diff --git "a/data/dm_maths/full_data_1/1294_11255.jsonl" "b/data/dm_maths/full_data_1/1294_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/1294_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: 10111000111111000100000 (base 2) to base 16\nAnswer: 5c7e20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -462, -927, -1406, -1905, -2430, -2987?\nAnswer: -3582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*r**4 + 17*r**4 - 24*r**4 + (-4 + 5 - 2)*(-r + r - r**4).\nAnswer: 4*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -5*j**5 + 555365*j**4 - 2221375*j**3 - 555425*j**2 + 8885580*j - 6664140 = 0.\nAnswer: -2, 1, 2, 3, 111069","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -122*d**3*s**3 - 3*d**3*s**2 + 17*d**3*s + s**2 - s wrt s.\nAnswer: -732*d**3*s - 6*d**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 504290?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 637*o**5 - 7*o + 9 - 2572*o**5 - 6*o - 6 wrt o.\nAnswer: -38700*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the first derivative of 7*g**4\/4 - 5*g**3\/3 - 2*g + 4545. Let y(a) = 8*a**3 - 6*a**2 + a - 3. Give 6*s(z) - 5*y(z).\nAnswer: 2*z**3 - 5*z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - 243 - 447. Calculate the highest common factor of 207 and g.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85234 is divided by 34.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -2*x - 5*t, -4*x - 5*t = -15 - 7 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 3*j - 20 = 0. Suppose 4*i + 5*l = 12, 3*l + 15 = j*i + 4*l. Suppose 33 = 4*c - 5*a, 7*a - i*a = 4*c - 28. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 15 + 15 = 0. What is the lowest common multiple of j and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1a (base 12) in base 13?\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0.2, 1\/4, 2, -0.5 in decreasing order.\nAnswer: 2, 1\/4, 0.2, -0.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 65 and 494?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 5*r - 31, -3*p - 4*r + 32 = p. Let a be 1*p*2\/12. What is the second smallest value in -0.5, a, -1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b + 602 = 6*b. Suppose -47*q + b*q = -844. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*h + 3*h - 2*h)*(0 + h + 0 + (-2*h + 2*h + h)*(3 - 3 + 2)) as b + u*h + m*h**2 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g**2\/3 + 257596*g - 24883387206 = 0. What is g?\nAnswer: 193197","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 113695?\nAnswer: 5, 22739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add -13 and 309.\nAnswer: 296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) 0.2 (c) 19 (d) -0.06 (e) 2.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 13148 = -3*n, -450*v - 3 = -453*v. What are the prime factors of n?\nAnswer: 13, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 239 = -8*q - 201. Let f = -35 - q. What is the remainder when 44 is divided by f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 923 is divided by 459?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 81279245 to the power of 1\/2, to the nearest integer?\nAnswer: 9016","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 25*b - 137 = 1038, -5*y + 3*b + 141 = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(36) - sqrt(36)*1))\/(-2*sqrt(300)) - (-4 + -2*sqrt(108)*3))**2.\nAnswer: 288*sqrt(3) + 3904","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26*f**2 - 47 + 47 - 3*f + 18*f**2)*(-15*f + 7*f + 3*f).\nAnswer: -220*f**3 + 15*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -9*g**2 + 9*g. Let a(w) = w. What is a(l(q))?\nAnswer: -9*q**2 + 9*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (59 + 26*v - 59)*(-5 + 4 + 3)*(-4 - v - v + 1) in the form f*v**2 + t*v + r and give t.\nAnswer: -156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.7 in 5, -4, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y = y + 10 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13 + -167\/13. Which is the nearest to 8? (a) q (b) -1\/6 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2901)\/171 + 3 + 1 - (89 + -240 - -138)?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51443.77ug in grams?\nAnswer: 0.05144377","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 1*(-3*2*sqrt(1088) + -2*sqrt(1088)*-1)*5.\nAnswer: -160*sqrt(17) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**2 - p + 4. Let u be t(0). Solve u = g - 1 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 359 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**3 - z**2 - 2*z + 11. Let q be -1*(-1)\/(-2)*0\/1. What is w(q)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v + 24 = -3*v. What is the greatest common factor of v and 92?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 3*i - 1. Let r be s(10). Suppose 2*f + 4 = 0, d = -2*d + 4*f + r. Does 5 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52567 = -f + 3*p, -p = 2*f + 3*f - 262755. Suppose -3*g = -5*a + f + 11128, 0 = -5*a - 3*g + 63710. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 65516 and 7304.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 2*w + 14. Let d be c(-6). Suppose -x - d*x = 3*h - 9, 5*h = 3*x + 7. Solve 0*t + x = -t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -2*l**3\/5 + 8*l**2 - 216*l\/5 + 288\/5 = 0.\nAnswer: 2, 6, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 110634973?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**2 + 5*d - 16. Let n be p(-7). Sort 2, n, -4, 4.\nAnswer: -4, n, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 - 28752.24770374.\nAnswer: -28751.24770374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 556358657?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the second derivative of 0*f**3 - 16*f + 0*f**2 + 1\/12*f**4 + 7\/20*f**5 + 0. Find the third derivative of x(a) wrt a.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 99906*i**2 - 83120?\nAnswer: 199812*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -2200000 to the nearest one hundred thousand.\nAnswer: -2200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/46 and -91\/8?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -182 - 0.212\nAnswer: -182.212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/1595 and 7071\/(-440) - (-464)\/29?\nAnswer: 12760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(2\/55))\/((x*x**(-2\/11)*x*x*x)\/x) assuming x is positive.\nAnswer: x**(-102\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p - 5*a = 57, 2375*a - 76 = 4*p + 2381*a for p.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 16 and -0.136.\nAnswer: -2.176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -46 by -23.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3056, 5 in descending order.\nAnswer: 3056, 5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17231?\nAnswer: 17231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 5*a**2 - 214*a + 209. Is 52 a factor of v(53)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 - ((-2)\/1 + -89 + -5). Let j = -28 + b. Is j a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times -15212065?\nAnswer: -1521206.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 190 a factor of 76441560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 - -3. Let a be (3\/(-3))\/((-2)\/4). Let d be (1 - a) + 5 + -1. Solve 0 = s - y + d for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*v**3 + 2*v - 2*v.\nAnswer: 13*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the third derivative of 0*n**4 + 0*n**3 + 5*n**2 + 1\/1344*n**8 + 0*n**7 + 0*n - 1\/160*n**6 + 0 - 1\/120*n**5. Factor a(v).\nAnswer: v**2*(v - 2)*(v + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101011011001 (base 2) in base 4?\nAnswer: 223121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 56*y + 17*y + 27*y**2 + 245*y**2 - 1489*y + y**5 wrt y.\nAnswer: 20*y**3 + 544","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51768893?\nAnswer: 11, 17, 276839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: 5032\/544*((-30)\/(-9))\/(-5)*-6\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5181*x + 5162*x + 4256 = 0. Solve -6*p - 200 = -x for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 0 + s + 0. Suppose 3*m + 78 - 60 = -3*o, -26 = m + 5*o. Let k(u) = -3*u. Give m*k(h) - 4*g(h).\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 8b25 (base 14) to base 16\nAnswer: 5e4d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**2 - 7964*l - 15856324.\nAnswer: -(l + 3982)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*k + 12 - 3 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k**2 - 11 + 24 - 10101872*k + 2*k**2 + 10101958*k)*(3 - 3 + 2).\nAnswer: 4*k**2 + 172*k + 26","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 18245.76mm in meters?\nAnswer: 18.24576","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o = 3*o + 1625. List the prime factors of o.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 + 0. Suppose 2 = -2*t, -m*t = r - 3 + 1. Suppose 62 = -r*f + 282. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5\/6 + -7\/6. What is the nearest to 1 in h, -17, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times -26451?\nAnswer: 105804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 38 = 34, 5*l - 26 = s. Solve -4*j + 4*n = -2*j + 6, -l*j = -5*n for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69049.\nAnswer: 29, 2381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(75\/(-10))\/(6\/(-4)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1135227\/7636370 + -132\/9245. Calculate the common denominator of p and -143\/84.\nAnswer: 4956","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(4 + (-2*(-1*sqrt(240) + sqrt(240) - sqrt(240) - sqrt(240)))\/((-3*sqrt(72))\/sqrt(6))).\nAnswer: -4 + 8*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*y + 4955 - 3470 = 3936 for y.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9*v**5 - 1951*v**3 + 29725*v**2?\nAnswer: 540*v**2 - 11706","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(192) - (4 + sqrt(192) + -1) - (-1 + sqrt(192) + 2)) + -2)**2.\nAnswer: 96*sqrt(3) + 228","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 201*d - 6. Let w(h) = 712*h. Give w(r(v)).\nAnswer: 143112*v - 4272","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -12 + 22 - (1 + 2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - 0 - (67 + -64).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 544 at most 544?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vffhmffmmm. What is prob of sequence hmff?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3689, 7377, 11065, 14753?\nAnswer: 18441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 8) in base 6?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -17*b**2 - 5*b + 186. Let l(j) = -2*j. Calculate l(c(q)).\nAnswer: 34*q**2 + 10*q - 372","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9 in 0, -2, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the first derivative of -7 + 3*d**3 + 0*d - 1\/2*d**2. Is 10 a factor of j(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 155 = -3*w + f + 163, -7*f = -3*w - 16 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 262*t - 244*t = -72. Which is the nearest to 0? (a) -1\/7 (b) t (c) 3 (d) 0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 2*w - 12 - 22, 10 = 5*g. Let i = 55 + -50. Solve 0 = -0*a + i*a - w for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 30 and 3715.\nAnswer: 22290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**3 - a**2 + a - 275. Let h(o) = -o**2 + o. Let x be h(0). Let b be g(x). Let v = b - -409. List the prime factors of v.\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:31 AM and 6:05 AM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -11*v - 3662. Let m(w) = 17*w + 5487. Determine -14*h(l) - 9*m(l).\nAnswer: l + 1885","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a litre in millilitres?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15075 is divided by 13859?\nAnswer: 1216","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**2 - p - 1. Let o(n) be the first derivative of n**5\/5 + 3*n**4\/4 - n**3\/3 + 5*n**2\/2 + 4*n + 1. Let z(m) = -4*d(m) - o(m). Factor z(t).\nAnswer: -t*(t + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-182)\/(-4)*3984\/(-6972).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 2*g - 2446 = 0, 11*c - 6*c + 4*g = 2458. Let j = 439 - c. Sort j, -2, 1 in increasing order.\nAnswer: j, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:29 PM and 6:07 AM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the third derivative of -n**5\/15 - 24*n**2. Let u(k) be the first derivative of k**3 + 118. Give c(u(p)).\nAnswer: -36*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the second derivative of -b**7\/42 + 3*b**5\/20 - b**4\/6 - 47*b + 4. Find p, given that g(p) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -144 + 2*c**3 + 144 - 3*c**3.\nAnswer: -c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.5+127673\nAnswer: 127672.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-20)\/(-6))\/((-2)\/(-3)). Suppose -8*h - 11*h = 95. Sort 19, n, h.\nAnswer: h, n, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 94000.\nAnswer: 2, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(242)*-1 + -5 - 3*sqrt(242)*-2) + (-1*(-2 + 1*sqrt(242)))**2*-3).\nAnswer: -743 + 187*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -96*s + 49*s + 50*s. Let i(r) = -100*r - 34*r + 115*r. What is i(c(x))?\nAnswer: -57*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*k**6 - 89452*k**4 + 97654*k**2 wrt k.\nAnswer: -240*k**3 - 2146848*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 8685.064 to the nearest integer.\nAnswer: 8685","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 33305 - 20053. What are the prime factors of n?\nAnswer: 2, 3313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 764 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 332011 (base 4) to base 9\nAnswer: 5404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 + -5. Suppose -13*f + 202 = -682. What is the highest common divisor of y and f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -12*c**2 + 2. Let n be k(-2). Let t be (170\/(-4))\/(23\/n). What is the greatest common divisor of t and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1974 and 238.\nAnswer: 33558","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8433488.\nAnswer: 2, 7, 31, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 206 + 19?\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2 - 10)\/(-4) - -1. Let y be (-102)\/a*16\/12. Let l = -18 - y. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-50*b**2 + 42*b**2 + 198*b**2)*(1 - 5*b + 1 + 4*b).\nAnswer: -190*b**3 + 380*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.276169779 rounded to 4 dps?\nAnswer: 9.2762","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -1352*u + 1828. Let o(i) = 2713*i - 3656. Let b(h) = -5*o(h) - 9*q(h). Differentiate b(s) with respect to s.\nAnswer: -1397","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s + 13 = b, -7 = -b + 4*s + 10 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6179 (base 15) in base 9?\nAnswer: 31216","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*b + 637 = -48*b. Let j(r) = -r + 1. Let m be j(-6). Calculate the highest common divisor of b and m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -107 + 113. Suppose 12*q - 1026 = x*q. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -16*x + 31 + 5*x + 4*x + 17*x. Let t be c(-3). Is 6\/7 at most as big as t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*a + 3*a. Let s be 8 + -5 + 4\/2. Sort 4, a, s in ascending order.\nAnswer: a, 4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 554 less than -11806?\nAnswer: -12360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 334 a factor of 2963582?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6469 + 10384. Suppose 9*l - f - 3150 = 0. What is the tens digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 7*f**3 - 33*f**2 - 38*f + 7. Give o(6).\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -53337161 + 2.1\nAnswer: -53337158.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 3 + 87939*f - 1 - 54750*f to z + c*f and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/5, -5\/14, -1?\nAnswer: -5\/14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 79051?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a millimeter in micrometers?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, 0.5, -2\/7, -0.989, 2\/11?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dmrrdtsxddmr. Give prob of picking 3 r.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 171 + 4*i**2 + 343 + 174 - 688.\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 112100414 (base 5) in base 7?\nAnswer: 4164104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32911 = -2189*j + 76 for j.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 194784*o**3 - 3838*o - 4.\nAnswer: 1168704*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -534 divided by 89.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 39.165, 0.5, 0.1, 3\/7 in decreasing order.\nAnswer: 39.165, 0.5, 3\/7, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the third derivative of 0 + 0*f + 9*f**2 + 1\/12*f**4 - 3\/2*f**3. What is the first derivative of t(y) wrt y?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.86 - 0.86. Let n be -2 + (-32)\/(-14) + 576\/(-840). What is the nearest to n in -0.3, m, -0.2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 92 + -143. Let r = -29 - d. Let v = r - -15. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3122 is divided by 60?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 140112 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: Calculate 2\/6 - 7\/(-21)*-7.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -58 - -131. Which is bigger: p or 74?\nAnswer: 74","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f**5 - 1080*f**4 + 9350*f**3 - 7200*f**2 - 9355*f + 8280 = 0. What is f?\nAnswer: -1, 1, 8, 207","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 368970 to the power of 1\/3, to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -2*r**2 + 473*r + 2. Let y(u) = -2403*u. Calculate y(s(z)).\nAnswer: 4806*z**2 - 1136619*z - 4806","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 158 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the first derivative of 4*b**2 - 7*b + 6. Is f(2) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -930, 1068, 13178, 42582, 96462, 182000, 306378?\nAnswer: 476778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 41 + -40. Let g be (5 + (-89)\/4)\/(m\/4). Let k = -43 - g. 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: Express (-g + 0*g - 7*g)*((-g - g + 3*g)*(-3 - 4 + 5) + 2*g - 5*g + 4*g + 2*g + 2 - 2 + 110 + 2*g - 110) as j*g + x*g**2 + r and give x.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/(-14))\/(580\/137025*-45)?\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 641373 is divided by 1069.\nAnswer: 1042","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 89 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a - 10. Let i(r) = -15*r + 159. Let y(x) = -33*d(x) - 2*i(x). Let s be y(5). Does 4 divide s\/1 - (-32 - 3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (6*(sqrt(1584) + 0) - -1*sqrt(1584)*-1) + (-5 + 5*2*sqrt(1584))**2.\nAnswer: -1140*sqrt(11) + 158429","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 859 is divided by 120?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 - 20133?\nAnswer: -20132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 137 + 41. Suppose 0 = -3*p + w - 4. Suppose -p*u = -54*u - 100800000. What is u rounded to the nearest one million?\nAnswer: 25000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -2789*m. Let s(i) = -45*i**2. Calculate h(s(t)).\nAnswer: 125505*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 2*g + g**2 - 2*g. Let n(a) = -2*a - 4. Let s be n(-4). Let r(h) = h**2. Let o(y) = 2*y**2. Let z(w) = s*r(w) - o(w). Determine l(z(b)).\nAnswer: 4*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1348 and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 293 = 24*o + 5 for o.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/(-4))\/(-69 + 755803\/10948)\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2941.557, 1, -2.\nAnswer: -2941.557, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:30 AM and 2:44 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**3 - 7*h**2 - 2*h - 14. Let a be d(-7). Suppose 3*w + 2*w - 5 = a. List the prime factors of (-5)\/25*w + 221\/5.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + w - 17 = -4*o, -3*w - 9 = -3*o. Solve 2*u = -5*f + 3, 0 = -5*u + 2*u - o*f + 2 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -b**2\/3 - 10709*b\/3 = 0.\nAnswer: -10709, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 211 is divided by 101?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, -1150, -5.\nAnswer: -1150, -5, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 2*y**2 + 4*y - 13. Let s be t(2). Suppose 5*v + s*j = 4282, -j - 850 = -5*v + 4*v. What is v rounded to the nearest one hundred?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 2*k = n - 28, -3*k = 4*n - 35. Calculate the least common multiple of 149 and n.\nAnswer: 1639","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 603 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 619194.79 rounded to the nearest one hundred?\nAnswer: 619200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2828, -5665, -8522, -11405, -14320, -17273, -20270, -23317?\n\"Answer: -a**3 - 4*a**2 - 2818*a - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1762860 a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1410319971 to the power of 1\/2, to the nearest integer?\nAnswer: 37554","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10, 46, 106, 190?\nAnswer: 298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the third derivative of -m**5\/60 + 7*m**4\/24 - 5*m**3\/6 + 2*m**2. Let a be 16\/4 - (-1 - -1). Suppose -19 = -3*v - a. Calculate n(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3\/4, 4, 5, 0.4, -7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 - (25 + 27) - -1.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:53 AM and 7:40 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes after 11:58 PM?\nAnswer: 10:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 999\/3996 - 10\/(-16)*258\/135*-3\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -8 (base 13) to base 16\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -15 - (-15 - (-1 + 12))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99*a + 69636 - 69870 = -21*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i*i**(-1)\/i))\/i*i)**41\/(i*i*i**(-1))**9*i**6*i\/i**(-3\/2)*i**5*i**(-7\/2) assuming i is positive.\nAnswer: i**83","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -177422 and -1.\nAnswer: 177422","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**2 + 9*j - 14. Let w be k(-10). Sort -5, 0, w in increasing order.\nAnswer: -5, w, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g**(-22)\/g))\/(g\/g**(-12))*g\/g**(3\/5)*g**(-22) assuming g is positive.\nAnswer: g**(-53\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -41 + 124\/3. Which is the nearest to 0.2? (a) 2\/5 (b) -5 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 2\/1535?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -2032728 at most -2032780?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 5 = 5*o, 4*z + 3*o = 4*o + 1. Let v(m) = 2*m**2 - 3*m. Let x be v(2). Let g be (-784)\/308 + (-18)\/(-33). Sort g, z, x in decreasing order.\nAnswer: x, z, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.08*-7.\nAnswer: 0.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the second derivative of 1\/2*o**3 - 7\/8*o**4 + o**2 + 3\/5*o**5 + 2*o + 0. Let h(u) be the first derivative of q(u). Suppose h(c) = 0. What is c?\nAnswer: 1\/4, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -72*o**3 - 239*o.\nAnswer: -432*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**2 - s - 2. Suppose 5*x + 5 = -5. Calculate the least common multiple of 4 and w(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97 is divided by 19.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4005 and 35.\nAnswer: 28035","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:18 AM and 1:09 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -6 + -212a00?\nAnswer: -212a06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -99 + 3*d + 54 + d + 35.\nAnswer: 4*d - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -7, -5, -2, 1\/5, 93839?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -83103 (base 9) to base 5\nAnswer: -3223014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1118, 1127, 1148, 1187, 1250?\nAnswer: 1343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 4 - 6)*(3 + 2*v - 3) + (-2 + 7 + 9 + (3 - 2 - 2)*(1 + 2 - 2) - 3 + 3 - 3)*(71*v + 3 - 3).\nAnswer: 714*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -30 - -85. Is u a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5093.49906 - 5093. Let b = -0.5 + d. What is b rounded to 4 decimal places?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 d when three letters picked without replacement from {i: 4, a: 1, d: 2, y: 4}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13206, -26427, -39662, -52917, -66198, -79511, -92862?\nAnswer: -106257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1\/3))**(-33)\/(v*v*(v*v*v**(-3)\/v)\/v*v)**24 assuming v is positive.\nAnswer: v**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -2*y**2 + 1 + 15*y - y**2 - 14*y + 2*y**2. Let s(x) = 8*x**3 + 88*x**2 - 88*x - 88. Give -2*s(l) - 176*t(l).\nAnswer: -16*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - d = -8, -5*c - 57 = 3*d - 30 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 3*l - 5*o, -l - 2*l + 25 = 5*o. Suppose 0*q + 5*q = l. Suppose q = -4*v + 2*g + 14, 4*g = -3*v - 1 + 6. Solve -6 = -v*d + 6*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.8 + 2.2. Let g(m) = -m**3 - 3*m**2 - 4*m - 6. Let w be g(-3). Let d be 4\/w*(-15)\/(-10). Which is the smallest value? (a) d (b) r (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*h - 383 + 150 - 383 = 0 for h.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2640 - 4?\nAnswer: -2644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 21\/2 of a micrometer?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*r**5 - 627*r**3*w - 2*r*w + r - 2*w wrt r.\nAnswer: 40*r**3 - 3762*r*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -19 (base 16) to base 15\nAnswer: -1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 + -3. Suppose 380 = y*k - 4*z, 4*k = z - 0*z + 386. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 132 and 7.\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 64.1 - 64.1. What is the nearest to 1 in -3\/7, d, 0.01, -2\/5?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**2 + 9*k - 21. Determine d(9).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**3 + 2072*y**2 + 270384*y + 532512.\nAnswer: 4*(y + 2)*(y + 258)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00664196788 rounded to six dps?\nAnswer: 0.006642","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 + 1 + -3)\/((-72)\/54). Solve -5*t + 5 = -p*o - 0*o, -o = 2*t + 9 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 31*t**3 - 3*t**2 - t. Let u be q(-2). Let f = -162 - u. Is f a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -902 - -407. Let y = d + 495. Solve y = -2*o + k - 3*k + 14, 2*k = 4 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1a757 (base 12) in base 7?\nAnswer: -221653","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.128201 rounded to three decimal places?\nAnswer: -1.128","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ai when two letters picked without replacement from {v: 1, d: 2, z: 6, t: 1, a: 5, i: 2}?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4 (b) 3\/2 (c) 0.041 (d) -167\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4 (b) -0.3 (c) -0.02983\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are 8194506 and 24583514\/3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 348\/(-406) + (-186516)\/6867 - -28?\nAnswer: -2\/109","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 337045 is divided by 136.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 516913124?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the third derivative of g**6\/8 + 11*g**4\/12 + 23*g**2. Find the second derivative of k(b) wrt b.\nAnswer: 90*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a gram in micrograms?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -28*s - 163. Let x(h) = -9*h + 2. Determine m(w) - x(w).\nAnswer: -19*w - 165","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1926551 is divided by 209?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 230434 = -4*i, 0 = 4*i - 6*i - 2*f + 115232. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 4*q = -494 - 674, 3*k - 4*q - 720 = 0. What are the prime factors of k?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-20))\/(23\/(230\/(-4)))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 4*r + 3, 5*r = -3*v + 13 + 17. Solve 0 = -v*g - 48 + 38 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 + -6. Suppose -t + 2*t + 14 = -5*b, -f*b = -4*t + 40. Let d(q) = -q**3 + 6*q**2 + 3*q - 5. Is 12 a factor of d(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 806 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 3573381.\nAnswer: 2\/3573381","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 4*w**2 - 5*w - 10. Let o(b) = 3*b**2 + 3725 - 3733 - 2*b - 2*b. Let v(r) = 4*g(r) - 5*o(r). Let t(s) = 25*s**2. Determine t(v(q)).\nAnswer: 25*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/18)\/((-4)\/(-48)) + -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = b - 4. Suppose 150 = -5*s + b. Let z = s - -48. What are the prime factors of z?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.0774, 1014, -0.3.\nAnswer: -0.3, -0.0774, 1014","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 + 8. Let l be 4 - (-12)\/(3 + a). Is 8 a factor of (l - -4)\/((-2)\/(-8))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 127*o - 1982655 + 1994593 = 0 for o.\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1425 - -216?\nAnswer: -1206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -69*y + 6. Let g be r(-6). Round g to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one fifth of a kilometer?\nAnswer: 20000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - v + 0 + 0*v + v - 2*v - 3*v + 3*v + 2*v + 0*v + v + 0*v + (-3*v - 3*v + 5*v)*(-2 + 3 - 3) + 1 + 2*v - 1 + 25*v + 3 - 3.\nAnswer: 30*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6681395 to the nearest integer?\nAnswer: 2585","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 0.175, -2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.037, -6507, -68?\nAnswer: -0.037","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 111101001001110 (base 2) to base 7\nAnswer: 160166","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -52 + 52. Suppose -2*a + 18 = 2*f, -4*a + 6*a - 5*f - 18 = b. Let h(l) = l**2 - 5*l + 5. Calculate the lowest common multiple of h(4) and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 5 - 5 + 6782*i**2 - 5336*i**2 in the form f*i + k + j*i**2 and give j.\nAnswer: 1446","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.4 (b) -0.01966 (c) -16577\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 9390 to the nearest one hundred.\nAnswer: 9400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -21\/2*i + 3\/2*i**2 + 15.\nAnswer: 3*(i - 5)*(i - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*x + 0*x - 10*x**2 - 1.\nAnswer: -10*x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 2*o - 74 = 4*n, -4*n - 97 = -o. Let l be (-28)\/n - (-8)\/(-6). Which is the nearest to l? (a) 1\/3 (b) 0.4 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes after 7:21 AM?\nAnswer: 2:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 15, r: 3}. Give prob of picking 1 r and 3 q.\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sum -14556388018 and 36.5.\nAnswer: -14556387981.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-56)\/(-16))\/(6\/12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -55 - -56. Let b(g) be the first derivative of -1\/3*g**6 + 0*g**5 + 0*g + 0*g**2 + l + g**3 + 0*g**4. What is the third derivative of b(h) wrt h?\nAnswer: -120*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.13378712 rounded to 4 dps?\nAnswer: -0.1338","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6 - (4 + -1)*1. Let l be 6 - (-3)\/((-3)\/4). Sort d, 1, -1, l in increasing order.\nAnswer: -1, 1, l, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3373*c + 3607*c - 2*c**3 - 6980*c - 118*c**2.\nAnswer: -2*c**3 - 118*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 times 1126495?\nAnswer: 54071760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*d + d = -24 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 25\/9 - 52\/(-234). Suppose k*x = 15*x - 12. Which is the closest to 0? (a) -2\/5 (b) -0.3 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, q: 1, a: 3, v: 1}. What is prob of sequence qv?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*n - 18 = 3*y, -3*y - 865*n = -868*n - 24 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 5*a - j, 5 = 3*a + j - 2*j. Put 2\/13, 0.13, a in ascending order.\nAnswer: 0.13, 2\/13, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1875 in -2, -7, 4\/7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 - -21. Let w = -3 + x. Solve -5*r = -2*b - 14, 5*b + w = -2*r + r for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 10*w**3 + 4*w**2 + w. Let p(b) = 15*b**3 + 3*b**2 + 6*b + 28. Let g(n) = n**3 + n**2 - n - 7. Let i(s) = -4*g(s) - p(s). What is -4*i(z) - 7*r(z)?\nAnswer: 6*z**3 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 2*r - 57 = 0. Suppose 12 = -4*s, 2*n - 6*s = -s + r. Suppose n*k + 0*k - b = 17, 5*b = 5*k - 35. List the prime factors of k.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the first derivative of -3*y**2\/2 + 9881. Let i(x) be the second derivative of -2*x**4\/3 + x. Determine s(i(l)).\nAnswer: 24*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/17 and 14\/44861739.\nAnswer: 762649563","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5170 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (234*2\/(-18))\/(32\/(-4))?\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 186 and 4929.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 22\/5 - 12\/30. Suppose -y + 24 = -h*c, 8*y - 5*y - 7 = -c. Suppose 5*t - 2*z - z + 25 = 0, -y*t + 4*z - 28 = 0. Which is smaller: t or -2\/13?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-2860)\/(-96))\/13 - -3 and 47\/24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 + 1)*(-4)\/(-4). Suppose n*l - 2*l = -6. Suppose 0*y - l*y + 99 = 0. List the prime factors of y.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1000000 (base 2) to base 4\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 288425?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rj when two letters picked without replacement from rwjjjjwwrwwjwjj.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -18182*h**4 + 4078*h**2 wrt h.\nAnswer: -436368*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/1621620 and -59\/2422?\nAnswer: 280540260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/14*(0 - 14). Find the second derivative of -11*j**3 - 3*j + 11*j**3 - 2*j**w wrt j.\nAnswer: -24*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8067024 is divided by 116913?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -74 by 37.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 89\/3, -0.5 in descending order.\nAnswer: 89\/3, 6, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*t**2 + 5 - 36 + 31.\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19589226?\nAnswer: 2, 3, 41, 79631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*x + 31*x = -20. Solve -l = -2*q + x, -q = -2*l - 5*q for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-15)\/2 - -1)*-24. Let z = -51 + y. Suppose -4*l - z = -809. Calculate the greatest common factor of l and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (66\/12 - 6)*(142 - (-6 - -2)). Put z, 2, -5, 5 in decreasing order.\nAnswer: 5, 2, -5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:00 PM and 8:50 PM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/3 and 41\/18653.\nAnswer: 55959","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -296, -2478, -8484, -20252, -39720, -68826, -109508?\nAnswer: -163704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((5110\/73)\/140)\/((3\/(-58))\/3).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 75\/24562 and 3?\nAnswer: 24562","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 20304 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, -2\/187, -9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*t**2 - 2*t**2 + t**2.\nAnswer: 5*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 855700473?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 + 21*u**2 - 2 + 8 in the form s*u**2 + v*u + k and give s.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9664 + 821.\nAnswer: -8843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 926, 1861, 2784, 3689, 4570, 5421, 6236?\nAnswer: 7009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -998 + 1000. Solve -7 = -5*g - v for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4257 + -664091\/156. Is h at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 94 - 80. Suppose -4*x = -5*l + 101, 6*l + x - 106 = l. What is the greatest common factor of l and n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 349*p - 425 = -346*p + 6525 for p.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4 + 3 + d - 7 + 1 wrt d?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-30)\/(-27))\/1*(61 - 11720\/200). Factor -4\/3 + 22\/3*t - 26\/3*t**2 + y*t**3.\nAnswer: 2*(t - 2)*(t - 1)*(4*t - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -251*b + 749. Give n(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 81*p**2 + 4*p - 323.\nAnswer: 162*p + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes after 10:10 AM?\nAnswer: 9:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -863*r**3 - 9*r**4 - 5*r**2 + 863*r**3 + 1 as c + u*r**3 + q*r**4 + z*r + x*r**2 and give x.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the first derivative of 118*r**3\/3 + r**2 + 19*r + 81. Find the second derivative of l(u) wrt u.\nAnswer: 236","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 577 and 7.\nAnswer: 4039","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 20\/30*36\/(-8)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 (base 11) in base 10?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 - 33. What is the smallest common multiple of ((-99)\/t)\/((-3)\/(-12)) and 48?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 659332?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -8*i**3 + 20*i - 3. Let o(p) = 4*p - 1. Determine 6*o(q) - s(q).\nAnswer: 8*q**3 + 4*q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -966*c**3*n**4 + c**3 - 322*c**2 - 21*c*n**3 - 2*c wrt n.\nAnswer: -3864*c**3*n**3 - 63*c*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 116*d**2 - 2*d + 1. What is the tens digit of l(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(120)\/(sqrt(640)\/sqrt(5)))\/(-6*-1*sqrt(12)\/sqrt(4)) + 4.\nAnswer: sqrt(5)\/24 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -1179*g + 147. Let d be a(-7). Suppose -t = 5*n - 5*t - 21001, 2*n - 2*t = d. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*o**4 + 7 + 4*o**2 - 3 - 5*o**2 - 16 to p*o + a*o**4 + j*o**2 + m + q*o**3 and give m.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -356, -386, -416?\nAnswer: -446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 4*d + 4 = 0, 0 = -3*r - d - 3 + 17. Suppose 72 = 13*l - 6. What is the greatest common factor of r and l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -18 + 22. Find the second derivative of 237*u**3 - 237*u**3 - 3*u**o - 22*u**2 + 3 - 57*u wrt u.\nAnswer: -36*u**2 - 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1181739204 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l\/(l\/l**0*l))\/l)\/l)**(1\/37))**(4\/21)*(l**(-2\/15)*l*l**0)**33 assuming l is positive.\nAnswer: l**(37017\/1295)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 707*z - 1447*z + 763*z. Let f(u) be the first derivative of 0*u - 1 + 0*u**2 - 2\/3*u**3. Determine f(w(a)).\nAnswer: -1058*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -126*z - 203. Suppose -5*w - 5*s = -8*s + 23, -9 = 3*w + 3*s. What is the tens digit of t(w)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u - 2*m = -5*m - 51, u - 4*m = 18. Solve s - 3*k = -5, 2*s + 5 = -5*k + u for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 14 = -11. Suppose y = -4, u*w - 10595 = 4*y - 3970. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 138405887 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -32 or -33?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 29804 - 29955.76. Round u to the nearest integer.\nAnswer: -152","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 12*d**4 - 447*d**3 + 3351*d**2 - 6858*d + 1512 = 0. Calculate d.\nAnswer: 1\/4, 3, 6, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5) + (-4*(2 + sqrt(5)) - sqrt(5))**2 + (sqrt(50)\/sqrt(5))\/sqrt(2) + -2.\nAnswer: 82*sqrt(5) + 187","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 955 a factor of 1631140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**0\/x**(-7)*(x**(-8)\/x)\/(x*(x\/(x**(2\/11)\/x))\/x))**(-2) assuming x is positive.\nAnswer: x**(84\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/85288 and -11\/8.\nAnswer: 85288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 69, 145, 221?\n\"Answer: 76*q - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*h + 38 = 13 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 151*t**3 - 166*t + 166*t.\nAnswer: 151*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (11 - -4) + (0 - 4). Suppose 0 = 4*f - 17 - d. Find w such that -31*w**2 + f*w**2 + 4*w**3 + 2 - 18 + 36*w = 0.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 34 + -34. Suppose 13*b - 23 - 16 = r. Solve -2 - b = -5*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 7, a: 6, d: 1, r: 3}. What is prob of sequence gdra?\nAnswer: 3\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17775 + -124428\/7. What is the third smallest value in 0, -5\/3, 2, 3\/22, o?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*n - 41 = -181. Suppose 582 + 678 = n*l. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dgvzidv. What is prob of picking 1 i and 1 g?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(10)\/sqrt(5) + (sqrt(2) + sqrt(2) + -3*1*sqrt(2) - sqrt(2))**2.\nAnswer: -sqrt(2) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*z + 41011*z**2 + 3 - 3 - 2*z**3 - 41069*z**2.\nAnswer: -2*z**3 - 58*z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + 0 + (-11 - (-12 + -1 + -5)) + -18.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**3\/7 - 67*z**2\/7 - 47*z\/7 + 16\/7.\nAnswer: -(z + 1)*(z + 16)*(4*z - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t - 2*u + 33, -2*u - 2*u - 9 = -5*t. Suppose 8 - 235 = -3*m - 4*v, 4*v = t*m - 389. Is 19 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2849?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 9 (base 12) to base 4\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39 + 130 - 44 - 47 - 2*q.\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111011000 (base 2) to base 5.\nAnswer: 3342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.02, 5, 31, -4\/53.\nAnswer: -4\/53, -0.02, 5, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 235609, 235590, 235571?\n\"Answer: -19*t + 235628","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:51 PM and 1:20 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 389120 rounded to the nearest 10000?\nAnswer: 390000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -90133790 at most -90133789?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 6, -47 in ascending order.\nAnswer: -47, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -118\/1949 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 351540394?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9377799 by -5.\nAnswer: 9377799\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 14 times 44\nAnswer: 616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/34360987 or 0?\nAnswer: 2\/34360987","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 95 and 2432.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 - 1 + 2*j)*(0 - 3 + 1 + (1 - 1 - 1)*(-1 - 3 + 3))*(67*j - 126*j + 100*j).\nAnswer: -82*j**2 - 82*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/1596 and -55\/722.\nAnswer: 30324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1926, 5, 1\/17 in descending order.\nAnswer: 5, 0.1926, 1\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1011487 (base 10) in base 16?\nAnswer: -f6f1f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1092894029 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -2*z - 3 - 97, -3*r - 3*z = 105. Let o = -22 - r. Solve -3*s = -o*s + 10 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 + 9. Suppose d + 3*d - 415 = -g*f, 3*d + 3*f - 312 = 0. Suppose 5*n - d = -0*n. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000444986186 to 7 decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 - 8. Suppose -2*h - 121 = -r + h, -2*r - h + 256 = l. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*p - 16*p = -2886. Calculate the remainder when p is divided by 58.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 + 6\/4)*(-80)\/(-50). Solve x*t + 7 = -9 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2345.298 to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4809 - 4813. Put q, 2\/5, 10\/199, -0.2 in decreasing order.\nAnswer: 2\/5, 10\/199, -0.2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 422553?\nAnswer: 3, 83, 1697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(-3))**2\/((p\/p**(-8\/3))\/((p\/p**(-1\/29))\/p)) assuming p is positive.\nAnswer: p**(380\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -182 + 181.6. Which is the nearest to g? (a) 4\/7 (b) 0.2 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13 - 10. Suppose -2*p + 22 = -2*r, -2*r = -7 - n. Suppose 0 = -0*l + 6*l - 30. Solve 0 = -4*v - l*k - 13, 2*v - 2*k = -0*v + p for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-4)*(17\/(-34))\/(2\/(-10)).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the third derivative of 25*y**4 + 1835*y**3\/3 + 42*y**2. Differentiate g(n) with respect to n.\nAnswer: 600","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (16\/19912)\/((-18)\/342)\nAnswer: -2\/131","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 178 - 59. Let f(b) = -4*b**2 + y - 119 + 3*b**2. Let l(a) = a**2. Give f(l(g)).\nAnswer: -g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-18)\/12)\/((-1)\/2). Let y be (-8)\/(-3) - 2\/(-6). Let j = c - y. Solve 3 = -a - j for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9 in -2.5, -3\/2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -358*w + 366. Let g(p) = 179*p - 185. Let b(z) = -11*g(z) - 6*n(z). What is the derivative of b(k) wrt k?\nAnswer: 179","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39abd (base 16) in base 8?\nAnswer: 715275","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*m + 2*y, 2*m + 4*y = -12 + 4. Solve w + m*w + 16 = -4*i, 3*w + i - 7 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 1067880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**3 - 7*v - 18. Determine j(0).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cv when two letters picked without replacement from vcvbonncooobnxnncn?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 85 divide 26646565?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 162 = -5*v, 4*v - 63 - 67 = -2*o. What is the remainder when v is divided by 20?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(5\/4)\/(l*l\/((((l*l**5*l*l)\/l)\/l*l)\/l))*l**(1\/6)*l**2 assuming l is positive.\nAnswer: l**(89\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:15 AM and 8:52 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 68295, 68245, 68163, 68049, 67903, 67725, 67515?\nAnswer: 67273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -ac + 70?\nAnswer: -3c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.39 - 1.1. Let l = 0.2874 - s. What is l rounded to three dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112*c + 21 = 117*c + s, -3*s + 3 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p - 4. Let o(q) = -28*q - 82. Let t(m) = 2*o(m) - 36*z(m). Let u(y) = -y**2 - y - 1. Determine t(l) - 20*u(l).