 10688?\nAnswer: 13958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2615958 to the power of 1\/2, to the nearest integer?\nAnswer: 1617","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 14\/161 + 5929\/1380 + -3. Let l = t + -21\/20. What is the nearest to l in -0.1, -1.92, 2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -129 or -132?\nAnswer: -132","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 449 is divided by 50.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1132.43132 times -4?\nAnswer: -4529.72528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the third derivative of r**6\/120 - 2*r**5\/15 + r**4\/12 - r**3\/3 + 7*r**2. Suppose 0*d - 2*d + 16 = 0. Is y(d) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 55, 187031, 3 in increasing order.\nAnswer: 3, 8, 55, 187031","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**3 + 9*x**2 - 19*x - 18. What is r(-10)?\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - (-2 - 2)) + -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -151\/31836 and -37\/84.\nAnswer: 31836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4728739 a multiple of 361?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (84\/294)\/(2\/4). Which is smaller: g or 0.6?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 minus 300.5907003881?\nAnswer: -299.5907003881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - 11*r - 107 = 0, -14678 = y - 4*r - 14631 for y.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.3 - -0.4. Let x be 1*(100 - -1 - -1). Let q be 4*(-5 + 2)\/x. Which is the closest to z? (a) 1\/3 (b) 2\/3 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9437924489.\nAnswer: 7, 23, 58620649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14645686151\/3039060 - -38\/759765. Let i = n + 4813. Calculate the common denominator of -71\/6 and i.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 6*u**5\/11 - 460*u**4\/11 + 2062*u**3\/11 - 304*u**2 + 2312*u\/11 - 576\/11 = 0.\nAnswer: 2\/3, 1, 2, 72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 546 - 2b?\nAnswer: 518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -49*0.9\nAnswer: -44.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/234 and -83\/60.\nAnswer: 2340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - -10 - (-3 + (-29)\/(-12))*-8.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4498038971 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 218822 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.78 + 3. Let n = w + -2.22. Let s = 3 - n. Which is the closest to -0.1? (a) -6 (b) 1\/4 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 5*u**2. Let j(t) = -9 + 9 + 0 + t**2. Give q(j(o)).\nAnswer: 5*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -504?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.221 and -0.264?\nAnswer: 0.043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.283 take away 9090710?\nAnswer: -9090713.283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/9*(-18)\/36.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 8591*y + 3. Let q(l) = -7*l**2. Calculate g(q(s)).\nAnswer: -60137*s**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 398*l - 6731. Calculate the remainder when k(17) is divided by 4\/(-14) + 344\/28.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**3 - 117*r**2 - 222*r.\nAnswer: -3*r*(r + 2)*(r + 37)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -80*d + 1231. Calculate o(36).\nAnswer: -1649","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 5*d + 4. Let p be 12\/(-20) + (-13)\/(-5). Which is smaller: p or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*g*l**2*o**2 - 1983*g*l**2*o + g*l*o - g*l + 45*g*o**2 - 4*l**2*o**2 + 4*l*o**2 - 5*o wrt l?\nAnswer: 18*g*o**2 - 3966*g*o - 8*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7385526mg to grams.\nAnswer: 0.0007385526","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -4*a**2 - 4*a - 9. Let p be v(-2). Calculate the remainder when 100 is divided by p\/(((-12)\/6)\/((-24)\/(-4))).\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 28 + -27.87. Let f = d - 0.1299994. Round f to 6 dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -25.430745 to one dp.\nAnswer: -25.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*(((y*y**(5\/8))\/y)\/y)\/y)**(7\/5)\/(y\/(y\/(y*(y**(4\/3)*y)\/y*y)))**20 assuming y is positive.\nAnswer: y**(-8063\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 21118 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4088879?\nAnswer: 4088879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(-4))\/(f\/(f*f\/((f*f\/(f**4*f*f))\/f)))*(f**1)**(-47) assuming f is positive.\nAnswer: f**(-44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.1 - -1. Let k = 6.77 + -7. Let q = k - -0.73. Sort q, j, 5\/2 in decreasing order.\nAnswer: 5\/2, q, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 3, c: 2}. Give prob of sequence vvcv.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 190537090?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -14186 (b) 4 (c) 62\/391 (d) 0.3 (e) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -3498, -6979, -10460, -13941, -17422, -20903?\n\"Answer: -3481*f - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18663 + b**2 - 18572 - 2*b**2.\nAnswer: -b**2 + 91","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, u: 1, o: 9, e: 2}. Give prob of sequence le.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from lchhcldlcdldh?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10\/23, 3\/2, 5, 63, 0.23, 0 in decreasing order.\nAnswer: 63, 5, 3\/2, 0.23, 0, -10\/23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 4, q: 7}. Give prob of picking 4 m.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (39 - (47 + -6)) + (-5 - 1) + 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**3\/2 + 2*b**2 - 251*b\/2 - 255.\nAnswer: (b - 15)*(b + 2)*(b + 17)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 9*p - 62. Let j be (-4)\/(-54)*3 - -61*(-3)\/(-27). Give x(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8060 divided by -620?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 11518 = 1103. Let b = m - 1433. What is b rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, p: 6}. Give prob of sequence lpp.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 8690697?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/6*-8 + 35. Let t = m + -52. Is (-532)\/t + (-2)\/(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69002 is divided by 162?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 2 - (3 - (5 - 0))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1098 and 6954.\nAnswer: 20862","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2438684947?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/(-16))\/(70512\/28928).\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 2 + 6*v - 3*v - 4*v - v + 29*v**2. Let t = -2 - -5. Is y(t) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(6 + (-1 - 27) + 26) + 0 + -77?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (0*(-24)\/(-312))\/(-4)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 2*p**2 - 4*p + 3. Let x be (104\/10)\/(3*12\/(-270)). Let a = x - -80. Give c(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*x - 26160237 - 189248 = 0. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -255*g - 795*g + 169 - 22219 for g.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ibbybbyyyiiyf. Give prob of picking 3 b.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 0 + 11 + -3 + -12\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11 and 539.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 47 = -2*y - 33, -4*y = 3*n + 50. Is 56 a factor of (-5108)\/n - 4\/22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7680873nm in micrometers?\nAnswer: 0.0007680873","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 145754925 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12931515 by 1.\nAnswer: 12931515","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -0.4, -4\/259, -0.2?\nAnswer: -4\/259","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -12 + 6 + (18 - 5)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73*c + 70*c + 4*m - 1 = 0, 11 = 3*c - m. Solve -t = c*k + 2*t - 28, 2*k - 2*t = 8 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2805345 or -2805344?\nAnswer: -2805344","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 475397148?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 426817547?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 7*a. Suppose -s + 8 = 2*r, -s + 3*r - r = a. Calculate the remainder when 20 is divided by s + (1 - (0 - 2)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -195*-1\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -3615 - 10*j**2 + 3615 - 11*j**2. Let z(b) = b**2. What is z(p(t))?\nAnswer: 441*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 + -6. Let q be 2*(l - 6\/(-15)). Let s = 92 - 830\/9. Which is the closest to 0.05? (a) s (b) 0 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -2*q. Let u(c) = c + 1296. Determine h(u(i)).\nAnswer: -2*i - 2592","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a - 6*a - 2 + 0*a)*(1 + 2 - 2 + (-2 + 3 + 1)*(0 - 1 + 2) - 1 + 5 - 3)*(19 - 19 - 39*a).\nAnswer: 1248*a**2 + 312*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -9*z - z. Put 6, 2\/7, z, 2 in descending order.\nAnswer: 6, 2, 2\/7, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = a - 3*s, 4 = 128*a - 132*a + 3*s for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1054816 and 277.\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 8*g**2 + 3*g - 7. Let o(b) = 3*b**2 + b - 2. Let r(j) = 11*o(j) - 4*q(j). Is r(5) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -22, 1401, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-3\/5)*g*g**15*g**17*g*g*(g**(-15)\/g)\/g)**(-2\/9) assuming g is positive.\nAnswer: g**(-58\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 192 by -2.\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -106061 - -260520. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 85 and 30005.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.00463 - 0.09537. Let i be ((-8)\/3)\/2 - -1. Which is the second biggest value? (a) -2 (b) 2\/11 (c) t (d) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 2323.358 meters?\nAnswer: 2323358000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -g**3*p**2 - 3*g**3*p + 25801*g**2*p + 75*p**4 - 2*p**2 wrt p?\nAnswer: -2*g**3 + 900*p**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -5\/7, 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 116 + -56. Suppose -8*g = -5*g - u. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*m**5\/5 + 266*m**4\/5 - 524*m**3\/5 - 104*m**2\/5 = 0. Calculate m.\nAnswer: -26, -2\/11, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 6 = 2*n, 5*n - 2*r = -r + 7. Let t = 161 + -159.99. Let y = t + -0.01. Does n = y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, l: 1, d: 3, h: 3}. Give prob of sequence ld.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the second derivative of -2*j + 1\/6*j**4 + 70 + 0*j**2 - 3\/2*j**3 + 1\/4*j**5. Let g(x) = -2*x**3 - x**2 + 4*x. Give -9*g(z) - 4*l(z).\nAnswer: -2*z**3 + z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o + 15. Let n be 5 - 7 - -3 - -3. Suppose 0 = -3*d + 6, n*d + d = 5*k - 110. What is the least common multiple of k and g(0)?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-755352)\/689)\/8 - (90\/(-477))\/5?\nAnswer: -137","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/2*(-7)\/(-56).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 82*g + 2445 - 477 for g.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 + 10\/2*-1. Let k = j + 9. Suppose -3*m + 54 - 6 = 0. What is the highest common factor of k and m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*s + 0*s**4 + s**2 - s**4 - s**4 + 3*s**4 - s**3 + 2 to the form i*s**2 + f*s**4 + v + a*s + m*s**3 and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 12, 2*x + 115 = -2*o - 47. Let c be (-50)\/136 - 10\/o. What is the closest to c in 17, 4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -3*n**2 + n**2 + 5*n**2. Let o(x) be the first derivative of -x**3\/3 + 9. Give s(o(j)).\nAnswer: 3*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 204, 303, 416, 549, 708, 899?\n\"Answer: y**3 + y**2 + 89*y + 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from guurguuggrtrrtgru. What is prob of picking 2 r?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/31, -246\/13, -1554, 1 in descending order.\nAnswer: 1, -1\/31, -246\/13, -1554","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -10*z - 56. Let l be c(-6). Suppose 0 = 2*a + 5*j - l, 2*a - a + 4*j = -1. Solve 2*m + a - 1 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -1148?\nAnswer: -1143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -1383*m + 7640. Calculate c(5).\nAnswer: 725","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - -1 - (-17 + 4 + 6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - w = -43, -3*s - 3*w = w - 42. Solve 3*c = -d - s, -6*d + 5*c + 35 = -4*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2212 + -2211.6. Which is the nearest to 7? (a) 1\/5 (b) -0.4 (c) v (d) 29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = h + 1, 3*h + 5*k = 2*k + 15. Let q(r) = -h - 2*r + 3 + 1. Let m(l) = l**2. Determine q(m(x)).\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(325)*-3 + sqrt(13))**2 + 3 + -1 - ((-2*sqrt(1573) - sqrt(13)) + (-2*sqrt(637) + sqrt(13))**2)*3)*-6.\nAnswer: -414*sqrt(13) + 24246","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 448882 or 448752?\nAnswer: 448752","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -4*c - 58. Suppose -3*i = 1679 - 1709. Let u(z) = z + 19. What is i*u(s) + 3*p(s)?\nAnswer: -2*s + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 440 - 311. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -237, -621, -869, -915, -693, -137?\n\"Answer: 11*k**3 + 2*k**2 - 467*k + 217","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = 36*u + 28. Let m be (-4650)\/(-6500) + u\/20. Let 0 + m*s**2 + 70\/13*s**5 + 12*s**3 - 16\/13*s - 218\/13*s**4 = 0. Calculate s.\nAnswer: -2\/7, 0, 2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 427 + -425. Let v(l) = 7*l + 21 - l + 9*l - 6*l + l**2. Let y be v(-6). Solve 2*q - r - r = -8, 12 = -y*q + h*r for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 588 a factor of 43974?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(6\/17)*u**(5\/6))\/((u*u**(-22)*u)\/u**(-1\/3)))**(-3\/5) assuming u is positive.\nAnswer: u**(-2127\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 204239140?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -23 - -16. Suppose 5*t - u = -15, 3 = 2*t - 4*t + u. Do f and t have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2337283?\nAnswer: 13, 23, 7817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 99 and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in -2, 0.036, 0.049, 5\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1529.\nAnswer: 11, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 616 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.3 + -0.3. Let p = -3 + r. Which is the nearest to 2\/11? (a) -2 (b) 2 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 32 = 2*t, -3*t + 6*t + 38 = 5*f. Let m be (25 + t)\/(1\/17). Calculate the highest common factor of m and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -109*z - 568*z - 279*z.\nAnswer: -956*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 5*v**2 - 2. Let q be y(2). Let h = q - 12. Let f = -6 + h. Solve 3*n + f - 15 = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q - 8. Let d be r(8). Suppose -4*h - h + 10 = d. Suppose h = 4*f - 6. Solve -8 = -f*b + 6*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*w**3 - 723 - 1762*w**3 + 723 - 411*w**3.\nAnswer: -2168*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/12 - (-26)\/312?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -31 + 59. Let g be a\/6 - (-14)\/42. Suppose -500 = -g*d + 55. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 0)*(9*y - 8*y + 58*y)*(6*y**3 - 27 + 27) + 3*y**4 + y**4 - y**4.\nAnswer: -351*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2236200.\nAnswer: 2, 3, 5, 3727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from ooozzo.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9892 + 9893. Solve -32*w = -33*w - l for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -0*v + x - 34, -3*x = 3*v - 36. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7f9e (base 16) to base 14\nAnswer: bc98","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 + 7*w**2 + 29*w - 34. Calculate v(9).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/9 + (-8)\/(5040\/9991163). Let a = m - -15857. Calculate the common denominator of a and 1\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30.01121 rounded to the nearest integer?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 28*t - 15. Let n be l(-6). Let k = -80 - n. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -146*p**2*q**3 + 7*p**2*q**2 + 268*p**2*q - 694*p*q**3 - 7 wrt q.\nAnswer: -876*p**2 - 4164*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (-8 - -2 - -4) - 7.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-63)\/9*2\/7\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3372*a - 111580 = 655 + 39505 for a.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -9*b. Let a = -14 - -30. Let d(y) = a*y - 7*y - 8*y. Determine v(d(k)).\nAnswer: -9*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2889 is divided by 2888.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 51552 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2380 - 939. What is the remainder when d is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1363 is divided by 91.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -4 + (10 - 2) + 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v**(-3\/8)\/v*v)\/(v*v**10\/v*v))**(9\/5))**(-21\/2))**(15\/4) assuming v is positive.\nAnswer: v**(51597\/64)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 2*r**3 + 8*r**2 - 13*r - 8. What is u(-7)?\nAnswer: -211","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -141 - 174 = -3*c. Suppose c = 5*j - 5. List the prime factors of j.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -22 + 506*q**2 + 38 - 54 + 38 - 1709*q wrt q?\nAnswer: 1012","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 3, -20367, -1\/11?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13 + -10. Suppose 3*p + p = -3*a + 11, w*p - 1 = 5*a. Suppose -5*m = p + 3. Which is greater: m or -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 5*s + 5, 5*f - s = -0*s + 13. What is the derivative of -4 + 5*c**f + 0 - 2*c**3 wrt c?\nAnswer: 9*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**2 + 6*q + 7. Let b be k(-5). Solve 0 = w - a - 2, 0 = b*w + 5*a + 2 - 6 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 - -11877?\nAnswer: 11872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 389 is divided by 114?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.333 - 0.033. Let x = 0.3 - l. What is the biggest value in x, -4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 687, 705, 721, 735, 747, 757?\nAnswer: 765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 - 7.7. What is the third biggest value in -5, y, -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 37*p**2 + 22*p**2 + 30*p**2 - 3*p**2 + 0*p**2 + 4*p**2 + (0*p + 2*p - 4*p)*(-2 + 2 - p).\nAnswer: 92*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 351461 is divided by 2096?\nAnswer: 1429","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -4 (b) 1 (c) 156\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-44)*r*r*r\/r**42 assuming r is positive.\nAnswer: r**(-83)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 682 divided by 1\nAnswer: 682","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 221515 and 105?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add together 15269 and 897.\nAnswer: 16166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 126 = 16*z. What is the hundreds digit of 12\/36 - (-682)\/z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r - 3*r - 3*r)*((-9 + 10*r**2 + 9)*(-4 + 5 + 0) - 16 + 16 - 3*r - 11*r**2).\nAnswer: 8*r**3 + 24*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -104, 0, 0.5, 1789\/48 in decreasing order.\nAnswer: 1789\/48, 0.5, 0, -0.3, -104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 3 = -0*l. Let i be (-6)\/(-15)*(-15)\/(-6). Calculate the greatest common divisor of l and i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f = 29 - 5. Let r(c) = 3*c**2 + 13*c - 42. Let l be r(f). Put l, 3, 0 in ascending order.\nAnswer: 0, 3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2))**(-6\/19)\/((i**(10\/7)\/i)\/i**(-8)) assuming i is positive.\nAnswer: i**(-1037\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, l: 1, o: 7}. What is prob of sequence oooo?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -572, 21, -3, 16\/5, -4\/5.\nAnswer: -572, -3, -4\/5, 16\/5, 4, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -6 + 5 - (-755)\/5. Let j = d + -136. Solve j*u = 51 + 19 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k - 2*f + 102 = -6*k, f - 306 = -3*k. What is the lowest common multiple of 34 and k?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, q: 3, x: 1, m: 6, j: 2}. What is prob of sequence jx?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cckkuacyaae. What is prob of sequence keac?\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes after 6:57 AM?\nAnswer: 5:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 48, 72, 156, 330, 624, 1068?\n\"Answer: 5*f**3 - 11*f + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56354359*j**3 - 28177179*j**3 + 13*j**2 - 28177178*j**3.\nAnswer: 2*j**3 + 13*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*s - 188437 - 5513 = 0. List the prime factors of s.\nAnswer: 2, 3, 5, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 4*m**3 - 6*m**2 - 21*m - 1. Calculate b(-2).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -67631, -270544, -608733, -1082198?\n\"Answer: -67638*r**2 + r + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6409 + 6401 + 6*p**3 - 19*p**3)*(2*p - 2*p - p)*(-4 + 4 + 2*p + 8 - 8 - 2*p + (-4 + 1 + 2)*(2*p + 0 + 0)).\nAnswer: -26*p**5 - 16*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.02 - 0.38. Let j = -2\/429 + -284\/429. Sort 2\/11, u, j in descending order.\nAnswer: 2\/11, u, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 441409 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/5 - (1081\/46 - 21))*2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 173\/12 - 57\/4. What is the third smallest value in o, 3\/5, -18, 2?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*g**2 + 34*g + 11*g**2 - 34*g + 13*g**3 + 2*g**4 - 28*g**2 - 2 to h*g**2 + q*g**4 + r*g + z + m*g**3 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2276 divided by 4?\nAnswer: 569","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -18 greater than 2663?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 1 = 13. Let z = 21 + k. Does 18 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**2 + 61866*z + 2781946. What is x(-45)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 508720945859 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 267250 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the third derivative of o**8\/168 - o**7\/105 - o**6\/60 + o**5\/30 + 5*o**2. Factor u(t).\nAnswer: 2*t**2*(t - 1)**2*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + h - 108 = 0, h + 80 = 3*k + 2*h. Let b = -19 + 5. Let u = b + k. What are the prime factors of u?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 380 + i**3 - 761 + 3*i + 380 - 6*i**2. Suppose -2*f = -5*f + 6. Calculate v(f).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((80\/(-75))\/8)\/(9\/15).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1135 - x**3 + 36*x + 1135 + 6*x**3 - 3*x**3.\nAnswer: 2*x**3 + 36*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j = -8, u + 17 = 4*j - 7*j for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -3*h - 137. Let m be 2\/h*4*1. Let v be (-2)\/8 + -5*3\/(-20). Sort v, m, -2\/23 in decreasing order.\nAnswer: v, -2\/23, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -5*o**2 - 13177*o + 105720. What is w(8)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qa when two letters picked without replacement from nrnrrrnrgnnrangnqrna.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 48 - v + 0*v.\nAnswer: -v - 48","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*t + 20*t + 26*t - 29*t - 39*t.\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -2*c**2 + 27*c + 9. Suppose 44*z = -7*v + 41*z + 80, 4*v = -4*z + 32. What is h(v)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the second derivative of y**4\/16 - 15*y**3\/8 + 21*y**2\/4 - 10*y + 6. Suppose q(v) = 0. Calculate v.\nAnswer: 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -3*g - 11. Let h(z) = -z - 4. Let i(s) = -8*h(s) + 3*o(s). Give i(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 3, w: 1, v: 1, z: 3, k: 3}. What is prob of picking 3 k?