\nAnswer: 20*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 4, m: 1, d: 2, t: 1, f: 1, w: 6}. What is prob of picking 1 t and 1 o?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1784633203.\nAnswer: 31, 57568813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 8 - 544?\nAnswer: -536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37041?\nAnswer: 3, 12347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.06 in -1, 0.3, -5, 5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is (3918\/(-8))\/(15\/(-40)) 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 75.55638 months?\nAnswer: 6.296365","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:57 PM and 6:01 PM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 + -43. Is 30 a factor of (f\/1 - -2)*10\/(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 87.84 - 88. Let s = 0.18 - 2.34. Let m = j - s. What is the third biggest value in -0.1, m, 3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -124 - -129. Find the second derivative of 22085*s**3 + 20*s**v + 151*s - 22085*s**3 wrt s.\nAnswer: 400*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6810\/(-681)*12\/15?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -2*q - 3. Let r be a(0). Let y(m) = -m - 4. Let w be y(-4). What is the nearest to r in 2\/7, w, 3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 + 0. Suppose -7 + 32 = 5*c. Suppose -a = -c*w + 2*a + 18, -f*w - a + 11 = 0. Solve w*x = x + 2 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3131 times 227\nAnswer: 710737","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 + 13. Suppose 0 = s*g - 25 - 15. Let p = -11 + 17. Solve -g = p*z - 2*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3460187833 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:40 PM and 9:13 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:18 PM and 8:46 AM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 139*x = -941 + 58 + 49 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*z + z = -4*r - 90, 72*z - 76*z + 7*r - 27 - 13 = 0 for z.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**2 + 3399*v + 199206.\nAnswer: 3*(v + 62)*(v + 1071)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -13d2 - -4?\nAnswer: -13cd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 22*r = 0. Solve 2*s + r*l - 2*l = -12, -2*l = 3*s - 2 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 801593.\nAnswer: 13, 197, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 20*k + 88. What is the common denominator of 61\/36 and 74*(-5)\/220 - k?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 113429117.\nAnswer: 17, 6672301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) + sqrt(24)\/sqrt(128))*-2.\nAnswer: -5*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27392 + 29586 + 4070 + 3*x**3 - 4*x**3.\nAnswer: -x**3 + 61048","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*r**2 + 4*r**3 + 3*r**2 + 2*r + 22 + 41 - 65 + 4*r**4 to n*r**2 + j + l*r**4 + a*r**3 + v*r and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 6494720 a multiple of 430?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h**3 + 5*h**3 - h**3 - 2*h**5 + (1 + 7 + 0)*(4*h - 4*h + 2*h**5) - h**2 + h**5 + h**2 + 0 + 0 - h**5 + (-2*h - 2 + 2)*(5*h**4 - 2*h**4 - h**4).\nAnswer: 10*h**5 + 3*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 676 divide 409000280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -23409555 rounded to the nearest 10000?\nAnswer: -23410000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 171 = -0*r. Suppose 4*u + 5*c = 422 - r, 0 = -4*u - 3*c + 371. Calculate the remainder when u is divided by 32.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.467073 rounded to 1 decimal place?\nAnswer: -3.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -24*n**3 - 2*n**2 - n. Let c be w(-1). Let j = 23 - c. Suppose j = -3*k - k + 164. List the prime factors of k.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5185\/14 + -370. Calculate the common denominator of -1\/14 and p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 56 + -54. Let i = -4 - -8. Let s = 3 + -2.6. What is the second biggest value in i, s, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**2 - 24*u - 116. Let x be y(-8). Suppose -x*d = 15*d - 3*d. Solve 4*l = -2*o - 2, d*l + o = 4*l + 17 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.7156, 8.9, 5, 0.3 in increasing order.\nAnswer: 0.3, 0.7156, 5, 8.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (3\/2)\/((-8)\/(-32)) and 288\/162 + 4\/18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -5*n + 10. Let a(s) = 6*s - 10. Give 4*a(h) + 5*p(h).\nAnswer: -h + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*a - 1386 = -1466 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z - 2*z + 0*z)*(-2*z - 2*z + 5*z) - 5*z - 3*z**2 + 5*z + (-1 - 2*z + 1)*(-2 + 2 + 2*z).\nAnswer: -8*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 2057?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(12)\/sqrt(4) + (1 + sqrt(147))**2.\nAnswer: 17*sqrt(3) + 148","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -12776312 + 0.3\nAnswer: -12776311.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = p + 3*l, -6*p - 5*l = -p - 135. What is the greatest common divisor of p and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44019611 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6 + 20*2\/4 is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -250.539 minus 16?\nAnswer: -266.539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2590 is divided by 118?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 5*w + 14 = 0, 0*a = 4*a + 2*w + 74. Let c be a - (1 + 2 + -1). Let h = 47 + c. Is h a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-118)\/(-295)*(5 + 0). Suppose -p*s = -4*i - 275 - 193, s - 213 = -5*i. List the prime factors of s.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 5*y + 14, 4*y + 4 = 3*y. Solve -2 + z**3 + z + c*z + z**4 + z**2 - 4*z**3 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 - 10.7. Let p = -68\/15 - -131\/30. Which is the nearest to 6? (a) p (b) z (c) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*m**2 - 168*m + 186592.\nAnswer: -4*(m - 196)*(m + 238)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -33081623.699841 - -33081589. Let i = z + 34.7. What is i rounded to 5 dps?\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m. Let b(h) = -h**2 - 193*h - 1995. Let r be b(-11). Let d(y) be the third derivative of -r*y**2 + 0*y**3 + 19\/24*y**4 + 0*y + 0. What is d(v(t))?\nAnswer: -19*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:01 AM and 8:50 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1b - -a1885?\nAnswer: a1866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -15*d**2. Let r(h) = -64733948*h. Calculate r(v(j)).\nAnswer: 971009220*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - 4*z - 4, 0 = l - 0*z - 5*z + 17. What are the prime factors of l\/28 - 206\/(-14)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 983 + -72. Suppose 3*p + p - 5*y = 1211, -y - k = -3*p. Suppose -4*n + p = -4*h, 0*h - 2*h = -5*n + 368. Is n a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes before 8:30 PM?\nAnswer: 6:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -84 times 2?\nAnswer: -168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5890 + -2?\nAnswer: 588b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1698*z**3 - 3*z**2 + 15*z?\nAnswer: 10188","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 103198 a multiple of 157?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f = 3*i, -i + 0*f - 5 = f for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4311\/(-43110))\/((-74)\/40).\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 10*l**2 + 105*l + 2375. Let p be q(-22). What is the greatest common divisor of 763 and p?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + ((-15)\/(-5) - (-17)\/(68\/4))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1176 is divided by 31.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 363*y - 841*y - 8604 = 0 for y.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-3) + ((-104181)\/630)\/121.\nAnswer: -7\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((18*q**2 + 7*q**2 - 5*q**2)*(-1 + 0 - 1) + 34 + 10*q**2 - 34)*(0 + 2*q + 0).\nAnswer: -60*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:43 AM and 8:10 PM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 12, b: 1}. What is prob of picking 1 w and 1 b?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the third derivative of 0 - 5\/2*u**3 + 0*u - 1\/60*u**5 + 3\/4*u**4 - 3*u**2. What is the tens digit of m(13)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8258104 is divided by 27527?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 3\/16?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 175 = 2*r. Factor v**3 + r*v**2 - 38*v**2 + 0*v**3.\nAnswer: v**2*(v - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.3 (b) 5 (c) 1\/18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4 + 8\/16*-2. Let b(v) = -v**3 + 2*v**2 + 3*v + 4. Let i be b(4). Let t be i\/12 + 382\/a. Calculate the greatest common divisor of t and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes before 11:25 PM?\nAnswer: 11:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(396)*-2)**2*4 - (sqrt(396)*-1 + 5)**2.\nAnswer: 60*sqrt(11) + 5915","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 3*p - 30 = 0. Suppose 2*k + 84 = 4*w, 5*w + 2*k - 109 = -13. Calculate the greatest common divisor of w and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = r + 18*q - 23*q - 5, 3*r + 4*q - 15 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (5\/5)\/(15*(-25)\/(-1125)). Factor 34\/7*x**2 - 16\/7 + 4*x - 10\/7*x**q.\nAnswer: -2*(x - 4)*(x + 1)*(5*x - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 3*a = 6, 10 = -3*a - 2. Does 5 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 32247, 32242, 32237?\nAnswer: 32232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 - 7. Let i(q) = q**2 + 5*q - 6. Let p be i(t). Solve -4*n - 12 = -p for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/428, -1\/7, 2\/9?\nAnswer: -1\/428","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 48644217 to the nearest integer?\nAnswer: 365","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (78 + 37*c - 78)*(37 - 85 - 2 - 82 - 61) to the form v*c + m and give v.\nAnswer: -7141","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -3*s**2 + 3*s + 8. Let u(p) = p**2 - p - 3. Let v(q) = -6*g(q) - 17*u(q). Let m(z) = z**2 + 5*z + 5. Let j be m(-5). Is v(j) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5.77 + 284.23. Let n = s + -290.000269. What is n rounded to five dps?\nAnswer: -0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 59, -2\/7, -0.102802?\nAnswer: -0.102802","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14\/27 + 433\/54. Which is smaller: 9 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2 or 33226?\nAnswer: 33226","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 4*k - 98 = 0, c = 2*c - k - 28. Does 10 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.2, -4\/28935, -1?\nAnswer: -4\/28935","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 58790?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is (11 - 8 - 451\/(-2))*10 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*w - 4*w - 6 - 10*w + 1 in the form h*w + f and give f.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*h + 32*h + 72*h + 8*h.\nAnswer: 138*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 - -75. Suppose -5*p + w = -2*p. Calculate the highest common divisor of 253 and p.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 less than or equal to 640437?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -35.7*-0.4\nAnswer: 14.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 + 1)*(-56*r - 35*r + 22*r) + 0*r - r + 2*r + 0*r + r - 3*r - r + 1 - 1 + (3 - 5 + 4)*(2*r + 2*r - 5*r) + 0*r - 2*r + 3*r.\nAnswer: 66*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -78*a**2*f**3 - a**2*f + 10*a**2 + 26*a*f**3 - 6*f**2 - 78*f - 1 wrt f.\nAnswer: -468*a**2*f + 156*a*f - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 31\/4, -1\/19, 559\/2.\nAnswer: -1\/19, 3, 31\/4, 559\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -18.01 - -0.01. Let t = 13 + q. Let l = -52 + 158\/3. Which is the second biggest value? (a) -4 (b) l (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 8 = -2*j, z - 3*z - 21 = 5*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6182*p + 2057*p + 2062*p + 2056*p.\nAnswer: -7*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*c = 447*c - 8160 for c.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 332201548?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -394.744 rounded to the nearest ten?\nAnswer: -390","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -2*o**3 + 53*o**2 - 24*o - 24. Let w be d(26). Calculate the highest common factor of 5404 and w.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -28772 - -28772.2. Let r = -0.2 - 0.3. Let v = -0.06 - 1.94. What is the third biggest value in r, t, -3, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 1 = -3*j + 13, -6*j + 115 = -20*o - 5 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 114 = -z. Let p = -24 + z. Calculate the remainder when p is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 474996.\nAnswer: 2, 3, 23, 1721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -z - 3*z**4 + 2 - 7*z**2 - z**4 + 2*z**3 - 4*z**3 + 3*z**4 to the form q*z + p*z**3 + l*z**4 + a*z**2 + m and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*c + 8 - 13 = -5. Let h = -54387\/2600 + 272\/13. Which is smaller: c or h?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -18*f**4 + 1782*f**2 - 11*f - 1782*f**2 wrt f?\nAnswer: -216*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (4 - 7) - (-7 + 6)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(-2 + -2*sqrt(45))*5 + -2 + 0)*-4*5)**2.\nAnswer: 5760000*sqrt(5) + 45921600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 4, p: 6, t: 1, o: 7}. Give prob of picking 3 j and 1 t.\nAnswer: 1\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6709 divided by -301.\nAnswer: 6709\/301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 62.6 + -72. Let z = i + 2.9. Let s = z - -6.4918. What is s rounded to 3 decimal places?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.7, -6, -0.4, -23\/5, -86?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -6645 (base 9) to base 4\nAnswer: -1030211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**3 + 124*k**2 + 544*k + 624.\nAnswer: 4*(k + 2)*(k + 3)*(k + 26)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Do -1\/3 and 0.07 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9195352ug to kilograms.\nAnswer: 0.0000000009195352","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 19 - 18.94. Are -2 and c nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11841 + 11837. Is d less than or equal to -242?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cbcchsi. Give prob of sequence bish.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:16 PM and 10:02 PM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-948 + 409 - 675)*(-12 + 12 + 7*d).\nAnswer: -8498*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2448*l**4 - 1223*l wrt l?\nAnswer: 29376*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5 + (-2)\/(-4)*(-11 - -5). Let t be 3 - ((f - -5) + 0 + 2). Is 1975\/15 - 2\/t a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 3*t = -0*t + 390, 0 = -5*h + 5*t + 430. Suppose -227 = -4*a + h. What is the tens digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 5890?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1229 and 319639549?\nAnswer: 1229","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in y**3 + 13*y**3 - 2*y**3.\nAnswer: 12*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1000020100120 (base 3) to base 6.\nAnswer: -15253453","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wbx when three letters picked without replacement from {b: 1, g: 5, x: 1, w: 2}?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -2*q - 66, 2*q - 232 + 216 = 0. What is the remainder when 1454 is divided by z?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2 + 0 + 3*u + 3 + 2 with respect to u.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -50480, -403834, -1362944, -3230690, -6309952, -10903610?\n\"Answer: -50480*t**3 + 2*t**2 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 173411?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*b**5 - 20*b**4 - 24*b**3 + 128*b**2 + 128*b = 0. What is b?\nAnswer: -2, -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.64 rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 78529721 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 30 + (-6 - (0 - 4)). Suppose 54 = 30*j - s*j. Calculate the greatest common factor of j and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*j**2 + 0*j + 0*j)*(-j - 1 + 1) + 2*j**3 + 222*j**2 - 226*j**2 + 1 - 5*j**3 as w*j**3 + n + t*j**2 + a*j and give t.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/56, -2046, 0.9, 5, 0.1?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 769 - 753 = 2*c. What is the remainder when 11 is divided by c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, 5, 129, -5 in ascending order.\nAnswer: -5, 1, 4, 5, 129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {o: 5, i: 7}.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 2*d**3 - 5*d**2 + 71*d - 212. What is the lowest common multiple of 30 and a(3)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -111 (base 3) in base 13?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-13\/2)*l)\/l**(-6) assuming l is positive.\nAnswer: sqrt(l)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**3 + 2*l. Give n(-3).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*y + 3 - 15 = 6. Factor -8\/9*k**3 + y*k**2 + 0 - 4\/9*k.\nAnswer: -2*k*(k - 2)*(4*k - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + -6 + 4 + -18?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 1783 = 5*n + 390, n + j - 280 = 0. What is the hundreds digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4500*o - 1 = -4495*o + c, 5*o - 23 = -7*c for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hlllshhhh. Give prob of sequence hs.\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.4 and 62.8454.\nAnswer: 62.4454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:27 PM and 9:12 PM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 25834.643 - 25848. Let r = -13.3 - u. Let v = 0.563 + r. Round v to 1 dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/12*(9\/12 + 0)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 22*v + 1 = 1. Solve 7*c - 20*c - 13 = v for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes before 5:07 AM?\nAnswer: 9:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 + 10 - 10*c)*(0 - 4 + 2)*(-c + 0*c + 0*c)*(-1 + 28 + 11).\nAnswer: -760*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 equal to 149\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -9094 and 45?\nAnswer: 9139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/53 and 17\/8.\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes before 7:27 AM?\nAnswer: 5:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*z + 2*z - 3*z**2 + (-49 + 49 + 2*z)*(3*z + 2*z - 4*z) - 2*z**2 + 0*z**2 + 0*z**2 + 2*z**2 - 3*z**2 + 0*z**2 in the form v*z + n + m*z**2 and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2752471?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*v**3 - 12*v**3 - 270*v + 10*v**3 + 270*v.\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-132)\/99*18*(-8)\/(-480)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 578*h*j**2*w**2 - 24*h*j**2*w - 2*h*j*w**2 + 5*h*j*w - 186*h*j wrt j?\nAnswer: 1156*h*w**2 - 48*h*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f + 29. Let n(m) = m + 1005. Give b(n(s)).\nAnswer: s + 1034","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5220700?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 804144 and 127657860.\nAnswer: 510631440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*(-2)\/(-12))\/(1\/9).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from wkwbfwkwewwfefwwwww.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 412.54473 - 412.36. Let d = -212.186 + 212. Let q = d + j. What is q rounded to four decimal places?\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -388 or -6963?\nAnswer: -6963","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 4212991, 8425992, 12638993?\n\"Answer: 4213001*i - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 4*j. Let k(r) = -r. Let q(v) = -g(v) - 3*k(v). Let s = 2 - 1. Let u(l) = -1 - s + 2*l + 2. Calculate u(q(p)).\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -34*x**2 - 212*x + 843. What is w(-9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 - (-1 - 4\/4). Suppose 3*t - 6*t = -3*h - 12, 0 = z*t + 4*h - 8. Let k = t + 20. Is 6 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4028 and 10?\nAnswer: 20140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the second derivative of 0 - 2\/21*m**3 - m - 1\/42*m**4 + 3\/70*m**5 + 0*m**2. Factor q(c).\nAnswer: 2*c*(c - 1)*(3*c + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 3*x + 4 = 0, 0 = -3*a - a - 4*x + 16. Solve 0 = m + a - 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/7 of a week in days?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -6*d + 2 + 3*d + 4*d. Suppose -w + 24 = -y + 2*y, 0 = y - 3. Let t = w - 15. Calculate v(t).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30.88827 rounded to 0 decimal places?\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 8*p + 76. Give c(-9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -2*h**2 + 4*h - 5. Let z(w) = w**2 - w + 1. Calculate s(c) + 3*z(c).\nAnswer: c**2 + c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 5*h**2. Let z(v) = -79*v**2 - 16*v + 16. Let c(a) = 53*a**2 + 10*a - 10. Let s(g) = 8*c(g) + 5*z(g). Calculate o(s(w)).\nAnswer: 4205*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.064 (b) 2 (c) 448 (d) -3 (e) 0.4 (f) 0.2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(210) + sqrt(210) + 1*sqrt(210) + sqrt(210))\/sqrt(7) + sqrt(30))*6)\/(1*sqrt(54)*4) + -4)**2.\nAnswer: -20*sqrt(5) + 189\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 5 = j, 5*n = -j - 129. Let k = -14 - n. Let x(o) = 2*o - 19. Let w be x(k). Solve w*b = 6*b - 15 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 162 = -7*q + 148. Suppose -2*j + 2 = -0*j. Sort q, 0, j in increasing order.\nAnswer: q, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 + (9\/21 - (-26)\/70). Which is the nearest to -1.1? (a) 0 (b) -0.1 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 h when two letters picked without replacement from {r: 7, c: 1, m: 8, h: 2}.\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 16 = 1. Sort -1, 2, 3, n in decreasing order.\nAnswer: 3, 2, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -323 - -544 - (106 + 11).\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**31\/d)**(-45)*d*(d*d*d*d**(-3\/19))\/d*d**(-10) assuming d is positive.\nAnswer: d**(-25786\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (5 + -1)*10\/8. Let b = 81 + -48. Let v = b - 28. Solve -v*g + 15 = 3*o + q, 0 = -4*g + 3*o - 19 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -4*f**2. Let r(n) = -13*n**2 + 5*n + 5. Let d(l) = 72*l**2 - 27*l - 27. Let w(k) = -5*d(k) - 27*r(k). Calculate b(w(i)).\nAnswer: -324*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -863 - -868. What is the second biggest value in j, 0.2, -4\/7, 0?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4b (base 15) in base 2?\nAnswer: 1000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7208680 a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y*y**(-2\/7)))\/y**3)**(2\/29) assuming y is positive.\nAnswer: y**(-38\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-4)*w*(w\/((w**5\/w)\/w))\/w)\/(w**(-1\/2)*w\/w**(-9)*w) assuming w is positive.\nAnswer: w**(-33\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 2*i**2\/7 + 1472*i\/7 + 2936\/7 = 0.\nAnswer: -734, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 40227 (base 8) to base 7\nAnswer: 66131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 4*m - 532 = 0. Let n = m + -8. Does 25 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10204032 (base 5) in base 9?\nAnswer: -138404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 67168867 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2048\/5 - -2052\/5. Which is the smallest value? (a) 4\/3 (b) 0.1 (c) -0.3 (d) 23\/5 (e) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.172571 millennia in months?\nAnswer: 26070.852","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2 - 25\/10)*(-160)\/(-16). Let f(j) = 3*j**3 + 5*j**2 - 17*j - 2. Let s(l) = -2 - 25*l + 7*l**2 - 1 + 4*l**3 + 0*l**3. Give d*s(x) + 7*f(x).\nAnswer: x**3 + 6*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22334 divided by 1718.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**8\/q*q*q**41\/q)\/(q*q\/q**(-21)*q*q**(2\/21)) assuming q is positive.\nAnswer: q**(502\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-35)\/(-315))\/(324\/432)\nAnswer: 4\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8605*q - 8600*q + 28 = 13*j, 5*q + 15 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 25064 and 1432?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 + 10 + 1\/(1 + 0). Suppose -41*l - d = -43*l. Let p(k) = -l*k**2 + k**3 + k + 1 - 7*k + 0*k - 7. Calculate p(7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 6 and -0.1277.\nAnswer: 5.8723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3706143*f - 7 + 7.\nAnswer: -3706143*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 43172\/(-267064) - (-1)\/(-19)?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4673308?\nAnswer: 2, 1168327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = 0, -5*d = 32*m - 36*m + 44496. List the prime factors of m.\nAnswer: 2, 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b + 8. Let v be r(5). Let q(o) be the third derivative of 0*o - 1\/15*o**5 - o**2 + 1\/6*o**v + 0 - 1\/8*o**4. Suppose q(w) = 0. Calculate w.\nAnswer: -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -316053, 3, -1, 0 in increasing order.\nAnswer: -316053, -1, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00187769928 rounded to 4 dps?\nAnswer: 0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1019\/9 + 121. Find the common denominator of 7\/3 and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 6023, 6026, 6031, 6038?\n\"Answer: h**2 + 6022","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 18 = 36. Let d be (48\/(-15))\/(m\/(-3615)). Let k = d + 428. Which is the nearest to 1? (a) 1 (b) 3 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1\/8 - 29\/104. Let v = 71 - 70. What is the second biggest value in a, v, 2, -4\/39?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**2 - 2*o + 3. Let r be x(0). What is the greatest common divisor of r and 24?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 515892, 515895, 515898, 515901?\nAnswer: 515904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -4.38*5\nAnswer: -21.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.0032 + -0.1032. Sort 4\/13, -6, m in decreasing order.\nAnswer: 4\/13, m, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/4557681 and -91\/1215?\nAnswer: 205095645","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3287451353 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-2))**44*(i*i\/(i\/i**(1\/3)))**(-1\/12))**(-48) assuming i is positive.\nAnswer: i**(12688\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -242 - -47. Let q = -195.00079 - d. Round q to 4 decimal places.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/3, -42, 0.3, -3286?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -85*a - 21. Let v(q) = -17*q - 4. Let u = 69 - 72. Let w be 2*(u - (1 - 3)). Let s(y) = w*o(y) + 11*v(y). Find the first derivative of s(k) wrt k.\nAnswer: -17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4520 (base 7) in base 11?\nAnswer: -1253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -1\/34, -1\/3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 590629 and 923?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 183 - 84 - 9*p + 2*p - 66 + 349.\nAnswer: -7*p + 382","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-32)\/18)\/((-17952)\/60588)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -423 + -49?\nAnswer: -472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6233*k + 6152*k + 45*k**4 + 56*k**4 wrt k?\nAnswer: 1212*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 10, 5*h - k = 3*h - 2. Solve h = 2*r - 6, -4*d - r - r = -6 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**3 - 5*d**3 + 4*d**3)*((2 + 2 - 3)*(62*d + 81*d - 94*d) + 2*d + 4 - 3*d - 2).\nAnswer: -96*d**4 - 4*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -20, v - 2*v = -3*b + 5. Let m = 8 + v. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -1 + 4*r - 3 - 9 + 16. Let a be h(3). Suppose -10 = -5*s + a. Solve -5*u + 15 = s for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -74266 or -668390\/9?\nAnswer: -74266","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**2 + 6*j - 8. Determine d(-4).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 - 3)*(67 - -5)\/6. Let j = h + 64. Let x = 0 + 78. Calculate the highest common factor of x and j.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -32.4 + 32.007. Let q = n + 0.3729. Round q to 3 decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - 3*m - 3 = -3*h, 0 = 242674*h - 242670*h - 4*m - 20 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -12 and 2.9?\nAnswer: -34.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 341 - 130. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 43 = -28. Let g be 44\/5 - (-3)\/n. What is the second derivative of -4*j**3 - 8*j + 6*j**3 + g*j**3 - j wrt j?\nAnswer: 66*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iimimkikkmmi. What is prob of picking 2 i and 2 m?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h + q + 282, 4*q + 30 = h - 34. What is the smallest common multiple of h and 28?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 24\/52*12181\/22488. Suppose -20 - 14*l - s*l**3 - 13\/4*l**2 = 0. Calculate l.\nAnswer: -5, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 2*n = 0, 3*h = -n + 2*n + 4. Let z be -2*(h - (-72)\/(-66)). What is the nearest to -3 in z, 3, 28?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**3 - t. Let o(f) = f**3 + 2*f. Calculate -6*a(x) - 3*o(x).\nAnswer: -9*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**3 + 19*s**2 - 39*s + 72. Let l be c(-21). Calculate the remainder when 857 is divided by (-4)\/l + (-2057)\/(-153).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00012742538 to 6 dps.\nAnswer: 0.000127","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the second derivative of -m**3\/6 - 6*m**2 - 9*m. Calculate the lowest common multiple of 3 and v(-20).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-16)*2)\/(411\/(-685)) - (-1020)\/(-48).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h*h**(2\/3)*h)**8)**(-1\/33))**(1\/46) assuming h is positive.\nAnswer: h**(-4\/207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 258796 (base 10) to base 14\nAnswer: 6a456","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*t = -3 - 13 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o. Let t(z) = -4*z**2 - 5*z. Let j(v) = 5*d(v) + t(v). Let f(g) = -32*g - 3 + 3 + 33*g. Give j(f(x)).\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16 - -47. Suppose -d = 3*w - 4. Does 4 divide (-1 - 1\/3)*w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -27*l**4 - 845 + l**4 + 27*l**4 + 0*l**4 - 495*l**2 - 89*l**2 wrt l.\nAnswer: 4*l**3 - 1168*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4744 + 4746. Sort q, -6, -4\/5, 2\/5, -2\/9 in descending order.\nAnswer: q, 2\/5, -2\/9, -4\/5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n, 4*r - 5*n = 7*r - 15. Suppose 2*i = 12 - 2. Suppose 29 = 3*j + j + i*b, -j = -5*b - 1. Which is smaller: r or j?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.97 + 0.03. Let v = -4.5 + x. Let m = 0.02 - 3.02. Which is the closest to 1\/2? (a) 0 (b) v (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1061828 to the power of 1\/2, to the nearest integer?\nAnswer: 1030","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -16786, -16776, -16760, -16738, -16710, -16676?\n\"Answer: 3*r**2 + r - 16790","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 + 19*j**2 - 11*j - 49. Calculate the remainder when x(18) is divided by 17.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (44 - -16)\/180*-2*(-24)\/16\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-4082)\/(-3))\/((-42)\/(-63))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -207.5411 or -1?\nAnswer: -207.5411","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, 31\/3, -6.989?\nAnswer: -6.989","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 + 0)\/((-2)\/(-10)). Let o(f) = 3*f**3 - 6*f**2 - 7*f + 8. Let c(d) = -7*d**3 + 13*d**2 + 15*d - 17. Let s(w) = 2*c(w) + 5*o(w). What is s(l)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -257*h - 57. Let a(z) = -92*z - 19. Let o(t) = 17*a(t) - 6*i(t). Let u(q) = -5*q**2. Calculate o(u(d)).\nAnswer: 110*d**2 + 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 17 = 8. Suppose w = 36 - 24. Calculate the remainder when 2\/6*0 - (-2 - w) is divided by i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-405)\/(-36))\/15*12\/(-54). Sort -6, x, 8 in descending order.\nAnswer: 8, x, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**2\/3 - 172*y - 11094.\nAnswer: -2*(y + 129)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 6403711003 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the second derivative of -s**3\/2 - 3*s**2\/2 + 11*s. Let v be p(-2). Solve v = 2*w - w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 149116, 298261, 447406, 596551, 745696?\nAnswer: 894841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 932\/(-9) + 383438\/(-156861)?\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 56\/9*d**2 - 200\/9 - 142\/9*d - 2\/9*d**3.\nAnswer: -2*(d - 25)*(d - 4)*(d + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 78030902 and 4.\nAnswer: 78030906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 24 + -7 - 78 - (6 - ((-1 - 0) + 7))\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2012326 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/4 of a micrometer in nanometers?\nAnswer: 7250","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: 1047776 (base 13) to base 6\nAnswer: 254132212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 37811 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 100001111110101 (base 2) to base 11\nAnswer: 12086","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/27 and -83\/270.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -2*c**2 - 12*c - 10. Let u(w) = -w**2 - w. Let a(d) = n(d) - u(d). Let r be a(-10). Suppose -5*p - 2*j + 113 = -j, p - 4*j - 10 = r. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -250*g**3 + 51 + 153*g**2 + 249*g**3 - 165*g**2 - g to the form x*g**2 + b*g**3 + p + q*g and give x.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve i = -2*a + 74, -192*a + 182*a = 4*i - 184 - 120 for i.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:39 PM and 4:20 AM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a microgram in nanograms?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 25*o**3 - 504*o**2 + 13485*o.\nAnswer: 150*o - 1008","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8953 and 2569?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(50) + -5 + -1 + (sqrt(2) - sqrt(12)\/sqrt(6)).\nAnswer: -6 + 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11284?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p - 5*x - 2701 = -2771, 4*p - x + 14 = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 623 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1182\/(-45) + 26 + 592\/(-30)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*x**4 - 29*x**4 - 22*x**4 + (3*x - 3*x - x)*(3*x**3 - 3*x**3 + x**3) - 6*x**4 - 107*x**2 + 107*x**2.\nAnswer: -63*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*n**5\/11 - 6408*n**4\/11 + 3529770*n**3\/11 + 2747931716*n**2\/11 - 5509931280*n\/11 = 0. Calculate n.\nAnswer: -420, 0, 2, 1811","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l when three letters picked without replacement from lwllllwwwlwl?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 87608597 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:44 PM and 8:08 AM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-33*w + 33*w + 12*w**2)*(3 - 4 - 1) as h*w + k*w**2 + q and give k.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 - -5. Suppose -5*v - 2*o = -28, 4*v = -3*o + 39 - 11. Let m = v + 2. Solve t + 7 = -2*z, -a*z = -m*z - t - 9 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -21, -25, -11, 27, 95, 199?\n\"Answer: q**3 + 3*q**2 - 20*q - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w + 4 - 4)*(-1 + 1 + 2)*(2 - 3 + 0) - 705*w + 350*w + 338*w - 64.\nAnswer: -19*w - 64","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes after 12:27 AM?\nAnswer: 11:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -84518 times -129\nAnswer: 10902822","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the second derivative of -g**5\/60 + g**4\/8 - g**3\/2 + 2*g. Let i(c) be the second derivative of d(c). What is the derivative of i(o) wrt o?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 173.3, 0.1, -0.06, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35454 is divided by 4427.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/26)\/(11\/286).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3359160.79 to the nearest 1000.\nAnswer: 3359000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 19072796 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -10340 divided by 470?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 1213, 1, -19, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -585, -583, -583, -585?\n\"Answer: -i**2 + 5*i - 589","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 105, 113, 133, 171, 233, 325, 453?\nAnswer: 623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + 3 = -3*q - 0, -3 = -p for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 14 + 1 = 0, 4*g + 17 = -3*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -19 in -2, 2\/11, -4.2?\nAnswer: -4.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 + 123026507?\nAnswer: 123026502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x + 46. Let h(w) = 897*w + 181. Determine 4*c(d) - h(d).\nAnswer: -901*d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 4*m**2 + 6940*m + 48454. Determine h(-7).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/5 of a centimeter?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 123*n + 52. Calculate p(7).\nAnswer: 913","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -19 + 17.4. Let r = n - -2. Let c = r - 0.399936. Round c to five decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes after 3:45 AM?\nAnswer: 1:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -2*z**3 + 10*z**2 - 12*z - 1. Determine l(7).\nAnswer: -281","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 118686 to the power of 1\/4, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 632888.9 litres?\nAnswer: 632888900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*15*(-2772)\/1155.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -65*a*c**2*h - 7*a*c*h - 2*a*c + 43*a*h - 6*a + 3498*c**2 + 4*c - 2 wrt c.\nAnswer: -130*a*h + 6996","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(-4)*-2*(-68)\/(-102). Which is the closest to -0.2? (a) -1\/2 (b) g (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*y + 18 = -6*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10391 is divided by 865?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is (-8 - (-30548)\/12)\/((-2)\/(-6)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 21576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*b**2 - 14*b**2 + 5*b**2.\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 divided by -47.\nAnswer: 17\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqq when three letters picked without replacement from {w: 2, q: 5, a: 7}?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 50813\/(-12749) - 2*1 - -6. Which is greater: i or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from {p: 2, e: 5}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 7, 19, 35, 55, 79, 107, 139?\n\"Answer: 2*n**2 + 6*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 292.5697 to the nearest integer.\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w + 3*w - 1944 = 0. Let x = w - -2219. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -4*(-1)\/(-2)*-1. Let a(o) = o**3 - 2*o**2 + 1. Let z be a(i). Let y be -3 + (z - (-880001 + -1)). Round y to the nearest one hundred thousand.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 7, m: 4, t: 4, j: 3}. What is prob of sequence jt?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3195857816 to the power of 1\/8, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12607.197 - -12596. What is y rounded to zero decimal places?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.56 - -38.9.\nAnswer: 41.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -11 * 1\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 - -813?\nAnswer: 80a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 1477893*x. Let o(v) = -2*v**2. Determine w(o(y)).\nAnswer: -2955786*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 87294.66 litres in millilitres?\nAnswer: 87294660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7561 is divided by 1005?\nAnswer: 526","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -22176 divided by 12?\nAnswer: -1848","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) + (sqrt(68) - ((sqrt(68) + 2)**2 - sqrt(68))))*-2 + -3 + -4 + sqrt(68).\nAnswer: 6*sqrt(17) + 137","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -32 (b) -2\/9 (c) -2\/7 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes after 11:25 AM?\nAnswer: 7:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5633623 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -65.2 + 65. What is the second smallest value in t, 15, -3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -3*k**4 + 5598*k**3 + 187815*k**2 + 353214*k = 0.\nAnswer: -31, -2, 0, 1899","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 2 x when three letters picked without replacement from {n: 1, m: 10, x: 7}?\nAnswer: 35\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1638*x**3 - 863*x + 863*x.\nAnswer: -1638*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 25)*27\/81.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2657 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 0 = 8. Let u = 1 + l. Suppose f + u*f = 116. Does 21 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pccc when four letters picked without replacement from {c: 3, p: 1, x: 10, m: 1}.\nAnswer: 1\/5460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -19*n**2 + n - 4. Let b(p) = -7*p**2 - 42*p - 3 + 57*p - 14*p - 6*p**2. Calculate 7*b(j) - 5*s(j).\nAnswer: 4*j**2 + 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2567 + -2572. What is the closest to 0.1 in -0.2, -8, -14, v?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**2 + 2*a - 4. Let j be c(-3). Let p(u) = -44*u - 1. Is p(j) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -2*l + 65. Let f = l - 25. Let q be (-2)\/(-5) - (-138)\/f. Let m(j) = j - 5. Give m(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i + 30. Let y be z(-18). Solve -4*s - 2*q - y = -s, -3*q = 3*s + 12 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**2 - 3*l + 3. Let b(j) = 2*j - 10. Let z be b(8). Let f = z - -2. What is the remainder when f is divided by w(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -364, -774, -1228, -1726, -2268?\n\"Answer: -22*k**2 - 344*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25890 = 3*l - 9*l. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2891, -23188, -78315, -185696, -362755, -626916, -995603, -1486240?\nAnswer: -2116251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*k + 268 = -131 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 453 = 4*x - u - 50, -u + 259 = 2*x. What is the remainder when x is divided by 23?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2*(-4)\/(16\/12). Let q = -15 - -18. Suppose 0 = -q*l + 2*l + 48. Calculate the greatest common factor of c and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23090 = -61*g + 71*g. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 785?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -36*s**3\/5 + 76272*s**2\/5 + 25431*s\/5 - 6357\/5 = 0?\nAnswer: -1\/2, 1\/6, 2119","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*b - b - 5*b)*(-5*b**2 + 3*b**2 + b**2) + 2*b**3 + 2*b**3 - 3*b**3.\nAnswer: 3*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 2579*f + 5. Let i be r(5). Suppose 3*n + 0*n = i. What is n rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 117295 - 2*a**2 - 117295. Let b(x) = -13*x**2. Determine i(b(g)).\nAnswer: -338*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-60)*(-60)\/36.\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*v - 100 = -24*v. Let j = 7 + -11. Let s = j - v. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -15 (b) -2 (c) -0.3 (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2488887 and 306.\nAnswer: 84622158","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*c = -2145344 + 2145534 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 250435?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86*f = -44*f - 319*f + 12742. Solve -213*z + 236*z = -f for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c**2 + 6148*c + 43232 = 0. What is c?\nAnswer: -7, 1544","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -803698*o**3*y + 2*o**2*y - 12345915*y wrt o?\nAnswer: -2411094*o**2*y + 4*o*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the first derivative of -v**7\/504 + v**6\/72 - v**5\/24 + 5*v**4\/72 + 23*v**3\/3 - 32. Let u(r) be the third derivative of w(r). Factor u(q).\nAnswer: -5*(q - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + -7\/2. Let n be (4\/(-9))\/(2\/(-366)). Let o = n + -82. Which is the smallest value? (a) o (b) t (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16.2 + 16. Let z = -0.17 - q. Let g = 0.03 - z. Sort -0.8, g, -1\/3 in descending order.\nAnswer: g, -1\/3, -0.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01638 rounded to 3 dps?\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.859 and 0.6.\nAnswer: -1.7154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 + 36\/(-8))\/(225 + -12). Which is smaller: -1 or t?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 56199, 103661, 151123, 198585, 246047?\n\"Answer: 47462*u + 8737","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00016446 rounded to five dps?\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 3239?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than -5\/19789?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 5*w**2 - 3358*w + 74571. Determine a(23).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -29953000 rounded to the nearest 100000?\nAnswer: -30000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 377, 379, 381, 383, 385?\n\"Answer: 2*q + 375","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -168*y + 82. Let r(h) = -1097*h**2. Calculate g(r(w)).\nAnswer: 184296*w**2 + 82","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 + 5. Let h = 5 - c. Let l(s) = -s**3 + 2*s**2 + 2*s**2 + s + 0*s**3. Give l(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1249206307 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*g + 1150 - 1130 = -14*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.01 - -0.21. Let k = -5.5 - -5. Which is the nearest to n? (a) k (b) -0.2 (c) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 n when two letters picked without replacement from ininnn.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m + 4*m = -1948. What is the tens digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 5*v = -109100, 87322 = 4*x + 33*v - 31*v. Is x a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -31*j - 952. Give z(-11).\nAnswer: -611","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -427 + 426.7. Let c be 12\/88 + (-3)\/6. What is the closest to 1 in g, c, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:34 AM and 12:12 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 67597, 67626, 67675, 67744, 67833?\nAnswer: 67942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17 + 9. Let d be (-14)\/a + 4\/16. Find the third derivative of -d*f**2 + 4*f**2 + 0*f**3 + f**3 wrt f.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50338.\nAnswer: 2, 25169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 420561 a multiple of 121?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (27 - 19) + -20 - -48.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*t**3 + 38*t + 6233*t**2 - 70*t**3 + 19*t**3 - 39*t + 24*t**3.\nAnswer: -2*t**3 + 6233*t**2 - t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 32 + -30. Solve 2*b = -w*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*g + 10*j - 8*j, 5*j + 19 = -4*g. Suppose -s = -0*s. Let v be 3 + 0 + 13 - s. Sort g, -5, v in descending order.\nAnswer: v, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-21 + 21)*1\/(-2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1\/2)\/(p*p**3\/p))\/(p*p**12*p*p*p*p*p\/p**(-42)) assuming p is positive.\nAnswer: p**(-127\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 228 and 13080759?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -3*n**2 - 14*n + 21. Let t(g) = 6*g**2 + 27*g - 41. Let m(u) = 5*f(u) + 3*t(u). What are the prime factors of m(-9)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -116860*g**3 + 58428*g**3 - 265*g**2 + 58431*g**3.\nAnswer: -g**3 - 265*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -3*f. Let x(p) = -31*p + 72. Determine l(x(a)).\nAnswer: 93*a - 216","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4473171?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, -4, 1.33, 0.4, 3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 e when two letters picked without replacement from jjleliijlielllll.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73 is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29881 is divided by 67.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 69282 and 83?\nAnswer: 5750406","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(1\/13)\/z**(-1\/5))\/(z**2*z**0) assuming z is positive.\nAnswer: z**(-112\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 645777 is divided by 64?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -3186\nAnswer: 5\/3186","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most as big as 22\/18575611?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 21955412 divided by -941\nAnswer: -23332","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 4*v**2 - 10*v + 72. Let l(p) = 6*p**2 - 15*p + 107. What is 5*l(b) - 8*s(b)?\nAnswer: -2*b**2 + 5*b - 41","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mh when two letters picked without replacement from {h: 3, j: 2, q: 6, m: 1}?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -5*(-27)\/(-45) - (-8679994)\/(-2). Round x to the nearest one hundred thousand.\nAnswer: -4300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t**3 - 3*t + 3*t)*(-2*t - t - 5*t)*(-4 + 2 + 3).\nAnswer: -8*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*i**3 + 225*i + 377*i - 136045*i**2 + 6 + 136044*i**2 as k*i + x + w*i**2 + o*i**3 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 820271054.\nAnswer: 2, 410135527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 5*j = -5, 3*h = -3*j + 1652 - 1619 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**3 - 12*p**2 + 7*p + 63. Give v(-12).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-13)\/(-52))\/((-1)\/(-4)) + 2. Let z = 4 - 5. What is the units digit of 1\/((z\/1)\/(-92 + t))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 8 - -8252407?\nAnswer: 8252413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + s - 560 = 110, 3*s = 2*r - 328. Find the third derivative of -r*i**3 + 6*i**5 + 61*i**2 + 168*i**3 + 24*i**2 wrt i.\nAnswer: 360*i**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 - 7. Suppose y*b - 8 = 4. Suppose 2*x - 4 - 9 = -3*q, -3*x + b = -q. Solve k - 3 = x, 0 = -2*w + k + 5 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/((10\/56)\/(-5)). What is the highest common factor of 98 and h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*a - 4*a - 2*a)*(2 - 2 + 1) - 3*a + 0*a + 5*a - a + 4*a - a + 0 + 0 - 2*a.\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -13*z - 810. What is v(-67)?\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 123*v = 2*x + 99*v - 838, -3*x + 4*v = -x - 138 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - 3*a = 3, -1556*l + 4*a - 4 = -1552*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -354 or 13829?\nAnswer: -354","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 + (42 - (29 + 9))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:48 PM and 11:30 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9689*y**5 + y**4 - 660263*y wrt y.\nAnswer: 193780*y**3 + 12*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9\/(-12)*(-6548)\/3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, j: 2, h: 1, b: 1, g: 1}. What is prob of picking 1 h, 1 j, 1 b, and 1 p?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 46102, 92430, 138758, 185086?\n\"Answer: 46328*h - 226","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -152*b - 19618. Give m(-129).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j - 4*m + 11 + 7, -j = 4*m + 1. What is the remainder when 34 is divided by j?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 92*b - 1673. Give r(18).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) + -3)*-6 - 3*sqrt(468).\nAnswer: -24*sqrt(13) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 306123924?\nAnswer: 2, 3, 1109, 23003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4.6606 + 2.3394. Sort p, -2\/5, 39.1 in decreasing order.\nAnswer: 39.1, p, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 470?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2716288*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13 - -18. Let x = l + -10. Let z = -5.7 + 6. What is the biggest value in 2\/13, x, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -84653 plus 0.05506?\nAnswer: -84652.94494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 30 = 5*l, 2*l + q - 10 - 3 = 0. Suppose -16 = l*k - 0. What is the closest to -1\/2 in -0.5, -1\/10, k?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.06 - -0.11. Let p = a + -0.05. What is the nearest to -1\/2 in 3\/2, p, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 64538041?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sjsj when four letters picked without replacement from sjsjjjjjsjjj.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -939 divided by 313.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1345658, 2691357, 4037116, 5382965, 6728934?\n\"Answer: 5*d**3 + 1345664*d - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6 + -22)\/2 - -225. Suppose -207*q = -u*q + 378490. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 152ba88 (base 13) to base 5.\nAnswer: 3213010430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2 - 1. Let q(v) = 15*v**2 - 3. Let x(g) = 3*o(g) - q(g). Let f(u) = 2*u**2. Give f(x(m)).\nAnswer: 288*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-1)\/2)\/(3\/18). Let a = f + 9. Solve 0 = 2*n - 2 - a for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -138, -0.1, -0.2, 2\/5, -105 in increasing order.\nAnswer: -138, -105, -0.2, -0.1, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2258?\nAnswer: 2, 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -22 - (-29 - (-4 + (7 - 16)))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 6*g. Let l be o(1). Suppose -l = -4*w + 2. Suppose q + w = 2*s, 0 = 5*s + q + 3 - 22. Which is the nearest to -1\/4? (a) -0.2 (b) s (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 19\/4 of a decade?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2, -9, -3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87 = 2*g + 83 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 36*c - 22. Give p(0).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -22020220 (base 3) in base 12?\nAnswer: -3596","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 518546 to the power of 1\/2, to the nearest integer?\nAnswer: 720","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2129 + -1305. Let t = 1323 - b. Suppose 4*r + 119 = t. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fpxqf. Give prob of sequence pq.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + 3*x = 699406 - 699448, 6*x + 128 = -5*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/491904 and 179\/137733120.\nAnswer: 137733120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 13247, 53020, 119319, 212144, 331495, 477372, 649775?\n\"Answer: 13263*n**2 - 16*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 11151, 4 in increasing order.\nAnswer: 4, 6, 11151","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (316 + 28*i - 316)*((3*i - 6*i + i)*(2 - 4 + 4) - 2 + i + 2) to h + l*i + w*i**2 and give w.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + p - 12 = 0. Suppose -p*x + 4*x + 4 = 0. Sort -5, 1, x.\nAnswer: -5, x, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -291 (base 13) in base 2?\nAnswer: -111001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, i: 2}. Give prob of sequence iiv.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s**4\/6 - 20431*s**3\/2 + 1233675*s**2 - 7279468*s\/3 = 0. Calculate s.\nAnswer: 0, 2, 119, 61172","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*f + 21*f = -86. What is the third derivative of -18*y**3 + 203*y**2 + 110*y**4 - 70*y**f + 17*y**3 wrt y?\nAnswer: 2640*y - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -68061412, -136122825, -204184238, -272245651?\n\"Answer: -68061413*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2528*k**5 + 2571*k**5 - 4714*k**5 + (0*k - k**2 + 0*k)*(k**3 - 2*k**3 + 2*k**3).\nAnswer: 384*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 33 - 29. What is the smallest common multiple of 8 and r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1858*q + 92423 = 409*q - 36480 + 17820 for q.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.3 (b) 3\/5 (c) 1\/4 (d) -1624 (e) 0.2 (f) -12.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 495\/2*(10\/(-30) + 3). Calculate the greatest common factor of d and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the first derivative of -y**5\/60 + y**4\/12 - y**3\/3 + 19*y**2\/2 + 35. Let m(b) be the second derivative of k(b). Give m(4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 - 5. Let r = f - 5.99972. What is r rounded to four decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -w - 1. Solve 2*a = w*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 899.56 - 851.5763. Let u = -87.9728 + p. Let b = u + 40. Round b to three dps.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**3 - 5*r**2 + 3*r - 3. Let b be n(5). Let k = b + -7. Let u be (-8)\/(-10)*k\/2. Put 3, u, 0 in increasing order.\nAnswer: 0, u, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -3 = 0.112?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001029699 rounded to seven dps?\nAnswer: 0.000103","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d + 77 - 95. Let y(l) = 2*l**2 - 6*l - 3. Let o be y(d). Let q be 2\/(-2) - -43*1. Calculate the highest common divisor of q and o.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -6) + -3 + -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 328035?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (3*(-72)\/28)\/(18\/(-63)) is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -151 + 148 - (7 + -2 + -3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7470048 and 384?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -890*r + 593. Is v(-48) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 2*t - 8*h - 260, 2*t + 3*h - 228 = 0. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**3 + 6*g**2 - 3*g + 15. Let p be x(6). Let f = 15 + p. Let r be (-16)\/6*f\/(-16). Solve 0*i + i = -r for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*g = 69 + 1 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/142 and 65\/128?\nAnswer: 9088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18449 is divided by 158?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (100\/8)\/((-14)\/(-228)). Let v = j - 14789\/70. Let b = -2\/123 + 1127\/1230. What is the common denominator of v and b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -80, -278, -586, -1004, -1532, -2170, -2918?\n\"Answer: -55*n**2 - 33*n + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 488?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18318546?\nAnswer: 2, 3, 19, 29, 1847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/16 and 19\/424.\nAnswer: 848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n**3 - 160*n**2 - 1148*n - 992 = 0. Calculate n.\nAnswer: -31, -8, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 64, 52, 42, 34, 28, 24?\n\"Answer: m**2 - 15*m + 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (12\/24)\/((-1)\/(-38)). Suppose -6 = g - 1. Let d = g - -24. Is d >= f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4351 = -27*t - 1300. Calculate the remainder when 447 is divided by t.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -2*z + 3. Let k be y(4). Let d = 0 - k. Put -21, d, -2 in ascending order.\nAnswer: -21, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4044880926?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the first derivative of -n**7\/70 - n**4\/8 + n**2 - 1. Let t(v) be the second derivative of r(v). What is the second derivative of t(q) wrt q?\nAnswer: -36*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -23*b**5*x**3 - 3*b**5*x**2 + 51*b*x**3 + 3*b*x**2 wrt b?\nAnswer: -460*b**3*x**3 - 60*b**3*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1247832?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3054?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -321504501*p**4 + 191*p - 65246 wrt p.\nAnswer: -3858054012*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44402259.\nAnswer: 3, 11, 19, 23, 3079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0\/(-2))\/1 + (-12)\/(-6). Solve -y*l = -3*l - 1 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 2)*(30 + 0 + 2*g + 89).\nAnswer: 2*g + 119","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 + -6. Let u(f) = 16*f**3 - f. Let n be u(h). Solve q + n = -2*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.419 + 0.306. Let o = -2.1 - a. What is o rounded to two decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 28 + -169\/6. Let a = 11 - 20. Let j = a - -9.2. What is the third biggest value in 1, j, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -107, -1, 516, 0.\nAnswer: -107, -1, 0, 516","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(1800) - (sqrt(1800) - (sqrt(1800) + 2*sqrt(1800)))))\/(sqrt(54)\/(1*sqrt(9))*3).\nAnswer: -30*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 + -88350?\nAnswer: -88352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -71*k - 466. Let v be l(-8). Solve -v*p + 106*p = 16 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 0 - (50 - 48)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(-2)*(-2 - 0). Let u(c) = -c**3 - 8*c**2 + 2*c - 61. Let r be u(-9). Put r, -17, s in decreasing order.\nAnswer: r, s, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27359258.006 rounded to the nearest one million?\nAnswer: 27000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7.674 - -7.1. Let o = p - -0.074. Which is the smallest value? (a) 3 (b) 0 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the second derivative of m**9\/20160 - m**8\/8960 - m**7\/1680 + 23*m**4\/4 + 66*m. Let r(z) be the third derivative of u(z). Factor r(o).\nAnswer: 3*o**2*(o - 2)*(o + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 945528.\nAnswer: 2, 3, 39397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((c\/((c\/(c\/c**(-14\/11))*c)\/c))\/c)\/c*c**(-20))**(-1\/24))**(10\/3))**(-2\/39) assuming c is positive.\nAnswer: c**(-1085\/7722)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-21)\/16681*4\/(-12)*2. Let m = c - -2091\/347918. Which is greater: -1 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 247 divided by 13.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 + -1d5a?\nAnswer: -1d56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**2\/9 + 412*k\/9 - 15232\/9.\nAnswer: 2*(k - 32)*(k + 238)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**3 - 7*o**2 - 7*o - 5. Let u be r(8). Suppose 16 = -4*q + y + u*y, -3*q = -4*y + 15. Which is the closest to q? (a) 1 (b) 1\/5 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1481 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000005898 to six dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 14c7a (base 14) in base 11?\nAnswer: 35a59","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/4)\/((12\/(-9))\/(80\/600))?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 325421.\nAnswer: 325421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 982, 4, -0.032, -6.\nAnswer: -6, -0.032, 4, 982","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 374872?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 135 (base 6) to base 8.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2608001\/4000 - -652. Let p = f - 72999\/4000. Find the common denominator of p and 1\/11.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 36.1 - 38.1. What is the closest to 1 in -3\/4, -3, c, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87847 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2677, -10722, -24137, -42922, -67077, -96602, -131497?\n\"Answer: -2685*s**2 + 10*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20 + -28 + (-1 - -7).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 462 = 5*k, -5*k + 4*o + 286 = -2*k. Let x = 107 - k. Calculate the remainder when 134 is divided by x.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6480 divided by 3.\nAnswer: 2160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, 23, -4 in increasing order.\nAnswer: -5, -4, -3, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -43 - -47. Let v be 0*g\/(5 - 1). Solve v*f - 2*f - 2 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -6*r + 3*r. Let l(t) = -r*t - t + 4 + 3*t + 2*t. What is the units digit of l(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 3*g = 9, 2*l - 3*g + 2*g = 3. Let k(m) = -2*m. Let h be k(1). Let d = 6 + h. Solve 5*p + 16 = 2*z, -d*p + l*z - 18 = z for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -3*z**2 - 12*z - 12 = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 133569?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5832846.\nAnswer: 2, 3, 23, 73, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 51222?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**3 + 6*o**2 - 3*o - 2. Let c be y(-7). Let v = -45 - c. Let j be ((-12)\/v)\/(3\/15). Solve j*u = -3*x - 0 - 5, 5*u + 35 = 2*x for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -455, -474, -493, -512, -531?\nAnswer: -550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and 21.629.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5331121*x**2 + 11760056 wrt x.\nAnswer: 10662242*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 4*c**2 + 16*c + 16. Determine o(-4).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 26\/5 + -187\/35. Let q = -62.35 + 61.95. Put 27\/7, q, h, 0.3 in decreasing order.\nAnswer: 27\/7, 0.3, h, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7133009?\nAnswer: 13, 548693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2393 + -2392.9997618. Round t to 5 decimal places.\nAnswer: 0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.012 and -15633.4?\nAnswer: 187.6008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -227*u + 204*u + 115 = 0. Solve u*m = -2*h - 2, 5*m + 4 + 0 = -4*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -q**5\/8 - 943*q**4\/8 - 9267*q**3\/4 - 34141*q**2\/4 + 18535*q\/8 + 69225\/8 = 0.\nAnswer: -923, -15, -5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-6)\/88)\/((-1)\/4). Which is smaller: r or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 plus 18.059?\nAnswer: 16.059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 247957 to the power of 1\/3, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4298\/3 + 1431. Let k = -32.66 - -33. Which is the second biggest value? (a) k (b) u (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 390118621?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.95 + 1.85. Let o = 0.34 + -0.348. Is o less than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55\/2 of a kilogram in grams?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7991051?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 3*p - 12 = 0. Suppose -4*c + 6 = -p*w, -3*w - 4*c + 2 = -16. Solve -2*s = 4*j + 2, 5*j + s - w*s + 13 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -138, -5, 194, 447, 742?\n\"Answer: -2*q**3 + 45*q**2 + 12*q - 193","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1808 - 3083. Let g = -1268.264 - a. Let k = 6.6 - g. What is k rounded to 2 dps?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:29 PM and 11:08 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 7166163?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 5459*p**3 + 7*p**2 + 12*p + 7. Let x(k) = -5458*k**3 - 8*k**2 - 13*k - 7. Let n(g) = -5*s(g) - 4*x(g). Is n(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z = -872*r + 869*r + 86, 0*z - 4*r = 2*z - 110 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -982 - -1825. Suppose 5*h + 2*b = o, -340 = h - 3*h + 2*b. Is h\/14*18 + 16\/(-56) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -34, 3\/4, -26242, 1\/8, 4 in increasing order.\nAnswer: -26242, -34, 1\/8, 3\/4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the third derivative of -13*s**8\/168 - 4*s**7\/105 - 53*s**5\/5 + 45*s**2 - 13. What is the third derivative of i(l) wrt l?\nAnswer: -1560*l**2 - 192*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n*n**(-1\/2)*n\/((n**3\/n)\/n*n))**(-18)*n\/n**(4\/5)*n**2*n**4\/n**0 assuming n is positive.\nAnswer: n**(-14\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*n**2 - 2 + 2 + (-1 + 1 - 2*n)*(3*n + n - 6*n) - 5*n**2 - 22*n**2 - 320 + 2*n + 318.\nAnswer: -25*n**2 + 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 77 and 11594.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, b: 2, c: 1}. Give prob of picking 1 c and 1 b.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 26383915367 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -12, 7, 62, 171, 352, 623?\n\"Answer: 3*t**3 - 2*t - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -14\/5, -5\/6, 1, 4\/5 in ascending order.\nAnswer: -14\/5, -5\/6, 0.4, 4\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -408 = 79*f + 540 for f.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 14*n**3 - 17*n**2 + 55*n + 99. Is 309 a factor of j(13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -128*g = -299*g + 4446 for g.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 629.4 - 629. Which is the closest to 144? (a) h (b) -0.2 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes before 7:22 PM?\nAnswer: 4:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/53? (a) -17 (b) 106 (c) -809\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 498 - 329.27.\nAnswer: 168.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -3*x**2 - 29*x + 10. Let f be i(-8). Calculate the highest common factor of 20 and f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**3 - 19*m**2 - 46*m - 84. What is n(21)?\nAnswer: -168","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t + 6. Let q be (-12)\/(-10)*5\/2. Let d be n(q). Suppose -20 = -d*o + 4. Solve 3*v + 6 = -2*b - 15, b + o = -v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, z: 1, g: 2}. Give prob of sequence hz.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (45*h - 16 + 16 + 0*h + 3*h + 0*h + 0*h + h - 2*h + 3*h + h - 3*h + (-2*h + 0*h + 3*h)*(3 - 6 + 4))*(-h + 3*h - h).\nAnswer: 49*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -193\/28 - 27\/7. Find the common denominator of v and 67\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**5\/2 + 17*u**4\/2 - 45*u**3 + 25*u**2 + 875*u\/2 - 1875\/2.\nAnswer: -(u - 5)**4*(u + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 146 - 136. Let d = -26 + 26.51. Let x = -2.51 + d. Which is bigger: b or x?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 419 and 418 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2061767*z**2 - 28*z + 120082134 wrt z.\nAnswer: 4123534*z - 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 - -108 - 8\/((-32)\/12) a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 4*m**2 + m. Suppose -3*s = 2*n - 2, 4*s - 5*n = -2*n - 20. Let r be (-1 - 0) + s*2\/4. Give f(r).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -2*s + 5, -2*b + 15 = 5*s + 34. Suppose b*p = -28 + 109. Calculate the remainder when p is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 45 and 3582?\nAnswer: 17910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a year in months?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 83 + 18 + 56 + -157 - (155 + 1)?\nAnswer: -156","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000013792 rounded to six decimal places?\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 4407.5 * 10310\nAnswer: 45441325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 73 - 215\/3. What is the biggest value in -3, -4\/31, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9\/10 of a litre?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (45\/(-25))\/((-1)\/(10\/3)). Calculate the highest common factor of 12 and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 87 divide 235131855?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**2 + 22*g - 103. Calculate d(-33).\nAnswer: 260","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -8*(-6)\/(-21) + 8\/28?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18308, -72233, -161770, -286919?\nAnswer: -447680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the second derivative of -d**7\/42 - d**6\/15 + 43*d**5\/5 + 1495*d**3\/3 - 13*d - 207. What is the second derivative of f(v) wrt v?\nAnswer: -20*v**3 - 24*v**2 + 1032*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -211 - -212. Let w be v\/((-18)\/(-12)) + (-2)\/3. Solve w*k + 16 = -4*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -212244415*k**2 - 755016311*k wrt k.\nAnswer: -424488830","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -10689124?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8279*d**3*m*q + 8*d**3*q + 106*d**2*q + 2*d*q + 2*q with respect to m.\nAnswer: 8279*d**3*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) 3 (c) -0.5 (d) -0.036\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**3 - 7*o**2 + 14*o - 16. Let c be r(8). Let v = -393 + 1201. Calculate the common denominator of 49\/10 and -1 - -1 - v\/c.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -21 and -354 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 578721.9mg to grams.\nAnswer: 578.7219","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -57.67652 to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**3 + p**2 + p + 3. Let t be b(0). Let o(m) be the third derivative of m**4\/24 + m**3\/3 - m**2. Let i(a) = 2*a + 6. Calculate t*i(d) - 8*o(d).\nAnswer: -2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (30028\/12 - -4)*(-1 - -4). Suppose 10*u - i - 4901 = 0. What are the prime factors of u?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/73 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1142889886 divided by -8529029.\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 2*x = -165780, 207*x + 66288 = 2*t + 203*x. List the prime factors of t.\nAnswer: 2, 11, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18490 and 172?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 873120829 is divided by 358.\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -58\/81 and 103\/44280.\nAnswer: 132840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 30140243839 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 - -283\nAnswer: 282.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 - 51 + 63 + 4*k**2.\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 5) to base 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 3*t. Let r(v) = -5*v - 2. Determine s(r(j)).\nAnswer: -15*j - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 2*f + 13. Let d be b(-8). Let r(z) = -z - 4. Let q be r(d). Sort -3, -2\/7, -4, q in descending order.\nAnswer: -2\/7, q, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = 2*h + 3*l, -h + 64 = 3*l + 76 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7064 + -7058. What is the least common multiple of (-6)\/(24\/(-9) - -2) and q?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -124, -481, -1060, -1849, -2836, -4009, -5356?\nAnswer: -6865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3\/625 - -1211\/8125. Which is the second biggest value? (a) 245 (b) u (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes after 9:35 AM?\nAnswer: 4:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 19193 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ruddidddrrddididddrd. What is prob of picking 1 d and 3 r?\nAnswer: 16\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*a + 16974 = 59*a. What is the hundreds digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -138446*p + 138433*p + 133 + 127 = 0 for p.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6 + 3 + 0)\/(-1). Let i(t) be the first derivative of -1\/16*t**4 - 1\/4*t - 3\/8*t**2 + 2 - 1\/4*t**c. Determine f so that i(f) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q = -3*f - 18, -4*f + 4*q = 2*q for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -m**2 + 17708*m + 35420 = 0. What is m?\nAnswer: -2, 17710","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b\/((b\/b**1*b)\/b)))**44*(b*(b*((b*b**(-15)*b)\/b)\/b*b)\/b)\/(b\/(b*b**(-2\/3))*b))**(-47) assuming b is positive.\nAnswer: b**(2068\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -33039614*u**3 + u**2 - 1328153*u + 16 wrt u.\nAnswer: -198237684","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 654277.6 micrometers?\nAnswer: 65.42776","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 106 + -153. Let v = 53 + t. What is the lowest common multiple of v and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4794941 and 111?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + b = -2*v + 16, 0 = -5*b - 10. Let w = -29947 + 29950. Solve w*l = v*i, -i + 0*i - 3*l = -15 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/9*7986\/(-5324).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -30, -24, -18?\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 + 2. Which is greater: 0.03 or g?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.551405l in millilitres?\nAnswer: 551.405","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -448603.3 to the nearest one hundred.\nAnswer: -448600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.85 + 0.29. Let y = -2.34 + x. Let b = -3 - y. Which is greater: b or -0.3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, -5, 553.42?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c - 3*c. Suppose c*a = -3*a. Suppose a*x + 45 = x. What is the remainder when x is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 10 - 10)*(-2 + 0 + 0)*(93 - 93 + 7*p).\nAnswer: 182*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 4*a = 2*b - 156, 4*b - 2*a - 362 = 0. Suppose 2*s - 95 = 5*y, 2*y - b = 2*s - 4*s. Let f = 105 - s. Is 20 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -70*m + 74. Let u(d) = 23*d - 24. Determine 6*l(h) + 19*u(h).\nAnswer: 17*h - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9170026?\nAnswer: 2, 89, 51517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 57, 115, 171, 225, 277?\nAnswer: 327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tttsxts. What is prob of sequence txs?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3411 + 3361 + (48 - 1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/10*-260*(-78)\/156?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-4))\/((-48)\/(-17664)*8)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 l when two letters picked without replacement from {f: 1, q: 5, r: 4, n: 1, l: 1, a: 1}.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = o + 155, -228 = -11*k + 8*k + 3*o. Let u = -66 + k. Suppose u*z - 17*z = -24. Solve 0*t - 3*t = -z for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:31 PM and 9:45 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.5 and -34.\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 - -16?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 4.05, -2\/9, 7\/6, -5, -1\/3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**2 - 48*y - 2754. Let j be l(102). Calculate the greatest common factor of j and 216.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/7? (a) -4 (b) 2\/7 (c) -2\/549\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -8 (b) 3\/2 (c) 2\/5 (d) 7\/12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**3 - g**2 - 2*g + 3. Let f be 121\/(-44) - ((-28)\/(-16))\/7. Determine p(f).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3179.\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53173?\nAnswer: 53173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 64655*x**2. Let h(b) = -b. Determine p(h(v)).\nAnswer: 64655*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(63) + -4)*-3.\nAnswer: -18*sqrt(7) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1614?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2077 + -2081. Put 0, o, -390, 4 in ascending order.\nAnswer: -390, o, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17160827039 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 4*k. Let n(h) = 70*h - 68*h - 3 + 3. What is n(j(m))?\nAnswer: 8*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 22348679 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 633 is divided by 112?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -760, 3, -31.584, -5, -4, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3\/35 - -31\/35. Let f = -269\/630 - -8\/63. Let i = 11\/30 - f. Sort u, -4, i in increasing order.\nAnswer: -4, i, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64488 a multiple of 66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4090\/(-12) - 30\/180. Let q = o - -345. What is the lowest common multiple of q and 116?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 806385 to the power of 1\/2, to the nearest integer?\nAnswer: 898","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17317964?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (5 + ((sqrt(18) + sqrt(18) + sqrt(18) + ((-1*sqrt(180))\/sqrt(10) - sqrt(18)))\/sqrt(9) - (sqrt(60)\/(sqrt(24)\/sqrt(4)))\/sqrt(5)))**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - 2. Suppose o = 2*t + 25, -o + y*t + 13 = t. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4821*r + 2179*r = 549021 + 290979 for r.\nAnswer: 120","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from {v: 1, s: 4, d: 1, w: 7}?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -87 - -86.9999975. Round d to 6 decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 5*k**2 - 7*k + 2. Determine x(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 502 - 502.15584. Let u = p - -0.154. Round u to four dps.\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from wnwpnuninpnunuuwn.\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1, -0.3, 797, -2\/3, -15, 0, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1579595033 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - 1 + 3. Let a = 3 - x. Solve 2*i + i + 5*q - 18 = 0, a = i + q for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.064 plus 153?\nAnswer: 152.936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2311 = -4*g - 1081. What are the prime factors of (2\/((-12)\/21))\/(8\/g)?\nAnswer: 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -4*((-19)\/4 + 4). Let n be -1*2 - (-5 + 1). Solve 2*r - 2*c = -2, -6*r - 7 = -p*r - n*c for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 216211 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-47)\/(-1)*(0 - 2). Let r = w - -90. What is the tens digit of (4 + r\/8*206)\/(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96436581.268 take away 20.67?\nAnswer: 96436560.598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 211 - 212. Which is bigger: -24\/31 or j?\nAnswer: -24\/31","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -40, -4, 2\/11, 3?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes before 8:28 AM?\nAnswer: 2:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21 is divided by 17?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 696 = 4*w + 216. What is the remainder when w is divided by 42?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 3*p + 6. Suppose 55 = -7*z - 1. Let j(i) = -i**2 - 3. Let t(k) = 2*k**2 + 8. Let r(u) = z*j(u) - 3*t(u). Determine r(s(g)).\nAnswer: 18*g**2 + 72*g + 72","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 120, 119, 118, 117?\nAnswer: 116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a century in years?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 93 + 63. Suppose 3*o = 4*o - d. Calculate the remainder when 154 is divided by o.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:27 PM and 5:17 PM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -6874, -13726, -20554, -27358, -34138?\n\"Answer: 12*g**2 - 6888*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -19790254.8 rounded to the nearest 1000000?\nAnswer: -20000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 467707?\nAnswer: 113, 4139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from {h: 4, m: 7, n: 1, x: 4, i: 3}.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 19 and 3.2?\nAnswer: 60.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*m + 3 + 3 - 8)*(-1 + 2 + 1).\nAnswer: 14*m - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the third derivative of -y**6\/60 - y**5\/30 + y**4\/4 - y**2 - 12. Find the second derivative of b(k) wrt k.\nAnswer: -12*k - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.149933l?\nAnswer: 149.933","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 80597, 161457, 242317, 323177, 404037, 484897?\nAnswer: 565757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 90101 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q = 2*f - 32, -q + 107*f + 14 = 109*f for q.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 31365 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-36)\/(-24))\/(18\/(-8)). Let d = -0.1 + 0.2. Let g = -0.2 + 0.1. Which is the nearest to w? (a) d (b) 1 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 173635 is divided by 88?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -30 - -12031?\nAnswer: 12001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 722 = -2*p + 3*q, -351 = -p - 4*q. Is p*(-3 + (-12)\/(-3)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - ((4 - 12) + 8 + -13)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 15 - 5 = 0. Suppose -a*i + 2 = 7. What is the tens digit of (-2)\/i*42\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 161*k**4 + 3*k**3 - 2065.\nAnswer: 644*k**3 + 9*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 plus -8536642?\nAnswer: -8536664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 184*d**2 - 33*d + 14. Give i(1).\nAnswer: 165","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**2 - 280*r + 2445. Give w(9).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6\/11, 0.1, 4, -2, -0.022, -5.\nAnswer: -5, -2, -0.022, 0.1, 6\/11, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*z**6 - 2*z**5 - 1474*z**3 + 267291*z**2 - 5 wrt z.\nAnswer: 360*z**3 - 120*z**2 - 8844","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the third derivative of -g**8\/48 - 11*g**5\/30 + 4*g**2. What is the third derivative of h(l) wrt l?\nAnswer: -420*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t**(-3\/4)\/t*t*t)*t)**(5\/8)*(t*(t*t**17*t)\/t)\/t**(2\/29) assuming t is positive.\nAnswer: t**(18583\/928)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -8464, -16419, -24374, -32329, -40284, -48239?\n\"Answer: -7955*h - 509","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*433.\nAnswer: -1299","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**3 - 11*q**2 - 12*q + 3. Let k be d(12). Suppose -2*v + k*c + 85 = 0, -5*c = -v + 30 + 23. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/1197828 and -149\/486.\nAnswer: 3593484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 272 - 168. Suppose -16*v = -13*v - 24. What is the greatest common factor of v and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4462712352.\nAnswer: 2, 3, 7, 2213647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 13 - (-1139)\/(-85) - 11\/(-15). Is -24 at least m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 divided by -2\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1310314 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**3\/5 - 411*b**2\/5 - 78*b + 1640.\nAnswer: -(b - 4)*(b + 5)*(b + 410)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 3416 (base 7) to base 4\nAnswer: 103112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 16) to base 4.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 16 + 11b8a?\nAnswer: 11ba4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(120))\/sqrt(4))\/(sqrt(6) + sqrt(12)\/sqrt(18)) + -1*sqrt(605)*-6*1.\nAnswer: 255*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - 0. What is the derivative of 7*y**f - 3*y**2 + 1 + 9*y - 9*y wrt y?\nAnswer: 8*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.2 (b) 240 (c) 2\/13 (d) 5\/6 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - 30229.71?\nAnswer: -30223.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**3 - 3*p**2 - 3*p - 2. Let c be x(4). What is the highest common divisor of 1 and c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*l = 4801 + 2388. What is the greatest common factor of l and 79?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 16 in 3\/4, 0.4, -206, 1\/3, 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in 0.1, -5, 0.2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 + 4*s**2 - 7*s - 3. Let q be w(-5). Let g be (2\/(-3))\/(73\/(-3066)). What is the greatest common divisor of g and q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0\/(-1)*(-318)\/954. Let k(x) be the second derivative of 0*x**3 + p - 17*x + 7\/2*x**2 - 1\/4*x**4. Let m(q) = q**2. What is k(m(w))?\nAnswer: -3*w**4 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 + 58*q**2 + 102*q - 650. Give b(-56).\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r*r\/((r\/(r*r\/(r\/r**6)))\/r))*r\/(r**(-2\/13)*r))\/(r**(1\/8)\/r**(-3\/4)) assuming r is positive.\nAnswer: r**(-907\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 53, 100, 149, 200, 253, 308, 365?\nAnswer: 424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1136970 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 73 + -72. Sort 5\/2, b, 0.2 in ascending order.\nAnswer: 0.2, b, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 141\/(-94)*(-592)\/(-24).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * -984.\nAnswer: 196.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0\/((-2)\/((-1)\/1)). Solve -y + 4 = i, c = -i - 3*i + 5*y - 2 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -24 + 22. Let p be -3 - -11 - (1 - u). Suppose -q - m = -262, -m = -q + p*q - 1033. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 176 = -4*p + 176 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1107 + 747. Calculate the remainder when 189 is divided by ((-20)\/(-50))\/((-3)\/s).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -357, -711, -1079, -1467, -1881, -2327, -2811?\nAnswer: -3339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -4*z**3 + z**2. Give v(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 76000 and 5230?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -5 from 178921.\nAnswer: 178926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(1*(-3)\/3*-1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 - 1 = l - 5*g, 5*g = -l + 28 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 45*g**2 - 39\/4*g**3 - 3\/4*g**5 - 27*g - 15\/2*g**4 + 0.\nAnswer: -3*g*(g - 1)**2*(g + 6)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 137\/2 (b) -21.8 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15159*t**4 - 1148*t**2 - 3 wrt t.\nAnswer: 363816*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 1*6*(-9)\/(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -20*d**3 + 0*d + 5*d**2 + 2*d + 19*d**3 - 1. Let m be u(5). Suppose 0 = -5*x + m + 1. Solve 0 = 4*t + 2*l - 12, -3*t - x*t = 5*l - 5 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15873 and 999.\nAnswer: 142857","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -29, 54 in decreasing order.\nAnswer: 54, -0.2, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1a2 (base 12) to base 4.\nAnswer: 10022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the first derivative of -m**4\/20 + 196*m**3\/15 - 4589*m**2\/10 + 5746*m + 929. Factor r(y).\nAnswer: -(y - 170)*(y - 13)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:57 AM and 4:22 PM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 11*t - 98. What is the units digit of c(19)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from nrqnqrrrrrr.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes after 5:37 PM?\nAnswer: 7:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 - 23. Let j be (-1 + 0)*(-8 - -14). Let a be p\/j - 2\/6. Solve 0 = -3*s + 6*s - a*h + 8, 0 = 5*s - 4*h + 16 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 121830?\nAnswer: 2, 3, 5, 31, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 14*r - 15*r + 6*o, 2*r + 2*o - 28 = 0. Solve 0 = r*j - 2*j - 35 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the second derivative of o**9\/252 - o**5\/30 - o**2 - 3*o. Let q(u) be the first derivative of a(u). Find the third derivative of q(l) wrt l.\nAnswer: 240*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is c + -6b3?\nAnswer: -6a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 4*k**2. Let d(y) = -1090*y**2 + 28*y. Let i(q) = -1089*q**2 + 21*q. Let l(n) = -3*d(n) + 4*i(n). What is l(z(f))?\nAnswer: -17376*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/10 and -5\/4 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the first derivative of -g**3\/3 + 7*g**2\/2 - 4*g - 3. What is the remainder when 15 is divided by o(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 2*n = 14, -14 = -4*c + 3*n - 0*n. Suppose -g = 3*t - t + 1, 0 = -5*t + 3*g + 14. Let z be (10\/(-6))\/(t\/3). Sort -2, z, c.\nAnswer: z, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**2 - c + 1. Let q(i) = -i**2 + 6*i. Let z(k) = -k**2 - k - 1. Let u(s) = -q(s) + 2*z(s). Let r be u(-8). Give l(r).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4514?\nAnswer: 2, 37, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 6 = 2*p - 3*k, 5*p + 5*k = 15. Suppose 4*j + p = 3*j. Let r = 70 + -206\/3. Which is the third smallest value? (a) r (b) -0.1 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2*w)*(-w - 4*w + 4*w) + (-4*w + 4*w - 4*w)*(2 - 2 + w) + 5*w - 4*w + 34*w**2 - 39*w**2.\nAnswer: -11*w**2 + w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -27573 divided by -3\nAnswer: 9191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 94 and 533314.\nAnswer: 25065758","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 44560*u*z**5 - 123*u*z**2 + 2*u*z + 10*u - 8*z wrt z?\nAnswer: 2673600*u*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -22*o. Let g(q) = 4593*q**2. Give f(g(p)).\nAnswer: -101046*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1254674 is divided by 156834.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:48 AM and 11:16 AM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that p**5\/3 - p**4 - 7606*p**3\/3 - 29704*p**2 = 0.\nAnswer: -79, -12, 0, 94","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes before 4:44 AM?\nAnswer: 4:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-i - 3*i + i + (1 - 2 + 3)*(3 - 3 - 2*i) - i - 5*i + 4*i)*(-8*i**3 - 2*i**3 + 9*i**3 - 3) to the form g*i + p*i**4 + h*i**2 + f*i**3 + m and give p.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1356212 (base 8) to base 6.\nAnswer: -12122230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -52\/172615 and -17\/10925.\nAnswer: 863075","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 61783129 to the power of 1\/2, to the nearest integer?