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/2 (b) -1\/2 (c) -2 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -15*h**4 + 5*h**2 - 17. Let v(x) = -16*x**4 + 4*x**2 - 17. Let c(o) = 4*l(o) - 5*v(o). Differentiate c(z) with respect to z.\nAnswer: 80*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*p + 2*p - 4*p**2 + 3*p**2)*(2*p - 4*p + p).\nAnswer: p**3 + 6*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 + 1 - (-10)\/(-10). Let j(u) = -u**3 + 15*u**2 - 13*u - 18. Let l be j(14). Which is the smallest value? (a) 1\/10 (b) l (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 162*h - 626 - 832 for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 387243 is divided by 4611?\nAnswer: 4530","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the second derivative of -t**5\/4 + t**4\/4 - t**3\/2 + 3*t**2\/2 - 62*t. Let f(q) = 10*q**3 - 5*q**2 + 5*q - 5. Calculate 3*f(v) + 5*w(v).\nAnswer: 5*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5069149270 to the power of 1\/2, to the nearest integer?\nAnswer: 71198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:07 AM and 6:11 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.3 (b) -30973 (c) -2\/13 (d) 0.2 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -l + 4*r, 5*l + 5*r = 0. Let q be 1\/4 + (-21)\/(-12). Suppose -10 = -3*w + q*w. Solve j + 4*j = l, 3*j = -2*n + w for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(1008) + sqrt(1008)*2)*3 - (1*sqrt(1008)*3)**2).\nAnswer: -18144 + 216*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -145927967.722 and 101?\nAnswer: 145928068.722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n + 3*n - 1788. Is 6\/(-15) + n\/5 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 788.93143 rounded to 1 dp?\nAnswer: 788.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 19962 divided by -16?\nAnswer: -9981\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1945?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**3 - 5*o**2 - 8*o + 9. Let r(k) = k**3 + 3*k**2 + 4*k - 5. Give 3*d(u) + 5*r(u).\nAnswer: 2*u**3 - 4*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 15325102889 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/98637 at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8226 - -8246. Solve g*s - 104 = -44 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -9*s**2 + s - 12. Let k(f) = -10*f**2 + 3*f - 12. Let h(w) = 3*k(w) - 4*n(w). What are the prime factors of h(-6)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 13 - -308808?\nAnswer: 308822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -5*v**2 + 55*v - 14. Let z(f) = -6*f**2 + 55*f - 16. Determine 7*h(i) - 6*z(i).\nAnswer: i**2 + 55*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-13)\/(-5) + (60\/(-25))\/(-6). Solve -2*c + 17 = 3*t, -f*c + 10 = 5*t - 18 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((-5*-2*sqrt(80) - sqrt(80)) + (sqrt(80) - (-5 + -1*sqrt(80))) + sqrt(80) - (1 + sqrt(80) + -1)*1)**2 + -1.\nAnswer: 440*sqrt(5) + 9701","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50 - 8 - 21 - 21 - 3*m.\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -62983 not equal to -29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -316*z + 313*z + 2*o = -2, -4*z = -5*o - 19 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 56627.95 decades?\nAnswer: 566.2795","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18122 = -2*y - 18110. Calculate the smallest common multiple of y and 2109.\nAnswer: 4218","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (93*i**2 + 95*i**2 - 196*i**2)*(6*i**2 + 0*i**2 - 2*i**2).\nAnswer: -32*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 525 - 510. Let r(b) = -35*b**3 + b + 1. Let w be r(-1). Let m = 79 - w. What is the remainder when m is divided by j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-9)*y\/y**(-11))**(-2\/75) assuming y is positive.\nAnswer: y**(-2\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1331) - (sqrt(1331) + (sqrt(1331) - (sqrt(1331) + 1))))*2)**2 - (2 + (sqrt(539) + 0 + sqrt(539))**2).\nAnswer: -2154","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -40*s**2 - 37*s**2 - 6*s**2 - 5 - 29*s**2 + 27*s**2 + 2370*s**3 wrt s.\nAnswer: 14220","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + -8. Let d = l + 31. Let b = d + -22.8. Put b, -1, 2\/5 in descending order.\nAnswer: 2\/5, b, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*y + 17 = -5. Suppose 0*b - y*b = -20. Calculate the remainder when 88 is divided by b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j + 10, -2*w - 3*w + 5*j = -145. Suppose 0*s + w = s + 2*l, -3*s + l + 116 = 0. Does 13 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -26 + 35. Suppose -2*q + q + m = 0. Are 9 and q equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 7, g: 1, s: 2, e: 1, o: 2, t: 2}. Give prob of sequence as.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 118.459 to the nearest 10.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes before 9:37 AM?\nAnswer: 7:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -282 * 3\nAnswer: -846","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the second derivative of -5*d**4\/12 + 250*d**3\/3 + 505*d + 2. Factor a(f).\nAnswer: -5*f*(f - 100)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -15946312, -31892623, -47838934, -63785245, -79731556?\n\"Answer: -15946311*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41.35062g to nanograms.\nAnswer: 41350620000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 43537507 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 9137305*q - 17993812 wrt q?\nAnswer: 9137305","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 431894 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 61 + 3\/1 + -1. Let r be 5\/(4\/14 - (-45)\/c). Solve 0 = 5*o + 5 + r for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -19.5 - -24.5. Let v be (-3)\/4 + 54\/(-24). Let a be (-5)\/3 + (0 - 3)\/v. What is the fourth smallest value in o, 2\/11, 1\/6, a?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4327, -198, -4723, -9248, -13773?\nAnswer: -18298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 17799709*b**3*d*f**3 + b**3*d*f**2 - b**2*d*f - 10*b*d*f**2 + 1498*b - 4*d*f wrt f?\nAnswer: 106798254*b**3*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -3*g - 30. Calculate the remainder when 93 is divided by w(-14).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {f: 3, x: 4}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 353*h - 4081 = 348*h + 3*v, 0 = 2*h - 5*v - 1602. Is 817 >= h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 8*w. Suppose 4*h - 12 = 2*v, -4*v - 3 = -3*h + 1. Let s(t) = -6 + 4 + v + t**2. Calculate s(p(u)).\nAnswer: 64*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 2*l**5\/3 - 62*l**4 + 4196*l**3\/3 + 2548*l**2 - 77926*l\/3 + 22090 = 0.\nAnswer: -5, 1, 3, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6144*d + 6147*d = 26 + 25 for d.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -351.802 or -13?\nAnswer: -351.802","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.401 (b) 2\/5 (c) 2\/39\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2779*y**3 + 5546*y**3 - 2757*y**3 - 9246*y + 6*y**4 + 2*y**2 wrt y.\nAnswer: 72*y**2 + 60*y + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -400*t**4\/11 + 91260*t**3\/11 - 88042*t**2 + 139116*t\/11 + 3906 = 0?\nAnswer: -3\/20, 3\/10, 11, 217","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2393767458 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31339250 is divided by 2611604?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12.803 - 12.803. Which is the nearest to -0.1? (a) -36 (b) u (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 5*w = u - 16, 20 = -5*w. Solve -4*c + 6 = -u*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 14\/3*h + 1\/6*h**5 - 7\/2*h**3 - 2\/3*h**2 + 0 - 2\/3*h**4 = 0.\nAnswer: -2, 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*l**4 + 30396*l**3 - 1989720*l**2 + 7594256*l - 7472736 = 0. Calculate l.\nAnswer: 2, 62, 7533","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18 + -11. Suppose -c = -5*p + 3. Solve -5*f = -p*f - 3 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 15*t = 84 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = 3*b - 133, 4*f - 5 - 142 = -5*b. Calculate the smallest common multiple of 434 and f.\nAnswer: 868","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -4*l**2 - 3*l + 2377. Give w(24).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -58472\/73 - -801. Does -1 = j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80.62569mm in kilometers?\nAnswer: 0.00008062569","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 3*u**2. Let l(k) = -872*k**2. Give r(l(a)).\nAnswer: 2281152*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 plus -0.0093?\nAnswer: -0.5093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Do -276 and -283 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**3 + 28*n**2 - 77*n + 50.\nAnswer: -(n - 25)*(n - 2)*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 91 - 76. Is 4556\/30 + 2\/u a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 2*n = -6. Find the third derivative of -4*r**6 - 6*r**2 - 3*r**n + 6*r**6 + r**2 wrt r.\nAnswer: -120*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 37 - 19. What is the remainder when t is divided by (-4)\/8 - 105\/(-10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18193130 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: Let d be 4\/20 + 9\/5. Factor 1\/5 - 1\/5*o**d + 0*o.\nAnswer: -(o - 1)*(o + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -383*k**2 - k - 27432*k**4 + 27431*k**4 + 505*k**2 + 476*k**2 to the form m*k**4 + t*k**2 + f*k**3 + z + c*k and give t.\nAnswer: 598","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6264462 - 2*w**3 - 6264462.\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*y**3 - y**3 + 0*y + 0*y**4 - 3*y - y**4 to the form p*y**3 + t*y**4 + s*y + u*y**2 + k and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 + 42 = -3*a. Let f be 23\/(-3) - 14\/a. Let p(u) = 457*u - 1. Let m be p(f). What is m rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the second derivative of -2*k + 0 + 5*k**2 + 1\/6*k**3. Determine u(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 96 + -96. Solve 2*p + 3*u + 0*u = k, -4*u = 4*p + 4 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - d = 4*d + 35, 40 = 2*z - 4*d. Let w(v) = v**3 - 12*v**2 + 19*v + 6. Let g be w(z). Put 5, 3, g, 75 in descending order.\nAnswer: 75, 5, 3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3 + k. Let m be y(1). Let n be 0 + 8\/2 + 0. Suppose -n*c - m*j + 4*j = -50, 3*c = -2*j + 34. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 105*c**2. Let f(d) = -63*d. Give f(k(v)).\nAnswer: -6615*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**2 - 26*l - 31. Let w be d(-19). Let y = w + -96. Suppose 2*f = f + y. Solve 0 = -g - g + f for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -44*r*z - 10882*r - 239*z wrt z.\nAnswer: -44*r - 239","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -68*t + 0 - 58*t - 2 + 108*t. Let u = -3 + -7. Is s(u) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the second derivative of 9\/20*g**6 + 48*g + 9\/10*g**5 + 0*g**3 + 0 + 1\/2*g**4 + 0*g**2 + 1\/14*g**7. Factor d(n).\nAnswer: 3*n**2*(n + 2)**2*(2*n + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*a - 10 = 19*a. Find the third derivative of -41*m**a - 19*m**5 - 19*m + 19*m + 20*m**5 wrt m.\nAnswer: 60*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 43027202*j**5 + 3*j**2 - 5827175?\nAnswer: 2581632120*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (-112 - -125 - (0 - 22)) + 0.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h + 0*h - 18 = 0. Let b = h - 6. Let t(u) = -u**3 - 4*u**2 - 2*u + 3. Determine t(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 + 8*i**2 + 5*i**2 - 10 + 10*i - 5*i**2 - i**2. Suppose 12 = 3*n - 0*n. What is the remainder when l(8) is divided by n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 + (2\/(-5))\/((-1)\/(-1895)). Let z = p + 755. Suppose 2*f = 0, -2*d + 12 = 2*d - 4*f. Sort d, z, 2, 5 in increasing order.\nAnswer: z, 2, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 149\/186 - -1\/31. Sort 2, -0.1, 0.4, t in decreasing order.\nAnswer: 2, t, 0.4, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 137 + -416\/3. Let c = 85 + -86. What is the nearest to c in 4, x, 4\/3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2626.906 rounded to the nearest integer?\nAnswer: -2627","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -w**4\/2 + 5*w**3\/2 - 2*w**2 = 0.\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 791818*u**2 - 744665*u wrt u?\nAnswer: 1583636","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -1\/4*w**2 - 2463\/2*w - 6066369\/4 = 0.\nAnswer: -2463","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 152 and 19?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes before 3:34 AM?\nAnswer: 4:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**3 - l**2 - 2*l + 4. Let b be s(1). Suppose -6*h + 563 + 463 = b. What are the prime factors of h?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(1900) + 2 + sqrt(1900))**2 + (-5*-2*sqrt(19))**2) + (sqrt(931)*5)**2*-1*-3.\nAnswer: 80*sqrt(19) + 79329","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 22 = j + i, 26 = 3*j - 4*i. Suppose -27 = -3*d - 5*x, 4*d - 3*x = j*d - 1. What is the smallest common multiple of 20 and d?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 344*d**2 + 341*d**2 + 4*d**3 + 337*d**2 - 1 - 1367*d**2 - 19*d + 343*d**2 as b + k*d + m*d**2 + g*d**3 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the third derivative of u**2 + 0 + 0*u - 2437\/12*u**4 + 4\/3*u**3. Let g be z(-8). Round g to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38982163 a multiple of 190?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 2*t**2. Let w(x) = 31*x - 91. Let p be w(3). Let k(c) be the first derivative of 10\/3*c**3 + 0*c + 0*c**p + 2. Give k(y(m)).\nAnswer: 40*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 2*h = -316. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g - 13. Let b be h(17). Suppose 19975 = 5*m - b*z + 4265, 6284 = 2*m + 2*z. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1 + 108 - (0\/6)\/4?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 + 10*h + 7. Let u = -3 + -1. Let r = u - -22. Suppose 5*b - 1 = o - 14, 3*b = 4*o - r. Let l(m) = 3*m + 2. Calculate b*v(k) + 7*l(k).\nAnswer: 2*k**3 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**3 + 11*n**2 + 26*n + 2. Let f be m(13). Suppose f*p = 10 + 26. Calculate the greatest common divisor of p and 90.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/6*-4)\/(12\/(-18))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2446112*c**4 + 121219?\nAnswer: -9784448*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 16*(-1)\/10*10970\/(-2194)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 2*n - 4, -n + 10*v = 5*v + 10. Let s(j) be the second derivative of -1\/3*j**3 + 1\/10*j**5 - 1\/6*j**4 + n + j + j**2. Factor s(u).\nAnswer: 2*(u - 1)**2*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 29 - 29.5. Which is the smallest value? (a) 2\/3 (b) u (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 243, 368, 569, 852, 1223, 1688, 2253, 2924?\nAnswer: 3707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4393262?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a*a**(-1\/3)*a*a)**(-28)*(a\/(a**0\/a))\/(a*a*a**(-1)))**(2\/85) assuming a is positive.\nAnswer: a**(-122\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76 = -4*j + 4*n, -4*j = 3*n - 8*n - 76. Suppose -2*q - 2*c = -76, 5*c + 26 = q - 0*c. Calculate the remainder when q is divided by j.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 133431708 a multiple of 204?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -2*o**3 + 149*o**2 + 230*o - 105. Let x be j(76). What is the highest common factor of 9635 and x?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from uuuununuuu.\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z + 3. Let t be x(9). Suppose m = u + 38, 5*u - m - 35 + 241 = 0. Let w = -18 - u. Calculate the greatest common factor of w and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 4*m**2. Let w(p) be the first derivative of -13*p**3\/3 - p**2 + 263. Determine w(r(y)).\nAnswer: -208*y**4 - 8*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 i when two letters picked without replacement from dikkdddkkhikkkkd.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38035.\nAnswer: 5, 7607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*d*m**2*p + 44*d*m**2 + 897*d*m*p + 2*d*m - 48*d*p + 3*d - m**2*p - 3416*m**2 wrt m?\nAnswer: -6*d*p + 88*d - 2*p - 6832","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -2.4, 4, 0.2, -4, -8 in decreasing order.\nAnswer: 4, 0.2, -2.4, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-4)\/6)\/((-2)\/(-6)). Let c(q) = -q**2. Let b be c(h). Is (0 + 106)\/(-2 - b) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 6*k - 20 = 0. Determine n, given that n + 3*n**2 - n - 3*n**3 + n**k - n = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4*a + 3*a + 2*a)*(0 + 0 - 1) + 0*a - 2*a + a)*(10*a - 4*a + 9*a)*(2 - 3 + 2).\nAnswer: -30*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2496)*-2)\/sqrt(3) - ((-2 + sqrt(52)\/sqrt(4))**2 + -2).\nAnswer: -12*sqrt(13) - 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -37, -5, -4, 32, -66 in increasing order.\nAnswer: -66, -37, -5, -4, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 5 - 9*y**3 - y - 3*y - 5*y**2 + 10*y**3 + 5*y. Suppose 0 = 5*t - 28 + 3. What is the units digit of u(t)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 2*n + 3 = 0. Let h = -7 - -7. What is the nearest to h in n, -2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5 + -5 - 2\/(-2). Is u greater than 1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (9\/(-6))\/((-1)\/(-28)*-2). Let d be 0\/((c\/(-12) + 2)*4). Let z = -1 - -2. What is the nearest to d in 3, -0.5, z?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 + (-1800)\/(-35) - (-25 + 20)*4\/35.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y - 5*g + 146, 3*g = 3*y + 7*g - 109. Let x(o) = -o**3 + 9*o**2 + 14. Let i = 170 - 161. What is the remainder when y is divided by x(i)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 3*n**4 - 12*n**3 - 9*n**2 + 42*n - 24 = 0.\nAnswer: -2, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**3 - r**2 - 1. Let p(j) = 2*j + j**2 - j**2 - 2*j**2 + 63*j**3 - 3 - 60*j**3. Let w(l) = -2*m(l) + p(l). Differentiate w(o) wrt o.\nAnswer: 3*o**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 14 - 6 = 0. Suppose 0 = 4*h + 5*j + 587, -n*h + 3*j - 295 = 332. What are the prime factors of (-1102)\/(-18) - (-34)\/h?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2000 (base 3) in base 15?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (177\/4)\/(66\/88).\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.853021 years in decades?\nAnswer: 0.2853021","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 3 = 7*a. Let c be 70\/21 + a\/3. Is ((-44)\/(-20) - c)\/((-4)\/5710) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*k - 524 - 3392 = 0. What is the hundreds digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the second derivative of -n**6\/40 + 3*n**5\/40 - n**4\/16 + 10*n. Suppose d(h) = 0. What is h?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 12103, 12191, 12247, 12271, 12263, 12223?\n\"Answer: -16*w**2 + 136*w + 11983","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 429 + -413 - (2 - (5 - 0)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 3 - 3 = 0. Let x = 478 + 162. Suppose -d = p*d - x. Calculate the highest common divisor of 16 and d.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -899, -1792, -2685, -3578?\nAnswer: -4471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2322, 2034, 1548, 858, -42, -1158, -2496?\n\"Answer: -c**3 - 93*c**2 - 2*c + 2418","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 7 + -8 - 0\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - 12 = -4*w, 0 = -9*w + 10*w - 3 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (2 - (5 + -2 - -3))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -546, -686, -804, -888, -926, -906?\nAnswer: -816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -15.3 and -3?\nAnswer: 45.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1994511891.\nAnswer: 3, 2309, 287933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b - b - 2*b)*(-4*b + 3*b - b)*((0 - 1 - 1)*(2 - 4 + 4) - 9 + 4 - 4).\nAnswer: -26*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 46\/1698345 and -81\/110.\nAnswer: 3396690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010110100111001 + -101110001?\nAnswer: 1010101111001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 35715 to the power of 1\/2, to the nearest integer?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j + j - 40. Let x(l) = 4*l**2 - j*l + 15 + 6*l**2 - 6*l**2 - 5. List the prime factors of x(4).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 2*a**2 + a - 3. Suppose -4*c + 0*c - 4 = 0. Let x(m) = -40. Let n(o) = 27. Let i(k) = -3*n(k) - 2*x(k). What is c*w(g) + i(g)?\nAnswer: -2*g**2 - g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12 - -6. Let v be w\/(-4)*8\/(-78). Which is the nearest to -0.1? (a) v (b) 4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (10371 - 22003 + 10642)*(5 - 5 - 1)*(-u**3 + 6*u**3 - 6*u**3) in the form z*u**2 + s*u**3 + v + i*u and give s.\nAnswer: -990","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*k - 150*k**4 + 76*k**4 + k**3 + 9*k**2 + 2 + 56*k**4 - 1 to the form l + x*k + m*k**4 + y*k**3 + s*k**2 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 6*u + 4. Let i be x(-4). Let n = i + 40. Calculate the remainder when n is divided by (-65)\/(-6) + 4\/24.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 774 a factor of 178794?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -212.5 - -213. What is the nearest to -3 in n, -4, -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -4*v**3 + 7*v**2 - v + 5. Let g(d) = -3*d**3 + 6*d**2 - 2*d + 4. Give 5*g(l) - 4*j(l).\nAnswer: l**3 + 2*l**2 - 6*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*p - 28 = 6*p. Suppose -12 = t - p*t. What is the highest common divisor of t and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 - -2) + 54\/(-105). Let k = b + -251\/70. Find the common denominator of 83\/20 and k.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2034 + -3?\nAnswer: 2031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**3 + 11*v**2 - 27*v - 13. Let p be k(-13). Suppose p = b + b - 34. Find the third derivative of -51*x**3 - 6*x**2 + 19*x**3 - b*x**2 wrt x.\nAnswer: -192","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 38*u**4 - 9*u**3 - 5*u**2 + 148*u.\nAnswer: 912*u - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*s**2 - 282850*s + 47142 = 0 for s.\nAnswer: -23571, 1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 1052206?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes after 3:25 PM?\nAnswer: 10:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 + -20. Let h(i) = i**2 + 2*i + 20. Does 20 divide h(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1c11 + -183?\nAnswer: -2094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 110 = 5*i - 0*i. Suppose 4*n = 2*n - i. Let l be 8\/44 - 185\/n. What is the highest common divisor of 68 and l?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2481 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*m - 4*m + 0*m)*(-2*m + 53*m**2 + 36*m**2 - 114*m**2) as q*m**3 + d*m**2 + b*m + f and give q.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 50533, 101072, 151639, 202246, 252905, 303628, 354427?\n\"Answer: 2*a**3 + 2*a**2 + 50519*a + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*43\/(37410\/4292)?\nAnswer: 74\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 119, -1, 1, -15 in descending order.\nAnswer: 119, 1, -1, -3, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + 22 = -2*h, -7*h = h - 4*h + 8*j + 56 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52*c**3 + 19*c**3 + 9*c**3.\nAnswer: 80*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -4 + (7 + -3)\/4. Let u = 1 - y. What is the highest common factor of u and 36?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 - 9 = -9*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 66478 - 14148. Round y to the nearest 1000.\nAnswer: 52000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 926?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*r + 3*r - 3122. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 24 + 12 = 4*w, 4*h - w = 12. Let o be h - (-3 + 2 + 3). What is the derivative of o*n**2 - 1 + 1 + 1 - 3*n**2 wrt n?\nAnswer: -2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 194 a factor of 907726?