\nAnswer: 7860","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4071 and 207?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 127349 is divided by 450.\nAnswer: 449","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26937 = 3*w + 4*y, 237*y = -5*w + 232*y + 44895. List the prime factors of w.\nAnswer: 3, 41, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6804, 8133, 9462?\nAnswer: 10791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j when three letters picked without replacement from {j: 3, q: 9}?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 + -6. Suppose 0 = w*n - 9, 5*v - 4*n + 126 = 714. Suppose 5*m = -4*c + c + 154, 2*c - m = v. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1.122, 1\/8, -0.69?\nAnswer: -1.122","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -2*f**3 + 21*f**2 + 27*f - 12. What is a(11)?\nAnswer: 164","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*r**3 - 326 + 31*r**2 - 403 + 729 in the form c*r**3 + i*r**2 + x*r + p and give i.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 398 and 213726.\nAnswer: 213726","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l + 1. Let v(h) = 2*h - 1. Let d(u) = -7*r(u) - 4*v(u). Let z(i) = -i**2 + 19*i - 34. Suppose 14*c = 387 - 149. Let f be z(c). Determine d(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + 3*g + 109 - 56 = 0, 2*h + g = -47 for h.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 154*l - 18*l + 171 = 0. What is the nearest to 4.2 in 0.1, -0.1, l, -2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91 - 61 = -29*p + 80 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.228624l to millilitres.\nAnswer: 6228.624","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 119\/13 - 74\/481. Solve 2*g = 4*w + 6, -7*g - x = -4*w - 2*g for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 3*p = -0*p, 0 = 4*c + 2*p + 6. Let t be (1*4)\/(-1*(-9)\/18). Calculate the remainder when (20\/t)\/(c\/(-14)) is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 51, 3\/4 in decreasing order.\nAnswer: 51, 5, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2315.9971225 + 2316. Round o to 4 decimal places.\nAnswer: 0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 1415*m = -1410*m - 33, 3*n + 4*m + 4 = 0 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24962 and 112.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 14*c**3\/3 + 3230*c**2\/3 + 2296*c\/3 - 920\/3 = 0. Calculate c.\nAnswer: -230, -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + 5*p + 7 = 0, 0 = 7*s - 4*s + 5*p - 1 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1676 - 6?\nAnswer: 1670","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, i: 2, z: 3, q: 10}. What is prob of picking 2 q, 1 i, and 1 z?\nAnswer: 27\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d**2 + 163275*d - 816250 = 0.\nAnswer: 5, 32650","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**2 - 20*h + 74. Let o be k(-23). Suppose o*z - 27 = -2. Solve 0 = -5*w - 0 - z for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a second in milliseconds?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) 5 (c) -244354\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 871 divide 14067521?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.2324 + -0.0214. Let v = 0.21100482 - f. Round v to six dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*l - 5*x - 27 = 0, -30*x = 3*l - 27*x + 15 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the third derivative of -p**6\/720 + 77*p**5\/120 - p**4\/24 - 2*p**2. Let g(w) be the second derivative of h(w). Is g(0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7984 and 1.\nAnswer: -7984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -110 + 169. Suppose 0 = -b + 4*j - 106, -2*j + z = 3*b + 363. Round b to the nearest ten.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -47 and -1078.3126.\nAnswer: -1125.3126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*p**4 + 24045*p**3 - 458253*p**2 - 2523285*p + 59652450 = 0. What is p?\nAnswer: -8034, -11, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1417, -2533, -3347, -3859, -4069?\nAnswer: -3977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -4*c**2 + 36*c + 235. Give n(14).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from shssshssssssshshhs. Give prob of sequence hhs.\nAnswer: 65\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = u - 3*c, -3*c = u + 2*u - 9. What is the smallest common multiple of 14 and (-9)\/u*(-4)\/(-3)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48563*z - 29*z**2 + z**2 - 46*z**2 - 152*z**2 + 48563*z.\nAnswer: -226*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1119 times -1044.031\nAnswer: 1168270.689","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -172 = s - 3*s. Suppose s = p + 17. List the prime factors of p.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 3*a - 18064 = -3047, 0 = c - 3*a - 3013. Which is bigger: 3000 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 23912 (b) -3\/7 (c) 0.5 (d) 2\/71\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 6, b: 13}. Give prob of sequence qb.\nAnswer: 13\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -63382793 * -0.5\nAnswer: 31691396.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*g**5 + 804*g**4 - 78423*g**3 - 6758244*g**2 - 13196412*g = 0. What is g?\nAnswer: -327, -57, -2, 0, 118","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 527, 653, 765, 857, 923, 957?\nAnswer: 953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 105, -11, -5, 2 in descending order.\nAnswer: 105, 2, -4, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - ((212 - 184) + (2 - 11)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + 4*l = -6, -17 = -4*s + 28435*l - 28432*l for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 902555?\nAnswer: 5, 180511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - 3*h + 7, -2*h = 4*s - 3*h - 27. Calculate the highest common factor of 16 and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1966*m - 1976*m - 40 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes before 6:58 PM?\nAnswer: 10:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 7 - 22 = -5*c, x = 5. Solve -c*h = 14 + 2 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 3*p = -4, -3*q + 2*p + 5 + 5 = 0. Suppose 0 = -a - q, 3*z - z = -a - 70. Let b = 54 - z. List the prime factors of b.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25 - (-2 - 12\/(-3))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 96, 164, 194, 168, 68, -124, -426, -856?\n\"Answer: -3*c**3 - c**2 + 92*c + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 25*r + 23. What is the hundreds digit of x(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the third derivative of -n**8\/2352 + n**7\/294 - n**6\/140 - n**5\/105 + n**4\/21 - 41*n**2. Factor x(p).\nAnswer: -p*(p - 2)**3*(p + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 72 - 57. Calculate the smallest common multiple of s and 1 - (0 + 2 + -28).\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*b - 17 = -7 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 45*11\/33 + -20 + 36?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -109 - 115. Let z = w - 73. Is 13 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxfgggxxxxxxxjg. Give prob of sequence gxxf.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 0.4, 3, -291?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 4*k + 3*i = 34, 5*k - 13 = 4*i. Suppose -x + 8 = -k*x. What is the units digit of (-16 - (7 + -3))\/x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -9856?\nAnswer: 1\/4928","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - h = 12, h - 9 = -0*c - 2*c. Suppose 3*t - 4*a = 5, -c*t - a + 6 = -4. Calculate the remainder when 9 is divided by t.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*z + 4*z + 12 + 3*z + 5*z.\nAnswer: 17*z + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 w, and 1 l when three letters picked without replacement from wlqdhqd?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 91 = -2*t, 3*t - j - j - 117 = 0. Let x(r) = 2*r + 9*r - t - 2*r + 0*r. What are the prime factors of x(17)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 14) to base 10.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the third derivative of u**7\/2520 - u**6\/360 + u**5\/120 - u**4\/6 + 5*u**3\/6 - 86*u**2. Let d(p) be the second derivative of b(p). Calculate d(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + ((sqrt(27) + 3*sqrt(27))*-1 - (sqrt(189)*3 - sqrt(189))\/sqrt(7)))*5)**2.\nAnswer: -900*sqrt(3) + 24325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4011437 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a kilogram in milligrams?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes after 1:29 AM?\nAnswer: 4:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 2 i when three letters picked without replacement from {i: 3, o: 2}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -149 divided by 191?\nAnswer: -149\/191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -12*q - 2. Suppose d + 38 + 19 = 3*n, 39 = -d - 3*n. Let o = -56 - d. Is 9 a factor of b(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 275168.399 rounded to the nearest ten thousand?\nAnswer: 280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -28 - -55. Suppose u + 112 = 2*u - 5*q, 0 = -3*q + 12. What is the remainder when u is divided by j?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + ((-195)\/130)\/(6\/(-76))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 5*w = -244. Suppose -4*m = 13 - w. Suppose -j - m = -2*j. Calculate the highest common divisor of j and 108.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 181919706 to the nearest integer?\nAnswer: 13488","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 + -161443?\nAnswer: -161436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r - 1. Let c be v(-1). Suppose c = -3*x + 12, 5*d - x - 22 = x. What is the lowest common multiple of d and 4 - 2 - (-18 - 0)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 - ((-63 - -16) + 30)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 3*l - 6 = 0, 2*h + 4*l + 0*l = 0. Which is the second biggest value? (a) -18 (b) h (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1\/10)*a*a\/((((a**(-1\/20)\/a)\/a*a)\/a*a)\/a))\/(a**(-10\/11)\/((a**(1\/67)\/a)\/a*a)) assuming a is positive.\nAnswer: a**(57103\/14740)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(-4) - 885\/(-20). Calculate the common denominator of -97\/10 and (-149)\/u - 3\/(-12).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/93 and 50\/279961.\nAnswer: 839883","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 4*a + 79, -m - 3*a + 64 = 6. Let t = m - 59. Solve 0 = t*c - 4*c + 8 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:27 PM and 11:55 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**5\/7 + 4*f**3\/7 + 2*f**2\/7 - 3*f\/7 - 2\/7.\nAnswer: -(f - 2)*(f - 1)*(f + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1006.94 + -1007. Sort a, 2\/11, 9, 4 in increasing order.\nAnswer: a, 2\/11, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 1206.\nAnswer: 1206","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 924 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -2*o - 12. Let a be (9\/6)\/(1\/2). Let n(z) = -3 - 1 + a. Calculate 10*n(i) - y(i).\nAnswer: 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 323 + -217. Let q = 161 - w. Calculate the remainder when q is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**2 - 67*k + 1064. What is z(42)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = s - 7, -s + 0 = 2. Sort -1, -5, j in decreasing order.\nAnswer: j, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 105 by 15.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -102, -775, -2648, -6327, -12418?\nAnswer: -21527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/7? (a) 0.3 (b) -2\/11 (c) -2809 (d) -5 (e) -12\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -2*j + 42. Suppose 3*d = -4*t + 74, 38 = t + 5*d + 11. Suppose -89 = -4*h + x, 3*x - x = -h + 29. What is the remainder when h is divided by w(t)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 1185 = -5*z + 3713, -3*f - 4*z = 3792. Let l = -472 - f. Calculate the highest common factor of l and 72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3*(-4)\/66*-1. Let o be (44\/385)\/((-2)\/10). Let z = -0.074 - 0.126. Which is the second smallest value? (a) z (b) o (c) j (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the third derivative of 11*b**4\/24 + 29*b**3\/2 + b**2 - 1540. Give n(-9).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -67*g + 943 + 118183. Does 7 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14, -21, -28, -35, -42?\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -443*c + 2*o - 21 = -448*c, -2*c - 5*o - 21 = 0. Calculate the remainder when c is divided by (1 - 1\/3)*3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 22*r - 10 = 21*r, -5*w + 5*r = -10 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 735.3404ml in litres?\nAnswer: 0.7353404","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 divided by 40.\nAnswer: -27\/40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, t: 4}. Give prob of picking 2 b.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 k, and 1 h when three letters picked without replacement from {q: 2, y: 1, k: 2, m: 1, h: 1, c: 2}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2*(-1 - (-1 - (-6)\/(-12))). Let n(q) = -6*q + 6. Let f be n(p). Solve f = -k - 46 + 51 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 1\/4, -6, -2, 22 in descending order.\nAnswer: 22, 1\/4, -0.4, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-21433*o + o**2 + 10620*o + 10659*o)*(o + o + 0*o) + 5 - 19*o**3 - 5 in the form p*o + s*o**2 + z*o**3 + w and give s.\nAnswer: -308","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -2728 divided by 682?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1\/4, -4\/5, 6 in descending order.\nAnswer: 6, 1\/4, 0, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*w**2 - w**2 - 80436*w + 80449*w to the form n*w + r*w**2 + h and give r.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 33066*p**2 - 38107 wrt p?\nAnswer: 66132*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11 - -10.5. Put -1, a, 0.5 in ascending order.\nAnswer: -1, a, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2343 + -2?\nAnswer: 2341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 27? (a) -0.01 (b) -62 (c) 1072\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lz when two letters picked without replacement from {z: 11, l: 1, k: 1}.\nAnswer: 11\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/(-10) + (-21 - 3553\/(-170)). Sort 1\/2, w, -3 in ascending order.\nAnswer: -3, w, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.22 + -6.69. Let f = l - -64.27. Let s = 104.1 - f. Round s to 0 decimal places.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 7130, 0.5.\nAnswer: 0.5, 2, 7130","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, o: 1, t: 1, b: 2, p: 1}. What is prob of sequence ofof?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -135 + 135. Suppose 5*k - 3*k = 3*n + 44, -5*k - 4*n = -110. Suppose 2*r = -0 + 4. Solve 2*j + x + r*x = k, h = 4*x - 16 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5995 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -32847*x**2 + 26882.\nAnswer: -65694*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 179\/924 and -107\/11858.\nAnswer: 71148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -104.98 - -100. Let x = 5 + h. Let a = -2.02 + x. Sort a, 0, 4 in decreasing order.\nAnswer: 4, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes before 12:57 PM?\nAnswer: 10:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*x + x - 5*x)*((1 + 5 - 5)*(-1 - 3 + 2) + 3 - 4 + 0)*(-7 + 3 + 0) as v + k*x and give k.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/(-30) - (-16)\/(-10)) + 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3410 - -3411. Let p = 17 - 17.04. What is the nearest to c in 0.2, p, -1, -14?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:20 AM and 6:58 AM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2201 (base 8) in base 11?\nAnswer: -959","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -40001670*c*i*y + 6*c*y - 3*i*y + 36146463 wrt i.\nAnswer: -40001670*c*y - 3*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*w - 26 - 14. Solve -w*l = 2*i - 18, -4*l - 2*i + 28 = 2*i for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11471 - 10490. Solve b = -4*r + 953 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -24901 + 24937. What is the greatest common factor of o and 15432?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(-6)*f*f*f**(6\/13)*f)\/(f\/f**(-3\/4)*f**(8\/9)) assuming f is positive.\nAnswer: f**(3661\/468)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 98586?\nAnswer: 2, 3, 5477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t - 0*b + b + 12, -4*t - 4*b = -24. Solve 3*x + t = 2*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c**(-3\/2))**(-37))**(-9))**(1\/15))**(10\/7) assuming c is positive.\nAnswer: c**(-333\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the second derivative of -d**7\/84 - d**6\/10 - 7*d**5\/20 - 2*d**4\/3 - 3*d**3\/4 - d**2\/2 + 36*d. Suppose k(q) = 0. What is q?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5.182 + 0.182. What is the closest to -1 in -0.02, -2\/11, d?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-8 - (-8)\/((-32)\/(-44))) + (-311)\/104. Let j = 0 - 1. Which is bigger: t or j?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 42933\/(-4)*(-2)\/18. Let x = 1190 - j. Find the common denominator of -1 - (-25)\/(-4) - -1 and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 124*t + 3 - 2 - 1 - 122*t.\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11)\/(-198) + -1 + 2\/4?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.03, -14, 14, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*b**3 - 71*b**2*l - 232*b*l wrt b?\nAnswer: 24*b - 142*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -1 - q + 1. Let n(l) = l**2 + 7*l. Let z(t) = 5*m(t) + n(t). Let w(s) = -s**2 - 2*s. Determine -4*w(x) - 3*z(x).\nAnswer: x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 178 - 142. What is the greatest common factor of x and 84?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 349611 = -5*y, -97*y = -100*y + 2*z + 209764. What is the hundreds digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1259*a + 670*a + 190*a + 190*a + 74*a.\nAnswer: 2383*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/5368480 and 113\/6529930?\nAnswer: 1358225440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l - 4*l = 5*k - 71, -2*k = -5*l - 36. Suppose -1044 = -k*z + 9*z. Is z a multiple of 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:11 AM and 2:52 PM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -39 + (22 - (3 - 7) - 13)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.422655 centuries to decades.\nAnswer: 4.22655","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.2324 (b) -11 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 491428 take away -7465749?\nAnswer: 7957177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 1 - 2)*(5*o + o - 5*o) + 0*o - 3*o + o - 4 + 4 + o + 12 - 12 - 14*o)*(2*o**2 + 0*o**2 - o**2).\nAnswer: -17*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes before 5:33 AM?\nAnswer: 2:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*v = -17626 - 10436. Is v a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3064.929nm?\nAnswer: 0.003064929","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-8)*(-71)\/284*40\/3?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 115 - 69. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13 - 32. Let k = -46 - t. Which is the second smallest value? (a) 0 (b) k (c) -3\/14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 652, 2427, 5382, 9517, 14832, 21327, 29002?\n\"Answer: 590*q**2 + 5*q + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j + 3*n + 7082, 5*j + 3*n - 17705 = 10*j. Which is greater: j or -3540?\nAnswer: -3540","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(-1*1) - 15\/(-495)*-77\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-17 - (-412)\/24) + 15975226\/12 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -174\/17 - -3175\/272. What is the common denominator of 0 + 177\/36 - (-2)\/4 and u?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4994?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19839577?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 40144 and 7072?\nAnswer: 1364896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -25.35 - -24.35. Which is the nearest to w? (a) -2 (b) -96\/5 (c) 1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -63*l - 47*l - 1441 - 3839 for l.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 731898 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*j**3 + 7*j**2 - 10*j**2 + 3*j**2 + 17*j**3.\nAnswer: 22*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -3*n + 24. List the prime factors of z(-28).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/40 and -59\/16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6097.5 - -6098. What is the biggest value in -2, -64, a, 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3439220.\nAnswer: 2, 5, 359, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 112020 - 10?\nAnswer: 112010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.4, 867, 8419?\nAnswer: 8419","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -6*d - 7. Let t be o(-6). Suppose x + 2*c = 4*c - 14, -10 = 2*c. Let f = t + x. What are the prime factors of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3736579?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 8*i**2 + 62*i - 601. What is the tens digit of o(-28)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -262 + 3*w**3 + 263 - 14*w**2 + w**3 - w to the form k*w**2 + v + m*w + s*w**3 and give k.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/10751 or 5\/2?\nAnswer: -4\/10751","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 17 - 1 = -4*w, -2*w + 4*x + 18 = 0. Suppose -w*z - 19 - 11 = 0. Let l be ((-1)\/4)\/(z\/440). Put 3, -4, l, 5 in descending order.\nAnswer: l, 5, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 23 - 4. Suppose 2 = d*x - 20*x. Let i = -0.4 + 0.7. What is the nearest to i in -3\/5, x, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1908.33 rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - 16 - (-75 + 66)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -914 divided by 457\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is (20 + (-3284974)\/88)\/(2\/(-8)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(252) - (0 + sqrt(252) - sqrt(252)) - (sqrt(63) + 3))**2 + -1.\nAnswer: -18*sqrt(7) + 71","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 120479?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70670 is divided by 255?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = 3*q + 2*f, 12*f - 7*f = -4*q - 32 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101011111010001011 - -101?\nAnswer: 101011111010010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -231, 2, -4, -566 in decreasing order.\nAnswer: 2, -4, -231, -566","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five quarters of a decade?\nAnswer: 150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 45, -281, -1329, -3459, -7031, -12405, -19941, -29999?\n\"Answer: -60*u**3 - u**2 + 97*u + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105*i = -111*i + 72. Suppose -12 = -4*p - m + 4, -3*p + 3*m + i = 0. Solve -y + 2*y - 19 = -4*f, -f = -p*y - 9 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2*3\/10 - (-32)\/80. Suppose 0 = 4*g + z - 16, -5*g + 28 = -z - x. What is the remainder when 23 is divided by g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 6786\/90 + (-2)\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 - -10.029. Round s to 2 dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.22? (a) -1.89 (b) 110 (c) 2\/35\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 4*i + 458*i**2 + 9 - 928*i**2 + 461*i**2. Let w(t) = -4*t**2 + 2*t + 5. Let z(y) = -6*n(y) + 11*w(y). Calculate z(2).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 bigger than -1459?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 625, 1, -1\/6.\nAnswer: -1\/6, 1, 625","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**5 - m**3 - m**2 - 1. Let t(o) = -14*o**5 + 75*o**4 + 5*o**3 - 65*o**2 - 24*o + 11. Let k(d) = 22*l(d) + 2*t(d). Determine v, given that k(v) = 0.\nAnswer: -3\/5, -2\/5, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 9\/(-54) - (-86)\/12. Suppose -4*k - p = -5*x, 2*x - 4 = 3*k - 2*k. Solve 0*q = -k*q - 8 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n**5\/6 - 13*n**4\/6 - 19*n**3\/6 + 37*n**2\/6 + 20*n\/3 - 22\/3 = 0. Calculate n.\nAnswer: -11, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3752 + -910. Calculate the greatest common divisor of y and 49.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1102 greater than or equal to 1104?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83*m = -59*l - 86*m + 109, -3*l - m = -3 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/10 + (-84)\/10. Let v = s + 13. Is ((-108)\/15)\/((-1)\/v) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the first derivative of g**4\/4 - 5*g**3\/3 - 5*g**2 - 2*g + 6134. Determine u(5).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (200\/(-440))\/((-1)\/(-11))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 107290430?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 30 + 25145125?\nAnswer: 25145155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 712?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 1 - 1 - 118*a.\nAnswer: -118*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -134*j**4 - 3*j**2 + 36.\nAnswer: -3216*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1348e (base 16) to base 5.\nAnswer: 10011430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -26\/3510885 and -123\/123830.\nAnswer: 428327970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**3 + 2*v**2 + 10*v - 6. Let i be f(4). Let w(k) = 3 - i*k**3 + 6*k**3 - 3*k**3 + 0*k**2 - 3*k + 3*k**2. Give w(-3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 882165145 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 197, 767, 1711, 3029, 4721?\nAnswer: 6787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes before 12:39 AM?\nAnswer: 7:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(65) + sqrt(65) + -2*sqrt(65) - sqrt(65))*-5*6)\/((sqrt(500) - (sqrt(500) + 1*sqrt(500)))*-3 - (sqrt(500)*2 - sqrt(500))*5).\nAnswer: -9*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -112*b**2*s**2 - 4*b*s**2 - 404*s**2 wrt b?\nAnswer: -224*b*s**2 - 4*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3 + (-25)\/(-5) + 0 + 2. Let h(t) = 38*t**2 + 2*t - 1. Is 51 a factor of h(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2218, 4295, 6358, 8401, 10418?\n\"Answer: -o**3 - o**2 + 2087*o + 133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -11111000101 (base 2) in base 6?\nAnswer: -13113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 4*l**3 - 6*l**2 + 8*l + 7. Let m(k) = -11*k**3 + 17*k**2 - 23*k - 20. Calculate -6*m(f) - 17*s(f).\nAnswer: -2*f**3 + 2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(56)\/(sqrt(98)*-4)*-1)\/(((-2*sqrt(120))\/sqrt(6))\/((sqrt(5) - sqrt(125))*-4)).\nAnswer: -2*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 47560 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((9\/((-792)\/(-16)))\/(-1))\/(10\/(-440)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) -4 (c) -31\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + 125 = 0, -15*f - 338 = -2*h - 705 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1830 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/1 + (99\/(-11) - (35 - 44)). Let a(o) = o**2 - 6*o - 1. Let h be a(6). Which is smaller: h or r?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-12)*2)\/1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.730644ml in litres?\nAnswer: 0.002730644","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 7*c - 5. Let w = -3 - -8. Is o(w) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10610981323 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 240\/288*(-2)\/5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from {g: 2, j: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1996 + 17845*x - 1996 - 17843*x - 10*x**3.\nAnswer: -10*x**3 + 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13407?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-16)\/12)\/(1\/(-3)). Suppose -c*l + 3*s = -9, -2*s - 4 - 2 = 5*l. What is the second derivative of l*a + a - 3*a + 2*a**2 - 5*a**2 wrt a?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -6*sqrt(44)\/sqrt(4).\nAnswer: -6*sqrt(11) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -172*x**2. Let y(f) = -f + 5*f**2 + f - 3*f**2. Give y(c(q)).\nAnswer: 59168*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.123 and 265.4.\nAnswer: 265.523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 7973, 8031, 8089, 8147, 8205, 8263?\n\"Answer: 58*c + 7915","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -3560?\nAnswer: -1\/712","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/(-6))\/((-1)\/(-3)). Suppose 0 = 4*o + 12, 7*q - 3*q = -4*o - 492. Let i be (-1)\/4 + 18\/q. Which is the third biggest value? (a) i (b) -2\/3 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 200\/(-245)*1 - (-1266)\/1477?\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**2 + 1887*q + 175160. Determine s(-98).\nAnswer: -162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 47325 to the power of 1\/2, to the nearest integer?\nAnswer: 218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -1\/5, -1\/8, -432, -4\/9?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the first derivative of -n**3\/3 + 4*n**2 - 9*n + 1. Let w be j(6). Suppose -2 = -w*a + 4. Solve -6 - 2 = -a*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.125953324 rounded to 5 decimal places?\nAnswer: 0.12595","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.072, 4\/19, -472, -0.4 in descending order.\nAnswer: 4\/19, 0.072, -0.4, -472","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hoh when three letters picked without replacement from qoooohohzozwioqoz?\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**2 + 28*t + 30. Calculate q(30).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 26085629 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 10 = 10. Solve v - 3*l + g = 0, -4*l + 12 = -v + 3*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -51 - -97. What are the prime factors of l?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 39 - 39. Suppose -2*r + 41 = -5*s, -4*r = -q*s + 3*s - 69. What is the remainder when r is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83917979 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3 + ((-130)\/(-8))\/(-5). Let f = -8934 - -8930. Which is the closest to 0.01? (a) l (b) 0.3 (c) f (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -26 - -44. Let f be ((-9)\/(-2))\/(t\/240). Suppose 2*b - 15 - 40 = -3*j, -3*j + f = 3*b. List the prime factors of j.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26 - 26 + 5*a)*(-6*a + 4*a - 3*a)*(4 - 3 + 1)*((-1 + 1 + 1)*(2 - 2 + 1) + 2 + 1 - 4 + 0 + 2 - 3).\nAnswer: 50*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 8046, -6, 0.2 in decreasing order.\nAnswer: 8046, 0.2, -0.4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 951401 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2805)\/(-18) - 3) + (-2)\/(-12). Let v = -154 + a. Is v smaller than 1\/181?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -660487678 - 6*g**2 + 660487678 - g.\nAnswer: -6*g**2 - g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1\/8 (b) 1 (c) 15\/34\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 20 = -3*c - 7, -22 = -3*t - 5*c. Let d be -3*(t + 43\/3). Calculate the common denominator of -61\/2 and (-1)\/3*78\/d.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000591628 to 6 decimal places.\nAnswer: 0.000059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -2 (b) 3 (c) -0.2 (d) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*l + 46 - 294 = 0. Let q(t) = -2*t**3 - 8*t**2 + 3*t - 5. Give q(l).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 2*j = -4*d + 16, 0 = 5*j + 20. Suppose 5*i - 17 = -3*h, -24 = -d*h + 4*i - 8. What is the second derivative of -3*r + 3*r**4 - h*r**4 + 2*r wrt r?\nAnswer: -12*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 819208?\nAnswer: 2, 13, 7877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-4\/13)*j\/((j*j\/(j\/((j*j**(14\/5)*j)\/j))*j)\/j*j))\/((j\/(j\/(j*(j*((j*j\/(j*j**(1\/9)*j*j*j*j))\/j)\/j)\/j)))\/(j\/(j**(3\/5)*j*j))) assuming j is positive.\nAnswer: j**(-1519\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 80655 divided by -5377?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-5)*17\/(128 - 536).\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -77503 (b) 2\/17 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 62560*g**3 + 8*g**2 - 15640507*g.\nAnswer: 375360*g + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add together 46.54527 and -164.574.\nAnswer: -118.02873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:00 AM and 6:32 PM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 14, -3, 1, -2 in decreasing order.\nAnswer: 14, 1, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the first derivative of -802*i**2 + 666*i + 520. Differentiate c(k) wrt k.\nAnswer: -1604","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 47 - 99. Let i = -53 - v. Which is smaller: 3 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -23288208*c**4 + 36670438*c**2?\nAnswer: -558916992*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sddr. Give prob of picking 2 s and 1 d.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-9)\/(-9) + 3 + -1. Let j be (-102)\/(-9) - (-2)\/z. Let x be 1*(1*4 + 0). Solve -x*t = -t - j for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes after 5:25 PM?\nAnswer: 8:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 23)\/(-5) + -3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b**2 + b**2 + 3*b**3)*(0 + 0 + b)*(48*b + 2*b - 22*b).\nAnswer: 84*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0 (b) 1177 (c) -4 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2718 * 1.04.\nAnswer: -2826.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.25074 to 3 dps.\nAnswer: 0.251","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 14835783 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3*(-6)\/9)\/(((-508)\/(-2794))\/(30\/33)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 978*p + 3977 = 33317 for p.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 d, and 1 n when three letters picked without replacement from {d: 3, w: 3, n: 1, g: 3}.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 5778006218*y + 5778006287*y + 1.\nAnswer: 69*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2449 - -2533. Solve -p + 85 = q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*w - 5*w + 3*w)*(0*w + 0*w + 4*w)*(2 + 6 + 1).\nAnswer: -504*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4220439511 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 103123 (base 5) in base 13?\nAnswer: 17c2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r**2\/3 + 21775372*r\/3 + 59270853217298\/3 = 0 for r.\nAnswer: -5443843","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 71349197\/4680 - 365915\/24. Let k = l - 8\/195. Calculate the common denominator of k and (-12)\/(-8) + 230\/(-32).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18\/161 + 5527\/966. What is the nearest to 1\/2 in 1, c, -3, -1\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102.6632 rounded to the nearest ten?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 23709*v**5 + 1869*v**2 - 78036089*v.\nAnswer: 474180*v**3 + 3738","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1557667 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 194647 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1532\/273 + 13\/21. Is 7 greater than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert a57 (base 12) to base 15.\nAnswer: 6a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**4\/7 + 2226920*m**3\/7 + 309946065972*m**2\/7 - 619898812720*m\/7 + 309950519824\/7.\nAnswer: 4*(m - 1)**2*(m + 278366)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**(-1\/5)*b\/(b**5\/b)*b*b**4\/(b**4\/b*b))**(-47))**(-1\/17) assuming b is positive.\nAnswer: b**(-188\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*g + 28*g + 13*g to the form d*g + s and give d.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the third derivative of 0*w + 4*w**2 + 0 + 5\/24*w**4 + 0*w**3. Calculate o(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1810, 3469, 5128, 6787?\nAnswer: 8446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1229955 by 3.\nAnswer: -409985","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(475)*2 + -2).\nAnswer: -4 + 20*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + (-14 - 14) + 4 + -10 + 6.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 73.15365 tonnes in micrograms?\nAnswer: 73153650000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 120428422?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.105 + 0.905. What is the closest to 0.6 in 4, -4, f, 5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5*(-6 + -4)\/(-20))\/(5\/(-20))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2117 - 2117.1385. What is y rounded to two decimal places?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 25*y**2 - 2*y + 4. Let c = -109 + 106. List the prime factors of w(c).\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(720) - (5 + 0 + sqrt(720)))**2*-2 - ((sqrt(720) - sqrt(720)*1)*6 - (sqrt(720) + -2 + (sqrt(720) - 1*sqrt(720)) + sqrt(720)))**2.\nAnswer: -2934 + 96*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:16 AM and 6:40 AM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*t = -6*t. What is the closest to 2 in -3, t, -5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0185 to 3 decimal places.\nAnswer: -0.019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 + (-2)\/(-6) - 40\/(-24). Suppose 3*j - 5 = -5*q + 2*j, -10 = z*j. Suppose 515 = q*c + 203. Is c a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**2 + 12*q - 1. Let h be t(-10). Let p = 85\/4 + h. Let n = -1.2 - -1. Which is the closest to 0.2? (a) 2\/11 (b) n (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 0 = -5*v. Let m be (11\/4)\/(v\/4). Let g = -8 - m. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -371 - -371.1. What is the third biggest value in 1\/5, 0.3, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from wiisdwuiswib.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 p when four letters picked without replacement from ppppppp.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 4 + 12 + (-4 - -15).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*m - 24 = -4*v - 22*m, -3*m + 6 = 0. Put -5, v, 46, 24 in ascending order.\nAnswer: -5, v, 24, 46","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2314353195 a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**3 - 97*h**2 - 2*h + 130. What is d(97)?\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0, 5, 1\/53?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1487 + 13. Round b to the nearest 100.\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*z = a + 482, 4399*z - 4400*z + 2*a = 20 for z.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6\/(-3) - -2)\/2. Let o = 1 - h. Let g(t) = 17*t + 1. Let a be g(o). What is the highest common divisor of 162 and a?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + -6 + 7 + (3 - -11)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -59*k + 33*k - 56*k in the form z*k + p and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in twenty-seven fifths of a millimeter?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 4*h - 431 = 0, -5*h = -9*m + 4*m + 765. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 940863148?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000008577 rounded to 7 decimal places?\nAnswer: 0.0000086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -46 + (-29 + 27 - -16).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*m + 136 + 140. Calculate the remainder when 198 is divided by m.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -7*h**3 + 8*h**2 - 7*h + 6. Let u(g) = -7*g**3 + 9*g**2 - 8*g + 7. Let o(t) = -7*l(t) + 6*u(t). Let y(c) = 7*c - 34. Let z be y(5). Determine o(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (16\/200)\/((-5)\/(-475)) + -8. Suppose -2*j = j + 2*i + 59, 5*j = 4*i - 69. Which is the closest to q? (a) 5 (b) j (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p**1\/p))**(2\/29))**(-4\/7)\/((p**(-1\/2))**(-46)\/(((p\/(p\/p**1*p))\/p)\/p)**(2\/57)) assuming p is positive.\nAnswer: p**(-267401\/11571)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-38 - -14) + 18 + 785\/135.\nAnswer: -5\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-6)\/16)\/(-3))\/((-369)\/(-3444))*-6.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, b: 1, y: 2, k: 1}. What is prob of sequence yby?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1078 + -17?\nAnswer: 1061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1\/13)*x\/x**1)\/(x**1)**(4\/13) assuming x is positive.\nAnswer: x**(-5\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 586*j**2*l**2*r**2 - 2*j**2*l*r**2 + 2*j**2*r - 1436*j*l**2*r**2 + 307*j*l + 86*l*r wrt l?\nAnswer: 1172*j**2*r**2 - 2872*j*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -242167 times 0.08\nAnswer: -19373.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 2462295, -5, -4 in descending order.\nAnswer: 2462295, 2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5, -77, -215, -419, -689?\nAnswer: -1025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -879 + 21919727435.\nAnswer: 21919726556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 39 times 12072920\nAnswer: 470843880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, 1, -1535\/3, -3\/4, -5, -6 in descending order.\nAnswer: 1, 1\/3, -3\/4, -5, -6, -1535\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -122079 + 122079 - 964*n**2 to the form r*n + a*n**2 + h and give a.\nAnswer: -964","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -27, 24, 159, 420, 849, 1488, 2379, 3564?\n\"Answer: 7*v**3 + 2*v - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 116928950?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 931.89819 + 3.2.\nAnswer: 935.09819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from jiji?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 8042*r**2 - 7*r - 71*r + 78*r in the form i*r + v*r**2 + f and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 20*l - 10. Let a(q) = -23*q + 13. Let s(t) = 5*a(t) + 6*h(t). Suppose 22*g - 17*g = -20. Give s(g).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83 is divided by 16?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes after 9:58 AM?\nAnswer: 7:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 580?\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2018\/231 or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 2 p when three letters picked without replacement from {p: 4, a: 4, l: 1, x: 8, t: 2}?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1661?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 122604 (base 10) to base 14.\nAnswer: 32976","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 2\/3 (b) -11 (c) -4 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 2*r - 3. Let n be q(4). Suppose -f - 2 = -1. What is the closest to f in n, 2, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 200562191 from -17.\nAnswer: -200562208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -82775\/36 + 13811\/6. Find the common denominator of 43\/4116 and d.\nAnswer: 12348","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21830 is divided by 2181?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1306 + -1302. Let w be (-4 + 5)*(-4)\/26 + 0. What is the third smallest value in w, 0.2, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/24 of a decade?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7 and -14.3.\nAnswer: 100.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -14*a + 1. Let h(u) = -26*u + 2. What is -2*h(w) + 5*v(w)?\nAnswer: -18*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (54\/45)\/(-2 + (-12)\/(-5)). Let m be i\/(585\/(-6))*(-6 - -1). Which is the nearest to 0.1? (a) m (b) 1 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - l + 5 = 0, 3*u - 14 + 1 = -2*l. Suppose 84 = u*f - 33. Let d = -6844 - -6882. Is f != d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 207\/7*v - 3\/7*v**3 - 162\/7 - 6*v**2.\nAnswer: -3*(v - 3)*(v - 1)*(v + 18)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 4, h: 2, u: 4}. Give prob of picking 2 h.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000196510256 to 7 dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t = 3*x + 68, -18*x = -5*t - 24*x - 76 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/(-24))\/(33450\/3568)\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 5*s - 126279, 75773 = 12*s - 9*s - j. Does 20 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*t**4 + 5*t**4 - 4*t**4 + (5 - 4 + 1)*(2*t**3 - 3*t + 3*t)*(-4*t + t + 2*t).\nAnswer: -6*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z + 0*z + 0*z)*(z**3 - 4*z**3 + 2*z**3).\nAnswer: z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes after 10:52 PM?\nAnswer: 11:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -28.7 at least 0.75987?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 24630912193 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 68927 less than -1?\nAnswer: -68928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -100*z - 286170. Let i be f(0). What is i rounded to the nearest one thousand?\nAnswer: -286000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 288?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.1, 20, 2\/9, -5.4, 0.9?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.853 take away 2?\nAnswer: 21.853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39 - 3224*c + 9680*c - 3228*c - 3223*c + 16*c**2.\nAnswer: 16*c**2 + 5*c - 39","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 19750 and 474?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4174 - 20707146.\nAnswer: -20702972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2728?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14*(247\/(-57))\/(14\/3).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3707761 = 163*a + 3726506 for a.\nAnswer: -115","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1956 and -57.\nAnswer: -2013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/12 and (1 - 6)\/((-3)\/(42\/4)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/(k**(-43)\/k)*k**15 assuming k is positive.\nAnswer: k**60","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -8, -1\/4, -19?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (275\/30 - 15\/9)*4. Let a be 2444\/(-18) - p\/135. Which is smaller: a or -137?\nAnswer: -137","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4\/7 + (1000\/14 - 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5493780?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 119\/100944 and 121\/708.\nAnswer: 5955696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i + 2*x - 5, 2*x = 4*i + 334 - 374. Let l = -4 + 11. Differentiate i*f + l + 2 - 12 with respect to f.\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g - g = -5*g. Solve 915*m - 902*m - 26 = g for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**2 + 4*b - 9. Let z(x) = -x**2 - 4*x + 8. Let q(o) = -5*v(o) - 6*z(o). Suppose 158*p - 947 = 1. What is the least common multiple of q(-6) and p?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 86 - 85.7. Let x = -15 + 14. Which is the nearest to x? (a) -4 (b) -0.7 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -5*o, 2*o + 2 + 11 = 5*c. Let x be (-2)\/5 - (-34)\/10. What is the highest common factor of x and c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-35)*535\/(-214)?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -4*j. Let o(s) be the first derivative of -2 + 0*s**3 + j*s + s**2 + 1\/4*s**4. Find the second derivative of o(c) wrt c.\nAnswer: 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 3*i = 2*i - 17, -3*j + 4*i = 25. Let o be (0\/1)\/(1 - 2). Sort j, 4, o in decreasing order.\nAnswer: 4, o, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14 + 14.13. Let l = -1.67 - j. Which is the third biggest value? (a) 3 (b) 0 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3257.939 meters?\nAnswer: 3257939","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 - 6\/9*-3. Let t be ((-15)\/x - 2)*-4. Suppose t = y - 56. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 154198 to the nearest integer?\nAnswer: 393","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve k = 4*l + 54 - 31, -l + 10 = 5*k for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 36\/(-50)*(-32025)\/854?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 39174870 and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 39516 + -24961. List the prime factors of a.\nAnswer: 5, 41, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 52, 427, 1428, 3367, 6556, 11307, 17932?\n\"Answer: 52*w**3 + w**2 + 8*w - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5 + 1922 + 2 + 0 + -1. What is the remainder when 92 is divided by 4\/(-30) - b\/(-60)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**2 - j + 1. Let s(f) = 12*f + 5. Let c be s(2). Let m(b) = 37*b**2 + c*b**2 - 75*b**2 - 6 + 6*b. Give -m(r) - 6*v(r).\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 8*q - 15 = 0, 15 = -4*l + 3*q. What is the closest to 29 in l, 3\/4, 0.1?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5501*l = 5502*l - 8953. Is l a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes after 2:48 AM?\nAnswer: 8:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*h = 51*h + 20 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-4))**(-25\/3))**34 assuming a is positive.\nAnswer: a**(3400\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (-33 + -8 + 6).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 755663 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1111.6 - -7385. Round m to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**3 + 127*i**2 - 2*i - 114. What is the smallest common multiple of 1204 and q(-127)?\nAnswer: 6020","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 203573997?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes after 7:57 PM?\nAnswer: 1:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -10294, -10331, -10368, -10405, -10442?\n\"Answer: -37*f - 10257","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(114) - (sqrt(114)*2*1 + sqrt(114)))\/((sqrt(48)*2)\/sqrt(8)))**2 + -5)*1.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -5, 0.5, 8.4, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1559, -6289, -14583, -26777, -43207, -64209, -90119, -121273?\nAnswer: -158007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 180 + 7a2?\nAnswer: 952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -5*d**2 + 3. Let y(w) be the second derivative of -w**4\/2 + 2*w**2 + 6*w. Let r(c) = -4*o(c) + 3*y(c). Let z(p) = -p + 5*p - 6*p. What is r(z(x))?\nAnswer: 8*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 9 = 0, -3*y + 18 = -0*x - 4*x for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 5*p = 28, p + 24 = 3*u + 4*p. Let c = u - -3. Calculate the lowest common multiple of 26 and c.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 5*m. Let x(q) be the third derivative of 5*q**4\/24 - 4*q**2. Calculate x(z(v)).\nAnswer: 25*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*t - 4*s - 4 + 2, -2*t + 5*s + 7 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 + -10322313?\nAnswer: -10322322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 52614, 210472, 473576, 841926, 1315522, 1894364, 2578452?\n\"Answer: 52623*g**2 - 11*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8449714 divided by -2.\nAnswer: 4224857","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, t: 1, s: 9, x: 5}. What is prob of sequence txr?\nAnswer: 5\/1632","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 164381882 a multiple of 935?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(187) + -2*sqrt(187)*-4 - (sqrt(187) - -1*sqrt(187)*-5))\/((-4*sqrt(77))\/sqrt(7)*-5))**2.\nAnswer: 2873\/400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4131 is divided by 1784.\nAnswer: 563","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1743 = 127*q + 346 for q.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 - 1 - -3) + -10. What is the remainder when (-108)\/(-10) - 2\/u is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17661 is divided by 376?\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1953 divided by 63.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -3*s + 1 + 2*s - 4*s - s**2. Let n be q(-3). Solve n = 2*p - 3 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 72960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 4 = w. Suppose -2*h = w*h + 5*q - 37210, 3*h + 4*q = 27908. What is h rounded to the nearest one thousand?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 115026.1 + 0.\nAnswer: 115026.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 d, and 2 q when four letters picked without replacement from {z: 1, d: 2, q: 2, h: 1}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -150, -515, -1262, -2505, -4358, -6935, -10350?\nAnswer: -14717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 + 12020022021220122?\nAnswer: 12020022021220110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 352380 = -p - 82457, 4*y = 4*p + 869680. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14882 + -15356. Is q != -474?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 153*v - 451. Determine d(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.16 and -95079347189.\nAnswer: -95079347188.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 32929 times 3116.1\nAnswer: 102610056.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 3*g - 0*v + v, 0 = 2*g + 3*v + 15. What is the closest to -0.3 in 5, g, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*i + 5*i - 5*i)*(0*i - 6*i + 4*i) - 2*i + 2*i**2 + 2*i)*(1074 - 19*i - 1074).\nAnswer: -114*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 26094471?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.17 and -3133?\nAnswer: -532.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 8 (base 15) to base 3\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3.4439 and 2519?\nAnswer: -8675.1841","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5967771 or 2\/9?\nAnswer: 5967771","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d = -17*d - 36. Let n be (12\/14)\/((d\/(-14))\/2). What is the greatest common divisor of 48 and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -8 + 2 + 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 3 = 2*w, 3*w + 34 = -5*h + 39 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 69 + -67. Suppose -152 = -4*u + a*j, -4*j + 39 = -3*u + 143. What is the remainder when 110 is divided by u?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(15)*2*2 - 6*2*sqrt(15))\/((sqrt(48)\/sqrt(2))\/(sqrt(2) - sqrt(2)*-1*2)))**2.\nAnswer: 716","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 10*v**2 - 7*v + 7. Let k be w(1). Solve k*q - 2 = 8*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(176) - sqrt(176)) + 2)**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**2 + 7*s + 3. Let m be d(-7). Let o = m + 4. Suppose -3*w + o*w = 60. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 2)*(3 - 2 + 4)*(0*t**2 - 2*t**4 + 0*t**2) + (0 + 2*t + 0)*(5*t**2 + t**3 - 5*t**2) - t**4 + t**4 + t**4.\nAnswer: -17*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 64 (b) 5462 (c) -40\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4564 or 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 + 228\/14 - 72\/154?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56256 is divided by 18748.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1561?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 (base 5) in base 2?\nAnswer: 11011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -l**6 + 7879018*l**4 + 32695802*l**2?\nAnswer: -120*l**3 + 189096432*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4 + (-44)\/(-1))*4 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 447227?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 8976 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 7, g: 1, a: 2, k: 1, j: 2, d: 1}. Give prob of sequence dgak.\nAnswer: 1\/12012","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 24030 or 24048?\nAnswer: 24030","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.1939 and 2.\nAnswer: 2.1939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - g + 6 = 0. Suppose 2*t + 3*m - 14 = 0, -24 = -2*t - 38*m + 40*m. Suppose 2*j = 3*s + 13, 15*s - 20*s - 3*j + t = 0. Which is bigger: s or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = 4*a + 3*w, 6*a - a - 55 = 4*w. Let o = a - -6. Suppose -f - 4*u = -7, -u - u + o = 5*f. Calculate the remainder when 14 is divided by f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in two sevenths of a week?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 10 = 2*c, 2*r = -r + c - 5. Let d = 2 - r. Suppose 3*q - 8 = u, -d*q = u - 7 - 5. Solve f = u*f + 3 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3444 + 3450. Let p(l) = l**2 + 5*l - 4. Let h be p(-5). Let a be v*2\/h*-5. Calculate the greatest common factor of a and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) -97 (b) -280 (c) 851\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55 = 18*r + 17 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 268*w + 11703972 = 352*w. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -20 by 24.\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(-30)*s)\/s)\/s**(-3\/2)*s*s*s**19\/s*s*s\/s**38)**(22\/3) assuming s is positive.\nAnswer: s**(-979\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 595710522, 1191421048, 1787131576, 2382842106, 2978552638, 3574263172?\n\"Answer: r**2 + 595710523*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:23 PM and 5:07 AM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ar when two letters picked without replacement from {a: 2, r: 6}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*j**2 + 20*j**3 + 40*j**2 - 17*j**2.\nAnswer: 20*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(27) + sqrt(3) + (-1*sqrt(363))**2 + -3 + 0 + sqrt(75) + -1.\nAnswer: 9*sqrt(3) + 360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 121 + -149. Let n = m + 28.00073. What is n rounded to four decimal places?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 + -16. What is the closest to -0.2 in h, 3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(13) - sqrt(13)*-2) + sqrt(13) - sqrt(13))*-6)**2*-3.\nAnswer: -12636","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -0.06, 0.05, -148 in ascending order.\nAnswer: -148, -0.06, 0.05, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-152)\/6)\/(((-6)\/10)\/(12663\/14070))?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**3 - 6*a**2 - 17*a - 11. Give q(8).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 273241333 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(572)\/((sqrt(77) - (-1*sqrt(77) - sqrt(77)))\/sqrt(7)))\/((sqrt(144) - (2*sqrt(144) - sqrt(144))) + sqrt(144) + (sqrt(12) - -2*sqrt(12))\/sqrt(3)).\nAnswer: sqrt(13)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -2*y**3 - 18*y**2 + 4*y + 39. Let l be b(-9). Suppose -l*s + 736 = -v + 2*v, -494 = -2*s + v. Is 97 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w. Let p(b) = -134*b. What is p(d(c))?\nAnswer: 134*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 4*y, -2*r - 3*r + 2*y + 85 = 0. What are the prime factors of r?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -379*k**3 + 4*k**2 + 2*k. Is u(-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 218101 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2163*f = -64*f - 73491 for f.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 9*h + 33\/4*h**2 + 3\/4*h**3.\nAnswer: 3*h*(h - 1)*(h + 12)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*n**3 - 4*n**3 + 22*n**3.\nAnswer: 13*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mis when three letters picked without replacement from oeemssninsmn?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 2*v**2 + 4*v + 3. Let i be (-1 - -2)*(3 + -1). Let a(l) = -22*l**2 - 6 + 2 + 21*l**i - l + 3. Let c = -1 - 1. Determine c*d(f) - 6*a(f).\nAnswer: 2*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes before 5:27 PM?\nAnswer: 4:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 2*o + 6. Let x = 8 - o. Suppose -x*r = -r. Solve r = -3*g - 2*j, -3*g - 4*j = -0*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*o**3 + 11*o**3 - 74*o**3.\nAnswer: -104*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6851 is divided by 2277?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 42 = -23. Let w = 17 - b. Solve r = w*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3.2 = -0.02022?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -7*t + 2. Let c(k) = 120*k - 35. Let p(m) = -35*b(m) - 2*c(m). Let d(q) be the first derivative of q**2 - 3. Calculate d(p(n)).\nAnswer: 10*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5592?\nAnswer: 2, 3, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 263*j**2 + 9*j - 24. Let k(q) = -262*q**2 - 10*q + 26. Calculate 12*a(u) + 11*k(u).\nAnswer: 274*u**2 - 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u**4 + 3892*u**3 + 213156*u**2 + 802188*u + 592920 = 0 for u.\nAnswer: -915, -54, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g + 12, -4483 = -7*p + 2*p + 4*g. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 932191453.25 and -0.264.\nAnswer: 932191452.986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -4033 (base 5) in base 11?\nAnswer: -431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.2 - 0.2. Let s = -1665 - -1684. Which is the nearest to v? (a) 1\/3 (b) 0.3 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange g**3 - g**2 + g**2 + (-88*g - 138728 + 138728)*(0*g**2 - 2*g**2 + 4*g**2) to y + u*g**3 + h*g + r*g**2 and give u.\nAnswer: -175","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(2\/15))**29\/(f**(-2))**3 assuming f is positive.\nAnswer: f**(148\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*j + 8 = 78. Calculate the highest common divisor of 31 and j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 2*b + 0 - 5 + 2. Let n be 2\/2 - (-7 - -5). Calculate the remainder when g(n) is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -8804, -17367, -25930, -34493, -43056, -51619?\n\"Answer: -8563*v - 241","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153)\/((sqrt(18)*1)\/sqrt(2)))**2.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**3\/4 + 39*r**2\/4 + 138*r + 231.\nAnswer: -3*(r - 22)*(r + 2)*(r + 7)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 138, 191, 152, 27, -178, -457, -804, -1213?\nAnswer: -1678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -2\/11 (b) 24 (c) 4\/3 (d) -1\/34 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-234)\/702*((-1 - 107)\/(-12))\/((-1)\/(-7)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the second derivative of 0*g**6 + 2*g + 0*g**2 + 3\/56*g**8 + 0 + 0*g**3 + 0*g**7 + 1\/12*g**4 + 0*g**5. Find the third derivative of a(u) wrt u.\nAnswer: 360*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.71 + -0.69. Let l = 11 + -7. Which is the third smallest value? (a) 5 (b) 1 (c) w (d) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 2 + 4 = 0. Suppose -j*r - 2 = -8. Solve -r - 1 - 7*x**3 + x**3 - 5 + 14*x**2 = 0.\nAnswer: -2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (99\/110)\/(21\/28)*(-7)\/3?\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11546 = 3*u - 4*j + 74309, 0 = -j - 5. Let g = 18789 + u. Let b = 108164 - g. Round b to the nearest 10000.\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 113751\/108 + (-1)\/((-12)\/9). Calculate the greatest common divisor of k and 136.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u - 2. Let x be j(-6). Suppose -3*d + 185 = 4*z, -146 = -3*z + x*d + d. Suppose z = 5*b + 3*h, 5*h + 4 = 4*b - 4. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**4\/3 - 16*g**3 + 388*g**2\/3 - 384*g + 270.\nAnswer: 2*(g - 9)**2*(g - 5)*(g - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -174 + 198. What is the remainder when 50 is divided by i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 4*u - 2*u - 8*u)*(1 - 5 + 0).\nAnswer: 24*u - 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -231 times -0.3414\nAnswer: 78.8634","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*p + 5*k = -17*p - 7, p - 16 = 4*k for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-780)\/26 - (23 + -49). Suppose 0 = -w + 1, -3*j + 16 = 4*w. Which is the closest to -2\/5? (a) j (b) 0.1 (c) 0.01 (d) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*n - 64*n + 114 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2 - 14*j - 60.\nAnswer: 2*(j - 10)*(j + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -67, -94, -139, -202, -283?\n\"Answer: -9*c**2 - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d + 8. Suppose 19 = 3*n - 4*k - 60, -5*n - k = -147. Let v = 23 - n. Give h(v).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-180)\/(-15) + -4*(-3)\/(-6)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and -41?\nAnswer: 12.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2516292071 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -13*t**2 - 7*t - 7. Let q(f) be the third derivative of -f**5\/5 - f**4\/4 - f**3 + f**2. Let a(l) = -7*q(l) + 6*s(l). Let w(z) = z. Calculate a(w(o)).\nAnswer: 6*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 4*i**2 - 42*i + 22. Let h be p(10). Suppose -3*t + 17 = 2. Solve h*c - t = 5 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21110211 (base 3) in base 8?\nAnswer: 12511","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4272 + 4271. Which is the third biggest value? (a) -0.1 (b) -9 (c) o (d) 1 (e) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3.7 * -437\nAnswer: -1616.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 34386 - 8826. What are the prime factors of z?\nAnswer: 2, 3, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-126)\/(-8))\/((-4)\/(-16)). Let i = b + -120. Let v = -35 - i. Is v a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-26)\/12 - -2)*4. Suppose -2 - 22 = -6*r. What is the nearest to c in 0.2, r, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:32 PM and 12:53 AM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -97006 - -5238701\/54. Let g = z + 64895\/27. Let j = g + -2366. What is the common denominator of j and 44\/9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ezzxzze. What is prob of sequence zze?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 - 0\/2) + 5. Suppose -9*p + 432 = -m*p. What is the greatest common factor of 16 and p?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2) + (sqrt(2) - (sqrt(2) - (-2 + (-3 + sqrt(2) - sqrt(2)))))**2 + 0 + 0.\nAnswer: sqrt(2) + 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**3 - 6*a**2 - 7*a - 5. Let h be j(-5). Suppose h*m = 2*m + 333. Suppose 2*v = 3*v - m. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the first derivative of -s**4\/20 + 3*s**2\/10 + 2*s\/5 - 27. Determine u so that p(u) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/11 and -61\/2121786.\nAnswer: 23339646","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -75\/1888 and -7\/11328.\nAnswer: 11328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 196540?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 360, 487, 614?\n\"Answer: 127*d + 233","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1288034887.999999256 + -1288034873. Let b = 15 - c. What is b rounded to 7 dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let l = 183 + -65. Suppose 5*r - 138 - 92 = -5*a, -2*a = -3*r + l. What is the smallest common multiple of r and 8?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**3 - 11*o**2 + o - 9. Let u be ((-66)\/(-9))\/(2\/3). Let r be p(u). Let j be (r\/12)\/(11\/165). Is 3 not equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-two fifths of a litre?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 3, 2, 0.3, -1\/2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**2 - 211045296*d.\nAnswer: 4*d*(d - 52761324)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 6108694091 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (18\/(-21))\/(0 - (-2)\/(-14)). Suppose 2*n = -g + 196. Calculate the greatest common factor of n and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -272, -554, -862, -1208, -1604, -2062, -2594?\nAnswer: -3212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2182*a + 2284*a - 4467*a.\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 11, r: 9}. What is prob of sequence yr?\nAnswer: 99\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4 and 92?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 51 + -51. Suppose -1 = -c - g*s + s, -4*c = -3*s - 1. Put c, 0.4, -3\/2 in descending order.\nAnswer: 0.4, -3\/2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -109 + 122. Suppose -15*q + t*q = -1060. What is the derivative of -5 - 525*o + q*o + 10 wrt o?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**2 + 14*f + 5. Let n be 28\/70 + (-72)\/5. Let s be o(n). Solve r = s*k + 10, 3*k + r + 24 - 10 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u**(-8)*u)\/u)\/(u*u**19*u*u))\/(u\/(u*u**(1\/8)))**(-4\/15))**(-17\/2) assuming u is positive.\nAnswer: u**(15317\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 20*s**4 + 4*s**2 - 20439*s**3 + 1 - 20446*s**3 + 40886*s**3 as j + u*s**4 + p*s**3 + g*s + b*s**2 and give u.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 + 928891b0?\nAnswer: 928891a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 138621, 138611, 138595, 138573, 138545?\nAnswer: 138511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-5 + 7)\/((-20)\/(-50)). Let y(s) be the third derivative of 7*s**2 + 1\/6*s**4 + 0*s**3 + 0*s + 0 + 1\/60*s**f. Find the second derivative of y(n) wrt n.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6 - -4)*13\/(-2). Let j = o + -9. What is the smallest common multiple of j and 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**3 - 41*t**2 - 76*t + 71. Let j be m(-39). Let d = -5 + 5. Let k(i) = d*i - 1 + 7 - 3*i. Let n(b) = 3*b - 7. Give j*k(s) - 6*n(s).\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, -74855, -107 in increasing order.\nAnswer: -74855, -107, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-15))\/(42\/105).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**2 - 6*z + 4. Suppose -3*t + 3 = -15. Let s be d(t). Solve -3*n - 2 = s for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9.5 + 9. What is the fourth smallest value in -1\/3, -0.4, y, -9?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2357.18288 - 0.11712. Let w = -2480 - y. Let k = w - -123. Which is the nearest to -0.1? (a) -1\/7 (b) k (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 73*b**4 + 2*b + 255 wrt b.\nAnswer: 876*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 6 + n - 2*n)*(-28 - 25 - 54) to j + z*n and give z.\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -4, -2\/9, 0, -6307, 3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.6853797 millennia?\nAnswer: 685.3797","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14178847 to the nearest integer?\nAnswer: 3765","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 26167675393 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -143*n + 467*n + 165*n as r + k*n and give k.\nAnswer: 489","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/2399800 and 17\/2159820.\nAnswer: 21598200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -4*x**2. Let n(s) = -s**2. Let h(d) = -2*n(d) + o(d). Let g(u) = -3*u**2. Determine g(h(a)).\nAnswer: -12*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 257754011 a multiple of 329?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + 3. Let o be (2\/2)\/1 + x. Suppose 4*c + 51 - 403 = -4*w, -o*w = 3*c - 351. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-26)\/(-168077))\/(117\/63). Is 1 > w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-42)\/(-35)*105\/(-56)\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 343*t + 3. Let v(o) = 1026*o + 8. Determine 2*v(k) - 7*z(k).\nAnswer: -349*k - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3 and 43.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3340?\nAnswer: 2, 5, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 16 = -0*x - 2*x, -5*z - 21 = -3*x. Suppose -x = -5*v + 73. Solve 3*i - 3*g - v = 0, 3*g + 6 = 3 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 484284?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -86*a + 63*a - 161 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/99 and -113\/36?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**7*y*((y*y**(1\/5))\/y)\/y*y)\/((y**0\/y)\/(y\/y**(2\/19))))**(-9\/7))**(10\/11) assuming y is positive.\nAnswer: y**(-2466\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8.73 * 0.03.\nAnswer: 0.2619","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 7) to base 8.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 11, d: 5}. Give prob of picking 1 d and 2 a.\nAnswer: 55\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/158 and 4 - (40\/32)\/(3\/(-2)).\nAnswer: 474","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 79*r - 217. Calculate the remainder when n(7) is divided by 19.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-180)\/(-42))\/((-1)\/(-7)). Let n = 152\/5 - l. Let h be 6*(-1)\/(-4)*2. What is the nearest to n in 10, -3, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2512984599 + -148.\nAnswer: -2512984747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/198 and -64\/304623.\nAnswer: 609246","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 776*x + 1862 = 369*x + 309*x for x.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8966332cm in meters?\nAnswer: 0.008966332","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 6 (b) 1\/368 (c) -0.2 (d) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4500*k**6 - 279*k**2 - 2515*k**2 - 621*k**6 wrt k.\nAnswer: -614520*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -4*b**2 + 303*b. Let t(p) = -p**2 + 76*p. Determine -2*n(v) + 9*t(v).\nAnswer: -v**2 + 78*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/1147 smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 34920?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 31*m**2. Let w = -110 - -111. Let j(c) = 6 + 3*c**2 - 5 - 2 + w. What is j(d(x))?\nAnswer: 2883*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3*2)\/(215\/(-43))?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2.7 and 469.\nAnswer: 471.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 - 14. Let f = 11.00000064 + w. What is f rounded to 7 decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((-4 + 2*sqrt(68) - -4*(sqrt(68) + 0))**2 - -6*(-5 + 0 + sqrt(68))) + 4.\nAnswer: -84*sqrt(17) + 2441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-13)*(28 + -31). Is w equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -3\/11, -1, -5, -0.19?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -4813209 + -81.9\nAnswer: -4813290.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 325*o**2. Let c(a) be the first derivative of -a**2\/2 + 128. Determine c(t(i)).\nAnswer: -325*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -47*b**2 - 2*b**3 + 21 + 33 - 19 - 22*b. Does 2 divide z(-23)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7951709 + 2085948. Let u = -2730232425\/272 + t. Let f = u + -618\/17. Find the common denominator of f and 59\/8.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**2 - 43*d - 42. Let u be n(-42). Suppose -4*o - 31499 = -3*g, u = -14*g + 10*g - o + 41967. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the third derivative of -386*l**6\/15 - l**5\/12 - 70*l**3\/3 - 1171*l**2 + l. What is the third derivative of t(h) wrt h?\nAnswer: -18528","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11 and 1782.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 2*c + 50 = 0, -4*p + 3*c = -7*p + 30. Calculate the greatest common divisor of p and 70.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1662*m - 3255 = -1569*m for m.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the third derivative of 0*m + 1\/8*m**4 - 1\/6*m**3 + 0 - 3*m**2. What are the prime factors of f(4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*f + 4*f - f)*(-4 + 60*f**2 + 4 + (-2*f - 2*f + 5*f)*(-f + 2 - 2) + 2*f**2 + 4*f**2 - 4*f**2) as b*f**3 + t*f + w*f**2 + r and give b.\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 687*-0.2\nAnswer: -137.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -421 + 232. Let o be 4\/6*w\/336. Suppose -5*v - 4*u + 4 = 0, -2*v + 36 = 3*v - 4*u. Which is the third biggest value? (a) o (b) v (c) -5 (d) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - -1. Let i = f + 1. Let t(l) = l + 5. Let x be t(-6). Which is the nearest to 0.1? (a) -0.1 (b) x (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -2*f**2 + 2*f - 1. Let z be a(0). What is the closest to 1\/3 in -3\/5, z, 16?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24 and 2910?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 478.2 + -476. Which is the nearest to -1\/4? (a) -3 (b) 4 (c) i (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 257*h**2 - 6*h + 333. Is f(-14) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14.6 - -13.1. What is the smallest value in d, -2\/13, 9?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j + i + 1 + 3, j + 3*i = -12. Let z = 2 + j. Let q(t) = -z*t - t**2 - 11*t**2 + 8*t**2 - 2*t**3 - 4. Give q(-3).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 234287835?\nAnswer: 3, 5, 83, 227, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 694 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15220 - -118.\nAnswer: -15102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-27)\/(-12))\/((-11847)\/1436).\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 25549, 25548, 25547, 25546?\n\"Answer: -b + 25550","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 325 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10224?\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the second derivative of -5\/2*b**5 + 0*b**4 + 57\/2*b**2 + 0*b**3 - 42*b + 0. Find the first derivative of j(t) wrt t.\nAnswer: -150*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1791709837295.4 from 0.\nAnswer: 1791709837295.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**2 - 9*c - 8. Give v(-8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -4233*c - 5 + 5. Let v be i(-1). Suppose -4*j + v = 293. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:16 AM and 7:54 AM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(2299) + 3.\nAnswer: 3 + 11*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 936 divided by -6?\nAnswer: -156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16406?\nAnswer: 2, 13, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**2 - 19*u - 2. Determine y(-19).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 2\/9 (c) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 226*-3.\nAnswer: -678","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:24 PM and 8:26 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 21 and 49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 553 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -936*k**3 - k**2 - k + 4. Let d be v(-2). Suppose 2497 = a + 7*b - 9*b, -3*a + d = -5*b. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.2 - 2. Let x(l) = 29*l + 117. Let s be x(-4). Is j greater than or equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 5*v**5\/2 - 15*v**3\/2 - 5*v**2 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/b**(1\/19)*b))**(13\/7) assuming b is positive.\nAnswer: b**(-234\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 3*t + 66. Let z be i(12). Suppose 5*g + 16*p - z = 12*p, -4*g = -p - 69. What is the least common multiple of 250 and g?\nAnswer: 2250","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:37 AM and 9:07 AM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 12*l**2 + l. Let i(c) = c - 25526. Give i(g(v)).\nAnswer: 12*v**2 + v - 25526","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 l when three letters picked without replacement from {n: 2, l: 7}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 187*d**3 - d**2 - d + 2. Let s(z) be the first derivative of z**2\/2 + 3*z + 42. Let w be s(-2). What are the prime factors of m(w)?\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -3\/849698?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -2*a**5 - 42*a**4 - 130*a**3 + 138*a**2 + 612*a = 0.\nAnswer: -17, -3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((756\/(-9702))\/(126\/(-44)))\/(2\/(-3)).\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19962893 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -77 + 73 + (7 - 0 - 8) + 100.\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y - 6 - 14. Suppose 0 = -5*c + 3*m + 4, -y = -2*m - 3*m. Determine o, given that -3*o + c*o + 6 + 3*o**2 - 9*o - 5*o + 6*o**3 = 0.\nAnswer: -2, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -26795 - -134795. Round o to the nearest ten thousand.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(6\/13)\/(y*y**(-18)*y*y))\/(y**(-1\/5))**(-47))**(2\/89) assuming y is positive.\nAnswer: y**(788\/5785)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-14 + (0 - -1))*1. Let z = a + 3. Let i be (-4 - -1)\/(3\/z). What is the highest common factor of 10 and i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 8*n = -20 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/213 smaller than 255?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6647372.\nAnswer: 2, 613, 2711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**3 - 10*q**2 - 6*q - 7. Calculate y(-9).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/315)\/((-46)\/69)?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9135 to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -129031\/180 + 3596\/5. What is the common denominator of -91\/144 and x?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 14404634?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 200021 (base 3) to base 13.\nAnswer: 2bc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -45\/182 and -1\/154?\nAnswer: 2002","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p + 5*f + 139 + 80, 3*p - f = 231. Let q = p - -22. Calculate the greatest common divisor of q and 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 7*g + 3*r = 37, -4*g - 4*r - 4 = 0. Let b = 3348 - 3356. Sort g, b, 6 in increasing order.\nAnswer: b, g, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 266098*c - 420. Let d(g) = -31306*g + 50. Let v(s) = -5*b(s) - 42*d(s). Let x(z) = z**2. Give v(x(i)).\nAnswer: -15638*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 108 divide 751186?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -196 - -197 - ((-3)\/(-3) - -5)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -263*h. Let l(x) = 12*x. Determine l(u(v)).\nAnswer: -3156*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 146532283.\nAnswer: 67, 2187049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.25 - 0.55. Let w be (15\/(-10))\/((-90)\/12 - -6)*-11. What is the nearest to w in 0, y, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 - (13 - 1 - ((4 - 3) + 4)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -2*i**2 - 9*i + 3. Let d(a) = 4*a**2 + 17*a - 5. Calculate 6*d(p) + 10*t(p).\nAnswer: 4*p**2 + 12*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 2*c**2 - 24*c - 56 = 0?\nAnswer: -2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1284)\/(-1) + -2 + -3. Suppose 0 = -4*q - 3 + 7, -x = -5*c + q. What is the hundreds digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-5 + (sqrt(76) + 1 - sqrt(76)) + 2 + 1*sqrt(76)) + 5 + sqrt(76)*-3 + 2 + 3)**2.\nAnswer: -792*sqrt(19) + 6640","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-five eighths of a litre?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -63, -3\/4, 5?\nAnswer: -63","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.69141 and 6454?\nAnswer: 6453.30859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (((-110)\/(-396))\/(-1))\/((-20)\/12)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96173 is divided by 60.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 9 = 5*m - 4*m, 5*f = -2*m + 7. Let a(c) = c + 2. Let i be (-2)\/7 - (-19)\/(-7). Let k(y) = 1. Calculate i*a(g) + m*k(g).\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the second derivative of -3*x**3 - x - 1\/12*x**4 - 21\/2*x**2 + 0. List the prime factors of u(-11).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**3 - 4*f**2 - 6*f - 42. Calculate r(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 66292 to the power of 1\/2, to the nearest integer?\nAnswer: 257","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2209000244 to the power of 1\/7, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*o - 5*s, 4*o - s = 3 + 5. Let p be (o - 2)*-1 + 20. Suppose 0 = 4*z - 0*z - p. Solve 0*l - 15 = -z*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*h**2 - 747*h + 1497*h + 28*h**3 - 752*h as k*h + p + g*h**2 + m*h**3 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2318680.\nAnswer: 2, 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 n when three letters picked without replacement from {d: 3, n: 9}?\nAnswer: 27\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**3 + 11*c**2 - 9*c - 1. Let m be b(10). Let l(a) = m*a**3 + 13*a - 6*a**3 + 9*a**2 - 4*a**3 + 9. What are the prime factors of l(10)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2944425374.\nAnswer: 2, 11, 12167047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 353061387?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b + 52 - 10 = 0. Calculate the highest common factor of b and 91.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79989372?\nAnswer: 2, 3, 179, 12413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5067855 or 5067854?\nAnswer: 5067855","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14 - -14. Suppose d = 3*y + 11 - 14. Is y != 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 p when two letters picked without replacement from {s: 2, p: 9}?\nAnswer: 18\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 2569 = 2498. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 380648.5 millilitres?\nAnswer: 380.6485","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 60758?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*z + 1 + z**2 + 2*z**2 + 2*z as v + q*z + i*z**2 and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, t: 3, l: 4, p: 1, a: 2, m: 1}. What is prob of picking 1 t, 1 p, and 1 l?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -181918 + 181918 - 5*f.\nAnswer: -5*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.8 + -13.8. Let y be 12\/(-25) - 0 - 25\/(11875\/(-38)). Which is the nearest to 3\/4? (a) k (b) -4 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 1 c when three letters picked without replacement from lclcllcllc?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 16926, 31427, 45928, 60429?\n\"Answer: 14501*w + 2425","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(63)\/(3*sqrt(9)) - sqrt(7)) + -1 + sqrt(1008) + sqrt(7).\nAnswer: -1 + 37*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from raaruataaauuuaa. Give prob of sequence taar.\nAnswer: 2\/585","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -105 divided by -21.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**3 - 7*o**2 + 20*o + 87. Determine l(9).\nAnswer: 429","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 111860?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15397, -14605, -13281, -11419, -9013, -6057, -2545, 1529?\nAnswer: 6171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.4 + -2.24. Let i = k - 0.54. What is i rounded to 1 dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**1\/t**(-2)*t**(5\/4)\/(t**(2\/7)\/t))**36 assuming t is positive.\nAnswer: t**(1251\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 22 - 21.98. Let i = 0.28 + 0.04. Let w = -0.52 + i. Which is the smallest value? (a) 0.5 (b) 0 (c) g (d) w\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1341, 1342, 1343, 1344?\nAnswer: 1345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -14*u - 1830 + 1886 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -1. Let y(v) = 950*v + 5. Let t(g) = 4*l(g) - y(g). Is t(-19) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 354237.17 + -0.4562.\nAnswer: 354236.7138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -11*c - 192. Let f(j) = 73*j + 1153. Give 6*f(k) + 39*t(k).\nAnswer: 9*k - 570","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the second derivative of -s**5\/20 + 7*s**4\/12 - s**3\/2 + s**2 + 4*s. What are the prime factors of d(6)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(38)\/((sqrt(4)\/sqrt(2) - sqrt(2)) + sqrt(2)) - (1 + sqrt(76))*5.\nAnswer: -12*sqrt(19) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.7, -38, -21, 4\/29?\nAnswer: 4\/29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -2*b - 24, -2*y - 5*b = -90. Let x = 315 - y. Is x a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 25 = 4*l + l, -5*l + 4*z = -24. Let u = 40 + -17. Suppose l = -q + u. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 0 - 2 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in 0.051, -5, 41, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2*1*11\/(-2). Suppose 2*n - 85 = 3*q, -51 = -5*n - 3*q + 172. Calculate the greatest common divisor of n and p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 163\/272 - -78\/17. Let s = -9341\/524 + 10\/131. Calculate the common denominator of u and s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*g + 264 = 22*g for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 51*d**2. Let c(f) = 2*f**3 + 1. Let y be c(1). Let q(a) = y*a**2 - 6*a**2 + 2*a**2. Determine q(r(z)).\nAnswer: -2601*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the first derivative of c**6\/300 - c**4\/60 - 2*c**2 + 3. Let b(p) be the second derivative of m(p). Factor b(d).\nAnswer: 2*d*(d - 1)*(d + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 273a (base 14) to base 13\nAnswer: 31b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 2*b**2 + 2. Let z be j(1). Suppose 0 = -2*f - z*v + 254, 4*f - 3*v + 5*v = 514. What are the prime factors of f?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y + y**2 - 2*y)*(2*y - 2*y + y) - 9*y**3 - 37*y + 37*y + (-2*y**2 - y + y)*(0*y + 0*y + y + (1 + 0 - 3)*(1 - 1 + 2*y) + 3*y + 0*y - y).\nAnswer: -6*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-19 + 8)*(-2)\/(-2) + 4. Let n(x) = x**2 + 6*x - 8. Calculate n(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -291 - -290.9. What is the nearest to 0.1 in v, -4, 9?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {i: 1, m: 2, j: 1, w: 1, x: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -0*y + 2*y - 8, -3*y + 6 = x. Suppose -1 = 3*s - w, 2*s + 5*w = -2*s + 5. Calculate the remainder when 7 is divided by s + (y - -4) + -3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/339, -1, -21.2, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*j**2 + 130 - 66 - 64 to h*j**2 + q + s*j and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 6*n + 3300000. What is n rounded to the nearest one hundred thousand?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -85239133 + 85239662.000067. Let v = l - 529. What is v rounded to 5 dps?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 1220 = 841. Calculate the common denominator of n\/(-72) - (-2)\/3 and 16\/12*(-1)\/24.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30 + -30 + -1 + 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97*g - 10256 = -4145 for g.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.8647 and 211.9.\nAnswer: -183.22993","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 777 + -766. Suppose 0 = -4*n + 3*c + 1497, 15*n - 1495 = s*n + 5*c. Does 9 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 a factor of 1661665?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -1428*f**2 - 2. Let r be q(3). Let g be r\/(4*4\/8). Let y = -38645\/6 - g. Calculate the common denominator of y and 85\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - 3 - (-6 + 6 - 4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -261*f + 1 = i - 262*f, 2*f - 7 = -7*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1066, -1044, -984, -868, -678, -396, -4?\n\"Answer: 3*t**3 + t**2 - 2*t - 1068","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1062 is divided by 344.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1190 divided by -7.\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-3920)\/120)\/(5\/(-75)). Determine h so that -c - 5\/2*h**2 - 70*h = 0.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(-20)*((-8)\/5)\/(-1).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2056 + 3599. Suppose -95 - y = -6*u. List the prime factors of u.\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1922 = -63*c + 58*c - 4*t, -2*t = -3*c + 1162. Let r = c + -154. Calculate the remainder when r is divided by 39.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 2356?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-25)\/(225\/(-27)) - (-1)\/(-1). Let p(z) be the second derivative of 0 + 38*z + 27\/2*z**s + 3\/2*z**3 + 1\/16*z**4. What is v in p(v) = 0?\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2303 = 26*h - 4685 + 2746 for h.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -668 + 1132. What is the hundreds digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -175924 by 2.\nAnswer: -87962","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1935630*m + 1935522*m = 9396 for m.\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1117199287 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*s**2 - s**3 - 6 + 6)*(-12 - 8 + 7) - 2*s**3 + 2*s**3 - 2*s**3 - 3*s**3 + 3*s**3 - 2*s**3 + (-1 + 1 + s**2)*(-s + s + s) + 4*s - 4*s + s**3.\nAnswer: 11*s**3 + 104*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tfu when three letters picked without replacement from usyfntu.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10804, -10461, -10118, -9775, -9432?\nAnswer: -9089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 + -37. Let r = 59 + t. Solve 0 = -4*f + 5*c - 40, 1 = 5*f + 2*c + r for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -4620, -9223, -13826?\n\"Answer: -4603*y - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 216, -699, -2, 5 in decreasing order.\nAnswer: 216, 5, -2, -699","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/9 (b) -60 (c) 77\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a - 17984 = -9*a. Suppose 0 = -5*t + 4*n + 1414, 4*t + 6*n - 2*n = a. What is the hundreds digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*n**2*y**3 + 218*n**2*y**2 + 5*n**2*y + 2*y**4 + 5420*y wrt y?\nAnswer: 36*n**2*y + 436*n**2 + 24*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(3 + 1*(5 + sqrt(700) + 0 + sqrt(700)) - (sqrt(700)*-2 + -1 - (4*(sqrt(700) + -1) + sqrt(700))))**2.\nAnswer: 1800*sqrt(7) + 113450","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 41.84431ml in litres?\nAnswer: 0.04184431","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 4*t - 139216 = -0*t, 4*z - 4*t + 139184 = 0. What is z rounded to the nearest 1000?\nAnswer: -35000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36733398 divided by 26.\nAnswer: 1412823","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/9216000 and -103\/983040.\nAnswer: 73728000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -5, 236, 915, 2260, 4499, 7860?\n\"Answer: 38*g**3 - 9*g**2 + 2*g - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 3*x - 175 = 3*k, 4*x = -20. What is the remainder when k is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 41 (base 16) to base 7\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -3*h + 25, h - 4*b - 20 = 3*h. Let l = -2.97 + 2.9. Let x = l + 0.27. Sort 4, x, h.\nAnswer: h, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 14, 32, 58, 92, 134, 184?\n\"Answer: 4*f**2 + 6*f + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.42*0.5\nAnswer: 0.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 529*a**4 + 2*a + 11879?\nAnswer: 2116*a**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 2 = -2*l. Let c = -90994\/707 - 405\/101. Let d = c - -133. What is the nearest to l in d, -0.1, 2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57*r**2 + 2 - 54*r**2 - 458*r**3 + 926*r - 4 - 926*r.