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 115056 and 104528?\nAnswer: 752","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (0 + (10 - 5) - 0).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 37958 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2\/9))**(-8) assuming b is positive.\nAnswer: b**(16\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y + 7*q - 6*q - 3068, 0 = -2*y + 4*q + 3088. Suppose r + y = 9*r. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 28 = -2*d + 7, 3*n = 3*d + 27. Let g = -616 - -617. Sort g, 0.04, d, 0.3 in increasing order.\nAnswer: d, 0.04, 0.3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 45 in 16, 5\/4, 2.6?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65*s**3 + 73*s**3 + 51*s**3 - 295*s**3 + s**2 + 104*s**3 - 3*s**2 + 40*s**3.\nAnswer: 38*s**3 - 2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -78 and 0.0170282.\nAnswer: -1.3281996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eemmmjteeteeiieptttm. Give prob of sequence pt.\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 217*i**3*z**4 - 3*i**3*z**2 - i**3 + 502 wrt z.\nAnswer: 868*i**3*z**3 - 6*i**3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 12\/(-7)*28\/(-8). Let v(r) = 2*r + 3. Let l(w) be the first derivative of 11*w**2\/2 + 17*w - 137. Determine m*l(h) - 34*v(h).\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 - 22\/(-6) - (-4)\/(-6). Let i = -3 - -3. Suppose -4*g + 7 + 17 = i. Solve j*n - g = n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6\/80407 greater than 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 62.12602 days to seconds.\nAnswer: 5367688.128","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -2535771*y - 25357714. What is c(-10)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**3 + 9*d**2 + d + 2. Let y(j) = j**2 + 9. Let k be (-1)\/(-2)*(-2 - -2). Let i be y(k). List the prime factors of p(i).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, 5541, -1\/7, 0.5, -1\/4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 110 and 36.\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6861886?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -326*t + 8. Let k be w(-1). Let s = k - 221. What are the prime factors of s?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-9)\/3*(-4)\/4. Sort 1, h, -3, 0 in decreasing order.\nAnswer: h, 1, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least 1035\/1198?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -7290*t**4 + t**5 + 2*t**2 - 2 + t + 7289*t**4 + 1 - 2*t**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -3351, -5, -4 in ascending order.\nAnswer: -3351, -5, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 286694904 to the power of 1\/3, to the nearest integer?\nAnswer: 659","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 e when two letters picked without replacement from {w: 4, o: 3, e: 1, x: 5}.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 138*1 + 10*(-3)\/6. What is the highest common factor of r and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the second derivative of -116*j + 0*j**2 - 2\/3*j**3 - 1. Let q(v) be the first derivative of -4*v**3\/3 - 1. What is q(f(t))?\nAnswer: -64*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53 = 2*f + g, -f - 5 = 4*g - 49. Calculate the common denominator of (-217)\/f - (-6)\/9 and 6\/32*(-67 + 1).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dydd when four letters picked without replacement from {y: 5, d: 9}?\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 12*t**2 - 14*t**2 - 2*t**3 - 6*t**2 + 3*t**3 + t - 3. Let v(s) = -s**3 - s**2 - 3*s - 2. Let c be v(-2). Let u be w(c). Solve u*b - 19 = 1 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 34\/38 + (-14)\/(-7) - 3. Which is the second biggest value? (a) 1\/5 (b) 11 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1003265, 1002813, 1002361, 1001909, 1001457?\n\"Answer: -452*g + 1003717","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 573 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3571 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7720, 15389, 23062, 30739, 38420, 46105?\nAnswer: 53794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*x**2 + 3622 - 3622 + 4*x**2.\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -6*y + 2. Let l(p) be the first derivative of 7*p**2\/2 - 3*p + 11. Suppose 0 = 5*c + c + 18. Calculate c*o(n) - 2*l(n).\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2694.8 + 2694.7. Which is the closest to p? (a) 6\/1955 (b) -0.1 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:20 AM and 4:06 PM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 21565 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (x - 5*x - 6*x)*(5 - 5 - 3*x) - 4*x**2 + 6*x**2 - 4*x**2 as l*x**2 + d + j*x and give l.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes before 8:36 AM?\nAnswer: 9:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1308 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: What is d in 44*d**3\/5 + 12011*d**2 - 127157*d\/5 - 35542\/5 = 0?\nAnswer: -1367, -1\/4, 26\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -870 at most -5225\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 535512.1 minutes?\nAnswer: 32130726","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (12\/(-10))\/((-5)\/25). Suppose -35 = g - a*g. Calculate the highest common factor of 1 and g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 7 - 9)*(w + w + 2*w**3 - 5*w**3)*(-2*w + 0*w + 4*w).\nAnswer: 36*w**4 - 24*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, o: 2, r: 1}. What is prob of sequence roo?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-15 - (-400)\/25)*(-7 - -66)\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -74 + -11 + (-256 - -258).\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 416 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 6*0.21191\nAnswer: 1.27146","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17479355*d - 17479355*d - 3*d**3.\nAnswer: -3*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*z - 7*z**2 + 2 + 11*z**2 + 0*z**2 - 5*z**3 to d + x*z + t*z**2 + q*z**3 and give t.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*a - 189*a - 189*a.\nAnswer: -342*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes after 11:32 AM?\nAnswer: 7:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3455044045.\nAnswer: 5, 17, 1093, 37189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 57419 or 57425?\nAnswer: 57419","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24934 = -231*v + 218*v. Does 53 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5\/142307 or -2.5?\nAnswer: -2.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -149\/51590 and -47\/693?\nAnswer: 464310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -6*d**3 + d**2 + 4*d + 5. Determine b(-2).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -445237*j**3 - 449685*j**3 + 294359*j**3.\nAnswer: -600563*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*m**3 - 1 + 25*m**2 + 5*m**3 + 0 to the form b*m**3 + r*m**2 + n*m + f and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and -31.3.\nAnswer: -125.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l. Let s(n) = 3645*n**2. What is w(s(x))?\nAnswer: -3645*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 86.748 + -0.748. Which is the biggest value? (a) u (b) -2\/11 (c) -0.3 (d) -15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**2 - 17*i + 25. Let w be h(16). Suppose 19 - 1 = w*a. Sort 1, a, 4.\nAnswer: 1, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -10628843*f**2*o**2*q - 6*f**2*o**2 + 5*f**2*o + 2*f*o**2*q - 121*f*o + 2*o**2 wrt q?\nAnswer: -10628843*f**2*o**2 + 2*f*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Round 6.556 to 1 decimal place.\nAnswer: 6.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -388*x**4 + 4*x - 9*x**2 + 162*x**4 + 2 + 233*x**4 to the form m*x + h*x**3 + d*x**4 + y*x**2 + s and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 27509 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.198961g in nanograms?\nAnswer: 2198961000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the second derivative of 7*r**3\/6 - r**2\/2 - 18*r. Let z be y(5). Find the second derivative of -z - 4*l**3 + 18 + 16 + 11*l wrt l.\nAnswer: -24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (7\/((-126)\/(-4)))\/((-1)\/6). Let n = 13\/9 - 100\/63. Sort n, 0, o in descending order.\nAnswer: 0, n, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 f when two letters picked without replacement from ffffofffffofffffoof.\nAnswer: 20\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -r**3\/2 - 27*r**2\/2 + 404*r + 1320 = 0.\nAnswer: -44, -3, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 24.8 or -31?\nAnswer: 24.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 368108 and 167?\nAnswer: 61474036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -46.67486236 rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1927 + -5799.\nAnswer: -7726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 40 = 38. Suppose 0 = -24*r + 20*r - a - 13, 0 = -z*r - 4*a - 10. Put r, -1, -6, -8 in ascending order.\nAnswer: -8, -6, r, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13470?\nAnswer: 2, 3, 5, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.8 + 0.033608221647.\nAnswer: -0.766391778353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30 - 31) + 29 - -2.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 h when two letters picked without replacement from hyhyhhzy?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(5*(-3*(1 + sqrt(108)) - (sqrt(108) + ((sqrt(108) + 2 + sqrt(108) + sqrt(108))*3)**2)) + -2).\nAnswer: 10080*sqrt(3) + 131811","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/(-10))\/(1620\/1800). What is the second smallest value in 0.5, t, 2\/81?\nAnswer: 2\/81","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1294984?\nAnswer: 2, 161873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 123390985 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (6*5)\/((-29)\/(-203)). What is the highest common factor of y and 70?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 6*p = -9. Let t = p + 8. Let u(h) = -2*h + 6. Let q(d) = -2*d + 5. Calculate t*q(c) - 4*u(c).\nAnswer: -2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 676*n**2 - n. Let l(h) = 11541*h**2. What is i(l(f))?\nAnswer: 90039604356*f**4 - 11541*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 366785.\nAnswer: 5, 109, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 17*o**2. Let d(l) = 18*l**2. Let c = -1004 + 999. Give c*n(u) + 4*d(u).\nAnswer: -13*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -130311.857 rounded to the nearest ten thousand?\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 - (3 + (2 - 4)). Let d(g) = 10*g**3 - 5*g**2 - 5. Let a(t) = 11*t**3 - 6*t**2 - 6. Let f(j) = -5*a(j) + 6*d(j). Calculate f(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y - 21. Let m(a) = -a - 10. Calculate -6*b(o) + 13*m(o).\nAnswer: -7*o - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -51, -188, -453, -876, -1487, -2316, -3393?\n\"Answer: -5*f**3 - 34*f**2 - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.4894968 litres?\nAnswer: 489.4968","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t + 18 = 3*t + 12. Which is the smallest value? (a) 2 (b) t (c) -133 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -102908 times 0.4?\nAnswer: -41163.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 83 divide 261078409?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 15, -7, -53, -129, -241, -395, -597?\n\"Answer: -h**3 - 6*h**2 + 3*h + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -736.649+-178.9192\nAnswer: -915.5682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 2 + 1)*(68026*n**3 + 4*n**2 - 4*n**2 - 64949*n**3) as d*n**2 + o*n**3 + y + t*n and give o.\nAnswer: -6154","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 494435842 and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 7) to base 9\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1534 - 1146 = -5*q. What is the hundreds digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 25, 54, 123, 250, 453, 750, 1159?\n\"Answer: 3*u**3 + 2*u**2 + 2*u + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (52\/130)\/((-2)\/40). Is 3 a factor of 178\/16 + 1\/p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -5*y + 20. Give i(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 6983 (base 10) to base 2\nAnswer: 1101101000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**2 - 319*a + 8035. Calculate p(292).\nAnswer: 151","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 71*z - 283*z + 1908 for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ugzgjj. What is prob of sequence gzj?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-338)\/20 - (923\/(-142))\/((-195)\/3)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 2*x**2 - 18*x - 14. Let t(q) = -q**2 + 9*q + 7. Let s be (-15)\/(-3 + 0) + 0. Let r(p) = s*t(p) + 3*j(p). What is the units digit of r(10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 8*c**3 - 9*c**2 - 46*c + 190. List the prime factors of o(11).\nAnswer: 3, 13, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, n: 1, v: 5, i: 3, j: 4}. What is prob of picking 2 l, 1 i, and 1 v?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let f = 849\/7 - 121. What is the third smallest value in -0.1, f, -0.4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*o + 0*o - 3*w + 79 = -6*o, 2*w - 56 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -206652.8 - -206653. Suppose d - 4*i = 21, 3*i + 20 + 16 = 3*d. Put -0.5, d, p in decreasing order.\nAnswer: d, p, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00146036877 rounded to 5 decimal places?\nAnswer: 0.00146","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 - 10*j**2 - 12*j - 2. What is k(11)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 3*h - 24, -2*h = -12*r + 8*r - 24. Let t = -4 - -9. Which is the second smallest value? (a) r (b) t (c) -3 (d) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(3\/2)\/(k*k\/(k*k*k\/(k*k*k**(-6)))))**(-23\/2)\/((k**(-4\/5)\/((k**(-3\/5)*k)\/k*k))\/(k**(-5)*k*k**(-1\/5))) assuming k is positive.\nAnswer: k**(-311\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1.4, -0.054, -3, -6\/5?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1\/(1\/(-7)) + (7131 - -632)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 158304 is divided by 113.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**3 + 3*u**2 + u - 1. What is f(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1335 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.13, -0.1, 3, 18, -225\/4, 5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -23 + 38. Let b be 3\/((-135)\/66) - 2\/c. Let k be (-4)\/2*18\/36. Which is bigger: b or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a millimeter in micrometers?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -32, 0.06, 2, -1.65?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3361729.\nAnswer: 7, 97, 4951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -33*l**2 + 8*l. Let o(k) = -16*k**2 + 4*k. Let q(a) = -5*o(a) + 2*w(a). Find the second derivative of q(d) wrt d.\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -2*m - 25. Give w(-14).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence krxx when four letters picked without replacement from {r: 4, k: 4, x: 6}.\nAnswer: 20\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 800141?\nAnswer: 31, 53, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p - 8*p + 2 = 0. Let b be (-5)\/(-1) + -1*(p + 1). Let m = 147 + -123. Solve 3*i + i = -4*x + m, 0 = -b*i + x + 6 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 30510.93 to the nearest 1000.\nAnswer: 31000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 31\/6 or 6?\nAnswer: 31\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the second derivative of -105\/2*f**2 + 5\/3*f**3 - 116*f + 1\/10*f**5 + 1 + 0*f**4. Differentiate s(h) wrt h.\nAnswer: 6*h**2 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9360680*z = 9360487*z - 6176 for z.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1\/2)*m**(-2\/5))\/(m**(-1\/3))**(-13) assuming m is positive.\nAnswer: m**(-157\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 63517?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 2*f. Let n(j) be the third derivative of -57*j**4\/8 + 5*j**3\/6 + j**2 - 406. Determine n(c(i)).\nAnswer: -342*i + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -48 divided by 2715668?\nAnswer: -12\/678917","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -50649*h**4 - 413*h**2 - 333188622.\nAnswer: -202596*h**3 - 826*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 24130 to the power of 1\/3, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m\/(m*m**(-29)\/m)*m*m)\/m**22 assuming m is positive.\nAnswer: m**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 99160?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**2 + t**2 + t**2 + t. Let j be u(-1). Suppose 0 = -v - j*n + 35, -4*v + 38 + 92 = 3*n. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (12\/3)\/(52\/(-91)). Let x(f) = -8*f**2 - 16*f**3 - 4*f + 15*f**3 + 0*f. Give x(c).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -758*m + 1566*m - 5 - 722*m as d + x*m and give x.\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z**3 + 2*z**3 + 9*z**3)*((1 + 0 - 2)*(0*z**2 + 3*z**2 - 2*z**2) - z + z - 2*z**2).\nAnswer: -36*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -3*x**3 + x**2 - x - 2. Let i be o(-1). Suppose i*y - 2*y = 0. Let u = 6.5 + -6. Which is the third biggest value? (a) -3 (b) u (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -37 - -21. Let w be (-14)\/(2\/(4\/(-1))). Let g = w + p. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccsq when four letters picked without replacement from {q: 1, s: 2, u: 1, z: 1, c: 2}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 + (-3 + -4)*-2. Let w be j\/49 - 30\/7. Let n = w + 8. Solve -n*q + 3*z = -32, 4*q - 3 - 37 = 5*z for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of ((-18)\/(-21))\/(66267\/(-11046) - -6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 42 or 96?\nAnswer: 42","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than -1\/1008344?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 1, 17 in increasing order.\nAnswer: -8, 1, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 2*i**2 + 76*i + 96. Let a be l(-37). Is 32 less than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/8, -0.4, 14.1, 2.3, 14?\nAnswer: 14.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*u + 37*u + 23*u - 42*u in the form v*u + n and give v.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 246*v = 3288 + 648 for v.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8*c**3*z**3 + c**3*z**2 - c**3*z - 867*c**3 + 9*c**2*z**2 + c*z - 23194*z**3 wrt c?\nAnswer: -48*z**3 + 6*z**2 - 6*z - 5202","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 2*j)*(28 - 28 - 113*j - 663*j).\nAnswer: -1552*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 divided by -58100?\nAnswer: -37\/11620","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -5*b**3 + 1640*b**2 + 425215*b + 4083150 = 0.\nAnswer: -163, -10, 501","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 636468936 to the power of 1\/2, to the nearest integer?\nAnswer: 25228","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 27*g**2*k - 247*g**2 - 2*g*k wrt k.\nAnswer: 27*g**2 - 2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 9 = -0*m - 3*m, -i - 1 = -4*m. Let g(l) = 23*l**3 - l**2 + 2*l - 1. Calculate the remainder when 44 is divided by g(m).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2736250337 plus -0.0191?\nAnswer: 2736250336.9809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -476, -2039, -4748, -8609, -13628, -19811, -27164, -35693?\n\"Answer: -o**3 - 567*o**2 + 145*o - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 60619721465 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 10809 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 w(h) be the third derivative of -h**6\/90 - h**5\/45 + h**4\/9 - 7*h**2. Determine t, given that w(t) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -11 + 5*t + t**3 + 6*t**2 + 11. Let h = -1 + 4. Suppose 3*q = -3*z - 3, 0 = -q - 4*z + h + 8. Calculate g(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + t - 8 = 0, t - 5 = n + 2*n. What is the least common multiple of 10 and (-1 + 7)*n\/(-2)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*a**5\/5 + 936*a**4\/5 - 80493*a**3\/5 + 428472*a**2 - 412560*a = 0. Calculate a.\nAnswer: 0, 1, 60, 191","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 215 - 197.2. Let q = 18 - s. Sort q, -5, 0.1 in increasing order.\nAnswer: -5, 0.1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3916.\nAnswer: 2, 11, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 + 8*d + 70*d**2 - 68*d**2 + 36 = 0. Calculate d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w = -3*r + 19, 3*r = 3*w - 13 - 8 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28)\/56*(12535\/218)\/((-10)\/(-8))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 47*z**2 + 43*z - 9. Let p(n) = 25*n**2 + 21*n - 5. Determine -4*f(k) + 7*p(k).\nAnswer: -13*k**2 - 25*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -62 - -62. Let h = -0.0684 - -0.2684. Which is the smallest value? (a) g (b) 37 (c) 1\/11 (d) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6194 and 655586?\nAnswer: 326","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.8461 rounded to zero dps?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 23 - (87 + -110 - -22).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -97*x - 499. Determine b(-5).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 136 - 116. Let y be 708\/(-15) + 4\/g. Which is bigger: y or -46?\nAnswer: -46","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 404\/7*k + 4\/7*k**2 - 408\/7.\nAnswer: 4*(k - 1)*(k + 102)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes before 6:43 AM?\nAnswer: 2:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 + 9. Is d + (-2 - 1) + 10 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -114*v**4 + 226*v**4 + 3*v - 102*v**4 + v**2 - v**3 in the form a + d*v + x*v**2 + t*v**4 + k*v**3 and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -193498273215 - -0.06.\nAnswer: -193498273214.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 0, 1\/3, -5, 2\/3, 614?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -112+-59\nAnswer: -171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-125)\/(-375) - 1\/(-6).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 110*j**3*r + j**3*x - 51801*j**2*r*x + 2*j**2*x**2 + 270*j*r wrt x.\nAnswer: j**3 - 51801*j**2*r + 4*j**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -106 + 97. Sort j, 2\/5, -5\/4.\nAnswer: j, -5\/4, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 328093 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 at most -2\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) 2\/35 (c) 0.035\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 168, 353, 538?\n\"Answer: 185*z - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 796908419 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i - 8. Let k be a(-5). Let r(z) = 26*z**2 + 5*z + 4. Is r(k) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the second derivative of -13*u**4\/12 - 46*u**3\/3 - 9*u**2\/2 - 36*u + 13. Determine a(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 292, 551, 810, 1069, 1328, 1587?\nAnswer: 1846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = 4*m. What is the third derivative of 4*o**6 - o**2 + m*o**2 - 2*o**2 - 3*o**6 wrt o?\nAnswer: 120*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7997?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22897?\nAnswer: 7, 3271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - (4 + -2 + -9)) + -7\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - (-32)\/((-2400)\/(-685)).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 2*m = -410, -2*x - 5*m + 4*m + 273 = 0. What is the remainder when x is divided by 62?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 5 - 6)*(-8*d + d + 0*d)*(d - 6*d + 3*d).\nAnswer: -154*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-72)\/48*(-4)\/(-6))\/(4\/(-16)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**2 - 2*b - 1. Does 7 divide z(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) -0.0827 (c) 5.29 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b when three letters picked without replacement from {b: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + (362\/70 - ((-8 - 47) + 48))?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10563 and 105?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -654 - -494. Let p = m + 160.01005. What is p rounded to 3 dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 40 and 80.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 5*y**4 + 7755*y**3 + 1636735*y**2 - 7755*y - 1636740 = 0.\nAnswer: -1299, -252, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:23 PM and 4:18 PM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*g + 12*g - 40*g - g + 690.\nAnswer: -17*g + 690","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 2*o + 3*x - 4 = 0, 0 = -o + x. Suppose -9 - 1 = 2*n. Sort o, n, 3.\nAnswer: n, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**38\/a*a*a*a\/(a\/(a\/(a*a**(-4\/7)\/a))))\/((a**11\/a)\/(a**(-19)*a)) assuming a is positive.\nAnswer: a**(95\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hudgdhzhzzzzhxdduguh. What is prob of picking 1 x, 1 u, and 1 g?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 3*p - 10. Give l(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/a**43*a**(-26\/7) assuming a is positive.\nAnswer: a**(-320\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4041.08 + 35.92. Let q = -3676.9 + v. What is q rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**2. Let u(r) be the second derivative of -r**4\/4 + r. Let i = -8 + 12. What is i*u(j) + 11*z(j)?\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the first derivative of u**3 - 5. Let b(n) be the first derivative of 2*n**3\/3 - 2. What is -4*b(d) + 3*x(d)?\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than 9636\/29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + 8. Let k(h) = -h**3 + 10*h**2 + 2*h - 19. Let v be k(q). Let a(m) = m. Let y(s) = 3*s - 3. Calculate v*y(g) - 4*a(g).\nAnswer: -g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h = w + 20 - 13, 3*h + 5 = -w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = -4*x + 5*y, 0 = -536214*x + 536221*x + y + 10 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (100\/12 - 3 - (7 - 3))*6\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*d**3 + 162*d**3 - 86*d**3 - 144*d**3.\nAnswer: -49*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -124 < -624\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.05, 0.04, 84, -14, 1\/11 in decreasing order.\nAnswer: 84, 1\/11, 0.05, 0.04, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -3*r + 32. Calculate g(11).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 211*c**3*j*r**3 + c**3*j*r + c**3 + c**2*j - c*j*r**3 - 114*c*r wrt r.\nAnswer: 1266*c**3*j*r - 6*c*j*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 135 + -130. Let j = -12 + 17. Solve f*n + j = -0*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -1 + 3*s**3 - 6*s**3 + 38*s**2 + 5*s**3 - 19*s + 18*s + 0. Determine o(-19).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.099 - -1.079. Let j = g + 0.02. Let r = 33.76 - 34.06. Sort -1, j, r in decreasing order.\nAnswer: j, r, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3362634 and 888.\nAnswer: 13450536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 49753.81824 rounded to the nearest ten?\nAnswer: 49750","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**3 - 96*y**2 + 166*y + 920. What are the prime factors of s(-99)?\nAnswer: 17, 19, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8335\/8 + -1049. Find the common denominator of n and -31\/108.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -49 + 54. Suppose -3*u + l*x + 60 = 0, -2*u + 40 = 3*x - 0. Solve 4*k + u = -k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 492 - 194. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g**2\/2 + 67*g\/2 - 219 = 0.\nAnswer: -73, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 901 and 212?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5430 is divided by 873.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -3*s**2. Let p(a) = a + 1. Let x(q) = -q - 6. Let g be x(-5). Let i = 14 - 6. Let b(r) = 10*r + 8. Let f(d) = g*b(d) + i*p(d). Give j(f(c)).\nAnswer: -12*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the first derivative of -66*j**6 - 84*j**5 + 273*j**4\/4 + 72*j**3 - 87*j**2\/2 - 6*j + 447. Solve a(r) = 0 for r.\nAnswer: -1, -2\/33, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -18*z + 2531300. Round z to the nearest 10000.\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**3 + 7*y**2 - 17*y + 15. Let n be 1\/(-2)*-18*(-2 - -1). Let j be w(n). Solve -j*v + 25 = -v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q - q. Let z(u) = u + 1. Let x be z(2). Suppose -4*j = -2*j - 12. Solve j = -x*o, -o + q - 5 = l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5239 a factor of 194890800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3\/(-6))\/(1\/(-4)). Suppose -20 = -2*f + x, -b*f + 5*x = 5 - 17. Calculate the greatest common factor of 11 and f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from jyjjyjyjjyjyjjyjjj?\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 3, -1, -9 in descending order.\nAnswer: 3, -1, -9, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 114 a factor of 1557468?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 3214, 17530, 41382, 74764, 117670, 170094?\n\"Answer: -w**3 + 4774*w**2 + w - 1560","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -25.5 - -3?\nAnswer: -22.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wu when two letters picked without replacement from {u: 6, w: 7}.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -126288 by 72.\nAnswer: -1754","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 15212756 a multiple of 221?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 36*t. Let s(x) = -6*x**2. Determine j(s(q)).\nAnswer: -216*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*t**2 - 8*t + 8*t - 7*t**2.\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 5*p**2 + 102*p - 644. Determine z(5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -13 + 0 + 6*g - g**2 + 6*g. Calculate the remainder when 40 is divided by j(9).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2446 = -3*i + 1700. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p**2 - 2*p**2 - p**2)*(-41 + 22 - 51).\nAnswer: 140*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -37.8 + 34. Let f = 4 + z. Let r = -11 - -6. Sort 1, r, f in descending order.\nAnswer: 1, f, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 124092418, 248184837, 372277256?\n\"Answer: 124092419*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1001\/(-28) + (-1 - (74\/888)\/((-2)\/18)).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 58 = -2*a + 5*a, 0 = 4*a - j - 69. Is a even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -313*j + 2227. Determine v(7).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 56\/35*(-10)\/(-4). Suppose 2*x + j*i + i - 45 = 0, -4*x + 20 = -4*i. What is the second derivative of -810*n**3 - 3*n**4 + 810*n**3 - x*n wrt n?\nAnswer: -36*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 + 24\/2 + -3. Let w(z) = -2*z - 2. Let l be w(-2). Let g = l + 9. Solve -r = m + 3*m + 4*q, 0 = -3*m + 2*q - g for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.18, -1, 1, -55, 0.1 in descending order.\nAnswer: 1, 0.1, -0.18, -1, -55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 27909 and 16045017?\nAnswer: 1329","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(((-1*sqrt(22))\/sqrt(2) - sqrt(33)\/sqrt(3)*-4) + -4).\nAnswer: -4 + 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 95*(-22)\/440*4?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 20 + -5. Let h = 20 - y. Suppose 0 = -5*k + h + 70. What are the prime factors of k?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 212*r**6 + 2*r**2 - 3 wrt r.\nAnswer: 25440*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-6)*(-243)\/(-1782)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.67, -0.3, 2, -0.6.\nAnswer: -0.6, -0.3, 0.67, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 261998662?\nAnswer: 2, 17, 71, 108533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -10627 + -6?\nAnswer: -10634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 35*h**2 + 3300*h - 65. Let m(f) = -6*f**2 - 550*f + 10. Determine 2*a(c) + 13*m(c).\nAnswer: -8*c**2 - 550*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (585\/(-6))\/(((-522)\/72)\/29) and 15.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 21977\/51 - 431. Let t = m - -373\/204. Suppose 3\/2*w**2 - 3\/4*w**5 + t*w - 2*w**4 - w**3 + 1\/2 = 0. What is w?\nAnswer: -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -4\/31?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes before 10:36 AM?\nAnswer: 9:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*j**4 - 296*j**3 - 5472*j**2 + 296*j + 5476.\nAnswer: -4*(j - 1)*(j + 1)*(j + 37)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/44 and 17\/4961.\nAnswer: 19844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 610592761 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12001?\nAnswer: 11, 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 6124, 12250, 18378, 24508, 30640, 36774, 42910?\n\"Answer: v**2 + 6123*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 428109767 and 11039?\nAnswer: 1577","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 140bc41 (base 14) to base 7\nAnswer: 145364011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 133306 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3172 - -11316?\nAnswer: 6124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 12*y. Let j(d) = -5*d**2 + 2*d. Let r(s) = -12*s**2 + 5*s. Let p(c) = 5*j(c) - 2*r(c). Give p(z(g)).\nAnswer: -144*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -19*c**3 - c**5 + 2 + 2*c**2 + 23*c**2 + 2 + 7*c**4 - 16*c = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2, -63, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5910 + 28229. Suppose -h - 4*y + 2*y + 11369 = 0, 0 = -3*h + 2*y + j. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.061 + 0.266. What is s rounded to 2 decimal places?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**3 + 17*q**2 - 43*q + 7. Calculate the remainder when 957 is divided by s(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1748\/(-4940) + (28\/13 - 10\/5).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -35946 + 35950. Let b(o) be the first derivative of 0*o**3 - 4\/5*o**5 + 0*o - 19*o**2 + 0*o**w + 12. What is the second derivative of b(n) wrt n?\nAnswer: -48*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 631 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 62 + 5?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2592 and 1376?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*(1006 - 8)*(-3)\/6. Let h = i - -494. Sort h, 4, 57 in ascending order.\nAnswer: h, 4, 57","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 4*q - 16. Calculate b(10).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -626.7 to the nearest 10.\nAnswer: -630","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((-4*(1 + sqrt(432) + 1*sqrt(432) + sqrt(432)) + 1*sqrt(432)*1*-4)**2 + 5) + 2.\nAnswer: 6144*sqrt(3) + 442454","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 15204 = -d + 48208, 4*g = 4*d - 131944. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 453958032?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -k - 1, 17 = 5*x + k. Suppose -2*d + s + 76 = 2*d, -s - 58 = -x*d. What are the prime factors of d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.054 (b) 10\/3 (c) -0.5 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -1622.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-182)\/(((-12)\/(-24))\/(74\/(-4))). Differentiate u + 14*x**4 + 3*x**4 - 6766 + 53*x**4 with respect to x.\nAnswer: 280*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 11*v - 90. What is f(-11)?\nAnswer: -211","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 45943 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 33 = -2*p - 3*m, p + 2*m = -16. Let j(z) = 7*z**2 + 7. Is j(p) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 71*a**5*g**3 - 2*a**3*b*g - 4*a**3*g - 3*a**2*b*g**3 - a**2*b*g - 2*a**2*g**3 - 17*a*b*g**3 + 12*b*g**2 wrt a.\nAnswer: 4260*a**2*g**3 - 12*b*g - 24*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t - 12 + 12 + (-1 + 2 + 0)*(1 - 1 + 2*t) + 2 - 2 - 2*t + 53*t - 96 + 96)*(-t - 5 + 5).\nAnswer: -54*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, -5, 3, 2 in decreasing order.\nAnswer: 5, 3, 2, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(1*8\/12). Let r = c + 7. Let w(m) = -m**3 + 5*m**2 - 7*m + 6. What is w(r)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12307b (base 13) to base 7.\nAnswer: 3461352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 4 = -8. Let c be (-4 - j) + 17300004 - 3. What is c rounded to the nearest 1000000?\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -187826050, -187826057, -187826068, -187826083?\n\"Answer: -2*w**2 - w - 187826047","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 6 + 14. Let f be (-6)\/(-4) - (540\/(-8))\/9. Suppose 3*u = l + 7, 2*l + f = 5*u - 1. Calculate the remainder when c is divided by u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -53 - -52. Put -0.4, 0.1, n, -0.06 in descending order.\nAnswer: 0.1, -0.06, -0.4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28743 is divided by 2872?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 63 divided by -3\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -37*c - 7*c + 44. Let p(o) = 3*o**2 + 5*o. Let r(k) = -k**2 - k. Calculate c*p(g) + 4*r(g).\nAnswer: -g**2 + g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, j: 2, x: 1, d: 1}. Give prob of sequence jgd.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9475 - -9550 - (134 + 0).\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*h - 5*l + 46, -117 = -13*h - 5*l - 38 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:05 AM and 4:05 PM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.5348 rounded to 2 decimal places?\nAnswer: 2.53","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*o - 13*o + 3*o)*(-o**4 + 2*o**4 + o**4 + 2*o).\nAnswer: -36*o**5 - 36*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -314437989020 - -102\nAnswer: -314437988918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -10356683 + -5?\nAnswer: -10356688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7*(-4)\/6)\/((2\/20)\/((-2082)\/1388)).\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 56 + 7 + -4 + -28?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -1287*d**2\/2 - d = 0. Calculate d.\nAnswer: -2\/1287, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**3 - 7*n**2 + 3*n + 6. Give u(7).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*t**4\/5 - 14498*t**3 + 13048478*t**2\/5 - 1700742*t\/5 = 0.\nAnswer: -1739, 0, 3\/23, 163","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 384*u + 399*u - 1179*u - 7289 + 7289 + 394*u.\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, 0, 3, 2, 9360, -61\/3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -2*w - 2. Let t be x(-2). Suppose t*j - 4 = 2. Suppose j*b - 8*b + 235 = 0. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((45\/(-6))\/(105\/805)).\nAnswer: 2\/115","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20 + 1152*l - 1154*l - 15 - 20.\nAnswer: -2*l - 55","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4903? (a) 0.1 (b) -1 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 319597 and 17534?\nAnswer: 797","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 94388943 to the nearest integer?\nAnswer: 9715","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, 1.11, -96, -306?\nAnswer: -306","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -9*a*c**2*m - 5*a*c*m - 2*a*m + 401*c*m + 16851*m wrt c?\nAnswer: -18*a*c*m - 5*a*m + 401*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51465*u - 51384*u = 5*a + 461, 0 = -4*a + u + 14 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -296553 + 1186213\/4. Let u = 2.1 - 1.885. What is the third smallest value in -1\/3, b, u?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*v - 8296 = 2434. Suppose 0 = -4*x + v + 7619. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 g when two letters picked without replacement from hgghgggggggggghggggg.\nAnswer: 51\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*(b\/(b*b**(-2)\/b))\/b)**(27\/5)*(b*b\/(b*b**(1\/7)\/b)*b*b*b)\/(b*b**(-1)*b) assuming b is positive.\nAnswer: b**(702\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 17\/2 of a minute?\nAnswer: 510","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 353591 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 7\/8 of a meter?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*o + 0*o - 40*o**2 + 45*o**2 to b*o**2 + p + f*o and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 + 4*m**2 - 4*m + 1. Calculate o(5).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-22)\/u*u)\/(u\/u**31*u) assuming u is positive.\nAnswer: u**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + 2. Suppose r = -2 - w. Calculate the remainder when 224\/10 + r\/10 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l - y + 329, 321 = l - 0*l - 3*y. Let s be l\/5 + (-1)\/((-10)\/6). Suppose 0 = -z - 10*z + s. Calculate the remainder when 16 is divided by z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*t - 41*t = 2212. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2621 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -859, 6, 5.\nAnswer: -859, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -812 - -811. Let z = 0 - -0.6. What is the closest to u in 2\/9, 5\/3, z?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*l - 5*l - 8 = -2*z, 16 = 4*l + 4*z. Which is smaller: 1341 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (8 + -7)*-1 + 2 + 2. What is the thousands digit of 0\/h - 3 - 2010\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes after 9:35 AM?\nAnswer: 12:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 109 + -120. Let m(z) = 6*z + 69. Let t be m(l). Let u be (6 + 0\/t)*(-1)\/(-3). Solve 8*q = u*n + 3*q - 15, -12 = 4*q for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 84 + -69. Let c be (-1 - (1 + -2))\/2. Suppose -3*m - 2*x + 129 = c, -m - 2*x - x = -36. Calculate the highest common divisor of d and m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 58 + -80181.\nAnswer: -80123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 33*(0 - 1*6). Let w be (6\/(-9))\/(2\/v). Let o = w - 38. Does 14 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(2 + -4*(-4*-2*sqrt(360))\/(-2*sqrt(24)\/sqrt(3) + sqrt(8) + (sqrt(80)*-2)\/sqrt(10))).\nAnswer: 6 + 96*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2211 (base 3) to base 4.\nAnswer: -1030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 2*g + 18. Let m be 16\/72 - (-68)\/g. Solve m*d - 2 = 2*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 4*f**2 - 517*f + 67. Give g(0).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -8989 divided by -595?\nAnswer: 8989\/595","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/9)\/((-18)\/(-27))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10237?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes before 7:20 AM?\nAnswer: 12:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3303?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -38*b + 77*b - 32*b as j*b + k and give j.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 238632 by -488.\nAnswer: -489","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add -1611 and -0.005228.\nAnswer: -1611.005228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 996588811 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**2 - 16*i - 34. Let b be m(36). Suppose 10 = 2*c, -4*c + 688 = 2*v - b. List the prime factors of v.\nAnswer: 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1290 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 21 (b) 2\/21 (c) 3\/7 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**3 - 8*z**2 + 6*z + 7. Suppose 35 = -0*w + 5*w. Let i be y(w). What is the units digit of 12 + -3 + i + -3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*j - 146 = 19. Suppose -j*z = -6996 - 14784. List the prime factors of z.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -143*c + 66. Let h(l) = 10 - 10*l - 2 + 0*l - 8*l. Let u(k) = -33*h(k) + 4*x(k). Let p(w) = 4*w**2. Give u(p(n)).\nAnswer: 88*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes before 8:39 AM?\nAnswer: 2:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2*2*157542\/6324. Is -99 < p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/7 + 3\/14. Let j = 0.28 + 0.02. Let d = -1.05 - -0.05. Which is the closest to w? (a) 0 (b) j (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 190384 and 1956?\nAnswer: 652","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5727, -11450, -17175, -22902, -28631, -34362?\nAnswer: -40095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1239, 1227, 1201, 1155, 1083, 979?\nAnswer: 837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 30\/1575*5 - 28255\/105. Which is smaller: s or 8?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.743068 millimeters to micrometers.\nAnswer: 743.068","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 - (-9)\/(-4))*(-500)\/25. Differentiate -w*f + 64*f + 22*f + 61 with respect to f.\nAnswer: 61","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 44 + -53 + (-2 + 0 - -7) + -8.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5115 - -12080. What are the prime factors of k?\nAnswer: 5, 7, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5578 + 2792 - 2805*x**4 + 6264*x**4 wrt x?\nAnswer: 13836*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.06, -4, -5 in ascending order.\nAnswer: -5, -4, -0.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*c = -100*c - 14*c - 107*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.2 + 0.7. Let n = 21 + -22.5. Let j = n - z. Which is bigger: j or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02214 to three dps.\nAnswer: 0.022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.892685 milliseconds in seconds?\nAnswer: 0.003892685","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**2 + 6*z + 5. Let w be s(5). Let c be w\/(-4) - (-3)\/(-6). What is the lowest common multiple of (-5)\/c - 2\/3 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**3\/2 - 51*f**2 - 93*f\/2 + 99.\nAnswer: -3*(f - 1)*(f + 2)*(f + 33)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -9*j**2. Let f(t) = -3*t**2 + 3*t**2 + 3*t**2. Give -4*a(s) - 11*f(s).\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -67*v**3 + 8*v - 17*v + 5*v + 6 wrt v.\nAnswer: -402*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the first derivative of -3\/5*p**5 - 9\/2*p**4 + 9*p**2 - 11 - 8*p**3 + 27*p. Factor q(u).\nAnswer: -3*(u - 1)*(u + 1)*(u + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**2 + 6*d + 6. Give a(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjnf when four letters picked without replacement from {j: 4, n: 5, f: 3}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1\/61 - 65\/244. Which is the second biggest value? (a) t (b) 4 (c) -1 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2098151 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 85*x - 5 - 8 - 182*x + 84*x.\nAnswer: -13*x - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 220 a factor of 43193347?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 4) to base 2\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 102483?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:27 AM and 10:04 AM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 102, 159, 254, 399, 606, 887?\nAnswer: 1254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.34429*2\nAnswer: 0.68858","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -5*x**3 - 4*x**2 - 7*x - 6. Let p(i) = -4*i**3 - 3*i**2 - 6*i - 5. Let h(r) = -r**3 - 5*r**2 - 5*r - 10. Let n be h(-4). Determine n*p(u) + 5*z(u).\nAnswer: -u**3 - 2*u**2 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2284 + 2291. Sort n, 2, -2\/3, -12 in ascending order.\nAnswer: -12, -2\/3, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3 - 385\/(-99))\/(-4). Which is the closest to 2? (a) h (b) 3 (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -184446*x + 13*x**3 + 184446*x.\nAnswer: 13*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 13*m. Let f(j) be the first derivative of 4*j**3\/3 + 11. What is h(f(a))?\nAnswer: 52*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -29*s - 1. Let p be d(1). Let n be 1*(21 + 0)*(-10)\/p. Differentiate f**4 + 9 + n - 18*f**4 wrt f.\nAnswer: -68*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 939 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -3*g - 4125, v - 2*g = 549 + 269. Calculate the lowest common multiple of 102 and v.\nAnswer: 14076","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -16688712, -33377425, -50066138, -66754851, -83443564?\n\"Answer: -16688713*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2\/19 + 502*u\/19 - 500\/19.\nAnswer: -2*(u - 250)*(u - 1)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1675491 (base 12) to base 16.\nAnswer: -46b36d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.17*-12020.\nAnswer: 2043.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(684) + (2*sqrt(684) + sqrt(684) + 5 + sqrt(684) - sqrt(684))**2 - -4*(sqrt(684) + sqrt(684) + -2 - sqrt(684)).