\nAnswer: -458*r**3 + 3*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*w = 14*d - 15*d + 3, -113*d - 451 = -7*w + 6*w for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 270*g + 2066 = 9086 for g.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.031 + -20.42099384\nAnswer: -20.45199384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -28 at least -25100\/919?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12 and 950592.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-36)\/6)\/(63\/126)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0.1031, -3.3 in ascending order.\nAnswer: -3.3, 0.1031, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fafpfapppdfmnfpf. What is prob of picking 2 f and 1 a?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 18, 0, -0.2, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.103 - 1.103. Which is the fourth smallest value? (a) 0 (b) -25 (c) 0.3 (d) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4327 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**2 - 61*u + 865. Let k be v(41). Solve 5*m + 6*h - k = 10*h, -3*h = -5*m + 40 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -5*p. Let x(f) = 14*f - 7*f + 4*f + 5*f + 51 + 2*f. Calculate o(x(v)).\nAnswer: -90*v - 255","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.049 + -58.951. Let d = n - -58.999914. What is d rounded to 5 dps?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1399878.\nAnswer: 2, 3, 83, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 190884?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and -890046.\nAnswer: 4450230","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**2 - 18*w - 880. Let j be h(40). Which is the nearest to -15\/4? (a) -2\/17 (b) j (c) 29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13365 a multiple of 165?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the second derivative of w**4\/3 + 19*w**2\/2 + 44*w - 1. Let y(v) = 2*v**2. What is y(b(p))?\nAnswer: 32*p**4 + 304*p**2 + 722","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pf when two letters picked without replacement from {e: 3, r: 1, f: 3, p: 1, s: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 2 - (-9 + 3 + 1)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13*(-2)\/(-78)*(-6)\/(-2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**2 + c - 1. Let g be b(-3). Solve 6*t + g*y + 13 = 3*t, -10 = 2*y for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 2 + 5644*s + 0 - 831*s. Let c be f(-4). Let h be ((-4)\/10)\/((-1)\/c). Round h to the nearest 1000.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -596742, -596741, -596738, -596733, -596726, -596717, -596706?\nAnswer: -596693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) -5\/2 (b) -1 (c) -212\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 57406676 and 8.\nAnswer: 114813352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from avaavvza. Give prob of sequence avvz.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7\/2? (a) 1\/3 (b) 2 (c) 58388\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 13*v**2 - 34*v**2 - 11*v**2. Let r(h) = 2*h**2. Calculate r(k(l)).\nAnswer: 2048*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**3. Let l be h(0). Suppose 0 = -3*x - 2*f + 15, -4*x - 5*f + 27 = -0*f. Suppose 4*i = x*q + 84 + 49, 3*i + 5*q - 136 = l. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39146381 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 32 + 46. Let f = o - -72. Let d = f + -31. Solve 2*s + 2*j - 2 = -12, d*s + 4*j = -12 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2*u - 1)*(0*u**2 + 0*u**2 - u**2) + 2*u - 2*u + 2*u**3 - 2*u**3 - u + u + (-3 + 3 - 2)*(4*u**3 - 2*u**3 + 0*u**3) - 6*u**3 + 18*u**3 + 5*u**3.\nAnswer: 15*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1804 a multiple of 107?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j + 7. Let l be d(-7). Let y(c) = c + 4. Determine y(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (-28 + 23 - (-1 + -4)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -36\/143 and 197\/1650.\nAnswer: 21450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2133728743 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes after 4:24 AM?\nAnswer: 1:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11*n*t**2*v**2 - 4*n*t*v - 142*n*t - 67*n - 159812*t**2*v**2 + 15*t**2*v + 3*v**2 - 33 wrt v?\nAnswer: -22*n*t**2 - 319624*t**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-48)\/(-30))\/((-8)\/(-10)) - 1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**3 - 12*y**2 + 10*y - 22. What is x(11)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2577, -10642, -24073, -42870, -67033, -96562, -131457?\n\"Answer: -2683*m**2 - 16*m + 122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/11, -0.1, -3\/295?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 5*v - 40, 7*z + 32 = v + 12*z. Calculate the remainder when 778 is divided by v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 11770.\nAnswer: -1\/5885","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/12448728 and 149\/1267926.\nAnswer: 136936008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 2 = -z - 3*z, 8 = -4*z. What is the remainder when s\/(-3) + 584\/12 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 285582881641 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the third derivative of z**5\/30 - z**2. Let j(x) = -x**3 - 6*x**2 - 5*x + 2. Let b be j(-5). Let q(w) = -39*w**2 - 1 + 40*w**b + 1. Give v(q(p)).\nAnswer: 2*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {n: 8, s: 5, d: 3}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1433*h**6 + 392*h**2 - h.\nAnswer: -171960*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -171, 2\/33, -2 in descending order.\nAnswer: 2\/33, -2, -171","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 6*k. Let i(q) = -5*q**2 + 4*q + 4. Let x(u) be the first derivative of 5*u**3\/3 - 3*u**2\/2 - 3*u + 6. Let n(w) = -3*i(w) - 4*x(w). Determine n(h(j)).\nAnswer: -180*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + f = 112, -5*v + 545 = 6*f - 16. Which is bigger: 147 or v?\nAnswer: 147","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**3 + 35*d**2 + 164*d + 1371. Give g(40).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -10*y**2 + 12*y - 3. Let m(p) = -p**3. Let t(b) = -m(b) - z(b). Let x be t(-11). Let o = x + -10. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, n: 3, h: 5, p: 3}. What is prob of picking 1 h and 1 n?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 113704009?\nAnswer: 113704009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 20 = -4*h, -13 - 2 = -5*h. Suppose -2*c + 5*c = -g + 14, -3*g = 4*c - 52. What is the remainder when o\/4*(-822)\/3 is divided by g?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1088972.\nAnswer: 2, 61, 4463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5960 is divided by 1822.\nAnswer: 494","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 990456308?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 0*s - 40 = 0. Let v(w) = w - 5. Let k be v(s). Suppose 2*h - k*q - 46 = -11, 3*h - 4*q - 63 = 0. Calculate the remainder when h is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 254 - -14428?\nAnswer: 14682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5\/47, -136, -0.5, -2\/7?\nAnswer: -136","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the second derivative of -3*a**2 + 0 + 2*a - 4\/3*a**3. Let u(r) = r + 1. Calculate 2*i(l) + 14*u(l).\nAnswer: -2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**3 + 2*t**2 + 4*t + 2. Let r(z) = z**3 - z**2 - z - 1. Determine -o(a) - 4*r(a).\nAnswer: -5*a**3 + 2*a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (19*(-100)\/(-7600))\/((-2)\/(-896)).\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12 - -15) + (-8 - 0 - -2 - (22 - 77))?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*207.\nAnswer: -62.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 48*r**2 - 77*r**6 - r**5 + 83*r**6 + r**5 wrt r?\nAnswer: 720*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -2*c**5 + 244*c**4 + 498*c**3 - 244*c**2 - 496*c = 0.\nAnswer: -2, -1, 0, 1, 124","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 999458?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 305 divide 248676?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 172724170 a multiple of 1522?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12195.93 - 12610. Let o = 414 + z. Let l(y) = y**3 - 8*y**2 + y - 5. Let w be l(8). What is the second biggest value in o, 0.1, w?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-168)\/(-210) + 1\/(-5).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -52 - -71. Let b = 19 - l. Suppose h + 2*x = 6, b = -0*h + 3*h - 2*x - 42. What is the remainder when 44 is divided by h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.03, 3\/4, 17\/7, -1.3?\nAnswer: 17\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*j**5 - 315*j**4 - 6555*j**3 - 45125*j**2 = 0. Calculate j.\nAnswer: -25, -19, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(26)\/sqrt(2))**2 + (0 + sqrt(39)\/sqrt(3))**2 + sqrt(13).\nAnswer: -3*sqrt(13) + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*f + 3*f**3 - 2*f - 113*f**2 - 32*f**2 + 37*f**2 to y*f**2 + k + s*f**3 + o*f and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4 - (48\/6)\/(-4). What is the first derivative of -2*i**2 + 3*i**2 + m*i**3 - 15*i**3 - 6*i**3 + 138 wrt i?\nAnswer: -45*i**2 + 2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 723763.\nAnswer: 199, 3637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t + 84 - 144 = 0. Which is the closest to -0.1? (a) -3 (b) t (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3829576 at most -3829576?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/((-60)\/(-8)))\/(2\/(-30))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -62*x + 17. Let m(q) = 43*q - 11. Let t(h) = -7*m(h) - 5*u(h). Give t(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -416364.62195+91\nAnswer: -416273.62195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 6\/49 (b) 0.1 (c) 15 (d) -5 (e) -16\/15\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {o: 2, f: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-1*sqrt(68) + sqrt(68))\/(sqrt(900)\/sqrt(9)).\nAnswer: 7*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 + 5. Suppose 2*i - a - 1 = 0. Let n = -2 - -11. What is the remainder when n is divided by i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p + 13. Let r(c) = c + 27. Let s(t) = -9*n(t) + 4*r(t). Let v(g) = 24*g + 26*g + 30*g + 27*g - 105*g. What is v(s(m))?\nAnswer: -10*m - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y - 0*y + 6. Let q(g) = g + 3. Let z be q(0). Solve z*v**2 + 5 - y + 0 - 6*v = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 32643?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1580.169 - -19.231. Round j to the nearest one hundred.\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16674\/(-9528)*(-368)\/28.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 2863*f**2 + 28*f + 1818. Let j(c) = -1909*c**2 - 20*c - 1211. Let t(r) = -5*d(r) - 7*j(r). What is the first derivative of t(n) wrt n?\nAnswer: -1904*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 356*n**2 - 714*n**2 + 5 + 27*n + 356*n**2. Let z be o(13). Calculate the highest common divisor of z and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -9*k**2 - 56. Let v(h) = -11*h**2 - 59. Let n(u) = 6*b(u) - 5*v(u). Let t(x) = -x**2. Determine t(n(z)).\nAnswer: -z**4 + 82*z**2 - 1681","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the second derivative of -m**5\/25 + 2*m**4\/15 - 12*m. Factor h(c).\nAnswer: -4*c**2*(c - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 228 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 2*r**2 + 3*r - 9. Let j be w(3). What is the highest common factor of 81 and j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 2 - 5*a + 8*a.\nAnswer: 3*a - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes before 9:48 AM?\nAnswer: 5:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -2*a**2 + 22*a + 9. What is the lowest common multiple of 25 and b(11)?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-1))**45*o*o**(-2\/7)\/o*o*o**4\/o assuming o is positive.\nAnswer: o**(26\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (540\/792 + 2\/(-11))*28\/63. Factor -2\/9 - v*r**2 + 4\/9*r.\nAnswer: -2*(r - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(-3) + 20\/12. Let d = 80 - -40. Suppose -2*x - 3*x + d = -5*q, -4*x + 60 = 5*q. Solve -f*l + x = 2*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 55250004 to the nearest integer?\nAnswer: 7433","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 75 - 90. Let r = 11 + v. Is r bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5 and 295?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2389 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: What is -43.4 minus 2.1?\nAnswer: -45.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -51 - -100. What is the greatest common factor of i and 539?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16858 (base 9) in base 15?\nAnswer: 36ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 71710492?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2058 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: What is 1\/4 of a meter in centimeters?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j\/j**(4\/3)))**(-8\/3)\/((j**4\/j)\/(j\/j**(-15))))**(-4\/15) assuming j is positive.\nAnswer: j**(-68\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -5588.4 rounded to the nearest 100?\nAnswer: -5600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5771*h = 5843*h - 1080. Solve 3*z - 5*i + 11 + 5 = 0, -3*i = -h for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 58\/182153?\nAnswer: 58\/182153","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 3*n + 2 - 12, -2*y = 4. Does 33 divide 1365\/14 - (-3)\/n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 - -2. Let h = a - -59. List the prime factors of h.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14696767747 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-148647 + 148647 + 551*q)*(-q**3 + 0*q**3 + 3*q**3) in the form r + y*q**4 + f*q + w*q**3 + c*q**2 and give y.\nAnswer: 1102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 2*p**2 + 1 + 2*p + 4 + 14*p**2. Let l be -26 - -24 - ((-2)\/(-2) - 6). What are the prime factors of u(l)?\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/13 (b) -1 (c) -0.5 (d) -42 (e) 0.3 (f) -3\/82 (g) 2\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 26 + -c6?\nAnswer: -a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2964 = -169*k - 2352 - 2627 for k.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - a = -2*a - 11, -3*a - 18 = -p. What is the third derivative of -45 - 2*m**2 + 45 + m**p wrt m?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3373 - 980. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 816101873 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -13*o - 11. Let b be r(-1). Suppose -y + 0*w - 2*w + 44 = 0, -78 = -b*y - 2*w. Solve 5*f + y = 44 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes after 11:25 AM?\nAnswer: 12:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 20*v**3 - 27*v + 27*v + 1 - 1 - v**3 + (-v - 5*v + 4*v)*(-2*v**2 + v**2 + 2*v**2).\nAnswer: 17*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -117 + 79 + 3 + 31\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 2*k - 43654, 0 = 3*k - 5*k - 5*o + 43686. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the second derivative of -779*x**6\/15 + 131*x**4\/4 - 647*x. Find the third derivative of g(d) wrt d.\nAnswer: -37392*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 9665*d - 28996. Calculate m(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(325) + (5*sqrt(325))**2 + -3.\nAnswer: 5*sqrt(13) + 8122","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8309843?\nAnswer: 1999, 4157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:51 AM and 2:04 PM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*k + 2754 = -26*k. Let t = k + -162. Let y(v) be the second derivative of -v**3\/3 - 3*v**2 - v. What is y(t)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 6 = -54. Let g(y) = 16*y + 32. Let p be g(d). Let u = -47 - p. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 31 (b) -1 (c) 0.26 (d) 2716\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 38*t - 4. Calculate the remainder when k(2) is divided by 1\/(-2) + 3 - 483\/(-14).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*d + 20 - 20)*(0 - 2 - 1)*(1098 + 14*d - 1098).\nAnswer: -210*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 10010000001110000 (base 2) to base 12\nAnswer: 36894","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + 14 + 589*h**3 - 579*h**3 - 5.\nAnswer: 10*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -3908, -7816, -11728, -15644, -19564?\n\"Answer: -2*p**2 - 3902*p - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (6\/45)\/((-42)\/(-9)). Is w at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85198829 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -4 (b) -2 (c) 70 (d) 1\/318\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.04673526 to four dps.\nAnswer: -0.0467","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 - 5*s**2 - 23*s + 3. Determine x(8).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Do 32230 and 4286455\/133 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 20, -4, 0 in increasing order.\nAnswer: -4, 0, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -142*f + 126*f + 144 for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1))**(3\/4)*(a**(1\/4)\/a)\/(a**(-2)*a) assuming a is positive.\nAnswer: 1\/sqrt(a)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -515 = -5*h + w, -4*h + 4*w + 236 = -176. Differentiate 3*a**2 + 0*a**4 + h - 31 + 9*a**4 with respect to a.\nAnswer: 36*a**3 + 6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 52? (a) 0.04 (b) 4\/3 (c) 9 (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(125) + 1 + -4)**2 + (2*sqrt(125))**2*-4 - (-3 + (sqrt(125) + 1)**2)*1.\nAnswer: -1989 - 40*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 8, -6\/827, -2, 4, -5, -0.4 in ascending order.\nAnswer: -5, -2, -0.4, -6\/827, 0, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7\/3 - -7. Let l = 44 - 23. Calculate the common denominator of 91\/(-6)*(-12)\/l and s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4497 - 4483. Suppose -n - 75 = -g, -2*g - 5*n = -g - 81. Let u = 116 - g. What is the remainder when u is divided by m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1032?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -117 - -351. Let i = 50536268.00099 + -50536034. Let k = i - h. What is k rounded to 3 decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 667861 to the nearest integer?\nAnswer: 817","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 43*r**2 + 76*r + 2567. Is b(82) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -67*q**2 + 6965*q wrt q?\nAnswer: -134","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 4*l**5 - 3812*l**4 - 178348*l**3 + 2872388*l**2 - 5000952*l = 0.\nAnswer: -57, 0, 2, 11, 997","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -124, -480, -1072, -1900, -2964, -4264, -5800?\nAnswer: -7572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3 - (-4)\/(16\/332). Suppose 5*m + 265 = 5*s, h + 139 = 5*s + 5*m. What are the prime factors of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 + 1)*(9*l**2 + 3*l**3 - 9*l**2)*(l + 0*l + 0*l) + (-17*l + 17*l - 13*l**4)*(1 - 1 - 3) in the form j + g*l**3 + s*l + w*l**4 + r*l**2 and give w.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 4*b**3 + 2*b**2 - 2*b + 4. Let p(l) = l**3 - l**2 + l - 1. What is -i(z) - 2*p(z)?\nAnswer: -6*z**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 96231?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10444\/9 + 1166. Calculate the common denominator of (-115)\/33 + (-18)\/(-27) and v.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000043272999 rounded to 6 dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -42259914, -84519827, -126779740, -169039653?\n\"Answer: -42259913*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q - 4. Let s(n) = 5*n + 20. Let l(b) = 11*f(b) + 2*s(b). Let r be l(-4). Which is smaller: -4\/7 or r?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*r + 38 - 41 = -4*r + 65 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*k**3 - 3320*k**2 - 9708*k + 178632.\nAnswer: -4*(k - 6)*(k + 9)*(k + 827)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -25*c**2 + 8*c - 7. Calculate f(1).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 2*l**3 + 6*l**2 - 4*l + 4. Let f(w) = -2*w**3 - 5*w**2 + 3*w - 4. Give 4*f(y) + 3*m(y).\nAnswer: -2*y**3 - 2*y**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 32 = -4*w, -p - 24 = -3*w - 0*p. Let h(v) = -8*v - 10. Let a = 6 - 10. What is the lowest common multiple of w and h(a)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -31956 or -31914?\nAnswer: -31914","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -48514055.2 - -48515996.450115. Let u = 1940.71 - y. Let l = u - -0.54. What is l rounded to five dps?\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 22\/1053 and 151\/234?\nAnswer: 2106","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-1)\/c**(1\/4)*((((c*c**(-3))\/c)\/c)\/c)\/(c**(-1\/7)*c*c*c)*((c*(c*c*c*c**(1\/3))\/c)\/c*c)**(-6\/19)*c**(-2\/7)\/c**2 assuming c is positive.\nAnswer: c**(-6621\/532)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h - 2. Let y(x) = -3*x - 5. Let d(l) = 5*w(l) - 2*y(l). Let c(t) be the first derivative of -9*t**2\/2 + 3. Give c(d(m)).\nAnswer: -9*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8245587?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 51, -4, -3, 89, 0 in descending order.\nAnswer: 89, 51, 0, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes before 2:26 AM?\nAnswer: 9:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 + -1 + 5 + -13. Let h = 14 + y. Let p(i) = -i**2 + 9*i + 4. Let n be p(h). Calculate the highest common factor of 8 and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - (1 - 21 - ((15 - 25) + -28 + 42)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m = -41 - 31. Let w be (m\/(-3))\/(1*8\/4). Factor -4\/3*i**2 + 4\/3*i - 4\/3*i**3 + w.\nAnswer: -4*(i - 1)*(i + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43879841 is divided by 1242.\nAnswer: 1223","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06804039 rounded to 2 dps?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 342887363 to the power of 1\/6, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 94 - 94.0302. What is g rounded to three dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/4? (a) -3\/5 (b) 133 (c) 0 (d) 10\/39\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -7 - (0 - (-4 - 0) - (135 + -116))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 20677.56366 rounded to the nearest 100?\nAnswer: 20700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the first derivative of -10*k + 1\/2*k**2 - 91. Give q(7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 8\/1067?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-100)\/(-3)*((-5)\/4)\/(605\/(-726))\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x + 0*x + x)*(2 - 173*x + 69*x - 2) + x - 2*x**2 - x + (-3*x - 2*x + 3*x)*(-5*x + 2*x + x) + 3*x**2 + x**2 + 0*x**2.\nAnswer: -202*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:49 AM and 2:00 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 25*q**2 - 3*q - 7. Let g be p(-4). Let k = -232 + g. List the prime factors of k.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o = -284 + 295. Suppose -2*l - o = -d, -d - 9*l = -10*l - 7. Let g(v) = 13*v + 7. Let y(c) = 7*c + 4. Let w(s) = -4*g(s) + 7*y(s). Give w(d).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*h + 32 - 14 + h - 18 + 14*h.\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.053 in 1, -3\/4, 0.3, -2\/9?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/11 or -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2566 is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4046 - 1995. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ukl when three letters picked without replacement from lukelkvklu.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/(-6))\/(4\/(-24)). List the prime factors of -2 + (-808)\/(-6) - n\/6.\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*i + 31*i + 5*i + 2*i.\nAnswer: 30*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hqqqgdgqq. Give prob of sequence hqq.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29010.\nAnswer: 2, 3, 5, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -245*o**3 - 3*o**2 + 76*o + 366. List the prime factors of b(-5).\nAnswer: 2, 11, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-3))**(43\/5)\/(((s**(4\/7)*s*s)\/s*s*s)\/(s**(-3\/10)*s)))**30 assuming s is positive.\nAnswer: s**(-6021\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3294, -6565, -9836, -13107, -16378?\nAnswer: -19649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -5*g + 2*x - 10, g + 14 = 3*x. What is the units digit of 1*(-3 - -5)*g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5501223 is divided by 71.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 4, -2\/1273, -2\/7, 2\/5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-16)\/w**(-5\/3))\/(w*w**(1\/15)*w*(w\/(w*(w**(-4\/7)*w*w)\/w))\/w) assuming w is positive.\nAnswer: w**(-524\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.05844, 1\/7, -1\/3 in descending order.\nAnswer: 1\/7, -0.05844, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2359*n**2 - 4304*n + 196197313.\nAnswer: 4718*n - 4304","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*y - 2*y - 5 = 0, -3*y = -3*v - 15 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c + 3. Let b be (-3)\/6*6*1. Let f(a) = a - 2. Let k be -1 - -1*(0 - 1). Calculate b*f(w) + k*t(w).\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l + 22. Let r be b(8). Let x be ((-66)\/(-18) + -3)*r\/(-4). What is the remainder when 2 is divided by (8 - (2 - -1))*(-1)\/x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5083 - 1282. What are the prime factors of r?\nAnswer: 3, 7, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.2 + 2.142. What is v rounded to 2 dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*q - 29 = 22. Suppose w**2 - q + 47*w - 98*w + 49*w = 0. What is w?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4410.3 + -4411. What is the second biggest value in v, 7, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(448) + 0.\nAnswer: -5 + 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes after 4:51 AM?\nAnswer: 7:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -154 = k + 81. Let g = k + 334. Is 11 a factor of g - (-2 + -2 - -4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*s - 5*s + 0*s + (-2*s - 4*s + 4*s)*(0 + 1 - 2) to g + k*s and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2413 and 57.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 11*y**2 - 51*y - 1507. Let m be n(51). Calculate the greatest common divisor of 107 and m.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 + 17 + -2 - 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - 3*y - 10, 0*y + 4*y = -4*p. Suppose -p*x = z - 3 + 2, 5*x = -3*z. What is the third derivative of 3 - 4*r**x - r**2 + 9*r**3 - 3 wrt r?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -12*i**2. Let p(x) = -150508 + 301036 + 10*x**2 - 150511. What is v(p(o))?\nAnswer: -1200*o**4 - 4080*o**2 - 3468","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*c = 20*c + 12. Let y(p) = 3*p - 8. Let s be y(c). Solve 0*r - 20 = s*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 130 and 2262280.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**1)**(-49)*x**(-7)*x**(-2\/21) assuming x is positive.\nAnswer: x**(-1178\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4 (b) -0.0249 (c) 630\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 683*b**2*v**5 + b**2*v**3 - 3390*b**2 + 2*b*v wrt v.\nAnswer: 13660*b**2*v**3 + 6*b**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 4*k**2 + 3*k - 3. Let q(p) = -22*p**2 - 14*p + 3. Let b(z) = -6*f(z) - q(z). Calculate b(-8).\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 4*n = -4. Let s be -3 - (-2 - n - 0). Let u be 1 - (5 + -14) - (-8804)\/(-923). Which is smaller: s or u?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:53 AM and 3:19 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*i**5 - 36*i**3 + i**2 + 46 wrt i?\nAnswer: -180*i**2 - 216","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 671, 5486, 18587, 44126, 86255?\n\"Answer: 692*k**3 - 9*k**2 - 2*k - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 3556*q**3 - 3481*q**3 + 9*q**2 + 26*q**2 + 3 + 2*q**2 to the form n*q + y + f*q**2 + o*q**3 and give o.\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q = 8, 611*b - 4*q - 20 = 608*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the first derivative of -t**6\/1260 - t**5\/210 - t**4\/84 - t**3\/3 - 2. Let q(i) be the third derivative of f(i). Determine d so that q(d) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4 + 3)\/(3\/(-6))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 29027?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the second derivative of -c**5\/20 - c**4\/2 - 2*c**3 - 3*c**2 + 6*c. Let i(d) be the first derivative of w(d). What is u in i(u) = 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-208)\/(-40))\/(-11*28\/3080).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 14 - 9a?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.0457 times 0.4\nAnswer: 0.01828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1363 + 1401 - (2 + 58).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 1 = m + 5*p, -3*m + 5*p = -4. Suppose m*q = -2*q. Solve -3*t - 3 - 6 = q for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-21) + (-5 - -3) + 2?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -1 + 2\/3*t**2 + 1\/3*t**4 - 4\/3*t**3 + 4\/3*t = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1373\/4101 - -2\/1367. Which is smaller: 0.0607 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2146?\nAnswer: 2, 29, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*v*x**3 - 21*v*x**2 + 1005640*v*x - 1510*x**3 - 2*x**2 wrt x?\nAnswer: -30*v*x - 42*v - 9060*x - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yymmmmfmyffmmmmmmm. Give prob of picking 1 m and 1 y.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -8716 take away 6040287.3?\nAnswer: -6049003.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8*((-64)\/12)\/8*(-9)\/2.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 200997 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4121935464 to the nearest integer?\nAnswer: 1603","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the first derivative of 3*g**5 + 12*g + 15. What is the derivative of t(w) wrt w?\nAnswer: 60*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10123 and 76591?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 23 + 81 = -2*n, 3*n + 2*q + 95 = 0. Let g = 6 + -3. Let m be (-2 - -1)\/(g\/n). Which is greater: m or 10?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -44291314*g**4 + 2*g**2 - 4*g - 60027 wrt g.\nAnswer: -1062991536*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1d7 (base 14) to base 7\nAnswer: -1060","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*c + 15 = -9 - 10 - 2, -3*q - 30 = -3*c for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -0*p - p + 6, 3*p = -2*j - 3. Suppose 68 = d + 3*d. Suppose -5*b - 3 - d = 0. Sort p, b, 3 in increasing order.\nAnswer: b, p, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -66, 3, -3, 2 in descending order.\nAnswer: 3, 2, -3, -66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -128 - -143.8. Let z = -16 + j. Which is the third biggest value? (a) 5 (b) -0.1 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 10290547 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2\/7 (b) 11.84 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -16 != -9525?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3 - (-3)\/(-3))\/(2\/13). Let d = -11 + 24. Calculate the greatest common factor of s and d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(40)\/sqrt(40))\/(sqrt(12)\/sqrt(54))*-3*-1 + 5.\nAnswer: 5 + 9*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 354, -990, -3248, -6414, -10482, -15446, -21300, -28038?\nAnswer: -35654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -386677*f**2*g + 2*f**2 - 276*f - 11 wrt g?\nAnswer: -386677*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of (-428)\/10*(-1 - 9)*1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -80 - -86. Suppose -l*y - 4*c = -y + 442, 0 = 2*y - 3*c + 186. Let t = 93 + y. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 + 12*d**2 + 31*d - 4. What is z(14)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/4*(-2 + -290)*-1. Sort -15, p, 5 in decreasing order.\nAnswer: p, 5, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65604 = -12*p + 2*w, 0*w - 3*w = -5*p + 27348. What is the highest common factor of p and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q**5\/5 - 152*q**4\/5 + 6603*q**3\/5 - 61984*q**2\/5 + 21532*q + 35280 = 0. Calculate q.\nAnswer: -1, 4, 9, 70","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 + 9 = 2*f - 3*j, -11 = 4*f - j for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 340*m + 1. Let b(p) = -681*p - 1. Determine -3*b(j) - 5*r(j).\nAnswer: 343*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the first derivative of -11*m**2\/2 + 13*m + 37. Let p be c(1). Suppose 0 = -z + 5. Solve -14 = -p*d - z*f, f = 2*d - 4*f + 26 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 - 2 - (38 + -99 + 37)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -761*q**2*r**3 - 756*q*r**3 wrt q.\nAnswer: -1522*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 2*l**2 + 7*l - 2. Let f be u(-4). Suppose -f*y + y + 4*m + 7 = 0, 5*m + 15 = 0. Sort -4, 2, y, 11.\nAnswer: y, -4, 2, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-5) + (-146)\/(-10). Suppose 0 = 3*w - 3*h + 51, -4*w = -9*w - 2*h - 50. Let n = v + w. Put n, -2\/9, 0.1 in decreasing order.\nAnswer: n, 0.1, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes before 3:14 AM?\nAnswer: 2:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the third derivative of 5*g**4\/24 + 2*g**2. Let o be c(4). Suppose n - o = -n. Solve v - 4*b = -7*b + 10, 3*v + 5*b - n = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - 6125 = 2*k - 6118, b - 3*k = 7 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12142913, -12142915, -12142917, -12142919, -12142921, -12142923?\nAnswer: -12142925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = 3*i - 14, 6*i - 7*i + 2 = k. Put 5, k, -4, 10 in increasing order.\nAnswer: -4, k, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-2*(-3)\/216). Let k = v + -50. What are the prime factors of k?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 2 = -5*j, 3*j - 5*n + 0 = -12. Let u be j*(2 - (-4 + 5)*3). Let t be ((u - 1) + 5)*14\/21. Solve t*i = 5*i + 6 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2, 25, -2\/3, -6\/5, 966?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + 110111001110?\nAnswer: 110111010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o**5 - 1854*o**4 - 134055*o**3 + 273684*o**2 - 137772*o = 0 for o.\nAnswer: -534, -86, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -31*z + 2. Is x(-3) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -77*i + 10911. Give y(142).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 468*a**4 + 5*a**3 - 115*a**2 + 3*a - 5. Let g(r) = r**4 - r**3 + r**2 - r + 1. Let m(q) = -5*g(q) - u(q). What is the third derivative of m(s) wrt s?\nAnswer: -11352*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**3 + 7*t**2 + 6*t + 10. Let r be l(-5). Suppose -6*j = -8*j + 16. Suppose -17 - 583 = -j*x. Calculate the highest common divisor of r and x.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 22114 or 22016?\nAnswer: 22016","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.2349131ml?\nAnswer: 0.0002349131","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-41 + 1)\/(6\/(-18)*3). Find k, given that 1510*k**3 + 390*k**2 + i - 248*k + 75*k**5 - 1715*k**3 - 80*k**4 + 28*k = 0.\nAnswer: -2, 2\/5, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -378092752 divided by -8?\nAnswer: 47261594","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 26245370?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Sort -157, 0.5, 0.3, -3.\nAnswer: -157, -3, 0.3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 115554 is divided by 38.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 + 3 + 45)*(5*v - 3*v + 0*v)*(-3 - 6 - 3).\nAnswer: -1416*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 535514.\nAnswer: 2\/267757","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47 + 0*l**2 + 2*l**2 - 47.\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 5, w: 7, u: 4, j: 2, h: 2}. Give prob of picking 1 j, 1 t, and 1 h.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -2*a + 6*c + 50, 2*c = -3*a + 35. Suppose -4*m - m = 3*q + 9, a = 3*q - 3*m. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 5*u + 0*u = -377, -u + 407 = 3*p. Suppose -2*d = 5*k - 5*d - p, -2*d = 6. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000014818 rounded to five decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -3*a + 684, 2*a + 3*a - 1140 = -4*z. Let o = 417 - a. Is 29 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:40 AM and 7:32 PM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 - -3153400?\nAnswer: 3153353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes before 6:52 AM?\nAnswer: 8:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -2*b**2 - 49*b + 607. What is t(9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 410958 and 2312.\nAnswer: 578","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 98119 and 3745?\nAnswer: 749","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77*g**2 + g - 154309 + 3*g**2 - 88*g**2 + 154309.\nAnswer: -8*g**2 + g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -152.2 - -27.5. Let o = -125 - k. Let y = -7\/40 + 3\/8. Which is the closest to y? (a) o (b) 2 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3975032?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 147071 - 457448. Let o = x - 718430. Let y = 658807 + o. What is y rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21331 (base 5) in base 12?\nAnswer: a22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 0 + 12 + -34 - 5.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*t**3 + 244*t**2 + 3366*t wrt t.\nAnswer: -48*t + 488","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -901840, -1803649, -2705458, -3607267?\n\"Answer: -901809*r - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -2041.96 <= -2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 + -4. Suppose -5*q = 3*i + 6, -3*i = i - o*q - 18. Let s = 0.288 + 0.212. Sort s, 1, i.\nAnswer: s, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -310 (base 4) to base 14.\nAnswer: -3a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 609860 - 382849. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 - 306651302?\nAnswer: -306651266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -38 + 56. Is 15 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 50 = -5*q, -3*q + 10 = 19*g - 18*g. Which is the fourth biggest value? (a) 2\/9 (b) 0.65 (c) -3 (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 47 by -1.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 1170666 = -u - 1829318, 0 = 2*u - 4*w + 6000016. What is u rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2266c - 10?\nAnswer: 2265c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9768 and 108?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -2*o. Suppose -3*g = 2*c - 27 + 15, -4*c - 3*g = -18. Let i(f) be the first derivative of c + 0*f + 0*f**2 + 7\/3*f**3. What is h(i(r))?\nAnswer: -14*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 924 divided by 308.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4089.37 microseconds to seconds.\nAnswer: 0.00408937","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12810910\/269 - 47624. Let g = -19435\/17754 + v. Let b = 3\/11 - g. Find the common denominator of b and -2\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5329397 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 123 is divided by 3 + 16419\/143 + (-14)\/(-77).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*v - 2*v - 1225. Is 25 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5680 and 23133220.\nAnswer: 1420","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**2 + 2*m + 3. Let b be f(-3). Is 10 a factor of ((-26)\/b)\/((-6)\/18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75916891?\nAnswer: 47, 1615253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -2*q**4\/19 + 68*q**3\/19 - 728*q**2\/19 + 2352*q\/19 = 0.\nAnswer: 0, 6, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -31? (a) -3\/5 (b) 0.04 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 + -3. Let i be b\/(-5)*(-10)\/4. Let n be 7 + (14\/(-7) - 3). What is the closest to 1 in n, i, 0.3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -9256*i + 8. Calculate d(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.09512654 and 920032?\nAnswer: 920031.90487346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 5 + 3 = 5*p, -5*p + 5 = 0. Suppose 21 = f*r - 21. Does 7 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + j + 4 = 0. Let l be j\/(-8) - 2415\/(-4). Suppose -224 = 4*a - l. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 17, l: 2}. Give prob of sequence lrl.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the second derivative of -m**5\/20 + m**4\/2 - 5*m**2\/2 + 5*m. Calculate the smallest common multiple of (1\/((-1)\/(-3)) - 5)*-5 and b(5).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -208621, -208596, -208523, -208378, -208137, -207776, -207271, -206598?\nAnswer: -205733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3802.807 + 3806. Let x = s - 3.33. Round x to 2 dps.\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**2 + 6*w + 7. Let r be u(-8). Suppose -357 = -5*q - 4*c + 563, 2*c = 0. Calculate the greatest common divisor of r and q.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -3, -7, -68, -5 in decreasing order.\nAnswer: 5, -3, -5, -7, -68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -19, -1\/3, -7\/6, -1, 12 in descending order.\nAnswer: 12, -1\/3, -1, -7\/6, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 402 is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - 26) + 13 + -4 - -8?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l - l - l)*(-3 - 2*l + 3) - 12*l + 12*l + 7*l**2 + (-3*l - 11*l + 11*l)*(-3*l + 5*l + l).\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 70\/91*(((-5396)\/570)\/(-71))\/(4\/6).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -1\/7, -30, -4, -0.4?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of -4 + 1\/2*p**2 + p. Let i be (0 - 0 - 1) + 2. Calculate f(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -42*z - 3. Let q(g) = 21*g + 1. Let c(u) = -11*q(u) - 6*y(u). Let o be c(-12). Let d be 679\/o - (-8)\/14. Is -1 at most d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2312)\/11560)\/(7\/(-245))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -97779925*y**4 + 463902120*y**2 wrt y.\nAnswer: -2346718200*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -901242 (base 15) in base 2?\nAnswer: -11010000101011111110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.064, -2\/5, 4012?\nAnswer: -0.064","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**2\/5 - 88*b\/5 - 380.\nAnswer: -(b + 38)*(b + 50)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -216*h - 30 = -211*h. Let z = h - -3. Let s(w) = -91 - 94 + w**2 + 7*w + 185. Give s(z).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25347\/(-2130)*6\/(-63)*-3?\nAnswer: -17\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 5*z = 287, -2*d + 4*d + 145 = -3*z. Let h = 70 + d. Suppose 44 = -h*b + 418. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 66\/15 - (-4)\/(-10). Suppose 0 = c*u - u - 69. Calculate the remainder when u is divided by (-2)\/(18\/(-8) + 2).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -158, -310, -446, -554, -622?\nAnswer: -638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/2124 and 25\/4248.\nAnswer: 4248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -390 - -396. Suppose -w*b + 5021 + 37 = 0. What are the prime factors of b?\nAnswer: 3, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2354*h + 47108 - 251906 = 0 for h.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -8202 at least -2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1565896*h**4 + 1097799 wrt h?\nAnswer: -6263584*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18445?\nAnswer: 5, 7, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s + 5. Let g be u(7). Let h(i) = 9*i - i**2 - 4 + g + 0*i**2 + 2. List the prime factors of h(9).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**3 - 9*j**2 - j + 3. Let l be (-1)\/4 + (-242)\/(-8). Suppose 3*h + l = 3. Let t be q(h). Calculate the greatest common divisor of 12 and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18997 + 8786 - 34448 = -970*b - 1657*b for b.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 158 = 2*c + 12, 236 = 3*c + 4*i. What are the prime factors of c?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/1128 and 89\/480.\nAnswer: 22560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21 + -15 - 13 - 5 - (-81 + 4).\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-5)\/3)\/(11\/(-33)). Find the common denominator of 17\/40 and 25\/168 - 10*r\/75.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -424 - 491 = 61*g for g.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -5*w - 14. Let t(d) = 5*d + 13. Let z(f) = 6*t(f) + 5*x(f). Let b(p) = 11*p + 17. Let l(y) = 3*b(y) - 7*z(y). What is the units digit of l(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.013834878264 to seven dps.\nAnswer: 0.0138349","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.2 - -0.1. Let s = 0.32 - 0.02. What is the third biggest value in -2, s, q?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -64\/165 and -49\/75.\nAnswer: 825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -82*f*t**3 + f*t**2*z**3 - 60*f - 2*t**3 - t*z**3 - 3*t + z**2 wrt t?\nAnswer: -492*f*t + 2*f*z**3 - 12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 139 - 56 = 0. Suppose 0 = 13*d - 143 - 104. Let w = i - d. List the prime factors of w.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + (-6 - -14 - -1 - ((-9 - -22) + 67)).\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 16*m - 1. Let o be s(1). Suppose 3*g - 3 = -o. Let q = 9 + g. Solve -q*u + 12 = -2*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 163 - 235. Which is smaller: a or -71?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (14\/(-252))\/(0 + 2\/8). Which is the nearest to -2? (a) 0 (b) r (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -0*u - 5*u + 38, -5*u + n = -53. Suppose -3*i = -2*i - u. What is the remainder when i is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 - 1 - (-5 + 3). Suppose z*r + 2*w = 93, -2*r - 3*w = -24 - 33. Suppose 5*k - r = 62. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*u - 17*u - 191620*u**2 - 1678*u**3 + 191620*u**2.\nAnswer: -1678*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.313, 30828, 0.2, 1\/4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d - 2*d + 3*d)*(-d + 3*d - 5*d + (-8*d + 2*d + 8*d)*(-3 + 0 + 1)).\nAnswer: 14*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 76 = 70 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 11.08 from -3351183741.\nAnswer: -3351183752.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 5, z: 3, m: 9, t: 1}. What is prob of sequence zozz?\nAnswer: 1\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**27*d\/(d*d*d*d\/(d*(d**(-3)\/d*d*d*d)\/d*d)*d)*d*d)\/(d**(-13)\/d**(-9)) assuming d is positive.\nAnswer: d**(-24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -g**4 + 1 - 1 + (2*g**3 - 3*g**3 + 0*g**3)*(2*g + 3*g + g).\nAnswer: -7*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 1)*(-w - 634*w**2 + w + 474 - 474).\nAnswer: 634*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 10 = 26. Suppose c + 4*b + 10 = -2*c, -2*c - 3*b - y = 0. What is the smallest value in c, 0.2, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:24 PM and 11:50 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes after 3:44 AM?