\nAnswer: 210*sqrt(19) + 6173","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -144.418 and 0.7.\nAnswer: -101.0926","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:57 AM and 5:57 PM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3817 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-110)\/(-6))\/11 + (-34)\/(-54)*-3. Suppose -3*x + 25 = 2*x. What is the nearest to 3 in x, -4, 2, p?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 179c + -4?\nAnswer: 1798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5546?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 12 - (4 - -2 - -1). Solve -t = -2*t + c for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38147631227 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -427 = 24*c - 1483. What is the lowest common multiple of c and 108?\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mnmnmmmmmmmmdmdmdndm. Give prob of sequence mnmm.\nAnswer: 143\/3230","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(2\/5))**(-25))**(-3\/10)\/(((r\/(r**(-1)*r)*r)\/r*r)**(-1\/50)*r**(-6)*(r**(-1\/5)*r)\/r*r*r) assuming r is positive.\nAnswer: r**(737\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 777413489 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5175760 is divided by 3957.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8941570, -17883139, -26824708?\nAnswer: -35766277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 40536549 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(-10))\/(j*j\/(((j**(-13\/7)\/j)\/j*j)\/j*j)))\/((j*j**2)\/(((j**(-6\/7)*j)\/j)\/j)) assuming j is positive.\nAnswer: j**(-131\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/(-12) + 86\/4. Let f = -12 + i. Calculate the remainder when f is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-8)\/(1 + -4 + 1). Suppose a = 2 + f. Solve -3*q = -a*q - 6 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17 and 81?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 92*j - 1895. Determine k(27).\nAnswer: 589","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*f - 2*f - 4*z, -4*f + 28 = -4*z. Let h be (-76)\/(-10) - (-2)\/5. Suppose -f*u + h = -0*u. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*o**2 - 37*o - 7 - 7 + 14.\nAnswer: -2*o**2 - 37*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2054aa8 + -79?\nAnswer: -2055076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + -1. Suppose j = -3*n + 10, j + 4 = 4*n - 14. Suppose -5*y + 4*y = -n. Solve t = -3*m, 2*d + m = -y + 12 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4 - (6 + -3)) + (7 - 5). Solve 4 = -j - s*w, 5*w + 5 = j - 3*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 19 - 17. Solve 5*t - 11 = 3*s - b*s, -s + 16 = 4*t for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -41 - -18. What is the units digit of (-6)\/(-10)*(-8 - t)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 134299?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 52304?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 2*d**3 + d**2 + d - 1. Let j be o(1). Suppose 6 = -j*s + 54. Calculate the greatest common divisor of 4 and s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/10 + -6 + 160\/25. Suppose -3*w + 3*n = -l*n - 15, -3*n = 0. Let m be 14\/35 + 343\/w. What is the highest common divisor of 23 and m?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -71 - -79. Let g(r) = 158 + i*r**2 - 77 - 81. Let d(h) = -6*h**2. Determine g(d(n)).\nAnswer: 288*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 - 4. Suppose -h*s + 12 = -s. Let c = 5 + -3. Which is smaller: c or s?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -928\/5 in -5, -0.4, -4, 41\/4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16, 20, 78, 158?\nAnswer: 260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2 (b) -0.16 (c) 1\/3 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are -1813\/9 and -201 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45409*q + 45453*q + 45405*q + 45410*q - 181682*q.\nAnswer: -5*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10715571?\nAnswer: 3, 14699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 60*t - 92*t + 0*t**2 + 33*t - t**2 + 188*t**3 as u*t**3 + x*t**2 + z*t + v and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in thirty-one fifths of a millimeter?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 71828 - 340598. What is f rounded to the nearest ten thousand?\nAnswer: -270000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -34 - -40. Let n(k) = -8*k**2 + 2*k + 5. Let y(z) = 7*z**2 - 2*z - 4. Give p*n(m) + 7*y(m).\nAnswer: m**2 - 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v + 7. Calculate the remainder when 184 is divided by y(12).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2969805*l**5 + 1975014*l wrt l.\nAnswer: 59396100*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -6*w - 70. Let r be (-11064)\/(-32)*2*(-4)\/w. Let x = 197 - r. Which is the closest to 0.3? (a) -4 (b) -3 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -20, -489, 3, -3 in descending order.\nAnswer: 3, -3, -20, -489","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*w = 14*w - 3 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14003 is divided by 36?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -19 - -15?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12 and 534?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 2*h**2 + 5*h + 4. Let y be n(-1). Let v be 1054\/26061 - (0 - 0\/2). Let z = -4\/73 - v. What is the closest to y in z, -2\/3, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80 + (25 - 96) + -55?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34628324.\nAnswer: 2, 277, 31253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 24057 divided by 121?\nAnswer: 2187\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -4*l**2 - 1898*l + 70246. Give h(-509).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is two sevenths of a week in hours?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15*(30\/(-4140))\/((-10)\/18))\/(-3).\nAnswer: 3\/46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03701708607 rounded to four dps?\nAnswer: 0.037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1611346, -1611307, -1611244, -1611157, -1611046, -1610911?\nAnswer: -1610752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 9, -64, -4?\nAnswer: -64","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -753 = -6*d - 711 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (330\/(-440))\/((-1)\/4). Put -1, -67, i in descending order.\nAnswer: i, -1, -67","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -183 + 459 = -4*z. Let r = z + 99. Let n(p) = 2*p**2 + 4*p + 2. Calculate the remainder when r is divided by n(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*g - 889 - 380 = 0. Suppose 133*y = g*y + 1659200. What is y rounded to the nearest 10000?\nAnswer: -210000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 3 - 31 = 0. Let u = b + -4. Suppose -u*y = -8*y. Solve y*k - 4*p = 2*k, 2 = -3*k - 4*p for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-3)\/(d\/(d\/(d**(2\/5)*d*d))))\/(d**12\/d*d\/(d\/(d\/(d**24\/d*d)*d))*d*d) assuming d is positive.\nAnswer: d**(18\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-6)\/4)\/((-36)\/48). Find the third derivative of -4*o**5 - 5*o + 331*o**5 + 4*o**u + 17*o**2 wrt o.\nAnswer: 19620*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 972.2281mm?\nAnswer: 972228100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.039 and 31.1811?\nAnswer: 31.2201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and 0.051.\nAnswer: 0.102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5 + -25.\nAnswer: -24.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1\/2)\/(3\/36). Let q be 4*(-1)\/(-6)*3. Let a = g + q. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 174 = -7*s. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 191*s - 14225. Give z(62).\nAnswer: -2383","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 7 = -n - 14, 2*t + 15 = n. Is 0.1 <= t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -2*k**3 - 8*k**2 - 5*k - 7. Calculate the remainder when 453 is divided by d(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 543304?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 188*g + 255*g - 3764 = 34*g + 7279 for g.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is next in -1909416063, -1909416065, -1909416067?\nAnswer: -1909416069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 3 - 1)*(-1 + 1 - l) + 0*l - 4*l + 5*l)*(3*l**4 - 4*l**4 - l**4).\nAnswer: 2*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**3 + 8*b**2 + 5*b - 13. Give p(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7.1 + 7. Let q be (6\/12)\/((-1)\/4). Put x, 2\/5, 0, q in descending order.\nAnswer: 2\/5, 0, x, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 42, 2, -22, 2461 in decreasing order.\nAnswer: 2461, 42, 2, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b\/b**5)\/b*b*b\/(b*b\/(b*b\/b**(-6))))**(8\/15))**(-42))**50 assuming b is positive.\nAnswer: b**(-3360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 57 + -52.64. Let h = -4.3 + c. Which is greater: h or -3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q + q + 12. Suppose -k = 5*d - 46, -4*d - q*k + 41 = k. What is the remainder when d is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the third derivative of -71*m**4\/12 - 55*m**3\/6 - 163*m**2. Find the first derivative of t(f) wrt f.\nAnswer: -142","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/4 < -922\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-12 + (-235)\/(-20))\/(5\/2)\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the third derivative of 9*h**6\/320 - 3*h**5\/40 - 35*h**4\/64 + 25*h**3\/8 - 59*h**2. Find s such that o(s) = 0.\nAnswer: -2, 5\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 25 = 0, -22*f = 3*s - 21*f - 10 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1*18\/15)\/((-2)\/(-10)). Let x be ((-2)\/2)\/((-3)\/q*-2). Let t be 2\/(-5) - (-5 - 2\/5). Calculate the greatest common divisor of t and x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 - 6*n**2 - 2*n + 7. Suppose 3*h = -2*x + 13, -2*h = -6*h + 4*x + 4. Let p = 9 - h. Let y be l(p). Let u(k) = 2*k + 7. What is u(y)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and -317442.\nAnswer: 1587210","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(25)\/sqrt(5) + sqrt(5) + 2 + (sqrt(80) + -3)*4)**2.\nAnswer: -396*sqrt(5) + 1741","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 633\/(-12) + 2\/(-8). Let z = -46 - d. What is the highest common factor of z and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 22 - 9. Let k = 2.1 - -12.9. Let c = k - r. What is the closest to 2\/7 in -1, c, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -936*l + 133865 = -10012*l - 172364 + 61177 for l.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -15*j - 14*j**2 - 4*j**2 - 3*j**2 + 6*j**3 + 12 = 0. What is j?\nAnswer: -1, 1\/2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence obk when three letters picked without replacement from oqkbbkqqo.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1d5f (base 16) to base 13.\nAnswer: -3565","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/(-5)*60\/18. Suppose 6447 = d*r - 5*m, 5*r - 8115 = -6*m + m. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -8\/21 and 11\/7.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -27 - (18 + -10 + -38).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -0.2, -39, -11\/5, -3, -4 in decreasing order.\nAnswer: -0.2, -11\/5, -3, -4, -6, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2951892 by 17676.\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**1*d)**13*d**(-2\/3)\/(d\/(d\/(d*d**(-1))))*(d**(-3\/7)*d**(-1\/4))\/(d**(6\/7)*d\/(d\/(((d\/(d\/(d**(1\/3)*d)*d))\/d)\/d)*d)) assuming d is positive.\nAnswer: d**(1105\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -7.4, -0.17, -1\/128, 0.2 in descending order.\nAnswer: 0.2, -1\/128, -0.17, -7.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 29*k - 31*k + 3*x - 9, 15*k - 20 = 5*x for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2724904*s**3 + 88*s**2 - 16*s - 5?\nAnswer: 16349424","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1752\/37, 0.06, -5, 1\/2, 0.1 in increasing order.\nAnswer: -1752\/37, -5, 0.06, 0.1, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -1206.713 to the nearest one hundred.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.24 - -13.24. Let k = -12.9 + o. What is the second biggest value in k, 0, 1\/2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20701525101 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6702940, -6702917, -6702850, -6702715, -6702488?\nAnswer: -6702145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a millennium in months?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -766, -1562, -2358?\nAnswer: -3154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the second derivative of -q**4\/12 + q**3\/3 + 5*q**2\/2 - 10*q. Determine u(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 178987 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 158 + 123 - 34788*p**4 + 34287*p**4 with respect to p.\nAnswer: -2004*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6886\/151601 + -10\/1919. What is the smallest value in o, 0.07, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -16\/529143 + -1252447433\/1126016304. Let t = -10\/133 + a. What is the common denominator of 95\/74 and t?\nAnswer: 592","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*w + 9*w - 60*w - 2 + 1265*w**2.\nAnswer: 1265*w**2 - 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(4\/9)*s*s**7*(s\/(s*s\/((s*s*s**(4\/7)\/s)\/s)))\/(s\/(s\/(s*s**(-1\/3))*s*s)))**(3\/23))**(-4\/7) assuming s is positive.\nAnswer: s**(-2356\/3381)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 2*w + w + 22, -4*p = -w + 2. Suppose 2*r + s = -78, -5*r - 3306 = 4*s - 3111. What are the prime factors of (3714\/26 - 2) + w\/r?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 3*d + 249 = 0, -5*d + 176 = 2*p - 366. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 324*c**3 + 2*c - 297 + 298 - 9*c**2 - 3*c**2.\nAnswer: 324*c**3 - 12*c**2 + 2*c + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-766)\/(-5) + 4\/(-20). Calculate the highest common factor of c and 102.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 10 (b) 36\/5 (c) -9 (d) 3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7057cb (base 13) to base 12.\nAnswer: a5b276","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i + 128*s = 126*s - 22, 0 = 4*s + 12 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddddsdfddddsdf. What is prob of picking 1 s and 2 d?\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**3 - 2*u**2 - 5*u - 3. Suppose k = -2*k - 24. Let a be (-3)\/(2\/k*3). Determine f(a).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*q**3\/2 + 20975*q**2 - 87990125*q\/2.\nAnswer: -5*q*(q - 4195)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -59, -42, 17, 142, 357, 686?\nAnswer: 1153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**3 - 7*h**2 - 2*h - 10. Let s = -32 + 67. Suppose b = 3*o + 3*b + 21, s = -5*o + 3*b. What is the units digit of d(o)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -27*m + 14. Let j(u) = -u - 1. Let y(b) = -4*j(b) - l(b). Let c be (-5)\/2*(-24)\/10. Let r be y(c). What is the greatest common factor of r and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/2, -3, -14\/43?\nAnswer: -14\/43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.081709 years to months.\nAnswer: 0.980508","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 137860*h = 137864*h + 3*z - 37, -27*z + 46 = -5*h for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5*(-42)\/35 - -6. Is -1\/40 < b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**2)**17*(f*f**(2\/13))\/f**6 assuming f is positive.\nAnswer: f**(379\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and 11383?\nAnswer: 4553.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1815104558.\nAnswer: 2, 73, 107, 116189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z + 5*v + 20, v - 2 = -2*z + 9. Suppose -5*t - z = -0, -x + 2*t + 11 = 0. Solve 2*c = 15 - x for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the third derivative of 11*h**2 + 0*h + 0 + 73\/3*h**3 + 23\/3*h**4. Find the first derivative of b(d) wrt d.\nAnswer: 184","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - s - 11 = 0, -3*s = 2*r - 2*s + 17. Let v(i) = i**3 + 8*i**2 + 9*i + 5. Give v(r).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 6 = 4. Solve 4*a = -0*j - 3*j, b*j = 8 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.076 - -0.664. Let t = d + -0.8. Let y = -1707\/1114 - -18\/557. Is t bigger than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + i + 11714 + 1817 = 0, 5*p + i = 13539. Let b = p + -48677\/18. Calculate the common denominator of 33\/8 and b.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5172131, -5172139, -5172137, -5172119, -5172079, -5172011?\nAnswer: -5171909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 82717122 to the power of 1\/3, to the nearest integer?\nAnswer: 436","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the second derivative of a**7\/840 + a**6\/120 - a**5\/60 - a**4\/8 + a**3\/2 + 2*a. Let q(s) be the second derivative of l(s). Calculate q(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -2*b - 25, -4*b - 9 = -4*y + 11. Let g be -4 + (0 - b - -2). Let f(p) = p - 7. Let i be f(4). Does g = i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3acc (base 13) in base 4?\nAnswer: 2010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 310 and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 y when two letters picked without replacement from {l: 7, y: 9, x: 2}.\nAnswer: 7\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and -9973179?\nAnswer: -997317.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*m**2 + 88*m**6 + 5*m**2 + 9*m**2 + 137*m**6 - 18*m**2 - 332*m wrt m.\nAnswer: 27000*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42156948265 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55670712?\nAnswer: 2, 3, 2319613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3547 is divided by 197?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(15\/7)*(a\/a**(1\/6)*a)\/a*(a**22*a)\/a*a**(-13)*a assuming a is positive.\nAnswer: a**(545\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 38265954?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0071816 to four decimal places.\nAnswer: 0.0072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in 0.4, 1\/2, -151, -2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p**3\/5 + 1843*p**2\/5 - 12834*p\/5 - 33048\/5 = 0. Calculate p.\nAnswer: -2, 9, 1836","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nkzzns. Give prob of picking 1 k and 1 n.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2\/13 - 13266*v\/13 - 92960\/13.\nAnswer: 2*(v - 6640)*(v + 7)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**3 + 17*v**2 + 60*v - 66. Give l(-12).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4257266.\nAnswer: 2, 13, 163741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -161*u**2 - 2*u. Let a(g) = 118829 + g**2 - 118829. What is m(a(h))?\nAnswer: -161*h**4 - 2*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Total of 49270626 and 75.\nAnswer: 49270701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 - -34. Calculate the remainder when 130 is divided by f.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*k - 12*k = 600. Is 3*(-1)\/(-6) + k\/(-40) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 181\/89376 and 93\/1064.\nAnswer: 89376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -11 and 0.36.\nAnswer: -3.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5425900 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**3\/5 - 718*l**2\/5 - 12816*l + 12960.\nAnswer: -2*(l - 1)*(l + 180)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 2*n + 0*n + 16 = 0, -5*n = -h - 6. Let a be 8\/(-40) - (-11)\/5. Sort h, 1, a.\nAnswer: 1, a, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 109*h - 17*h - 93*h + 5505 to j*h + g and give g.\nAnswer: 5505","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -3*f**2\/5 + 240*f = 0?\nAnswer: 0, 400","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-15)\/(-3) - 1376\/301. Let l = -351\/7 + 50. Which is the second biggest value? (a) l (b) v (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*w + a = 28*w + 34, -5*a + 17 = 3*w. Let m = 3 + -10. Sort 1, w, -3, m.\nAnswer: m, -3, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3911185 to the nearest integer?\nAnswer: 1978","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(136)\/sqrt(72)*3 + (sqrt(17) + sqrt(85)\/sqrt(5)*3)**2*-6.\nAnswer: -1632 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, -1\/8, 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 522 + -694. Is m greater than or equal to -173?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1181888027?\nAnswer: 19, 62204633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/16, -2, -0.12, -1?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(130) + sqrt(130) + 2*(-2*sqrt(130) + sqrt(130)) + -1*sqrt(130)*-3 + sqrt(130))\/(sqrt(160)*-1*-4).\nAnswer: sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5 or -6\/314357?\nAnswer: -6\/314357","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - 5 = -5*l, -6 = -4723*l + 4721*l for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 31*v - 59. Let l be p(2). Suppose l*x - 84 = -11*x. What is the remainder when 23 is divided by x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-2))\/(371\/53).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 2*p**3 + 5*p**2 - 61*p - 221. Determine u(-5).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1423039 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 3205240?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 493, -4, -100, -5, -95, 4.\nAnswer: -100, -95, -5, -4, 4, 493","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes after 5:34 AM?\nAnswer: 8:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -51272.05 to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3230 and 560.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1378 + -14967. List the prime factors of 8\/(-6) - l\/21.\nAnswer: 3, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -214 divided by 1?\nAnswer: -214","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) -5 (c) -1212 (d) 3 (e) -47\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:42 AM and 6:52 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -260.7813 rounded to the nearest ten?\nAnswer: -260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -3*n**2 - n + 2. Let u(j) = -6*j**2 + 1 - 4*j - 9*j**2 + 6 + 2*j**2. Let t(x) = 2*u(x) - 9*y(x). What is t(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3530861269.\nAnswer: 13, 349, 778237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4\/3*y**3 + 16 + 32\/3*y**2 + 76\/3*y = 0 for y.\nAnswer: -4, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*l - 2 - 6 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11381.922 - -11382. Which is bigger: 5.8 or k?\nAnswer: 5.8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14345623357 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 27160*p**2 - 4*p + 4. Let j be s(-9). What is j rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**2 - 4*q - 2. Let n be y(-4). List the prime factors of (-3 - -12) + (n - 1).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -690*y + 346*y - 11536 = -348*y. Does 14 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 - 1\/6*q**4 + 1\/3*q**5 - q**3 - 1\/6*q**2 + 1\/3*q = 0. Calculate q.\nAnswer: -1, 0, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 2 n when four letters picked without replacement from {d: 2, n: 4, e: 2}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 9*d - 1. Let h(s) = -s**2 + 1. Let y(v) = -g(v) - h(v). Let o be y(9). Solve o = 4*x + 1 - 5 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 230175?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-1160)\/7250*10\/4\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/5 + 432\/(-20). Let x = i - -27. Let g(f) = f + 2. Let s be g(-4). Sort 1, x, s in ascending order.\nAnswer: s, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -273 + 262 + -5 + -2\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12955 - 20*v**2 - 6474 - 6475 + (5*v + v - 4*v)*(-2*v + 2*v + v) + v**2 + 2 - 2.\nAnswer: -17*v**2 + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a millennium in months?\nAnswer: 42000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15 - 13. Suppose 32 = -f*j + 122. Does 15 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/5*c**3 + 4\/5*c**2 - 2\/5*c - 4\/5.\nAnswer: 2*(c - 1)*(c + 1)*(c + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (45\/(-25))\/(18\/(-28)*(-36890)\/3162)?\nAnswer: -6\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the second derivative of -p**5\/2 - 3*p**3\/2 + 4*p. Find the second derivative of y(t) wrt t.\nAnswer: -60*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 + 583*h**2 - 587*h**2.\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101011 + -100?\nAnswer: 1100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 11748800 rounded to the nearest one million?\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 3 + 3 - 4 + 7*s**3 + s**2 - 3. Let k be o(-1). Let n = 26 - k. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -755*m**3 + 11*m**2 + 276*m - 11. Let p(u) = -151*u**3 + 2*u**2 + 55*u - 2. Let l(o) = 2*h(o) - 11*p(o). Find the second derivative of l(j) wrt j.\nAnswer: 906*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 289679*-3\nAnswer: -869037","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14\/196)\/((-57)\/23142)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 - -20024562?\nAnswer: 20024560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2.1 in 1, 0.2, -11, 6.13, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 - (-2)\/(-3 + 1). Suppose 5*t - 6 - 9 = u. Let x be (-682)\/(-55) - (-3 - -16). Which is the biggest value? (a) 2 (b) x (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 - 1. Let n(d) = -6*d**3 - 2*d - 1. Is n(c) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 0*o + 4*o - 12 + 0*o - 2*o. Let x be r(7). Which is the closest to -1? (a) -2 (b) x (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yb when two letters picked without replacement from {b: 5, y: 14}?\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhvhhhhhvvh. What is prob of picking 1 v and 2 h?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 99 = -105 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*a + 8 = 4*a + 4*b, 2*a - 22 = 4*b for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 + (54 - (18 + -6 + 0) - -2)?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 440 = -5*i, -480 = -4*h - 5*i - 40. Calculate the highest common divisor of 10 and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 17.325 and -0.4.\nAnswer: 16.925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*t + 11*t - 6 = -2*o, 5*t = o + 27 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -7*o**2 - 5*o + 5. Let c(a) = -22*a**2 - 16*a + 16. Let m(u) = -5*c(u) + 16*l(u). Let j(k) = -11*k**2. Calculate m(j(f)).\nAnswer: -242*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/199137 or 0?\nAnswer: 1\/199137","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 17 + 19. Suppose -401*q + 47952 = -68*q. Calculate the greatest common factor of i and q.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2110 and -453.\nAnswer: 1657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 3*p - 392, 4*p - 3*f - 171 = 380. Let z = p + -108. Calculate the greatest common divisor of 26 and z.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/15)\/((-6)\/(-480)*-8).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-18)\/8)\/3*-4. Let d(q) = 7*q - 13*q**3 + 7*q**2 - l*q + 3*q. Let k(z) = -6*z**3 + 3*z**2 + 3*z. Give -3*d(c) + 7*k(c).\nAnswer: -3*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-18)\/(-63)*((-31346)\/(-4) - 0).\nAnswer: 2239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 21\/(-14)*(-4)\/6. Suppose -s = c - 5. Solve 0 = 2*h + 3*h - y, -5*h - c*y = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6811246554 to the nearest integer?\nAnswer: 82530","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -293*m**3 + 970.\nAnswer: -879*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 3 = 3*z. Solve -1 = l - p, 0 = 2*l + 2*p + z*p - 10 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2278 divided by 3277\nAnswer: 2278\/3277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12058 - -12069. Sort -73, f, 4.\nAnswer: -73, 4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1250*c**3*s**2 - c**3*s - 1883*c**3 + 18706*c**2*s**2 + 2*c**2*s + 6*c*s - 14*s wrt s.\nAnswer: 2500*c**3 + 37412*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 1599*h**3 - 1595*h**3 + 27 + (0*h**2 - h**2 + 2*h**2)*(h + 2*h - h) + 9*h**3 - 8*h**3 + 12*h**3.\nAnswer: 19*h**3 + 27","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000109 to 4 decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*f**2 + 4*f**2 - 3*f**2)*(-1 + 2 + 0) + 9*f - 9*f + 6*f**2.\nAnswer: 14*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the second derivative of -p**4\/6 + 44*p**2 + 1970*p + 1. Let a(q) = -4*q**2. What is l(a(s))?\nAnswer: -32*s**4 + 88","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*l**2 + 1475*l**3 + 1025*l**2 - 4*l**2 wrt l.\nAnswer: 8850","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 2 w when three letters picked without replacement from elelwlwtllez.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**2 - 50*m - 623. What is w(-17)?\nAnswer: 516","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 62 and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -48 (b) -1 (c) 10\/11 (d) 5 (e) 0 (f) 1\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -2*d**2 - d + 5. Let y(t) = 1. Let s(h) = -i(h) + 2*y(h). Let z(n) = -4 + 4*n + 3*n**2 + 6*n - 9*n. What is -4*s(u) + 3*z(u)?\nAnswer: u**2 - u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 119\/(-102))\/(2\/(-316)) - 31\/31?\nAnswer: -82\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 5*s = -96, 0*s = i - s - 24. Suppose 0*o = o + 3. What is the remainder when i is divided by -2 - (1*-18 - o)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 5607?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 65 + -38?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 40 = -3*a - 2*a, -5*a - 30 = -x. Let q = -7 + x. Let w(s) = s**3 - 2*s**2 - 3*s + 4. Let p be w(q). What is the biggest value in -0.2, 2\/13, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 3)*(0 + 1 - 4)*(4*o**3 - 1 + 1)*(75*o + 77*o - 172*o).\nAnswer: -240*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.934229 + -1.68.\nAnswer: -2.614229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2304439, -9217866, -20740245, -36871576, -57611859?\nAnswer: -82961094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0*(3 + (-15)\/6). Let a be (n\/2)\/(-7 - -9). Let g(w) be the first derivative of -w**4\/4 - w**3\/3 + w**2\/2 - 13*w - 3. Determine g(a).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7565.751ml in litres?\nAnswer: 7.565751","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -186, 4\/7, 0 in descending order.\nAnswer: 4\/7, 0, -186","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -14*k**2 - 5*k + 35. Let z(n) = 5*n**2 + 2*n - 12. Let m = 8049 - 8046. What is m*p(s) + 8*z(s)?\nAnswer: -2*s**2 + s + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the third derivative of x**6\/200 + 9*x**5\/25 + 239*x**4\/40 + 42*x**3 - x**2 + 986. Let y(q) = 0. Calculate q.\nAnswer: -28, -5, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 246059?\nAnswer: 11, 22369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 8 = -3*r, -4*c + 2*c = -2*r. Suppose 0 = -2*p - 1 - 7. Suppose -4 = 4*a - 0. Sort r, p, a.\nAnswer: p, a, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -115968.3 to the nearest ten thousand.\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from auaannanxa. What is prob of picking 1 n, 1 u, and 1 x?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.01972 + 0.31972. Which is the fourth smallest value? (a) 3 (b) -4 (c) f (d) -25 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 391634580 a multiple of 298?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5514 and 1239731?\nAnswer: 919","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2104 + 139. What are the prime factors of t\/6*5\/50*-8?\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, w: 3}. Give prob of picking 2 x.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*i**2 + 2*i - 6*i**2 - 429 + 66*i**2.\nAnswer: 65*i**2 + 2*i - 429","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 376536 at least 376532?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 + 0. Let w be (-4)\/18 + (-46651)\/792. Let o = w + 59. Which is the second smallest value? (a) j (b) o (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the first derivative of z**6\/180 - z**5\/60 - z**4\/8 + 4*z**3 + 8. Let h(s) be the third derivative of n(s). What is the units digit of h(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -2*y**2 - 101*y - 931. Give u(-12).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3386468.3 rounded to the nearest 1000?\nAnswer: 3386000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let t = 58 + -50. Let m = -177 - -190. Solve k + m = -3*l - 2, -t = 2*l for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -4*q + 4, 0*w - 19 = 2*w - q. Let s = w + 24. Suppose -5*h = -6*h + 24. Calculate the highest common factor of s and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dow when three letters picked without replacement from {d: 2, o: 2, w: 7, a: 3, n: 5, i: 1}?\nAnswer: 7\/1710","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**3 - 16*t**2 + 14*t - 13. Let z be ((-36)\/8)\/(6\/16) + 0 + -5. Determine c(z).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 218512 is divided by 24266.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 3*k + 2*k. Let x = k + -4. Let z be (x - 3) + (-1 - -13). Calculate the highest common factor of z and 143.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n\/n**(-7)))\/n**7)**9 assuming n is positive.\nAnswer: n**(-126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 25477703?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 244.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put together -171 and -7228896.\nAnswer: -7229067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 16 = 4. Suppose -x = -27 + c. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -17*r + 112. Let j be a(6). Solve 0 = -j*k + 2 - 32 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*h**2*p**2 + 58*h**2*p - 183*h**2 + 3*p**2 + 438*p + 22 wrt h?\nAnswer: 4*h*p**2 + 116*h*p - 366*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/s**6*(s**(-2)\/s)\/s*s*s**6\/s*s**(-2\/5)*((s**(-2\/3))**(-4\/19))**(-4\/9) assuming s is positive.\nAnswer: s**(-8881\/2565)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-31 - -62) + -24 + 32.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 915 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/4*t**3 + 0*t + 0 + 6*t**4 - 3\/2*t**2 - 15\/4*t**5.\nAnswer: -3*t**2*(t - 1)**2*(5*t + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11663 (base 7) to base 6.\nAnswer: -22135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 936b - 0?\nAnswer: 936b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -2*y**2\/3 + 1426*y\/3 - 5672\/3 = 0.\nAnswer: 4, 709","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v - 3*v + 932. Let h = v + -30. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 659862 is divided by 329834?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 79\/2 + -241\/6. Which is the closest to g? (a) 0.2 (b) -1\/2 (c) -4 (d) 48\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 + 6. Does 9 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -7*a**2 + 14*a - 45. Let m(k) = 120*k**2 - 240*k + 765. Let l(x) = -2*m(x) - 35*p(x). List the prime factors of l(11).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -h + 1749, 5*x - 5205 = 151*h - 154*h. Calculate the highest common factor of 50 and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 1 - 1 - 2*w + 1. Let u be f(-1). Suppose -5*g + 5*l = 35, -g - u*l - 14 = 3*g. Which is the third smallest value? (a) g (b) -0.3 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w - 5. Let t be d(5). Let i = 9 + -1. Suppose -u = 5*x - 0*x - i, 4*u - x + 10 = t. Which is the smallest value? (a) 1 (b) -1\/2 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 22.6 - 25. Let x = g - -0.4. Suppose -1 - 3 = z. What is the closest to 0 in x, z, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -4*n + 5. Suppose -4*f = -5*g - f + 12, 2*g = -4*f + n. Calculate the greatest common divisor of g and 21.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*g - 44 = 5*n, -3*g - 43991*n - 7 = -43993*n for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12.32 + 12. Let g = -0.02 - s. Which is greater: g or -1\/4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -37790*k**2 + 5*k - 873?\nAnswer: -75580","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llll when four letters picked without replacement from llllllllll?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4107, 3\/1558, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 120267?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**2 - 11*f - 3. Let u be r(-10). Suppose 4*g = 2*s - u - 15, -2*s = 2*g - 4. Let t(p) = -3*p**2 + 3*p + 2. What is t(g)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.3 - -0.4. Let l = q - -0.4. Let a = l - 0.4999988. What is a rounded to 6 decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 129941430?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 85*(-12)\/(-612)*(-3)\/(-185).\nAnswer: 1\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -5709, -22863, -51453, -91479, -142941, -205839?\n\"Answer: -5718*c**2 + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**3 - 104*r**2 - 1522*r - 2823. Calculate x(-11).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 97*r**2 - 1. Let c be l(1). Suppose 3*a - 4*j - 274 = -2*j, -4*j = a - c. Let p = a - -75. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.05827 and -0.07.\nAnswer: -0.12827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w - 3*z + 57, 0 = 5*w - 0*z - 2*z - 268. Suppose -4*q + 6*q - w = 0. Is q a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:33 AM and 6:25 PM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (43\/86)\/(7\/(-2) - 0). What is the third smallest value in -0.4, -5, 2\/5, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(4\/21))**(3\/5) assuming w is positive.\nAnswer: w**(4\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 79546687*d**2*t - 87417827*d*t wrt d?\nAnswer: 159093374*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - 0*s + 2*w - 533, 0 = -5*w + 20. Let o = s - -16. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -5*y**4 - 156*y**3 - 312*y**2 - 161*y + 3. Let j(s) = -7*s**4 - 156*s**3 - 311*s**2 - 162*s + 4. Let f(r) = 3*j(r) - 4*z(r). Factor f(c).\nAnswer: -c*(c - 158)*(c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -33\/859244 and 67\/4725842?\nAnswer: 9451684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**3 - 7*t**2 - 5*t + 6. Let x(l) = -12 - 3*l - 11*l - 11*l**2 + 2*l**3 - 9*l**2 + 29. Let u(q) = -17*v(q) + 6*x(q). What is u(1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2308*l = -2309*l + 3 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1248\/(-17472))\/(3\/1218).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) 22 (c) -2825\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-1\/8)\/(x\/(x**(-6)*x)))\/(x**(-2\/11)*((x**6*x)\/x)\/x))**(-2\/55) assuming x is positive.\nAnswer: x**(963\/2420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 82874.926849 + -82875. What is d rounded to 2 dps?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: a (base 13) to base 16\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 165784260 to the nearest one hundred thousand.\nAnswer: 165800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -3*p + 11. Let v(a) = -5*a + 21. What is -7*r(t) + 4*v(t)?\nAnswer: t + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 10*h**2 - 274*h - 97. What is the remainder when 2908 is divided by f(28)?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 208*b**3*i**2 + b**3*i - 452*b**3 + 2*b**2 - 353*b*i**2 - 93 wrt b?\nAnswer: 1248*i**2 + 6*i - 2712","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 19636000 to the nearest one hundred thousand.\nAnswer: 19600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 95597 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 673 - 2021\/3. Which is the second biggest value? (a) 4\/11 (b) v (c) -4 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 16*q**2 + q + 0*q - 15*q**2 - 3 + 4*q. Let b(d) be the first derivative of -d**2\/2 + d + 3. Let r be b(6). What is x(r)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - 5 = v, 5*p - v = 7*p + 6 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*5*sqrt(132))\/(sqrt(120)\/sqrt(10)*1))**2.\nAnswer: 4400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**2 - 4*b + 6. Give x(-7).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-12)\/14)\/(1\/(-42)). Solve -37*i + q*i = -1 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -7 + 12 + 0 + z + 9. Let t be p(-11). Solve 0 + 0*w + 0*w**2 + 2\/3*w**t - 1\/3*w**4 = 0 for w.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61 - 11*j + 57 + 41 - 210 + 70.\nAnswer: -11*j + 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 59051 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -54205100 (base 6) to base 12.\nAnswer: -653790","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**3 + 22*d**2 - 3*d + 53. Give n(22).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 556 = 10*t - 14*t. Let p = t - -419\/3. Sort p, -5, 0.02.\nAnswer: -5, 0.02, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**2 - 5*u + 135. Let i be m(9). Solve -n = 2*n + i for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**3 - 2*a**2 - 7. Let s be o(3). Suppose g = -s*g + 18. Suppose 244 = 4*n + g*q - q, -5*n + 2*q = -272. What are the prime factors of n?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 3*j + 1. Let i be f(2). Let y be 519\/21 - (-2)\/i. Let s = 5166 + -5161. Calculate the highest common divisor of y and s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2\/67, -6 in decreasing order.\nAnswer: 5, -2\/67, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/9, -0.4, 0.2, -1\/4, 0.01?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 66 - 191\/3. Let z(n) be the first derivative of 9 - u*n**3 + 0*n**4 + 0*n**5 + 0*n**2 + 0*n + 5\/6*n**6. What is the third derivative of z(c) wrt c?\nAnswer: 300*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmwjwvwjmjuvwmwujjv. Give prob of picking 1 w and 1 j.\nAnswer: 25\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 209 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -835*o - 131. Let m(z) = -1. Let a(g) = -k(g) + 5*m(g). Differentiate a(b) with respect to b.\nAnswer: 835","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3f682 - 0?\nAnswer: 3f682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes before 4:33 PM?\nAnswer: 6:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u + 5*p + 19, 2*p + 9 = -p. Let k = 7 + u. Suppose -68 = -3*c - 4*r, -c - 6*r + r + 41 = 0. What is the greatest common factor of k and c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/((-36)\/(-4))*10\/2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-22 + 8 - (-5 + 0)) + 8 + -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6126390 is divided by 1265.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -q - 9. Let k be 43\/q - 4\/(-18). Suppose 5*w - 27 = 3*w + v, -k*v = 15. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000100140804 rounded to 7 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/2 - (-350)\/280. What is the second biggest value in 198, g, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -286 + 795. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 4*x = -18, 2*v = 7*v + 4*x - 22. Solve 4*d - 6 = 2*d + u, -v*u - 6 = -2*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5873 - -5882. Solve 0 = -n - 5*r - 23, 7*n - t*n - 4*r - 16 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -437, -436, -435?\nAnswer: -434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0003616144 to four decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -483 - -480. Suppose -9 - 7 = 4*c. Let n = 2 + 1. Sort 5, n, i, c in ascending order.\nAnswer: c, i, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 14*t - 104 = -13*t, 0 = 5*s - 5*t - 80. What is the smallest common multiple of 1072 and s?\nAnswer: 11792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-342)\/16 + (-11)\/(528\/(-18)). Let k = 23 - 42. Let f = k + 17. Which is bigger: m or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*q = 13*q + 9 - 427 for q.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(612) + -1*sqrt(612) + sqrt(85)\/sqrt(5) + -1.\nAnswer: -1 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**3 - 4*k**2 - k + 4. Let r(t) = 5*t**3 - 1 + 38*t**2 - 38*t**2. Let a = -1 + 2. Let z be r(a). Give p(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t + 11. Suppose k + 3*f - 9 = 0, f - 55 = -3*k + 6*f. Suppose 3*g + k = -4*o - 33, -2*o - 2 = -4*g. Let a be z(o). Solve -5*c - 8 = a for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2110201112 + 210111221?\nAnswer: 10021020110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 45233 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 22871\/60 + -1147\/3. Let j = 8226 + -10800733\/1313. Let t = 95929\/21008 - j. Find the common denominator of n and t.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 98*r**2 - 197*r**2 + 88*r**2 + 4.\nAnswer: -11*r**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:59 PM and 6:03 PM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**2 + 2*u - 2038. Let p(c) = -c. What is v(p(l))?\nAnswer: l**2 - 2*l - 2038","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l = 9*l - 90. Suppose -2*b + 244 = 268. What is the remainder when l is divided by (-5)\/3*-14 - b\/(-36)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 40, 338, 834, 1528, 2420, 3510, 4798?\nAnswer: 6284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*r**2 - r**3 + 0*r**2 - 3*r**2 + 0*r**2.\nAnswer: -r**3 + 7*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 154466, 308946, 463442, 617954?\nAnswer: 772482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 370243216 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1188029 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*((-5 - (-246)\/24) + (-6)\/4).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -2*z - 7, -3*q + 6 = -z - 0*q. Let p be 3\/(z\/(-49)) + -2. Suppose -p = 3*m - 7*m - w, -2*m + 3*w + 27 = 0. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:10 PM and 3:44 AM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 + -6. Suppose -5 + s = -c. Suppose 1 = c*z - z. Do z and 4\/3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-367)\/1468)\/((-6)\/16*7\/(-6)).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -32*k + 5. Let l be c(0). Suppose 0 = -l*y - 5*s + 23789 + 32986, 11380 = y - 4*s. What is y rounded to the nearest one hundred?\nAnswer: 11400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -38045 less than 0.0129?\nAnswer: 38045.0129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 220 is divided by 108.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 4 - 11*k**2 + 5*k + k**3 + 4*k**2 + 2. Let r be y(6). Let g(o) = o**3 - 23*o**2 + 103*o - 4. Let q be g(6). Solve r = q*n - 5*n - 9 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6615234 - -6615177.00002. Let c = 57 + v. Round c to 4 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 4*v + 8 + 17 = 0, -3*v = 2*z - 10. Let g(y) = -y**2 - 125*y - 481. Let s be g(-4). Put z, 4, 0, s in increasing order.\nAnswer: 0, s, 4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 201225016 a multiple of 151?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes after 10:57 PM?\nAnswer: 10:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 406195715 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**3 + 7*g**2 + 28 + g - 36 - 5*g. Let d be b(6). Suppose -91 = -d*r + 317. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -2*v - 2. Let d(l) = -l - 1. Let a(n) = 5*d(n) - 3*w(n). Suppose 20*p - 19 = 21*p. Let x be 1\/1 + (p - -17). Determine a(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3084 is divided by 738.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (64\/(-12))\/(-28*32\/(-5376)).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**3 - 7*j**2 + j + 5. Let z be h(7). Let k be 4\/(-4 - -2) + 86. Calculate the highest common divisor of k and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4360 + 0?\nAnswer: -4360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -4*w - 4*r + 10, -3*w - 2*r = -10. Suppose 4*h = x - 22, -w*h = 2*x + 7 - 1. Let l = 4 - -8. Solve l = 4*a + 2*s, x*s + 25 = 3*a + 2 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9604?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 157 a factor of 46332?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 divided by -8975.\nAnswer: 19\/8975","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 - -5. What is the remainder when 27 is divided by c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 625365653?\nAnswer: 11, 23, 127, 19463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -125, -4, -0.01, -1\/10, 10\/3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 100 - 520431752.2\nAnswer: -520431652.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttjootjj. Give prob of sequence ooj.