\nAnswer: 7:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 553616271 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x + 1. Let v(m) = 4*m - 7. Let f(h) = 9 - 1 - 2*h - 3*h. Suppose 10 = -t + 4. Let i(n) = t*f(n) - 7*v(n). Give 3*i(y) - 3*p(y).\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -108 + 117. Suppose 14 + 4 = q*i. Suppose 7*x + 4*s - 448 = 3*x, -i*s = -4*x + 466. What are the prime factors of x?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 17*f**2. Let i(l) = l. Give i(a(v)).\nAnswer: 17*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) -1.3 (c) 37 (d) -3 (e) 60\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -1\/3 (b) -3\/2 (c) 1\/5 (d) -1880859 (e) -2\/7 (f) -2 (g) 0.04\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*k = -3*k + 3*j + 34, -11*k = -41*k - 3*j - 159 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -g - 16. Let m = 5.90479 - -0.09521. Which is the third biggest value? (a) m (b) 0 (c) g (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6\/4200)\/((-3 - 14\/(-4))\/(-1)). Which is the nearest to -0.1? (a) -3\/2 (b) -0.5 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3080)\/75)\/28*(-51)\/34?\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:23 PM and 4:07 AM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 597874?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 39324834, 78649682, 117974552, 157299456, 196624406, 235949414, 275274492?\nAnswer: 314599652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -19*m*w**4 + m*w**2 + m*w + 6235*m - 2684*w**4 wrt w.\nAnswer: -228*m*w**2 + 2*m - 32208*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -650*f**2 - 78*f + 4?\nAnswer: -1300","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 286*s - 8024 + 2226 = -318*s + 26818 for s.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**3 + 4*m**2 + 7. Suppose 0 = -8*o - 8*o + 32. Let l(k) = 4 + 2 - 6*k**o + 5*k**2 - 2*k**2 + 6*k**2. Calculate -3*l(j) + 2*t(j).\nAnswer: 2*j**3 - j**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(475)*2 + 0 + -3)**2*3 + (-4*sqrt(475) + -4 - sqrt(475)) + sqrt(475) + sqrt(475) + ((sqrt(475) + -3)*-4)**2.\nAnswer: -675*sqrt(19) + 13467","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 + (-306 - -2) - ((-2 - -1) + -102 + 0)?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**2 - 3*l + 7. Let k be t(-5). Let o = k - 1. What are the prime factors of (-2 - 1)*(o - -3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -151*v = -158*v + 24437. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 4*g + y, 8*y - 9*y = -4*g - 2. Solve -n = -6*n - 3*b + 3, g = 4*n + 4*b - 4 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1753 - 1731. What is the least common multiple of s and 782?\nAnswer: 8602","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the second derivative of -k**4\/4 - 10*k. Let r(b) = -5*b**2. Give r(q(o)).\nAnswer: -45*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 305 - 162. Suppose -y = 8*u - 183. Solve 10 = -5*w + u for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 327*y**3 - 2*y**2 + 10*y - 9. Let g be s(1). Differentiate n**2 + 665*n + 137 - g*n - 394*n wrt n.\nAnswer: 2*n - 55","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 4020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 18 in 3\/7, -8.7, 55?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.09 - 4.09. Let v = -0.26 + -13.74. Let i = v + 9. What is the nearest to 1\/2 in 2, x, i?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 5*w - 0*g + 1685, 2*g = 0. Let m = w - -407. What is the greatest common divisor of 40 and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82311.65 nanometers in micrometers?\nAnswer: 82.31165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2583075 divided by 341\nAnswer: 7575","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -12 and 190.\nAnswer: -2280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, 45, -9 in decreasing order.\nAnswer: 45, 1, 0, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-38 + 39 - (14 - (3 - 11))) + -70?\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:03 PM and 12:24 AM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 530751 to the power of 1\/3, to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*n + 3 - 5*n + 20*n**3 - 22*n**3 + 128*n**2 - 113*n**2 - n**4 to the form o*n**3 + r*n**4 + p*n + d*n**2 + c and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s = u + 17, -27*u = -24*u - 25*s + 81 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (407*t + 192*t - 129*t)*(2*t**2 - 2*t**2 + t**4).\nAnswer: 470*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10951 + 19977. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 2 + 10*k - 1 - 3*k + 2*k. What are the prime factors of t(3)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 3*m**2 + 2*m + 9. Give d(4).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(-27)*((-7200)\/125)\/32?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (1*3)\/((-465)\/310)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.434 + 541.566. Let v = -541.5 + x. Which is the closest to -0.05? (a) -2\/5 (b) 0 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from guuggiggguggruuurg. What is prob of picking 1 r, 1 g, and 1 i?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of k**2*u + 4*k**2*z**3 - 232*k**2 + 2*k*u*z - 4*z**3 wrt z?\nAnswer: 12*k**2*z**2 + 2*k*u - 12*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand g - 2 - 75*g**2 - 3*g**3 + 77*g**2 + 0*g + (-g - 4*g + 3*g)*(g - g + 2*g**2) - 5*g**3 + 5*g**3 + g**3.\nAnswer: -6*g**3 + 2*g**2 + g - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*p + 6*p + 366. Suppose 4*o + 3*g - p = 0, g = -4*o - 0*g + 370. What is the remainder when o is divided by 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes after 7:51 PM?\nAnswer: 4:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 28*u**6 + 8*u**5 + 10*u**2 + 8*u + 8. Let q(i) = i**6 + i**5 - i**2 + i + 1. Let g(o) = -8*q(o) + v(o). Find the third derivative of g(j) wrt j.\nAnswer: 2400*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.25 - -0.47. What is the second biggest value in z, -3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -450 plus -1?\nAnswer: -451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60 is divided by 42?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000103372606 to seven dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 15 = -12*f, -3*t - 2*t = f - 15. Suppose 0 = -5*r + 4*r + 12. Let g(l) = l**2 + 4*l. Let s be g(-4). Solve t*k + r = -s*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + 12 = 12*y - 15*y, -48*y + 8 = -22*i - 50*y for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(104) + (sqrt(104) - sqrt(104)*2) + sqrt(104)))\/sqrt(8)*-6.\nAnswer: 24*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 131 take away -81355?\nAnswer: 81486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 23587, 23586, 23585, 23584, 23583?\n\"Answer: -k + 23588","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 22*d**3 - 28*d**2 - 108*d - 6. Determine n(4).\nAnswer: 522","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 534*t - 475*t + 1652 for t.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -82367*y**2 + 82367*y**2 - 1282*y**3 - 918*y**3.\nAnswer: -2200*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -26.6 + -41.4. Let q = 54 + z. Which is the second smallest value? (a) -0.1 (b) 1 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 9, s: 8, f: 2}. What is prob of picking 2 f?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 40, 107, 236, 457, 800, 1295, 1972, 2861?\n\"Answer: 5*q**3 + q**2 + 29*q + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*c**4*j**2 + 29988*c**3*j**3 - 6950*c**2*j - 3*j**3 wrt c.\nAnswer: -48*c*j**2 + 179928*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -2*i**2. Let g(a) be the second derivative of -a**5\/10 + a**2\/2 + 3*a. Let o be 3 + 1*1*-2. Let w be g(o). Calculate s(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -70*c**3 - 55. Let a(f) = 5*f**3 + 4. What is -55*a(l) - 4*r(l)?\nAnswer: 5*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/(-16)*(-6)\/18?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10*g + 416 with respect to g.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 6, -3\/5, 5, 0.083, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*k + 111 = 83 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15, 2, -37, -114, -241, -430, -693?\nAnswer: -1042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -12 + (-5 - -4) - (-86 - -99) - 2\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Does 405 divide 11207565?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*k + 3*k + k + (5 - 2*k - 5)*(-4 - 1 + 3) - 2 + 13*k + 2.\nAnswer: 16*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12272254*m**3 - 3*m**2 + 3*m - 173 wrt m?\nAnswer: -73633524","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4198745 divided by -49397.\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4579237703.\nAnswer: 131, 34956013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 258 at most 3338\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17\/((-1190)\/(-392))*((-220)\/6)\/(-22).\nAnswer: 28\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2049166?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:28 PM and 11:47 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*19\nAnswer: 5.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -34480.606?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-55)\/50 + (-3)\/(-5))*-4. Suppose -847 - 859 = -u*i. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 458 is divided by 150.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -23*f**2 + 388*f - 27. Calculate s(17).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*v + 8 = 30*v. Let q(c) = c**3 + 5*c**2 - c - 6. Let s be q(-5). Is v greater than or equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15 - -17. Suppose -3*z + 10 = g*z. Solve -z*y - 3*y = -20 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -19350042, -19349993, -19349944, -19349895, -19349846, -19349797?\n\"Answer: 49*h - 19350091","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 21 and 75?\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-16 - (23 + -12 + (-6 - 11))) + 8\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -200\/1539 - -2\/81. Sort 2\/13, w, 1\/2 in increasing order.\nAnswer: w, 2\/13, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 693.7 - 765. Let o = j - -71. Let q = -18 - -18. Which is the closest to q? (a) -1\/7 (b) 0.06 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1539) + (sqrt(1539)*1 + -4)**2 - (-3 + sqrt(1539) - sqrt(1539) - sqrt(1539))**2*3)*6.\nAnswer: -18534 - 1350*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97 is divided by 0 - -3 - ((-70)\/2 + 5)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 6392, 11562, 16732, 21902, 27072?\n\"Answer: 5170*u + 1222","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2415 and 35?\nAnswer: 2415","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 18945 or 17216?\nAnswer: 17216","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7124, -14269, -21414, -28559?\nAnswer: -35704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 39 and 1047.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/117*(-9)\/(-18)*6.\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -33 + 2204?\nAnswer: 2141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -6 (b) -17095 (c) -2\/5 (d) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6521 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 4, z: 3}. What is prob of sequence zz?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kvkqkvvkkvcvvvgvkkk. Give prob of picking 1 q and 1 v.\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2551927 is divided by 2551915?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -483 and 0.6703.\nAnswer: -323.7549","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/1426 and (2\/2852)\/(3\/(-2) - (-824)\/608)?\nAnswer: 15686","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -274 (base 9) to base 7\nAnswer: -445","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, -122, -362, -744, -1286?\nAnswer: -2006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -15739404 + -50?\nAnswer: -15739454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -319 + 56. Let n(u) = -612*u + 3. Let q be n(-5). Let y = q + t. What is y rounded to the nearest one thousand?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 8*t + 8. Let x = 28 + -6. Let r = x - 12. Let k(p) = p + 1. Give r*k(n) - g(n).\nAnswer: 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.061 at most as big as -533\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -18? (a) -2\/27 (b) 1\/7 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*z = 48 + 72 for z.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*h**3\/7 - 1797*h**2\/7 + 3630*h\/7 + 14424\/7 = 0. Calculate h.\nAnswer: -601, -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 49913914811 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 799055 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.5, 0.06, 0.5, -0.3?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -372.63747 and -25.33207.\nAnswer: -397.96954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1423, -1410, -1397, -1384?\nAnswer: -1371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*q + h - 16, -4 = 3*q + h + 3*h for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 3\/5, -1267, -1, -0.4, 2, 1\/3?\nAnswer: -1267","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1464 is divided by 103?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28, -40, -52, -64, -76?\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 3*k. Let z(g) = g. Let y(n) = 4*n. Let s(l) = 5*y(l) - 15*z(l). Calculate f(s(d)).\nAnswer: 15*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/((v*v**(-23))\/v)*v**4*v*(v*v\/v**(-9))**47 assuming v is positive.\nAnswer: v**546","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 577*f - 196*f + 293*f.\nAnswer: 674*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102 = -k - 5*k. Solve 21 = k*b - 10*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0227802 litres in millilitres?\nAnswer: 22.7802","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the first derivative of -4\/3*z**3 - 24*z**2 - 80*z - 167. Factor v(h).\nAnswer: -4*(h + 2)*(h + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(42)\/(sqrt(6) + sqrt(66)\/sqrt(11) - sqrt(6)) + 3.\nAnswer: sqrt(7) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -2*v**2 + 27*v - 6. Let b(i) = -4*i**2 + 55*i - 13. Give -13*a(p) + 6*b(p).\nAnswer: 2*p**2 - 21*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j - 1. Let l = -3152 + 3212. Let d(r) = 9*r + 12. Calculate l*s(w) + 5*d(w).\nAnswer: -15*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*140\/(-56)*(-3)\/(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 152577 and 169530.\nAnswer: 1525770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -321792 < -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the second derivative of 0*m**6 + 5 - 5*m + 61\/6*m**3 - 1\/42*m**7 + 0*m**5 + 0*m**2 + 1\/12*m**4. What is the second derivative of w(j) wrt j?\nAnswer: -20*j**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-9))\/((-5)\/60)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 - (-33 + (33 - -15))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1252 - 1253 + 2505 - 1702*c)*(3 - 4 - 2)*(2*c**4 + 3*c**2 - 3*c**2).\nAnswer: 10212*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -38 - 12*j + 93 + 5*j + 4*j to q*j + f and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3cb (base 13) to base 14.\nAnswer: -362","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 2*s**3 - 4*s**2 + 2*s. Let r be b(2). Suppose r*k = 3*l - 116, -12*l + 8*l - 2*k = -184. Solve -19 = -5*z - l for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*w = 22*w + 475. Suppose -3*p - w = -1061. What are the prime factors of p?\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7 and 91?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1\/5)*o**(-2))**(-23) assuming o is positive.\nAnswer: o**(253\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q - 0*q + 8, t + 3*q - 14 = 0. Is t a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*s = 31 - 983 for s.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -54 + 53.99999724. What is d rounded to seven decimal places?\nAnswer: -0.0000028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 868 and 1253.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -14181490? (a) 4\/3 (b) -2\/5 (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -7*l**2 - 148*l - 26. Let u be m(-21). Sort -1, 5, u.\nAnswer: u, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 26906551 and 50617.\nAnswer: 7231","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -2*x. Let u(p) = 1221401*p**2. What is d(u(h))?\nAnswer: -2442802*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand i**3 + 3*i**3 - 6*i**3 + (-2*i + 3 - 3)*(3*i + i**2 - 3*i) + 5*i**2 - 2*i**3 - 5*i**2 + 39*i + 4 + 2*i**3 + 3 - 40*i + (-4*i + i + i)*(-3 + 3 - i**2).\nAnswer: -2*i**3 - i + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**2 - 12*m - 11. Suppose 0 = p + 4*p + 40. List the prime factors of j(p).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 23582*r - 650. Let y(n) = -1072*n + 30. Determine 3*l(u) + 65*y(u).\nAnswer: 1066*u","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1262 + -453b?\nAnswer: -57a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*j**3 - 4*j**3 - 3*j**3)*(2*j - 2*j + j)*(-14 + 22 + 21).\nAnswer: -58*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in twenty-seven quarters of a millennium?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 2*b. Let u be i(3). Suppose 0 = n - v, 2*n - 4*v = -u*v + 12. What is the tens digit of (-34)\/(-4)*(n - -3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 8\/(40\/(-15)) + 1800\/15. What is the greatest common factor of 221 and n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 - -18b906?\nAnswer: 18b902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5051 + 3501*w**2 - 3509*w**2 + 5051.\nAnswer: -8*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 + 2. Factor -3*x + 6 - x + 0*x**2 - 6*x**a + 4*x**2.\nAnswer: -2*(x - 1)*(x + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - 8 = 2*j. Let b(i) be the first derivative of 2*i**3 - 3 + 2\/5*i**5 + 0*i - i**j - 3\/2*i**4. Factor b(f).\nAnswer: 2*f*(f - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the third derivative of v**4\/12 + v**2. What is z(-3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 + -20102?\nAnswer: -20112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4*8\/(-96)*-9. Suppose -2*q - k = -3*o - 1, 4*q - 32 = -3*o. Solve -2*j - q - 3 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -66 - 31772*m + 8*m**2 + 31772*m as d*m + k + i*m**2 and give i.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/90*9)\/((5\/(-2))\/(-5))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**2 - 5*o + 3. Let q(i) = 3*i - 2. Let m = 8 - 5. Let t be q(m). What is the remainder when 49 is divided by b(t)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7, 18, 33, 58, 99, 162, 253?\nAnswer: 378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -23691697*t**4 - 20126657*t**2.\nAnswer: -568600728*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b when three letters picked without replacement from {r: 8, b: 3, f: 6}?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 6, u: 4}. What is prob of sequence bbu?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3049018 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1149 - -1149. Which is the fourth biggest value? (a) u (b) -4 (c) 2 (d) -8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 + 12. Suppose -3*b + v*b = 8. Solve 2*y + b*k = k - 15, -5*y - 12 = -k for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 878272.\nAnswer: 2, 13723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1142360 divided by 4\nAnswer: 285590","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 475*l**3 + 761*l**3 - 93*l**3 + 233*l**3 + 185*l**3.\nAnswer: 1561*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the second derivative of 0*g**6 + 0*g**4 + 0*g**2 - 1\/14*g**7 + 0*g**5 + 20*g + 0 + 2\/3*g**3. Find the second derivative of w(v) wrt v.\nAnswer: -60*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -68 + 96. Suppose -3*s + m = -8. Calculate the highest common factor of s and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001921954 rounded to 6 decimal places?\nAnswer: 0.001922","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 74 - 49. Calculate the remainder when 46 is divided by v.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 4 + 3*f + 8*f in the form u*f + z and give u.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.09898 from 1441219638.\nAnswer: 1441219637.90102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 - 11*o**2 - 10*o + 4. Let b be a(-10). Let h be b\/(-10) + 44\/10. Suppose 9 = h*q - 2*d - 35, 2*q + 2*d - 28 = 0. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 1 = g, -4*h + 3*h + 4 = 2*g for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sussulwlsllss. Give prob of picking 2 l.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-30)\/(-315) - (-1)\/(7\/4). What is the nearest to d in 1\/2, -0.2, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -58\/7, -2\/9, 0.4, 1 in increasing order.\nAnswer: -58\/7, -2\/9, 0.4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -37431, -37468, -37495, -37506, -37495, -37456, -37383?\n\"Answer: s**3 - s**2 - 41*s - 37390","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (2*(2 + 1 + sqrt(133)\/sqrt(7) + sqrt(19)) - (2 + (sqrt(171) + 1 + 1)**2)).\nAnswer: -170 - 8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**3 + 3*h**2 + h - 6. Determine u(-3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 12880000 rounded to the nearest one million?\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w**(-3\/7)*w)**(-31)*w**(-2\/5)\/(w**(-10)\/w))**(-38))**(-1) assuming w is positive.\nAnswer: w**(-50692\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yb when two letters picked without replacement from {b: 1, y: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 334*n - 330. Let v be d(1). Solve f - b - v = 0, 4*f - 2*b = 3*b + 17 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l**3 + l**3 + 4*l**3)*(5 + 4 - 4)*(-2 + 2 - 3).\nAnswer: -45*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/4? (a) 0.07 (b) -3 (c) 16 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 5*y - y - 4*u, 3*u = -5*y - 31. Let t(n) = n - 6*n**2 + 7*n**2 + 5*n. Let z be t(y). Let d(x) = -x**3 - 5*x**2 - 2*x - 1. What is d(z)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15 and 1554804.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 take away 6?\nAnswer: 685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 10*h - 50. Let l be i(5). Suppose 256*y - 261*y - 35 = l. Let k(a) = -10*a - 54. Let m(s) = 2*s + 11. Let b(z) = 3*k(z) + 14*m(z). Calculate b(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3954.89 or 1\/3?\nAnswer: -3954.89","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 492 - 495. Let a(n) = 3*n - 3. Let g(l) = 4*l - 3. Calculate u*a(h) + 2*g(h).\nAnswer: -h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 149325454 is divided by 1458?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54167 is divided by 7727.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 2 = 4*k, 11*k - 3*o + 6 = 7*k. Solve 38*i - 4*l = 41*i + 17, k = -3*i + 4*l + 47 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1224152*-0.48\nAnswer: -587592.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (245*n**3 + 271*n**3 - 173*n**3)*(-3 + 7 - 9).\nAnswer: -1715*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 44? (a) 0.1 (b) -2\/5 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + 6. Let w(z) = -z**2 + 8*z - 9. Let s be w(x). Solve -4*n - s = 5*v + 3, -5*n + 2*v = 24 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 2*z**2. Let h be (108\/135)\/((-1)\/(-5)). Let s(n) = -n - h*n - 4*n - 3*n. Give j(s(p)).\nAnswer: 288*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(56)\/sqrt(4))\/sqrt(7))**2*-1 - (-2 + -4*(sqrt(18) + 4)).\nAnswer: 12*sqrt(2) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -407 times -1968\nAnswer: 800976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 - -16. Let b = l + -4. Let x = b - 8. Solve 3*c + 2 = 2*f + c, -3*f + c - x = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 1777560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 - -6. Suppose -11 = -m + h. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:56 AM and 4:27 PM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2\/5))**(-4\/23)\/((p**3*p)\/p**(2\/15)) assuming p is positive.\nAnswer: p**(-262\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*g**3 - 11820*g**2 + 3*g**3 + 11820*g**2.\nAnswer: 3*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 3 (b) 0.04335 (c) -2 (d) 7 (e) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*r + 727625 - 2643861 = 0. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -24.999 + 25.499. Let g = -0.9 - -0.6. What is the third smallest value in l, -4, g?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - 19 = 5*a - 81, 5*a = -17*w + 116 for a.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 57\/216580 and 62\/94807895.\nAnswer: 379231580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -27769 + 27771. Solve -4*c + n*i + 10 = -10, 4*c - 12 = 4*i for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**(1\/2))\/n)\/(n*n**(2\/77)) assuming n is positive.\nAnswer: n**(-235\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 47*u**2 - 47*u - 47. Let k(g) = g + 1. Give 47*k(y) + m(y).\nAnswer: 47*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-4)\/(-7) - (-124704)\/63?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11786869 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**2 - 2*i + 1. Determine t(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 - 6.2. Let b = n + -1.3. Let q = 0 - 0. What is the closest to q in 0.1, -1, b?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19233?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -265853 - 319947. Round q to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 74\/14 - 26\/91. Suppose 3*v + 2*v + 105 = o*n, -4*v = 3*n - 49. Suppose n - 3 = b. What is the least common multiple of 7 and b?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9.41 to one decimal place.\nAnswer: -9.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0, 3, -4, -368, -5.7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11 and 3.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -407*r + 814*r - 408*r + 161.\nAnswer: -r + 161","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -22*c - 168. Let l(z) = 10*z + 77. Let s(w) = 13*l(w) + 6*p(w). Let k = -1 - -6. Suppose -2*u + u = k. Determine s(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2\/7 - 757504*u\/7 + 17423650\/7.\nAnswer: -2*(u - 23)*(u + 378775)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 148786?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 1 = 66. What is the greatest common divisor of 104 and k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 440008*d - 203789*d + 270436*d + 328761*d.\nAnswer: 835416*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -46.0878196 - 65.94.\nAnswer: -112.0278196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-8)\/22*(-186)\/(-24) and -14\/3.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -2*p**2 - 203*p - 1. Let l(c) = -2*c. Give s(l(r)).\nAnswer: -8*r**2 + 406*r - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -264, -264, -254, -228, -180?\n\"Answer: w**3 - w**2 - 4*w - 260","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 - 4 - -9 - (-633 + 1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 144\/(-192)*3\/(9\/2)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -282*u + 15004 = -149*u + 549*u for u.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 2149, -1\/6 in decreasing order.\nAnswer: 2149, -1\/6, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/3, 12994, -5, -5\/6?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1)\/1)\/(-1 + (-2)\/(-3)). Differentiate -9*j**3 - 17*j**3 + 23*j**3 + 27 - 10*j**z wrt j.\nAnswer: -39*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 460, 1805, 4034, 7147, 11144?\n\"Answer: 442*o**2 + 19*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5.6 - -6. Let i = 0.19 + 0.01. Which is the smallest value? (a) 3 (b) i (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/2 - (-66)\/(-4). What is the tens digit of (a + -3)\/4*-2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*j**4 + 211*j**3 - 59*j**2 + 260 wrt j?\nAnswer: -168*j + 1266","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (477\/(-1590))\/(4\/(-14) + 276\/525). What is the closest to 1 in -13\/8, 1\/7, -5, c?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*b - 21300 = 6*b. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 2*n**3 - n**2 - n + 5. Let o(p) = 6*p**3 + 14*p**2 + 2*p - 15. Let b(l) = -3*j(l) - o(l). Factor b(x).\nAnswer: -x*(x + 1)*(12*x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 354 = -118*x - 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 163\/882 and -95\/6342?\nAnswer: 133182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 5261 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3\/5, -4, -1.6?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 294, 266, 164, -60, -454, -1066, -1944?\n\"Answer: -8*f**3 + 11*f**2 - 5*f + 296","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/(-75)*-3)\/((-2)\/(-20))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-2)*-4*(-3)\/16?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**3*(k**13*k)\/k*k**7*(k*k**14\/k)\/k assuming k is positive.\nAnswer: k**36","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 450*y**3 + 2*y**2 - 444*y wrt y.\nAnswer: 2700","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ktrrrrrktrvptpvp. What is prob of sequence rkrt?\nAnswer: 3\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 229\/1830 - -1\/122. Let p be ((-24)\/30)\/(2\/5). What is the third smallest value in -3\/4, p, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 88 divide 41892258?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 1 = -5*d, 7*g = -4*d + 11*g + 4 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**3 - d**2 - 7*d + 5. Calculate m(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 2*n**2 - n - 1. Let z(o) = 8*o**2 + 97*o + 1247. Let u(g) = 3*i(g) - z(g). Factor u(c).\nAnswer: -2*(c + 25)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 10 = v. Suppose -14 = -2*f + 5*m + 21, 26 = 2*f - v*m. Let s be 25\/9 + f\/45. Solve -j + 2*j - s = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ngvn when four letters picked without replacement from {n: 2, v: 3, b: 1, d: 10, g: 1}.\nAnswer: 1\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 71 and 96.\nAnswer: 6816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17 is divided by 15.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 97815?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**3 + 29*o**2 - 50*o - 105. Let x be y(27). Suppose -3*w + 1 = 7. Let l be (-1 - w)\/(x\/21). Do l and 5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.34 + 0.06. Let k = -0.66 - -0.06. Let w = a - k. Sort 5, w, -1.\nAnswer: -1, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15689 - 8190. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkxmmxnxmxxxkxnxhhx. What is prob of sequence xm?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -16126 (base 11) to base 9\nAnswer: -34216","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.46 + -4.36. Which is greater: 0.1681 or x?\nAnswer: 0.1681","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 12 = 2*a. Calculate the remainder when 791 is divided by a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.4 - -8.4. Let l = -8.4 + z. What is the second biggest value in -0.5, -0.3, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -234779376 divided by -26104.\nAnswer: 8994","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 61*c**3*f**2*x**2 - 8*c**3*f*x**2 - 5*c**3*x**2 + 5*c**2*x + 17*c*x**2 + 311*f**2*x**2 + 4*f**2*x + f*x wrt f.\nAnswer: 122*c**3*x**2 + 622*x**2 + 8*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-70)*1386\/594?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 16960 + -2a88?\nAnswer: 13983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 16\/39105 and 64\/258093.\nAnswer: 1290465","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 462 and 276892.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 4 (b) -617 (c) -5 (d) 1\/6 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 373 divide 3869480?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 137631 and 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4711856?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 9604038*j**3*q**3 + 3*j**3 - 14694*j**2 + j + 5 wrt q?\nAnswer: 28812114*j**3*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*c**5 - c**3 + c**3 + (-2*c**2 + 2*c**2 + 9*c**4)*(-3*c + 5*c + c) + (-3*c**2 - c + c)*(-5*c**3 - 2*c**3 + 5*c**3) + 2*c**4 - c**5 - 2*c**4.\nAnswer: 34*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 193131876 and 420?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are -12\/437815 and 2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 18 + 1 = -3*p, 2*p - 34 = 5*k. Suppose -p*f + 9 = -26. Let q be ((-2)\/6 + 0)*(-60)\/f. Solve -q*l - 8 = -12 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 56 and 644.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*f**2 + f + 5*f**2 - 21 - 2*f**4 - 6*f + 4*f in the form m*f + r*f**4 + i*f**2 + b + p*f**3 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(2\/3))**(-3\/2))**(2\/5) assuming f is positive.\nAnswer: f**(-2\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**2 - 3*m - 6. Let q be j(6). Suppose 2*g + 4 = 6*g + 2*z, 0 = 3*g - 3*z - q. Is -0.1 at most as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -23\/3 (b) -0.08 (c) 2 (d) -0.01\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:35 AM and 8:38 AM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/27642 and 41\/66?\nAnswer: 304062","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a kilometer in centimeters?\nAnswer: 20000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 110553844 to the nearest integer?\nAnswer: 10514","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 144 + -142. Find the first derivative of v**2 - 30 + j*v**2 + 3*v**2 - 4*v**3 wrt v.\nAnswer: -12*v**2 + 12*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + 19 + 97. Which is greater: 28 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -594 - -610. Suppose 5*h + 81 = 386. What is the remainder when h is divided by w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 290 is divided by 278.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 74*r + 21. Let x(c) = -11*c**2 - 2. Calculate x(y(t)).\nAnswer: -60236*t**2 - 34188*t - 4853","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -32, -27, 8, -2, 1 in descending order.\nAnswer: 8, 3, 1, -2, -27, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -2008*m**2 + 502*m - 251. Let u(p) = -8*p**2 - 2*p + 1. Determine -251*u(b) - z(b).\nAnswer: 4016*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1302 - 12392 - 27531 + 2350 - 6341)*(-n - 5*n + 5*n).\nAnswer: 45216*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 3971 = -6441. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 7181604 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1707.\nAnswer: 3, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -96592448379 + 96592448379 - 12*v.\nAnswer: -12*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 - 7)*(-5 + 7). List the prime factors of u\/(-1*2) - 1.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 48\/88*(-57)\/114.\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 14*((-36)\/(-20)*-1)\/((-10962)\/10440)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -3 + 23 - 3*u + 8*u**3 - 4 - 9 - 2*u**2. Let r be c(2). Calculate the greatest common divisor of r and 95.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 82386818?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 9, r: 3, c: 4}. Give prob of picking 4 c.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**2 + z + 46. Determine r(0).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 27?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-50)\/20 - 14\/(-32). Which is smaller: -2 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) 1\/162 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 67.2 - 67. What is the nearest to 0.1 in -0.5, 31, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12848, 17692, 22536, 27380, 32224, 37068?\nAnswer: 41912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a millennium in months?\nAnswer: 50400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -74*i**3*t**2 + 79589860*i**3 + i*t**2 + 187307*t wrt t?\nAnswer: -148*i**3*t + 2*i*t + 187307","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1507*g**5 - 2194*g**2 wrt g?\nAnswer: 90420*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -2\/1375?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the first derivative of -1\/2*p**4 - 59*p - 26 - 2*p**3 + 0*p**2. Find the first derivative of j(y) wrt y.\nAnswer: -6*y**2 - 12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4653 divided by 3\nAnswer: -1551","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the first derivative of 163790*s**3\/3 + s**2 + s + 3. Let f be h(3). Suppose f = 3*j + 4114117. Round j to the nearest one hundred thousand.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 5*f - 5. Let x(p) = p - 1. Determine 6*x(i) - y(i).\nAnswer: i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1746 + -1736. Which is the second biggest value? (a) h (b) -2\/3 (c) 0.4 (d) 1 (e) 0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, f: 4, u: 2, r: 4}. Give prob of sequence uyy.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r + 0 + 0)*(2*r + 2 - 2) + 0*r - 9*r**2 - 2*r + 7*r**2.\nAnswer: 2*r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f = -5*v, -5*v - 3*f = -11 + 1 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**2 - 2. Let w be n(-2). Suppose -w*s - 20 = -4*s. Is s\/15 + 86\/6 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes after 1:16 AM?\nAnswer: 5:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**2. Let g(y) = y**3 + 7*y**2 + y + 3. Let t be g(-7). Let q = 6 + t. Let v(r) = -r**q + 2*r**2 + r**2. Give v(m(n)).\nAnswer: 2*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7231 is divided by 717?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**2. Let g(i) = -1666 + 832 - 11*i**2 + 834 + 80*i**2. What is g(x(z))?\nAnswer: 69*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 135537582.\nAnswer: 2, 3, 421, 53657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 425*x + 436*x = 4968 + 3054 + 9198 for x.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 4*p - 13. Let w(j) = j - 4. Let t = -3 - -5. What is t*r(h) - 7*w(h)?\nAnswer: h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/(-2) - (0 - -7). Let t be ((-20)\/(-6))\/((-6)\/r). Suppose -p = 4*o + 10, 0 = 2*p - p + 3*o + t. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 129503?\nAnswer: 11, 61, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 11\/5, 0.4, 0.1, 3 in ascending order.\nAnswer: 0.1, 0.4, 11\/5, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -431 divided by -70\nAnswer: 431\/70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 182 (b) 1\/5 (c) 0 (d) -3 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 167194343.\nAnswer: 139, 1202837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -225*d + 10474 = 3724 for d.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -7*v. Let h(o) = -15*o. Suppose -6*j + 18 = -3*j. Let s(n) = 43*n. Let p(x) = j*s(x) + 17*h(x). Determine y(p(c)).\nAnswer: -21*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32, 82, 136, 194, 256, 322, 392?\nAnswer: 466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -199.8781 and 0.2.\nAnswer: -39.97562","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 o, and 1 j when three letters picked without replacement from {r: 2, i: 1, j: 1, l: 3, o: 7}.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98 = -31*f + 422 + 55 + 386 for f.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (113 - 135) + (-38 - -25).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ub when two letters picked without replacement from bubuuuuubuuuuuu?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n - 2*n + n + (n + 2 - 2)*(-2 + 3 - 3) + n + 0*n - 3*n)*(1239 + 1083 + 237 - 658).\nAnswer: -11406*n","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -17.6 (b) 3 (c) -26 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/14*(-348)\/87*(-14)\/54. Which is the closest to 34? (a) 1 (b) -5 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 4, b: 3, d: 1, k: 5, r: 1}. Give prob of sequence aabr.\nAnswer: 3\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*d**3 + 122*d**2 - 381*d**2 + 128*d**2 + 131*d**2.\nAnswer: -23*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 391 + -390. Let p(b) = b. Let c(n) be the second derivative of 2*n**3\/3 - n**2 - 3*n. Calculate g*c(v) - 2*p(v).\nAnswer: 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -67224217 (base 8) in base 10?\nAnswer: -14493839","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 191 - 122. Suppose -9*a + 294 = g. What is the second derivative of 3*i**2 - 4*i - a*i**5 - 3*i**2 + 21*i wrt i?\nAnswer: -500*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6552 divided by 4.\nAnswer: 1638","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -16*w**4 + w**3 - 23*w**2 - 28*w + 2028785.\nAnswer: -64*w**3 + 3*w**2 - 46*w - 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -82*b**2 + 1. Let y be o(1). Let l = y + 136. Is l a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1377191.\nAnswer: 1377191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l = -2*l + 15. Let m be (60\/14)\/(l\/(-21)). Suppose -4*v + 300 = 16*v. Calculate the highest common divisor of m and v.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -29524 + 34754. Calculate the greatest common factor of x and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 190 divide 43833?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -5bf07 (base 16) to base 9\nAnswer: -633515","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 880 + -776?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.13 and -29178.1?\nAnswer: 3793.153","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -3*w - 3. Let y be k(-5). Suppose 0*g - y = 3*g. What is the lowest common multiple of 10 and g\/(-10) - 294\/(-15)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.1 + -0.1. Let v = 0 - x. Let n = -82.3 - -83.3. What is the smallest value in v, n, 3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -317*x + 317*x - 33*x**3 - 9*x**3 - 74 wrt x.\nAnswer: -126*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -23868 + 43729. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(136)*3)\/sqrt(8).\nAnswer: 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -3*u + 237, 5*u + h = 2*u + 241. Find the common denominator of -67\/4 and u\/(-198) - -4 - (-4)\/18.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/(t*t*t**(-1\/5))*t**(-5)*(t**2)**(1\/7) assuming t is positive.\nAnswer: t**(-193\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 164 and 40?\nAnswer: 1640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/9*(-3)\/(-10)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**2 - 16*d - 13. Let o be j(-15). Solve b + o*b = 6 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 990, 361, -330, -1077, -1874, -2715?\n\"Answer: r**3 - 37*r**2 - 525*r + 1551","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8953 + -8951. Solve 5*n - b*g = -3*g - 1, 0 = -5*n + g - 9 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:48 PM and 2:06 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4\/30 + (-11433325)\/4875*-13?\nAnswer: 3, 10163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1561.1 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -70 + 99 - (-1 + 19).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*h + 0*h - h**3 + (0 - h**2 + 0)*(-h + 3*h - h) to w*h + l + t*h**3 + b*h**2 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -132 = 330*w + 149 + 49 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10012029?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 21365347 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 295, 327, 405, 553, 795, 1155?\n\"Answer: 4*z**3 - z**2 + 7*z + 285","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 446995472 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1749779 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/3974 and (-3)\/(-45)*99\/(-22).\nAnswer: 19870","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, -15, 3\/4, 1\/3 in increasing order.\nAnswer: -18, -15, 1\/3, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -598, -597, -596, -595?\n\"Answer: t - 599","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -5+-27213\nAnswer: -27218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 2*p + 38. Let q be i(-7). What is the tens digit of (-1)\/((q\/96)\/(427\/(-4)))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(-2\/7))\/(k\/((k*k\/k**(-5)*k*k)\/k)*k)*k\/((k**15\/k*k)\/k)*k**(2\/9)\/k assuming k is positive.\nAnswer: k**(-409\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 4*g = 3*m + 25, 2*g - 3*m = -17. Let p(z) = -2*z - 14. Let f be p(g). Is f at least as big as -0.07?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4558*m - m**2 + 34*m**3 - 4*m**4 + 4396*m - 179*m + 9*m**4 wrt m.\nAnswer: 60*m**2 + 204*m - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, g: 3, t: 2, l: 2, q: 4, c: 3}. Give prob of picking 2 g and 1 c.\nAnswer: 9\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 5*p - 25, -2*a + 1 = 11. Suppose 5*h - 2*z + 5*z + 41 = 0, 3*h = 4*z - 13. Let i = 8 + h. Calculate the greatest common divisor of i and p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**27*q\/q**5 assuming q is positive.\nAnswer: q**23","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -72, -141, -210, -279, -348?\n\"Answer: -69*h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 - (78 - (9 + 30) - 12).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 35639038 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: What is the ten thousands digit of 10116?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/3)\/((-102)\/(-153)) + 19\/(-46)?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 3*q**2 + 45*q - 97. Let k be z(2). Let x(n) = 20*n - 95. What is x(k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 5*w + 3, 0*w = w + 3*n + 9. Suppose 2*d + 16 = 5*k, 2*k + 3*d + 5 = -0. Suppose 0 = 911*x - 913*x + 10. Solve z - x + k = w for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6421 - -6417. Sort 4, -86, c, -1\/2 in ascending order.\nAnswer: -86, c, -1\/2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 629764 divided by 4.\nAnswer: 157441","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 2*q - 8967*o + 78 = -8971*o, q - 35 = o for q.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 11) to base 5\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 60998 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3\/(-2))\/(12\/(-32)). Suppose -k*r - 11 = 3*p, -2*r - 2*r = 20. Is 6*(-3 - (-19)\/p) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -213240 (base 5) in base 8?\nAnswer: -16230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 121 + -112?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, o: 1, x: 3}. What is prob of picking 2 x?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5.23*5.433.\nAnswer: -28.41459","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 9 - (1 - -2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 364074480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(-1\/15))\/(w**(-5\/4)*w)*(w*w**(1\/25))**28 assuming w is positive.\nAnswer: w**(9131\/300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**3\/5 + 448908*w**2 + 83977218435*w + 4197738726750.\nAnswer: 3*(w + 50)*(w + 374065)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the third derivative of 1\/3*f**3 - 1\/24*f**4 + 0 + 0*f + 2*f**2. Is v(0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h = -0*h + 186. Suppose 2 + h = 3*r. Let s = 65 - 44. What is the remainder when s is divided by r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2260 and 1220.