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 7369 (base 12) to base 2\nAnswer: 11000101000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-five quarters of a meter in millimeters?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the third derivative of 3*k**8\/224 + 2*k**7\/15 + k**6\/20 - 12*k**5\/5 - 4*k**4\/3 + 721*k**2 - 1. Determine o so that c(o) = 0.\nAnswer: -4, -2\/9, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -4*f**3 + 8*f + 1\/2*f**4 - 4*f**2 + 1\/2*f**5 + 8 = 0.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/1926 and -61\/162?\nAnswer: 17334","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 9*a**2 + 5*a. Let z(g) = -4*g**2 - 3*g. Let x be 10\/5 - (1 - 6). Let b(t) = x*z(t) + 4*l(t). What is the units digit of b(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 4 = 4*r - 115, r + 2*s - 32 = 0. Suppose 7*o - 2*o - r = 0. Let n(i) = i**3 - 8*i**2 + 8*i + 4. Determine n(o).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(17) + (sqrt(17) - (sqrt(612) + 2 - sqrt(612))) + -5 + -1.\nAnswer: -8 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001 (base 2) in base 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -3) + 17 + (-12 - -13) + -10?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 99\/10 and 2*23*3\/(-114)?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -3*f**2 + 6*f + 3. Let w(t) = -4*t**2 + 7*t + 2. Let y(o) = 2*w(o) - 3*z(o). Suppose -1 = -159*j + 155*j - 3*k, -5*j + 2*k + 30 = 0. Determine y(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2327 is divided by 687.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7.389 - -5.6995. Let l = 1.66 + p. What is l rounded to two dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 299?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 86170 divided by 5.\nAnswer: 17234","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the second derivative of -5*t**3\/6 + 1698*t. Let m(k) = -96*k. Calculate m(r(c)).\nAnswer: 480*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 106 - 102. Solve -u = -p - 3 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -46 - 1186.304313?\nAnswer: -1232.304313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2311 - -3605. Let t = f + -92. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 - 37 = -2*h. Calculate the highest common divisor of h and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 22\/(-55) - (-2 + (-46)\/(-10)). Let q be ((1*-45)\/(-3))\/((-1)\/j). What is the highest common divisor of q and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-9 + 8)\/(2\/(-6)). Let w be ((-8)\/(-6))\/(1\/3). Put w, p, -1 in descending order.\nAnswer: w, p, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, 3\/5, -4, -193\/13?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/5 of a meter?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/270 and 44\/315.\nAnswer: 1890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -34*f - 1956 + 1956 + (-2 - 6 + 3)*(-8 + 8 - 6*f) + (-f - 1 + 1)*(-1 + 0 + 3).\nAnswer: -6*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -71, 5, -5\/4, -10, 0 in increasing order.\nAnswer: -71, -10, -5\/4, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 13, 20, 21, 10, -19, -72, -155, -274?\n\"Answer: -s**3 + 3*s**2 + 5*s + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 52 + -24. List the prime factors of 3\/2 + 1834\/v.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**3 - 5639*z**2 + 1280274*z.\nAnswer: z*(z - 5402)*(z - 237)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 134548 is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9 (base 12) to base 4.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -97.37074 rounded to one decimal place?\nAnswer: -97.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does -2\/217047 = 15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 23b + 0?\nAnswer: 23b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:19 AM and 4:39 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.16920826 rounded to three decimal places?\nAnswer: -0.169","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**2 - 17. Let s(t) = -1881*t**2 + 4932. Let p(u) = -9*h(u) + s(u). What is the first derivative of p(o) wrt o?\nAnswer: -3780*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.0843346538736 - -4537091.9159003461264. Let r = -4537043 + l. Let h = r + -49. Round h to five dps.\nAnswer: 0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -93*a - 88*a + 7*a**2 + 181*a.\nAnswer: 7*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 6308 times 0.4\nAnswer: 2523.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g*g*g**24*g)**(-8\/5)\/(g**(-5\/3))**8)**33 assuming g is positive.\nAnswer: g**(-5192\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*w**5 - 63*w**3 + 3*w**2 - 19*w wrt w.\nAnswer: -120*w**2 - 378","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*p - 5*n + 78 - 98 = 0, -2*n = -4*p + 8 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3 is divided by (2 + -1)\/((3 - 0)\/3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 9099 = b - 718, -3*b + 29495 = -2*g. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z\/z**(-10)*z)**(-2\/37) assuming z is positive.\nAnswer: z**(-26\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 20 = 2*l. Suppose 12 = 5*m - 5*r - 203, -2*m - l*r = -100. Suppose -2*y + m = -5. List the prime factors of y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19247266?\nAnswer: 2, 19, 506507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lh when two letters picked without replacement from {e: 6, y: 3, h: 2, l: 2}.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 76\/40617 and 83\/148929.\nAnswer: 446787","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + 5. Let k(h) = -h**3 + h. Let v = 0 + -1. Let w(x) = -5*x**2 + x - 4. Let c(o) = v*k(o) + w(o). Give c(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6\/13, -0.5, 0.003, -1.2, 1 in descending order.\nAnswer: 1, 6\/13, 0.003, -0.5, -1.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -6 - ((140\/3)\/14 + -9). What is the closest to 2\/3 in m, -1614, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.3, 50, 0.6, -1, -7\/2, -5?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 + -788082?\nAnswer: -788076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2311*d*f*m**2 + 558*d*f*m - 2443*f*m**2 + f*m - 62*m**2 - 2*m wrt d.\nAnswer: 2311*f*m**2 + 558*f*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 668691.\nAnswer: 3, 191, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ix when two letters picked without replacement from {q: 1, d: 1, i: 7, c: 1, x: 5}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in nineteen quarters of a milligram?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -220 + 222. What is the third derivative of 108*n**5 - 13*n**2 + 19*n**2 + 5*n**t + 2*n wrt n?\nAnswer: 6480*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10263\/8 + 1279. What is the common denominator of n and 31\/28?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/50 + 5929\/1925.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d**2 + 655385*d + 7208630 = 0 for d.\nAnswer: -131066, -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 127 = -f, 5*h + 40 = 3*h + 5*f. Is -65*(70\/h + 2) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -8\/429 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i - 1. Let n(a) = -4*a**2 + 5*a**2 + 47 - 47. Let s(d) = -5*d**2 - 3*d. Let f(q) = 6*n(q) + s(q). Give -f(j) - 2*l(j).\nAnswer: -j**2 + j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/(-5))\/(4\/(-20)). Let d(i) = -i**3 + 4*i**2 - 4*i + 3. Let s be d(a). Suppose -s*b + 129 = 39. Does 30 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*n**2 + 877*n**3 - 8*n**2 - n**2 - 17*n**2 + 35*n**2.\nAnswer: 877*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 9279031 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q - 3*q + 2*q**2)*(2 - 2 - q) - 12*q**2 + 14*q**2 - 7*q**2 + 5*q**3 + (-q**3 + 3*q**3 - q**3)*(-1 + 0 + 0).\nAnswer: 2*q**3 - 5*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/9, 4292, 2\/11, 0, -11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -144 + (12 - -45) + -56?\nAnswer: -143","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes after 11:57 AM?\nAnswer: 3:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26284 is divided by 14.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2 - 5\/(-1)) + -16. Let o(i) = -7*i - 2. Calculate the remainder when o(c) is divided by 30.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5782 + -5781.999997093. What is z rounded to seven decimal places?\nAnswer: 0.0000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**3 - 9*x**2 + 330*x - 714. Calculate n(-24).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**2 - 17*z - 30. What is o(-24)?\nAnswer: -198","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 - -0.15608.\nAnswer: 0.25608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*6\/3 - -1. Suppose -102 = 3*x + j + 2*j, 0 = -3*j - q. Let y = x + 131\/4. Sort y, 1\/2, -0.4 in descending order.\nAnswer: 1\/2, y, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -0.3, 3\/11, 3, 2\/11.\nAnswer: -0.3, 2\/11, 3\/11, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3477 + -1609. Is 7 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 3*t = 14, 4*t + 0 + 7 = y. Let w(o) = o**2 + 5. Is w(y) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 642 - -2870. List the prime factors of t.\nAnswer: 2, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 20647 + -2?\nAnswer: 20645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -3a3 (base 13) in base 15?\nAnswer: -2ca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -0.5, -2\/7, 3\/100?\nAnswer: 3\/100","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:35 AM and 5:57 AM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 42388998?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8*z - z - 3*z - 11)*(-69 + 54 + 43) to the form w*z + x and give w.\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, -7.1, -1.7, -3 in descending order.\nAnswer: -2\/5, -1.7, -3, -7.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 64238539?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-63)\/(-168))\/((-9)\/(-48)). Let 32\/5*s + 4\/5*s**z + 64\/5 = 0. Calculate s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + -4. Let d = 5 + -1. Let r = 6 - d. What is the closest to 0.1 in r, -4, z?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**3 + 8*c**2 + 7*c - 6. Let b be s(-7). Let a(x) = 248*x - 2. Let l be a(b). Let t = 610 + l. Round t to the nearest 100.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1022558 is divided by 10341.\nAnswer: 9140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:39 PM and 5:49 PM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/4 and 5\/3948.\nAnswer: 3948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j when three letters picked without replacement from {j: 4, v: 7, z: 4}?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.025, -0.03, 0.5, 1.1, 124?\nAnswer: -0.025","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.111 + 0.351. Let u = 27.44 + -27. Let j = u - g. Which is the second biggest value? (a) 0.5 (b) -0.2 (c) j (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:01 AM and 11:22 AM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i = -2*i - 8. Let b(a) = -a**2 - a + 1. Let j(s) = -3*s + 1. Give i*b(k) - j(k).\nAnswer: -2*k**2 + k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**3 + 18*g**2 - 19*g + 1. Suppose 10*q = q + 90. Let m be 72\/180 + -97*2\/q. Let w be z(m). Is w less than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36 - 22 - (2 - 3 - -6).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2 * 32876\nAnswer: -65752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 2*o + 32. Let q = 1 - 5. Let u be n(q). Calculate the greatest common divisor of u and 56.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3*(1 + 15\/(-9)). Suppose 0 = -c + q - 3. Is c < -2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:06 PM and 1:59 AM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -3*i. Let s(d) = 3202*d**2. What is w(s(j))?\nAnswer: -9606*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the second derivative of -17*w**7\/7 + 7*w**6\/30 - w**3\/6 - 95*w**2 - 1802*w. What is the second derivative of c(f) wrt f?\nAnswer: -2040*f**3 + 84*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14133563 is divided by 140.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 839 - 838.95. Which is the nearest to p? (a) 1 (b) -0.5 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3317989 less than 0.3?\nAnswer: -0.0317989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**1\/i**(1\/21))**(-3\/26)*(i**(2\/21)\/i)\/i**(-2\/13)*(i\/(i\/i**(-1)))**31 assuming i is positive.\nAnswer: i**(-8698\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 4*w**3 + 7*w**2 + 7*w. Let u(t) = -4*t**2 + t**3 - 13*t**2 + 15*t**2 - 2*t**3 - 2*t. Give 2*k(p) + 7*u(p).\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -45.\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.02 (b) -2\/13 (c) -0.1 (d) -0.09796 (e) 0 (f) -4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 884 or 7958\/9?\nAnswer: 7958\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 170, -6, -2, 386 in increasing order.\nAnswer: -6, -5, -2, 170, 386","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**3 + t**2 + 3154*t + 1019. Determine s(0).\nAnswer: 1019","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**2 - 126*v - 1936. What is y(-18)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 35 and 798.\nAnswer: 3990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnjjj. What is prob of sequence nj?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 795036.5ug to nanograms.\nAnswer: 795036500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 15383.28l?\nAnswer: 15383280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 2 - 6 = 0. Let j = x - -5. Let i = 2 - 2.3. Which is the third biggest value? (a) j (b) -0.5 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the first derivative of 143*j**3 - 68. Let v(t) = -t. Determine v(z(u)).\nAnswer: -429*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 903*b - 21349 - 18792 + 13051 for b.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 34*u**2 + 244*u - 16. Let o(m) = -2*m**2 - 3*m + 1. Let c(r) = -16*o(r) - p(r). Let c(h) = 0. Calculate h.\nAnswer: -98, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -90 - -92. Let x(r) = r + 1 + 46*r**2 - 78*r**g + 34*r**2. Suppose -4*f + 2 + 10 = 0. What is x(f)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 + -2. Suppose -5*i = c*b - 58, i + 2*b = b + 12. Solve x + 3*o = -7, 20 = 2*x - 5*o - i for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 88 = -2*c. Let b be 12\/(-2)*c\/(-6). What is the units digit of 15\/(-6)*b\/10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 24 + -14. Is x\/(-10) + 6\/1 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/((o**5*o)\/o)*(o**(-3)\/o)\/o*o)\/((o\/o**(-1\/4))\/o**2))\/(o**(-2)\/(o*o**(1\/5)))**(-25) assuming o is positive.\nAnswer: o**(-349\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 6700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 659\/3 + -208. Let z = 72901\/2 - 37331. Let k = z + 832. What is the common denominator of k and l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1091 + 170. What is the hundreds digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2258\/(-90) + 19775\/791)*(-10)\/(-4)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -922\/3 + 298. What is the common denominator of h and -9\/7?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 161, 3, -31, -1, 1370 in descending order.\nAnswer: 1370, 161, 3, -1, -5, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssr when three letters picked without replacement from {r: 4, s: 16}.\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 15) to base 12.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -48247.9 times -0.4?\nAnswer: 19299.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 2 + 1)*(4*h**3 + 3*h - 11*h**3 - h) + 0*h**3 - 3*h**3 + 2*h**3 as r + q*h**3 + b*h**2 + k*h and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5312 and 9098816.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the first derivative of l**6\/15 - l**5\/5 - 2*l - 1. Let x(m) be the first derivative of a(m). Factor x(w).\nAnswer: 2*w**3*(w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, 33, -11, -1 in descending order.\nAnswer: 33, 2, -1, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 539029?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sum 40601 and -561.02.\nAnswer: 40039.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.68 minus 15772?\nAnswer: -15771.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -11815b (base 13) to base 7\nAnswer: -3356466","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/18 and 53\/2705571.\nAnswer: 5411142","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 10 = -2*d, h + 3*h = 5*d - 11 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4298044 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 229280 = 5*a, 0 = 2*z - 75*a + 77*a - 91700. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 11 - (13809\/(-10) + 65\/(-650)). Calculate the highest common factor of o and 1972.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-7) + (-11)\/((-7315)\/(-57)). Let j(n) be the second derivative of -v*n**3 + 0 + 15*n + 1\/20*n**4 + 3\/10*n**2. Determine p so that j(p) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 25.9 + 0.483797.\nAnswer: 26.383797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q = 3*q + 4*q - 24 for q.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 8 = -5*m. Let v(r) = r**3 + r**2 - 2*r + 3. What are the prime factors of v(m)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -232 - -234. Suppose w = -o*u + 38, 23 = -3*u - w + 80. Is u less than or equal to 16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.068 or 1404772?\nAnswer: -0.068","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -26 + 50. Are v and 25 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22103 (base 4) to base 9.\nAnswer: 812","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1978663, 1978852, 1979041, 1979230, 1979419, 1979608?\n\"Answer: 189*t + 1978474","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-26)\/2)\/(25\/750*-6).\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -28 - -28. Suppose t = -2*p + 6*p - 8. Solve -12 = -p*x - 4 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3009, 7548, 15133, 27288, 45537, 71404, 106413, 152088?\nAnswer: 209953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*a**2 + 62*a**3 + 61*a**3 - 2*a**2 - 119*a**3.\nAnswer: 4*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 184 + -74. Let b = -104.7 + t. Round b to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -20 (b) 3\/7 (c) -2\/19 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 3.83 - 4\nAnswer: -0.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rlrrrhlrhrlrrl. What is prob of picking 2 r and 1 l?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 18*p**5 + 3*p**4 + 13*p**3 - 27*p**2 + 564452*p.\nAnswer: 360*p**3 + 36*p**2 + 78*p - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + (-65)\/(-91)*-7?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the second derivative of 0*q**5 + 2\/3*q**6 + 0 + 21\/2*q**2 + 0*q**3 + 0*q**4 - 2*q. Find the first derivative of i(t) wrt t.\nAnswer: 80*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 111633.\nAnswer: 3, 127, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**3 + 7*l**2 - 7*l + 6. Let f be (-2)\/2 + (-6 - 1). Let w be u(f). Let v(r) = -8*r - 5. Let h be v(w). Which is greater: h or 10?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < 4\/66847615?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/(-8)*((-152)\/(-28) + -4)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - ((1 - 6) + (-2 - -7)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*r - 32 = -22*r. What is the highest common factor of r and 88?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**2 + 21*f + 76. What is v(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15406?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1385035?\nAnswer: 5, 277007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 5 = 0, 2*t - 137*y - 41 = -132*y. Solve t*o - 33*o - 175 = 0 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 194977 + -194977.84071. Let d = w + 0.84. What is d rounded to four dps?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -185*y**3 - 164*y**3 + 526*y**3 - 180*y**3.\nAnswer: -3*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*o - 8*o - 12*o = -365. Solve 11*w - o = -29 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*z**(-1\/2)*z*z*z**(-4\/23)*(z**(-29))**(-33) assuming z is positive.\nAnswer: z**(44129\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:43 AM and 8:33 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1470905.\nAnswer: 5, 294181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a decade in months?\nAnswer: 330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 36 + 3356?\nAnswer: 3425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**3 + 8*x**2 - 11*x + 11. Let d be y(6). Let c = -14 + d. Solve -c*o + 5*o + 4 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -51216 to the nearest one hundred.\nAnswer: -51200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 4*n = 149 - 50, 2*y = -3*n + 41. Let t(a) = -4182*a - 42. Let i be t(y). Round i to the nearest ten thousand.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2180808 and 8654.\nAnswer: 2180808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -12*p**2. Let d(r) be the first derivative of r**2 - 34. What is b(d(n))?\nAnswer: -48*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/12*(-8)\/((-128)\/(-216))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (2464\/(-154))\/((8\/(-30))\/(22\/(-55)))\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -16 (b) 2 (c) 7102 (d) 4 (e) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2552.003 and 1.545.\nAnswer: -2550.458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1\/16)\/(72\/32). Let z = -25\/36 + f. Which is the nearest to -1\/2? (a) z (b) -3 (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*x**2 + 2*x**4 - 2*x**2)*(26 + 126 + 22) as l*x**3 + g*x**2 + o*x**4 + y*x + s and give o.\nAnswer: 348","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1085447374 to the nearest integer?\nAnswer: 1028","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 195*o**2 - 11*o + 11. Let k(r) = 97*r**2 - 5*r + 5. Let y(c) = -4*g(c) + 9*k(c). Let q be y(2). Let x = -170 + q. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 34\/100 + 5\/(-2). Let a = m + 449\/150. What is the biggest value in 5, 1, a?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:05 PM and 1:49 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**3 + 229*x**2 - 28*x - 45520. Give a(228).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 430*81\nAnswer: 34830","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand w + w - 4*w + (-2 - 1 + 1)*(w + w - w) - 1 + 1 - 2*w + 119 - 23*w - 119 + 6*w + 4*w + 0*w - 4*w + 5*w + 0*w + (-1 + 1 - 2)*(w - 1 + 1).\nAnswer: -20*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57111 is divided by 238?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -3 - 3 - -6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -575 divided by 4?\nAnswer: -575\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 14955?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-56 + 130 - 75 + 3*c)*(20 + 1 + 0) as u*c + y and give u.\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 + 4. Let i = s + 14\/3. Are 3\/2 and i unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 79 = 4*f, -2*f - 3*j = j - 12. Let q be (-2)\/f + (-4)\/(-32). Does 12 divide q - (-13)\/((-39)\/(-144))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10.9 times 2.4\nAnswer: -26.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 271649372?\nAnswer: 2, 83, 443, 1847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/1106 and -99\/152.\nAnswer: 84056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 7 (b) -4\/161 (c) 0.3 (d) -4.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1697 + 1781. Calculate the remainder when k is divided by 57.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1488 is divided by 742?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2392*q = -2397*q - 4*t - 79, 3*q = 5*t + 145 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g\/(g*(g\/(g*g**(-1\/3))*g)\/g))**(-47)\/((g*g*g*g**(-2\/5))\/g*g*g\/(g\/(g\/g**(-2\/5)))) assuming g is positive.\nAnswer: g**(-106\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -12*p**2 - 275*p + 564. Let v be a(-24). Solve -310*i - 464 = -v*i for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 14*f + 15. Let p(t) = t**3 + 2*t**2 - 8*t + 4. Let c be p(-4). What is the tens digit of a(c)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 44341 (base 6) to base 12\nAnswer: 36b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -17, 5, 289.\nAnswer: -17, 4, 5, 289","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in two fifteenths of a minute?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20202 and 21636342.\nAnswer: 21636342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 88 - 45. Let u = r - 40. Calculate the remainder when 18 is divided by u.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = p - 136. Let y be 11\/(2*1\/p). Suppose h - 392 = -3*h + 4*m, y = 2*h + m. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**2 + 13*t + 13. Give u(-12).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 49.27184 litres in millilitres?\nAnswer: 49271.84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11 + 21. Suppose -5 = -d + 2*h, d + 3*h - x = -d. List the prime factors of d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.461 times 406\nAnswer: 187.166","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -61*k + 65*k + 16 - 108 in the form x + c*k and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -108.34102436 rounded to 1 decimal place?\nAnswer: -108.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0005983462 to 4 decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 168389 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the third derivative of 17*y**7\/105 - 71*y**4\/24 - 7*y**2 - y. Find the second derivative of n(j) wrt j.\nAnswer: 408*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1111011100000010101 (base 2) to base 11\nAnswer: 316089","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4932 + -129a?\nAnswer: 3643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 264 = 2*u - 4*g, 5*u + 4*g = 366. Suppose -4*m + 274 - u = 0. Suppose 6*b - b - m = -3*c, -2*b + 2*c + 14 = 0. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 137.65 - 172.65. Suppose 4*n = -u + 7, u - 4*n = -13 + 4. Which is bigger: u or r?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 + -6. Let t(a) = a**2 - 7*a + 9. Let j be t(6). Solve 0 = -4*u + m - j, -3 = -2*u - 2*m + d for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 2*o - 25. Let m be a(15). Let y(v) = -10*v + m*v + 7*v - 3. What is y(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1814054.\nAnswer: 2, 11, 82457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 64 + -36. List the prime factors of x.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as 1\/24156086?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0054396474 rounded to four dps?\nAnswer: 0.0054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 568\/(-94) + 6 + 0?\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2810 rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/27 - 68\/18. Let c be p*(-2 - (-7)\/4). Which is smaller: c or -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13618 is divided by 1466?\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 4*d - 11 = j, 0 = 2*j - 2. Factor 0*m + 2\/3*m**4 + 0 + 2\/3*m**2 + 4\/3*m**d.\nAnswer: 2*m**2*(m + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 385*p - 703*p + 469*p as u*p + z and give u.\nAnswer: 151","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 divided by 981.\nAnswer: -10\/981","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = 2*h + 16, -4*h + 3*h + 22 = -4*m. Let q(s) = 78*s**2 - 48*s**h - 35*s**2. Let y(b) = -32*b**2. Calculate y(q(w)).\nAnswer: -800*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) -83 (c) 3 (d) 0.021\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 22\/143 + (-4379)\/(-13) + -1. Let w = 523 - a. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 1 - 3*v**2 + 20*v**4 + 2*v - 28*v**4 as o + q*v**2 + n*v**4 + f*v + x*v**3 and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 61\/120 + 7\/24. Let v = -550 + 550.2. Sort 8, 2, q, v in increasing order.\nAnswer: v, q, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(1\/3))**(2\/101)\/((h**(-8)\/h)\/(((h*(h*h**(4\/13)*h)\/h)\/h)\/h)) assuming h is positive.\nAnswer: h**(36689\/3939)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 3*w**3 - 5*w + 4. Calculate j(3).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 74, 252, 430?\nAnswer: 608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 497 a factor of 1294848?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 12*-1*2\/4. Let h = q + 7. What is the highest common factor of 2 and h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -330 divided by -3\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - 2*g = 20. Let h = -32 + 40. Solve 2*p = -3*k + 3*p + h, -g*k = -2*p - 13 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22473090.\nAnswer: 2, 3, 5, 43, 5807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85 is divided by 25?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -22 - 120. Let i = 138.97 + p. Let u = -3 - i. Is u at most as big as -0.04?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -510, -504, -494, -480?\n\"Answer: 2*p**2 - 512","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 566865 is divided by 105.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 2*f**2 - 3*f - 4. Let v be k(3). Suppose -v*o = -7*o - 2. Is 0.5 at least as big as o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**2 + 36*n - 154.\nAnswer: -2*(n - 11)*(n - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5141220 + -124?\nAnswer: 5141052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 29.2 + -29.71. Sort 0.2, -4.5, b.\nAnswer: -4.5, b, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * -19.\nAnswer: 5.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -40*s**3 - 3*s + 607053 - 303529 - 303526 + 2*s**2 in the form z + h*s**3 + q*s + d*s**2 and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 - -5541?\nAnswer: 5550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 69 - 2 - (-54 + 56)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 355218874.\nAnswer: 2, 177609437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-5)\/76)\/1)\/(((-21115)\/328)\/103)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.061? (a) 0.5 (b) -1\/3 (c) 107 (d) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*x + 1744 + 1040 = 84*x - 2844 for x.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 12 and 13\/350.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 238, 1873, 6308, 14941, 29170?\nAnswer: 50393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 3817, 29904, 100039, 236032, 459693, 792832, 1257259, 1874784?\n\"Answer: 3635*v**3 + 214*v**2 - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (30223\/116)\/((-5)\/(-10)). Let n = v - 521. What is the common denominator of (-6)\/12*145\/10 and n?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**3 - 4*g**2 + 2*g. Let u be j(4). Let z be 4\/(-22) - 2\/(-11). Suppose 2*i - 6 - u = z. List the prime factors of i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1379692*n**2 + 10*n + 2010628*n**2 - 10*n.\nAnswer: 3390320*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the third derivative of -13*d**7\/105 - d**6\/30 + 815*d**3\/6 - 39*d**2 + 6*d. Find the first derivative of y(i) wrt i.\nAnswer: -104*i**3 - 12*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p - 3. Let o be x(-3). Let q(j) be the second derivative of 2*j**4\/3 - j**3 - j**2 + 2*j. Let z(u) = 15*u**2 - 11*u - 4. Give o*z(w) + 11*q(w).\nAnswer: -2*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jcat when four letters picked without replacement from {a: 2, k: 1, t: 2, c: 1, j: 2}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 3) to base 9\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/((-162)\/15) - (-3)\/(-6)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**3 + 11*d**2 + 6*d - 22. Let u be r(-10). Suppose -u*w + 8 = -16*w. Find the common denominator of 20 and w + (240\/(-65))\/1.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the second derivative of k**3\/6 - 3*k**2\/2 - 6*k. Let d(u) = -1. Calculate 5*d(o) - 2*v(o).\nAnswer: -2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 91*l + 2784 - 3967 for l.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 3 l when four letters picked without replacement from {e: 2, l: 3}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -27209 - -27212. Let r(m) be the first derivative of -8 + 7\/2*m**2 + 0*m - 1\/3*m**d. Calculate r(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16183, -16297, -16447, -16645, -16903, -17233?\nAnswer: -17647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10068089?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -91, -431, -1327, -3049, -5867, -10051?\n\"Answer: -45*x**3 - 8*x**2 - x - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppppdpdd. What is prob of sequence pddp?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -189 - -189. Is ((-2)\/(-6) - i)\/((-4)\/(-2676)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7200 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2047 is divided by 291?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**3 + w**2 + 2*w + 3. Suppose y + 2 = -0*y. Let m be o(y). Which is the closest to 0? (a) 0.4 (b) m (c) 0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 744807?\nAnswer: 3, 7, 29, 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12 - 7. Let p be (-2)\/(-2) - (h + -6). Let j(o) = 0*o - p - o + 2. Let y(q) = 3*q**2. Determine y(j(t)).\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15278650 is divided by 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4120*i + 4133 - 2014 + 6121 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 179 + -176. Let g = 31 + -92\/3. Which is the nearest to 1\/4? (a) 0.5 (b) j (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q. Let b(r) = -2 + 1 - 6*r**2 + 11*r**2 - 4*r**2. Calculate b(f) + j(f).\nAnswer: f**2 + f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times -122\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1213 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -202040, 1 in ascending order.\nAnswer: -202040, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 573*u - 300*u - 268*u - 34 = -4*h, -20*h + 2*u = -116 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2720 = -799*x + 714*x for x.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -3*w - 1. Let x(c) = 10*c - 3. Let g(q) = -2*j(q) - x(q). What is g(3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*p - 2*p - 4*p + 44802. What is the tens digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the first derivative of -8*f**2 - 12*f - 3. Let j be w(8). Let l = 274 + j. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -43072, -344467, -1162488, -2755435, -5381608, -9299307?\nAnswer: -14766832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5571758440?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 515\/6*w**2 + 505\/6*w**3 + 0 - 85*w - 515\/6*w**4 + 5\/6*w**5 = 0?\nAnswer: -1, 0, 1, 102","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -24\/11*b**3 + 2\/11*b**4 + 42\/11*b**2 - 20\/11*b + 0.\nAnswer: 2*b*(b - 10)*(b - 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**2 + 11*b - 7. Suppose n + 28 = 4*t + 3*n, -3*t + 11 = 4*n. Does 3 divide x(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 89591029, 89591050, 89591093, 89591164, 89591269?\n\"Answer: d**3 + 5*d**2 - d + 89591024","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -8, 3*y - 321 = 4*n - 59. Let m be 3\/6 + (-70)\/(-4). Let z be (-6)\/((-21)\/m - -1). What is the greatest common factor of z and y?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1231894163.\nAnswer: 79, 467, 33391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12 by 84.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2403)\/4806 - (-37)\/(-2)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.44 - 1.4036. Let d = 109.7 + -109.6369. Let p = l - d. What is p rounded to three decimal places?\nAnswer: -0.027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 495 and 440?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*t + t + 5*t + (4*t + 2*t - 4*t)*(-1 + 4 - 1) + 0 + t + 0 - 19 + 19 - t - 79*t + 8 + 5 - 14 to the form m*t + g and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 58\/215 and 72\/35?\nAnswer: 1505","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1102 and 152.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(76) + 2*sqrt(76)*-6 + sqrt(76) + 4*(0 + sqrt(76)).\nAnswer: -12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of -j**6\/15 + 2*j**5\/25 + j**4\/5 - 4*j**3\/15 - j**2\/5 + 2*j\/5 + 9. What is a in f(a) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2061.4185 - -2056.6185116. Let i = 4.8 + o. What is i rounded to 6 dps?\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91 - 101 = -2*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 282932074 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: Let r = 509\/3393 - -1\/261. Let k = 4.05 + -0.05. Which is the closest to 3? (a) k (b) r (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1cd67 (base 15) to base 9\nAnswer: 153127","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 37582 = -2*g, 2*g + 51*f - 50*f - 37594 = 0. List the prime factors of g.\nAnswer: 2, 9397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 2 w when three letters picked without replacement from wwswwwsif.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 + -29. Let k = i + 36. Suppose -4*p = -2*q - 58, 4*q + k = p + 2*q. What is the highest common factor of p and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8394*k**2 + 2810 - 2810 - 3*k)*(-2*k - k + 2*k + 2 - 2*k - 2 + (-2 - 3 + 4)*(4*k + k - 4*k) - 4*k + 0*k + 3*k - 2*k - 3 + 3).\nAnswer: -58758*k**3 + 21*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 83801167 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the first derivative of n**7\/42 - n**3\/2 + 2*n - 3. Let t(l) be the first derivative of g(l). What is the second derivative of t(h) wrt h?\nAnswer: 20*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 293595 and 2683203.\nAnswer: 2553","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.024 take away -0.161?\nAnswer: -4.863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 297 and 619619?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**3 + 122*k**2 - 632*k - 9. Is l(110) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 7\/4 of a millennium?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the first derivative of 0*h**2 + h + 0*h**3 + 0*h**4 + 6 - 3\/5*h**5. Differentiate b(g) wrt g.\nAnswer: -12*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 27 = -h, -2*h + 53*g - 56*g + 176 - 202 = 0 for h.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 35831 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*a + 3*a + 2*y - 35, 2*a + 35 = 5*y. Let k = a - -12. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6571200*w + 900884638 + 2338*w**2 - 1206*w**2 + 2351*w**2 - w**3 + 957*w**2 + 2340907362.\nAnswer: -(w - 1480)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5b + 125?\nAnswer: b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -1 + 28 + -7 + -8 + -51.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*d - 3*d - 9, -7*u + 136*d + 128*d - 63 = 266*d + 6 for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 150 and 7870.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 4*b**2 + 28*b - 6427. Give a(-45).\nAnswer: 413","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 234555 and 285.\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 26.5394393 to 0 decimal places.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9? (a) 148 (b) 4 (c) -2\/15 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -34e964 + -50?\nAnswer: -34e9b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1062 - -1104. Calculate the remainder when 795 is divided by j.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(24) - (sqrt(72)\/sqrt(3) + sqrt(24))*3) + sqrt(24) - sqrt(24))\/(sqrt(972) + sqrt(972)*2 + sqrt(972)).\nAnswer: -5*sqrt(2)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 64262 and 46.\nAnswer: 64262","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*s**5 - 37047*s**4 - 74*s**2 - 9*s - 183369 wrt s.\nAnswer: 40*s**3 - 444564*s**2 - 148","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 35168847 and 294.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l = 114*l - 6306 + 951 for l.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -3*j - 35, -3*j - 2*d = -j + 40. Let v be 3\/6 - j\/(-36). Let y = -3 + 2. Which is greater: y or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence epoi when four letters picked without replacement from {i: 2, o: 1, p: 2, e: 7}?\nAnswer: 7\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - 3*v - 3*g - 51, 5*v + 125 = -5*g. Let s = v + 22. Let r be (-3)\/(3\/(-148)) - s. What is the highest common factor of r and 60?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.014 - -0.314. What is y rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2\/15, -73.85 in ascending order.\nAnswer: -73.85, -3, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 12\/(-1) + 1545\/103. Solve -5*o = 5*c + 15, 17*o - 13*o + 26 = y*c for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the second derivative of -i**7\/7560 - i**6\/160 + 7*i**5\/360 - 7*i**4\/4 - 3*i**2\/2 + 46*i. Let a(r) be the third derivative of t(r). Factor a(x).\nAnswer: -(x + 14)*(2*x - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -4 + 5\/(-5) + 0. Put 2\/23, 0, -0.2, l in descending order.\nAnswer: 2\/23, 0, -0.2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4660865 is divided by 423714.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 6083232361 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 370469?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 4741*u - 7059*u - 8694*u in the form w + n*u and give n.\nAnswer: -11012","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2*(4\/8)\/((-3)\/(-6)). Is -13*((-1)\/n)\/(4\/8) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -104 and -124.\nAnswer: 12896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*w - 23*w + 23*w**2 - 105*w**2 + 47*w.\nAnswer: -82*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/4)\/((-90)\/3195) + 9?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 176473?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*(-3 - 1)\/(-4 - 2) - -4?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 3*i = -i - 5, n - 5 = -2*i. Suppose -p - 8 = -24. Suppose c - p = n. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1103797 to the power of 1\/2, to the nearest integer?\nAnswer: 1051","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 380772.3 decades to millennia.\nAnswer: 3807.723","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3986*w**4 + 141*w**3 - w - 4902696 wrt w?\nAnswer: 15944*w**3 + 423*w**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*m**2 - 2*m**2 - 2*m**2)*(13744 - 13744 - 80*m) + 2*m + m**3 - 2*m in the form f + y*m**3 + c*m + u*m**2 and give y.\nAnswer: 161","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47 is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3424?\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-87)\/58 - (-6)\/4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -5*y, -7*y + 2*y + 14 = -2*d. Let r(w) = -w**3 - 3*w**2 - 3*w - 1. Determine r(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -108*v**3 + 2*v**2 - 160 wrt v?\nAnswer: -648","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 154*d**2 + 139 wrt d?\nAnswer: 308*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 671325 (base 8) in base 3?\nAnswer: 102111000120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 32*(-18)\/(-16)*18\/81. What is the smallest common multiple of ((-4)\/6)\/(4712\/(-588) + i) and 77?\nAnswer: 539","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 2*b + 14. Let j(s) = -s**3 + 15*s**2 - 27*s + 13. Let h be j(13). What is g(h)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 5740722?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 - ((-36)\/84 - 4\/7). Solve -7*t - z = -6*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -18, 274, -2 in ascending order.\nAnswer: -18, -2, 274","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8441434 is divided by 133991?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**3 - 22*b**2 + 20*b + 22. Let w be n(21). Let z be 2\/(-42) - 2\/(-6). Is w greater than or equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*o = 12*o - 60. Let p(d) = -7*d - 36*d**2 + 15*d**2 + 3 - 2*d + o*d**2. Determine p(-9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((1\/8)\/(791\/(-300580)))\/((-6)\/(-12))?\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1244403011 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + i = -17, 3*r = -4*i - 3 - 26. Let o be 6 - (r + (-3 - 2) + 12). Let -3*f**4 + 0 - 9\/8*f**5 + 3*f**o + 3\/2*f - 3\/8*f**3 = 0. What is f?\nAnswer: -2, -1, -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - a = -6. Let z = a + 0. Solve 4*k - 5*k - 3*d = -z, 0 = -2*k + 2*d - 10 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = r + 71 - 93, -5*r - z = -62. What is the greatest common divisor of r and 136?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 45 + -55. Let c(v) = -3*v**2 - 32*v - 15. Let k be c(r). Factor 2\/5*w**2 - 1\/5*w**4 - 1\/5*w + 2\/5*w**3 - 1\/5*w**k - 1\/5.\nAnswer: -(w - 1)**2*(w + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 3*l = 3*n + 9, -4*n - l - 6 = 0. Let d be (n\/(-6)*-10*2)\/2. What is the closest to -1\/2 in d, -1\/3, -0.4, -5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 13 + 12 + 10 - 35 - 7*w. Let y(z) = 3*z + 0*z - 7*z - z. Calculate y(l(g)).\nAnswer: 35*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1038 - 564. Is 13 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3970?\nAnswer: 2, 5, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18 and 8724.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-2))**(1\/30))**(16\/3) assuming l is positive.\nAnswer: l**(-16\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*x**4 + 149315*x**3 + 298615*x**2 + 149305*x.\nAnswer: 5*x*(x + 1)**2*(x + 29861)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 194162?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 646 divided by -111.\nAnswer: -646\/111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 18*i**2 + 2*i. Let t be j(4). Suppose -5*l + t = -249. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 306678 is divided by 626?\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1752082 is divided by 2521?\nAnswer: 2508","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 450660176?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4772435?\nAnswer: 5, 317, 3011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1224216 and 6272.\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) -0.0175 (c) 2\/6573\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*z**4 + 0*z**4 - 2*z**4 + (-15*z**2 - 13*z**2 + 6*z**2)*(68 - 68 + 22*z**2).\nAnswer: -482*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.4 - -2.3. Let a = -1\/57 + 26\/399. Let b = a - -19\/42. Which is smaller: x or b?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1779228220 to the nearest one million.\nAnswer: -1779000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80358 is divided by 27?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 87\/4 of a microgram in nanograms?\nAnswer: 21750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1, 18, 51, 98, 159, 234?\n\"Answer: 7*t**2 - 2*t - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-4))\/(((-325)\/52)\/(-25))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the first derivative of y**3\/6 - 67*y**2\/2 + 133*y\/2 + 805. Solve m(t) = 0 for t.\nAnswer: 1, 133","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42247 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.1, -0.09, 84\/13 in descending order.\nAnswer: 84\/13, 1.1, -0.09","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xnnlxxcnnxxxlxzz. Give prob of picking 1 n and 1 c.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 52051523?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 77 = 3*o, -z = -5*o + 2*z + 107. Calculate the greatest common factor of o and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4965\/17? (a) 0.1 (b) -0.2 (c) 0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -3*n. Let m(o) = -21368*o**2 + 3*o. Give m(r(u)).\nAnswer: -192312*u**2 - 9*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4 + -3)*1*5. Let t(q) = -q**4 - 6*q**3 - 12*q**2 - 7. Let z(i) = i**4 + 4*i**3 + 8*i**2 + 5. Let g(n) = r*t(n) + 7*z(n). Factor g(y).\nAnswer: 2*y**2*(y - 2)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, u: 10, a: 1, x: 7}. What is prob of sequence ut?\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 377765*w**3 - 1195152*w?\nAnswer: 2266590*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -286131 bigger than -291?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2346593 is divided by 82.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -85, -89, -95, -103, -113, -125, -139?\n\"Answer: -n**2 - n - 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}