\nAnswer: 137860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/6*(-36)\/8. Suppose -a*x = 2*x - 5. Let k(c) = -3*c + 10. Let r be k(3). Is x less than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(-4)*310\/1240.\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - n - 19, 7*o - 2*o - 17 = -2*n. Suppose -r = -0*r - 2. Let i(h) = o - r + 0 + 3*h. Let f(z) = z + 1. What is 4*f(a) - i(a)?\nAnswer: a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (-6 + (8 - 3))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2310 and 369878670?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(3\/(-117)*1). Suppose -24 + 69 = -4*i + f, -w = 3*i + f. Is 9 a factor of 12*(-2 - 33\/i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10055 + 14302. Let l = -6901 + k. Let n = -1669 - l. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:59 PM and 6:16 PM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 150 and 475020?\nAnswer: 2375100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42 + 5*i + 19 + 23.\nAnswer: 5*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**3 - 5*p**2 - 4*p - 5. Let u be v(6). Let k = 8 + -7. What is the greatest common factor of k and u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 15412*n**3 - 5713 wrt n?\nAnswer: 46236*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 606237 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -124 or -96?\nAnswer: -124","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -125\/110526 and -105\/4826302.\nAnswer: 14478906","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5*v**2 - 11*v**2 - 2*v - 13 + 2*v wrt v?\nAnswer: -32*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**3\/9 + 90566*b**2\/9 + 341773442*b\/3 + 113914418.\nAnswer: 2*(b + 1)*(b + 22641)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/240 and -173\/900?\nAnswer: 3600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 + 4*j**2 - 3*j - 9. Let q be k(-4). Suppose -5*b - 5286 = -2*s, 2*s - q*b - 5270 = -2*b. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 363\/5 - 73. Sort l, 1\/5, -2\/21.\nAnswer: l, -2\/21, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**3 + 3*i**2 - 5*i - 6. Let t be v(-2). Solve -3*y - t*b - 18 = -5*b, 4*b + 15 = 5*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -133425 + 13075535\/98. Calculate the common denominator of -151\/42 and j.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14728015?\nAnswer: 5, 107, 27529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5187\/(-1092) + (1 + 0)*5. Which is the closest to 1? (a) 4\/7 (b) v (c) 3\/5 (d) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/13 or 4076158?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(3\/5)\/(i**(-5\/2)\/i))**(24\/7) assuming i is positive.\nAnswer: i**(492\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 2975*j**3 + 16*j**2 - 4*j + 4. Let h(n) = 2976*n**3 + 20*n**2 - 5*n + 5. Calculate -5*a(g) + 4*h(g).\nAnswer: -2971*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 19754 divided by 2?\nAnswer: 9877","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g + 4. Let w(p) = p**3 + 5*p**2 + 4*p + 4. Let i be w(-4). Let x be y(i). Suppose -2*m + m + 22 = x. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 0*t = 5*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11\/(-22)*(-6)\/(-8)*2.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is g in g**5\/3 - 7373*g**4\/3 + 15523811*g**3\/3 - 10178405983*g**2\/3 + 53296334480*g - 211870689600 = 0?\nAnswer: 8, 1515, 4327","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/40 and -3\/3202945?\nAnswer: 25623560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 14*((-180)\/(-21))\/2. Let n = g + -45. Calculate the smallest common multiple of n and 1.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(243) - ((-2 + sqrt(243) - sqrt(243))**2 + sqrt(243))) + -1) - ((sqrt(72)\/sqrt(432))\/sqrt(2)*-1)**2.\nAnswer: -121\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -37*c + 1. Let w be t(-3). Suppose u = -3*u + w. Suppose -u = -d + 41. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*r**2 - 4*r**2 + 5*r**2)*(5*r - r - 5*r)*(r**2 - 2*r**2 - r**2).\nAnswer: -6*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1461893 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*s - 12 = -z + 110, -4*s - 3*z + 31 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-112)\/(-32))\/7)\/((6\/(-1))\/(-180)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 45.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - (-2 - 0)) + 60 + -70?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -834, -10 in decreasing order.\nAnswer: 4, -10, -834","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-4)*z**4*z*((z*z*z*((z*z**(-1))\/z*z)\/z*z)\/z*z*z)**(-2\/61))**(-5\/7) assuming z is positive.\nAnswer: z**(-265\/427)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 22 - 42?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2\/5, 0, 632?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 212.25333+218\nAnswer: 430.25333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 441 is divided by 89?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 2*v + 17 = 0, 7*h + 26 = 9*h - 5*v for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*l + 102 = 20*l. What is the derivative of -13 - 33 - l*f + 40 - 14 wrt f?\nAnswer: -34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(1100)*-2)**2 + 0 + (sqrt(1100) - (-3 + (sqrt(1100) - sqrt(1100)*1))) + (-1 + sqrt(1100))**2 + sqrt(1100) + 1.\nAnswer: -12095","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add together 22.1 and 718375512548.\nAnswer: 718375512570.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 18*m**2 + 29 - 3*m**2 - 10*m**2 as v*m + h*m**2 + t and give h.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -7 times 46\nAnswer: -322","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + (-48 - -1 - (-481 - -468))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/8 of a millennium in years?\nAnswer: 6375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 - 2 - (-16)\/2. Let j(h) be the first derivative of h**4\/24 - 2*h**3\/3 + h**2 - 3*h + 23. Let m(l) be the second derivative of j(l). Calculate m(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 49 and 35084.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4.5 + -4.69. Let g = -0.29 - a. What is the third biggest value in 5, g, 0.03?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 210601 is divided by 57.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 9157 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*p - 5 = -29 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 4*d - 450 + 438 = 0, 3*d = -5*v + 9. Let k(o) = o**2 + 5*o + 2. Let x be k(-5). Let j(g) = 3*g**2 - 3 - 2*g**x + 4 - g. Determine j(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(3\/2)\/l*l)\/l)\/l**(-2)*l**6\/l**3 assuming l is positive.\nAnswer: l**(11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g = 3*d - 183 + 193, -50 = 3*d + 4*g for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 3*k + 3 + (2 + 1 - 2)*(3*k - 9*k + 52*k).\nAnswer: 49*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -73574, -73570, -73552, -73514, -73450?\nAnswer: -73354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.915593 rounded to 2 dps?\nAnswer: 17.92","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 6*j**2 - 2*j - 2. Suppose -2 = 3*q + 7. Let s(g) = 5*g**2 - g - 2. Calculate q*n(w) + 4*s(w).\nAnswer: 2*w**2 + 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6664 - -11283. List the prime factors of t.\nAnswer: 31, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*h + 4 - 16, 4*b - h = -17 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**2 - 2*g - 6. Let z(u) = u + 4. Let w(f) = 3*h(f) + 5*z(f). Let q(t) = -t**2 + t - 1. Suppose -4*k + 7 + 1 = 0. Calculate k*q(s) + w(s).\nAnswer: s**2 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (4*1*sqrt(833)*-1 - 2*(-3*(4 + sqrt(833) + sqrt(833) + sqrt(833)) - sqrt(833))))**2.\nAnswer: 4704*sqrt(17) + 213689","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/6480 and 173\/1200.\nAnswer: 32400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -352\/5 - -70. Let q be -3 - 6\/(-1) - 4. What is the nearest to q in k, 3, 4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -70123 + -9.\nAnswer: -70132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**3 - l**2 - l. Let t be z(-1). Put -5, -8, t in ascending order.\nAnswer: -8, -5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-128)\/96*((-12)\/(-8)*3)\/11.\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/17, -0.03, 281, -7?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 24 = 4. Let v = -4 + o. What is the second smallest value in 0.2, v, 0.02?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 31932 and 4055364?\nAnswer: 4055364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**2 - 8*x - 21. Let r(v) = -2*v**2 - 18*v + 38. Let i be r(2). Calculate b(i).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -135 - 10?\nAnswer: -145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -3684 (base 9) in base 6?\nAnswer: -20421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 20*x**3 - 25*x**2 + 21*x**3 + 43*x**2 - 2*x**4 to the form u*x**4 + o*x**3 + y*x**2 + t*x + l and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 601 is divided by 12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*f - 42 = 18. Solve -24 = -f*b - 8 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*y + 3088 - 2962 = 0 for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -5*y**3 + 2*y**2 + 6*y + 10. What is the units digit of g(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14197627 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*y + 16*y - 117 = -63*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1, 184, -32 in descending order.\nAnswer: 184, 1, 0, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 207047 and 1875046?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 2 a when three letters picked without replacement from aaacvccv.\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -87 + 156*n + 981 - 287*n + 130*n to y*n + s and give s.\nAnswer: 894","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - 10 - (-5 - (-1 + 8))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -76*g**5 - 2*g**3 - 172*g wrt g?\nAnswer: -1520*g**3 - 12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1598?\nAnswer: 2, 17, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes after 9:51 AM?\nAnswer: 5:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**3 - 3*v**2 + 4*v - 4. Let i = 29 - 27. Let f be m(i). Solve 2*r + l = -12, f*r + 4*l = 4*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -9, 4, 4\/3, 0.13?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29 (base 16) to base 2.\nAnswer: 101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 4. Let k(u) = u - 11. Let y be 24\/(-96) + (-97)\/(-4). Let m be 1 + 2\/(-1) + y. Suppose -w - 4*p - p = -m, -w - 4 = -4*p. Determine w*o(h) + 3*k(h).\nAnswer: 3*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 531777?\nAnswer: -5\/531777","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 25616106?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*a + 3 - 3 + (-17*a + 11*a - 13*a)*(2 - 6 + 3) - 4*a + 3*a + 3*a + (5 + 1 - 5)*(0*a - 2*a + 4*a).\nAnswer: 26*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the first derivative of 27 + 18*t - 1\/36*t**3 + 1\/36*t**4 - 1\/12*t**2. Let q(u) be the first derivative of x(u). Factor q(v).\nAnswer: (v - 1)*(2*v + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 126 is divided by 32.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 13035848 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: Expand (5*g**3 - 2*g**3 - 4*g**3)*(-2*g - 15*g - 22*g - 2*g) - 6*g**4 + 6*g**4 - 19*g**4.\nAnswer: 22*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3582, -6369, -7582, -6435, -2142, 6083?\nAnswer: 19026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11100011010000 - -11?\nAnswer: 11100011010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -24, -45, -66, -87?\n\"Answer: -21*t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*c**2 + 8*c**2 - 126*c**2 in the form w*c + j + r*c**2 and give r.\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5947 is divided by 977.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 282 + 5?\nAnswer: 287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the second derivative of -49*x**4\/2 - x**3\/6 + 6*x. Let q be o(1). Let z = q + 549. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1847046201 to the power of 1\/2, to the nearest integer?\nAnswer: 42977","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -65*r**3*t**3 + 30*r**3 + 8*r**2 - 2*t**4 + 5 wrt t.\nAnswer: -195*r**3*t**2 - 8*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 3*p**2 - 223*p - 835. What is j(78)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - -6 - 1) + -1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15861*f**3 + 1192 + 15890*f**3 - 1192.\nAnswer: 29*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j*j**(1\/8)*j*j))**(-5))**(6\/7) assuming j is positive.\nAnswer: j**(255\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/(-14)*4 + 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 163263 = 63378. Is (3 + q\/5)\/2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26190340 is divided by 13?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, q: 2, d: 6, b: 1}. Give prob of picking 1 q and 1 d.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*h + 2*h + 14. Is (-22)\/11*(-165)\/h a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*n - 2*n - 8 + 8 to y + i*n and give i.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-27)\/6)\/3)\/((-11)\/(176\/(-336)))?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10594727537 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110200212 (base 3) to base 11.\nAnswer: 6a56","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 {s: 1, y: 3, j: 1, x: 2, c: 1, l: 5}?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 2616000.79 to the nearest 1000.\nAnswer: 2616000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -411876, -411878, -411890, -411918, -411968?\n\"Answer: -n**3 + n**2 + 2*n - 411878","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 249981 and 25956?\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-328)\/(-410)*(15\/(-34))\/(-3).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22 + 3*r**2 + 3 + 82 + 0*r**2 - 11 - 96.\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(528)\/sqrt(704))\/sqrt(2))\/(sqrt(96)\/sqrt(200)*-6))**2.\nAnswer: 25\/1152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 160030 and 429975990?\nAnswer: 12310","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -100, -38, 66, 212, 400?\nAnswer: 630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -200*a - 408*a + 48166 + 5034 = 92*a for a.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 4, l: 1, h: 2}. What is prob of sequence hlh?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/2*(-6)\/45. Let m = 3.6 + -7. Let w = m + 3.2. Sort z, w, 0.\nAnswer: w, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**3 + 3*g**2 - 3*g - 1. Let h be w(-4). Let z(c) = 4*c**3 - 3*c**3 - 2 + 6*c**2 + c**2 - c + 0*c**2. Is z(h) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 19092 and 14784?\nAnswer: 23521344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = -3*u + 7*u. Suppose -31 + 211 = 3*m. What is the greatest common factor of m and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(3\/7))\/(12\/(1224\/34)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*h + 67 - 13. Let z(p) = -p - 3. Let w be z(-4). Let q be (w\/h)\/(-4 - -5). Which is the smallest value? (a) 1 (b) q (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -841 + 4148\/5. Calculate the common denominator of 45\/4 and d.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 + -3f?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 - 1. Let f(j) = 2*j - 3. Let z be f(2). Let a be (z + -1)\/(-4 - -6). Solve 0 = -a*n + q*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 3, 3, 7, 15, 27, 43?\n\"Answer: 2*o**2 - 6*o + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 2*r**3 - 5 + 3*r**3 - 6 as o*r + z*r**3 + g*r**2 + l and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 1)*(41*n**2 - n**2 + 2*n**2).\nAnswer: -84*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = d - 3*h, -29*h + 33*h + 28 = 2*d. Solve 0 = 6*o + 4 + d for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 582851 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z - z + 4*z)*(-2*z**2 + 2*z - 2*z)*(14*z + 25*z - 50*z) - 13*z**3 - 3*z**4 + 2*z**2 + 13*z**3.\nAnswer: 19*z**4 + 2*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*l**2 + l**2 + l**2 + 4*l**2 - 5*l**2 + 0*l**2 + 1 - l**2 - 1 + (1 + 0 - 2)*(6*l**2 - 4*l**2 + 0*l**2) - 3*l**2 + l**2 + 4*l**2.\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 7246?\nAnswer: 1\/3623","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5817 = -140*m + 4691 - 2808 for m.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**3 + y**2 + y + 2. Let x be 1\/(2 - 4)*(-1 - -1). Calculate w(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 + 11. Suppose 2*h - 2*c = 12, -2*c - 3 = y. Solve h*b + 0 = -2 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(64) + -2*sqrt(64) - sqrt(64))*-1 - sqrt(64)*1*2)*-5)\/((-2*sqrt(80)*2)\/(-1*sqrt(40)\/sqrt(4))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 168, -8, -3, -344, -5 in descending order.\nAnswer: 168, -3, -5, -8, -344","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 4, n: 3, x: 5, j: 4}. Give prob of picking 3 j.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(76)\/sqrt(4) - (sqrt(171) - ((sqrt(171) - 3*sqrt(171) - sqrt(171)) + sqrt(171)))\/sqrt(9).\nAnswer: -2*sqrt(19) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 7 = 2*m - 11, 2*m = 3*k + 18. Solve l - 11 = -4*g - 8, -5*g + m = 3*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19 + -31. Let g(r) = -4*r**3 + 4*r**2 - 3*r + 1. Let l be g(3). Is (21\/n)\/(4\/l) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 95098095769 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5388 and -2.\nAnswer: -10776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 20 = -2*l + 2*s, 0 = -4*s - 16. Sort l, 4, -2 in ascending order.\nAnswer: -2, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9 * 15412.8.\nAnswer: -138715.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 222149*h - 62 + 62 - 222146*h.\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**2 + k - 1. Let o = -69 - -71. Let u(c) = -3*c**3 - 6 - 5*c**2 - c**o + 243*c - 237*c. Give u(t) - 6*z(t).\nAnswer: -3*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 h, and 2 x when four letters picked without replacement from ahuxauuxxgxxxx.\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -194*y + 4. What are the prime factors of h(-1)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f - f + 10. Let k = 193 + -159. Let c(a) = -81*a + k*a - 3 + 49*a. What is c(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 57 - 55. Solve -m + o*m + 1 = 2*z, 0 = -m - 5*z - 15 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1097653 is divided by 7467?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5908900?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/88781 and -3\/88781?\nAnswer: 88781","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-412 - 308 + 129)*(-2*l**2 - l**3 + l**2 + 2*l**3).\nAnswer: -591*l**3 + 591*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 67234 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 l be 152\/228 + 1184\/(-3). Which is smaller: -393 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 - -1. Let g(m) = -m + 4. Does 4 divide g(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(2)*3 + -3*sqrt(72).\nAnswer: -27*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert d8c3ab (base 15) to base 3.\nAnswer: 201102012220222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 23*s - 4. Determine l(-2).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4437.1034 rounded to the nearest ten?\nAnswer: -4440","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 20\/7089 and -10\/17?\nAnswer: 7089","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-53 - 32 + 0)*(-19*o**5 + 261*o - 2*o**2 - 261*o).\nAnswer: 1615*o**5 + 170*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6774 + 6777. What is the closest to -24 in -0.5, f, 2\/5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 164567?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -11000010 (base 3) to base 14\nAnswer: -10c7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + s + 3208 - 3180 = 0, -v - 36 = -5*s for v.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.92 - -4.92. What is the nearest to -0.1 in 1\/7, -1\/44, x?\nAnswer: -1\/44","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14 - 42*c - 1191*c**3 + 105*c - 542*c**3 - 345*c**3 + 80*c**3 wrt c?\nAnswer: -11988*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 + 5\/6*(-3 - 6). Let f = -8 - -2. Which is greater: n or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6*3)\/((-231)\/22)*1\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24*(-51)\/(-6460))\/((-6)\/10)?\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9119377 - 6399377. Suppose -3*c - q = c. Round c to the nearest one hundred thousand.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(336)\/sqrt(7) - sqrt(33)\/sqrt(44).\nAnswer: 7*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 23, -94, -3 in ascending order.\nAnswer: -94, -3, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventeen quarters of a litre?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81 is divided by 35.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 2515500343 to the nearest 1000000.\nAnswer: 2516000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*j**3 + 11*j**3 - 134 + 134.\nAnswer: 19*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) 0 (c) 5 (d) -0.2 (e) -17959 (f) 30\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/3 + (1 - (-25264)\/6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 143820, 287640, 431460?\n\"Answer: 143820*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 y when two letters picked without replacement from {b: 6, k: 12, y: 1}?\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes after 9:00 AM?\nAnswer: 8:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (45\/125*510\/(-306))\/((-11)\/5)\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n = 9 - 3. Is n greater than or equal to 43?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(-2 - -3)*-13. Let h(x) = -2*x**3 - x + 5. Let o(f) = 4*f**3 + 2*f - 11. Calculate r*h(d) - 6*o(d).\nAnswer: 2*d**3 + d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 60 = 3*v. Suppose v = -4*b + 8*b. Let a be b - (-3)\/(-5 + 2). Solve -a*j - j = -15 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (10\/(-5))\/1 - 66\/2. Let z = -31 - q. Let -31 + 39 - 14*u**2 + 2*u**5 + 6*u**z + 3*u**3 - 5*u**3 = 0. What is u?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (15840\/120 - -49) + -13*3?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 330 = 10*j + 54*j. Solve -4*l = -t - 15, 6*l - 5 = -t + j*l for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 47605?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 411 - -3427?\nAnswer: 3838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 262647068 minus -3?\nAnswer: 262647071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -20, 16, 4, -7.\nAnswer: -20, -7, -6, 4, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.089438 rounded to 2 decimal places?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1178, 1177, 1176, 1175, 1174?\nAnswer: 1173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 + -4.4. Let u = x + 0.8. Let v be (-175)\/(-55) + (-4)\/22. Which is the closest to 1? (a) u (b) 0.1 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -335, -276, -177, -38, 141?\n\"Answer: 20*j**2 - j - 354","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cbb when three letters picked without replacement from {c: 4, b: 10, j: 1, w: 2}?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*b - 5*b + 6*b.\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17511 = -22*a + 3809 + 4706. What are the prime factors of a?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-219 - 24*a + 219)*(-4*a + 2*a + a).\nAnswer: 24*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*a - 9*g - 14, 5170*a - 5167*a - 2 = 4*g for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (((-12)\/(-3))\/32)\/(10\/10)\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -380 (base 15) in base 8?\nAnswer: -1433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -50*d - 107. Calculate the remainder when a(-5) is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 98803374?\nAnswer: 2, 3, 3187, 5167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*c = 2*c + 18 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 289171291, 289171288, 289171285?\n\"Answer: -3*h + 289171294","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the third derivative of t**7\/210 - t**3 + 3*t**2. Find the first derivative of s(v) wrt v.\nAnswer: 4*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 910 + 323 = 3*h - 11*h, -415*w + 417*w - 6*h + 440 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7664*x**5 + 20059*x.\nAnswer: 153280*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-2))\/((-16)\/4).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 11*m**3 - 5*m**2 + 6. Let w(s) be the first derivative of 5*s**4\/4 - s**3 + 3*s + 6999. Calculate -3*p(t) + 5*w(t).\nAnswer: -8*t**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p + 190 = 13*p. Let m = 359 - 93. Calculate the greatest common factor of m and p.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 21*o**4 + 130*o - 65*o - 93*o**4 wrt o?\nAnswer: -864*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-2 + ((sqrt(98) - -1*sqrt(98)*4) + 1)*-4 + -2 + -1)**2.\nAnswer: 2520*sqrt(2) + 39286","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 67331 divided by 34?\nAnswer: 67331\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1\/(1\/(-10)))\/(-2). Let t be -3*(11 + 658\/(-42)). Suppose k = -x + 2*z, -2*x + t = -0*x + 4*z. Solve 0 = -4*b - 5 + x for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(396) + 3)*3 + sqrt(396))*5 - (3 + sqrt(891) + 1 + -3))**2.\nAnswer: 9768*sqrt(11) + 137467","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1852981?\nAnswer: 13, 142537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -183979*w**2 - 128230*w wrt w.\nAnswer: -367958","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 30 + 98 = 2*n, -5*u - 102 = -3*n. Find the common denominator of (0 + -1)\/((-6)\/(-32)) and (n\/6)\/((-40)\/150).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) 1\/4 (c) 3 (d) -0.1 (e) -6 (f) -0.060787\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 550 + -11225?\nAnswer: -10455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 308\/132959 or 0?\nAnswer: 308\/132959","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 100400 (base 5) in base 15?\nAnswer: e50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4195 - 1208?\nAnswer: -1207.5805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*l + 317 + 313. Suppose 0 = 6*j + l - 39. Sort 0, j, -57, -3 in increasing order.\nAnswer: -57, j, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**2 + 2*m - 7. Let s be p(-5). Let v = -160 + 1117\/7. What is the closest to 1 in 4, s, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 - -10. Let z = 166 + -162. Suppose -m = 5*t - 6*m - 15, -o*m = -z. Is t a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 231559 is divided by 1735.\nAnswer: 804","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, h: 12}. What is prob of picking 2 h?\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/9 (b) 3 (c) -750 (d) 8 (e) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 9*v. Solve 5*l + 5*a + 20 = v, 2*l + a + 1 = -4 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 93.71767 litres?\nAnswer: 93717.67","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-55)\/(-10))\/11)\/((-5)\/20*-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*y + 290 = 242. Solve -4*t + c = -0*c + 3, -y*t - 5*c - 7 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.1 (b) -0.01837 (c) -0.845\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h = -2*i + h - 13, 0 = 5*i - 4*h + 24 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/40)\/((-6327)\/4218)\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -39*(42\/(-18) - -2). Let y(v) = v**3 - 14*v**2 + 14*v - 12. Determine y(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 870 (b) 1 (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes before 11:25 PM?\nAnswer: 12:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**2 + 13*b + 45. Let r be x(16). Calculate the lowest common multiple of ((-81)\/(-45))\/(r\/(-15)) and -2*(-26)\/4 - -2.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes after 11:13 AM?\nAnswer: 5:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1643*u**2 + 3*u - 16075?\nAnswer: 3286*u + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -630 divided by -2.\nAnswer: 315","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -4*k. Let j(l) = -15*l. Let x(n) = -n**3 + 7*n**2 + 3*n + 1. Let w = -5 + 12. Let m be x(w). Determine m*h(u) - 6*j(u).\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**2 + 169*x - 311508. Calculate z(-649).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 18793?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 50 and 825.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*v = -3*v - 7*v + 245 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15642 + -7430. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 121103643?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*s**3\/5 + 1906*s**2\/5 + 10*s - 9530 = 0. Calculate s.\nAnswer: -5, 5, 953","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 60 and 24.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-495)\/(-8 - -7))\/((-1)\/(-6))?\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y + 16. Let x be k(0). Let h(v) = -5*v - 23*v**2 + 0 + 26*v**2 + x*v + 5. What are the prime factors of h(-8)?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-188008)\/8606 + (-4)\/26.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 + 33 = 6*t - 4*t - x, 2*x + 0 = -1 - 7 for t.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes after 10:33 PM?\nAnswer: 4:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 205, 203, 201, 199, 197?\n\"Answer: -2*n + 207","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 386941?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 less than -83.355?\nAnswer: -82.355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwwwwwww. Give prob of picking 4 w.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 699952 and 216931.\nAnswer: 451","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -12*j**3 - 23*j**2 + 17*j + 17. Let c(y) = 4*y**3 + 8*y**2 - 6*y - 6. What is 17*c(z) + 6*u(z)?\nAnswer: -4*z**3 - 2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the second derivative of o**5\/20 - o**4\/12 - o**3\/2 - 3*o**2\/2 - 14*o. Determine a(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (7\/98)\/(57\/(-21) + 3). Let t = -50.7 - -50. What is the closest to -1\/4 in t, -0.4, c?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (255 + -261)*(0 - 2\/(-4))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 + 1 = -3*f. Suppose 38 = f*x - 3*x. List the prime factors of x.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 397 and 1771811?\nAnswer: 397","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 38026649 to the nearest integer?\nAnswer: 336","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (((-11050)\/102)\/(-65))\/((-5)\/(-9))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 130676*g + 105528 wrt g?\nAnswer: 130676","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.7004 to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 - -10. Let z(j) be the first derivative of j**3\/3 + j**2 - 23*j - 3. Let k be z(-6). Solve 0 = 4*c - 12, -2*q + b*c - 5 = -k for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 8) in base 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -2*x**2 - 11*x - 4. Give p(-8).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 71*s**6 - 139*s**2 wrt s?\nAnswer: 8520*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55*x**2 - 105*x**2 - 28*x**2 - 97*x**2.\nAnswer: -175*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18 and -8 + (-174)\/(-24) + (-851)\/(-4).\nAnswer: 1908","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/165 - 2806\/(-14490)*-21*(-10)\/(-308)?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -1\/3, 4\/3, -1.5, 2, 0.1, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(((sqrt(84)*1)\/sqrt(6))\/sqrt(7) + ((sqrt(288) - (sqrt(288) + 0)) + sqrt(288))*-5))**2*5.\nAnswer: 139240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(16)\/(sqrt(80)\/(sqrt(10) + sqrt(160))) + 4.\nAnswer: 4 + 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/5? (a) -3 (b) -2 (c) -0.2 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fjdhqjj. What is prob of sequence jdhj?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-2*(-1 + sqrt(8) + sqrt(8)) + 4)**2.\nAnswer: -288*sqrt(2) + 492","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 2. Let h(g) = 80*g + 11. Calculate -h(w) + 6*n(w).\nAnswer: -80*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 2*c + 14 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 54.5 + -55. Sort 1\/9, -2, r, 1 in decreasing order.\nAnswer: 1, 1\/9, r, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0783143295 to four decimal places.\nAnswer: 0.0783","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 2151*g**3 + 5*g**2 + 247*g - 758. What is the ten thousands digit of p(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26894711, 53789423, 80684135, 107578847, 134473559, 161368271?\nAnswer: 188262983","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**3 + 174*j**2 + 1266*j + 194. Give w(181).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.332 - 1.342. Which is the smallest value? (a) -15 (b) 0 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 832475.\nAnswer: 5, 7, 67, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 243154 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 2*u = 3*u - 8, -u = -m. Suppose 5*q - 18392 = -g, 9 = -g - m*g. Let t = q - 2312. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 291.589538 to the nearest ten.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -4*(-1790862)\/16 - (-3)\/2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 - 8 = 4*n. Let x(a) = a**2 + 7*a + 7. Calculate x(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -65\/619644 at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11161 is divided by 50.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 170206254 and 66191321.\nAnswer: 1191443778","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*m**3 + 659*m - 60*m**3 + 11*m**3.\nAnswer: -92*m**3 + 659*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 116224 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -391\/103494 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(133) - ((sqrt(133)*3 - sqrt(133))*5 - sqrt(133)))\/(3*sqrt(7)*-2).\nAnswer: 4*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the third derivative of 0 + 0*u - 4*u**2 - 1\/12*u**4 + 0*u**3. Let l(n) = n + 0*n - 7*n. Calculate q(l(t)).\nAnswer: 12*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 264 and 4.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -2*f**5\/13 + 74*f**4\/13 - 540*f**3\/13 - 2420*f**2\/13 + 542*f\/13 + 2346\/13 = 0.\nAnswer: -3, -1, 1, 17, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 37276744 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 2 y when three letters picked without replacement from {s: 1, u: 6, y: 2, j: 9}.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 34625 (base 8) to base 12\nAnswer: 8645","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 11342184 divided by -1417773\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = 5*m + 3*x - 13, -m - 4*x = -6. Let k(j) = -m + 0*j + 2*j - 2 + 3. Give k(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/4, 0.01, 35, -1\/172?\nAnswer: -1\/172","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -22 - 7b9b?\nAnswer: -7bc0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -5+235595624\nAnswer: 235595619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4.6 + 4.7. Which is the nearest to -0.1? (a) x (b) 3 (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 82 - (-87 + 61 - -43).\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -7096*x - 1334043. Calculate m(-188).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q - 27015 = 7*q - 4*k, 0 = -4*q - 3*k + 107995. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -a + 5*j, -a = -2*a - 3*j + 4. Suppose 5*r - a = 13. What is the third smallest value in r, -4, 2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*m**3 - 26*m**3 - 25*m**3 - 29*m**3 - 26*m**3 + 141*m**3 - 29*m**3.\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*j - 4*w - 6, 3*j + 5*w = -4. Solve 0 = a + 3*q - 1, -a - 4 = -0*a - j*q for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -3*r**2 - 4. Let f(h) = -10*h**2 - 14. Let p(s) = -4*f(s) + 14*n(s). Let t(u) = -3840*u. Give t(p(g)).\nAnswer: 7680*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -249311, -499058, -748805, -998552, -1248299, -1498046?\nAnswer: -1747793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.8039 + -104.0861. Let y = 0.11 - w. Let c = -105.0049 + y. What is c rounded to 3 decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*c**2 + 104 - 18*c**2 - 16*c - 385 + 34*c**2.\nAnswer: 2*c**2 - 16*c - 281","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1657 divided by -1960.\nAnswer: 1657\/1960","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 335332657 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -6540 + -15?\nAnswer: -6555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 44 = 22823*x - 22820*x, -3*h + 2*x = -26 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 303897712 by 31.\nAnswer: 9803152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 13474707 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(91)*6 + (2*sqrt(91)*-3 - sqrt(91)) + sqrt(91))\/(sqrt(175) - -2*sqrt(175)*3 - sqrt(175)).\nAnswer: -3*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -t - 1, -5*q + 4*t - 3 = -2 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**2 - 13*w - 19. Let i be y(-13). Let r = 89 - i. Calculate the greatest common factor of r and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*k + 22376852*k**3 - 22376850*k**3 + 12*k.\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1.7*-0.02\nAnswer: -0.034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(1\/4))**(-15)*z\/(z\/((z*z**(-3\/7))\/z)*z)*z*z\/z**(-5)*(z**(-1\/4)\/z)**(-1\/33)\/(z*z\/(z\/(z*z**0)))**(20\/9) assuming z is positive.\nAnswer: z**(-3583\/1386)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 5*d + 600 = 5*r, -4*r = 0. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 36\/(-16) - 2\/(-8). Let h = -43 - -130\/3. Let l be ((-4)\/(-7))\/((-772)\/28 - (-1932)\/69). Which is the nearest to s? (a) h (b) l (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 + 27*a**2 - 9*a - 2312. What is s(22)?\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (87*x + 6*x**2 - 87*x)*(-4*x + 1 - 1 + (2*x + 1 - 1)*(-1 + 0 - 2) + 4*x + 0*x - x).\nAnswer: -42*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-10)\/(-1 - 4*15\/(-100)). Let f(h) = h**3 - 27*h**2 + 48*h + 23. Give f(l).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/8*2)\/((-1)\/3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6552*z - 11027*z - 15573*z.\nAnswer: -20048*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 583 divide 1505721?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-225)\/14700*-28*(-2)\/4*(-2)\/(-54).\nAnswer: -1\/126","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 - 2. Let w be (-18)\/a - (-1 - -2). Suppose -w = -2*g + 1. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.359 rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r + 68 = -40. Put 1, 0, r in decreasing order.\nAnswer: 1, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19 + 18 + 0 + (0 - (1 + -4))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(((1 + sqrt(882))*2)**2 + 5).\nAnswer: -17685 - 840*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 5*k - 27 = 0, 4*p + 3*k - 17 - 4 = 0. Let y be ((-63)\/4)\/(p*7\/(-56)). What is the highest common divisor of 28 and y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 3 = -1. Suppose -p + n = 46 - 9, -4*p + 5*n = 150. Let k = -35 - p. Put k, -4, z in increasing order.\nAnswer: -4, k, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10*g**4*v**3 + 7727*g**3*v**3 + 75*g*v**3 - 3*g*v**2 - g + v**3 - 5*v wrt g.\nAnswer: -120*g**2*v**3 + 46362*g*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the second derivative of -p**4\/12 + 2*p**3 - p**2\/2 - 4*p. List the prime factors of d(9).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((7\/7)\/(1\/3))\/(-1)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f = -82 + 80 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -10, -3, 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-10) + 54\/90.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*x + x - 2. Suppose -z + 1 + x = 0. Suppose -5*u = 4*i - 197, z*u = 4*i + 121 + 10. Does 14 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -4 + 0 + 1 + 0. Let n(v) = 3*v. Suppose 0 = 4*z, 6*z = 5*s + 2*z. Suppose 5*a + 25 = s, 4*t + 5*a - a + 44 = 0. Let x(q) = -5*q. Give d*x(r) + t*n(r).\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2 and 270004?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:31 AM and 1:16 PM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -807, -4891, -11691, -21201, -33415, -48327, -65931?\nAnswer: -86221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwbwqwbqwwwww. What is prob of sequence wqww?\nAnswer: 42\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 268*b**2*v**5 + b**2*v + 59*b*v**2 wrt v?\nAnswer: 16080*b**2*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 345\/1150 + 1277\/10. Solve a*c - 122*c - 18 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-4 + sqrt(125)).\nAnswer: -10*sqrt(5) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18 + 11343\/(-608))\/((-14)\/8).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*c**2 + 2*c**2 - 6*c**2 + 2*c**2 + 0*c**2 - 4*c**2 + (-14*c - 7*c + 2*c)*(-c - 2*c + c).\nAnswer: 35*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.051082 years to centuries.\nAnswer: 0.09051082","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 493016, 494228, 495440, 496652, 497864, 499076?\nAnswer: 500288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c*c**(-4))\/(c\/(c*c**(-2\/5)\/c*c)*c))**(-1\/11))**(-19) assuming c is positive.\nAnswer: c**(-323\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 133 divide 185950857?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -5*j + 6. Let d(w) = -6*w + 7. Let a(m) = 6*d(m) - 7*f(m). Let v(k) = 19*k**2 - 37*k**2 + 19*k**2. Calculate v(a(x)).\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 508340 rounded to the nearest ten thousand?\nAnswer: 510000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -67*v + v**2 - 1 + v**2 - 2 + 35*v + v**3 + 28*v. Suppose -l + 12 = -3*l. Let i = l + 3. Calculate t(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12223 - -3?\nAnswer: -12220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(209)\/((sqrt(132)*2)\/sqrt(12)).\nAnswer: sqrt(19)\/2 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-3)*w)**(-43)*w**(-1\/3)\/(w**(-11\/4)\/w))**(-41) assuming w is positive.\nAnswer: w**(-43993\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 30*f**3 + 5*f**2 + 23*f - 71. Calculate h(2).\nAnswer: 235","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 209.19 + -213. Let z = 2.46 - 0.24. Let h = o + z. What is h rounded to one decimal place?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 24*d. Let y = -2416 - -2417. Calculate h(y).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from leehe. Give prob of sequence he.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 828911 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 810 times 1093?\nAnswer: 885330","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:33 PM and 11:57 PM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17 + -5. Let i be (-82)\/(-8) - ((-45)\/h + 4). Let x be (-98)\/(-4) - 1\/(-2). Calculate the greatest common divisor of x and i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:20 PM and 4:58 PM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.3461 + 0.1251. Round c to 0 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2112) + 3*(sqrt(2112) + sqrt(2112)*2 + sqrt(2112) - sqrt(2112)))\/(sqrt(66)\/(sqrt(60)\/(sqrt(20)\/sqrt(2)))) + -3 + 3.\nAnswer: 80*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 2063?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 - 0. Let s = 1.2 - 0.2. Let l = 0.33 - 0.03. Which is the nearest to s? (a) 1 (b) l (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -2*q**3 - 2*q**2 + 3*q + 1. Let y be z(-2). Suppose 0 = m - y*m + 132. Let i = m - 36. What are the prime factors of i?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 g when two letters picked without replacement from {g: 1, d: 1, b: 3, m: 5, i: 3}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 7*y**3 + 225*y**2 + 16*y + 95. Calculate x(-32).\nAnswer: 607","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjww when four letters picked without replacement from jjjjwwjw?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide -306*(7 + -2*19\/4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/42 and -103\/10206364?\nAnswer: 30619092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (10*261\/(-45))\/(8\/4)\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 2*u. Let k(w) be the second derivative of 7*w**3\/6 + 16*w. What is k(t(y))?\nAnswer: 14*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sxssssssxs. What is prob of picking 2 s and 2 x?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 2*u**3 - 20*u**2 + 3*u - 34. Let t = 23 - 20. Suppose -3*d = r - 10, 0*r = -t*r + d + 30. Let i be l(r). Sort 7, i, 3.\nAnswer: i, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 113993*x - 113949*x = 836 for x.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -12*h**2 + 783*h + 37032. Calculate f(97).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttrcttccrcttccttt. What is prob of sequence trcc?\nAnswer: 9\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a\/(a*a**9)*a\/a**6)\/(a**3*a*a**(4\/5)) assuming a is positive.\nAnswer: a**(-89\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 165 is divided by 44?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83 = -2*m + 17. What is m rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 94*w**4 + 4*w**3 + w - 101 wrt w?\nAnswer: 1128*w**2 + 24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -4810, -4868, -4926, -4984, -5042?\n\"Answer: -58*m - 4752","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a meter in centimeters?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 21 = -43*b + 38*b, -21 = -3*o + 2*b. Suppose 0 = 5*l + 4*n - 27, -2*n - o = -4*l - n. Let x(i) = 2*i + 1 - 3 + 0. Determine x(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 14 + -34 - -7.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-8)\/20)\/((-16)\/(-60)). Let g = -0.1 + 0.5. What is the third smallest value in 0.2, x, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/6 - (8\/(3696\/(-783)) - (-18)\/63)\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 170264506969 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -227? (a) 10 (b) -3\/4 (c) -16.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 4*q**4 + 7492*q**3 + 4664952*q**2 + 957744944*q - 4906287520 = 0.\nAnswer: -626, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**3 - 5*q**2 - 2*q + 3. Let t be s(5). Let z = -9 - t. What is the tens digit of (15\/12)\/(z\/(-16))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-12)\/250)\/(7824\/(-3260)). Which is the nearest to k? (a) 0.1 (b) 0.9 (c) -2\/31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -182, -749, -1696, -3023, -4730?\nAnswer: -6817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 (base 11) in base 2?\nAnswer: 1001011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*d**3 - 357*d**2*k**2 + 3*d*k + 2*d - 4712*k**2 wrt d.\nAnswer: -6*d**2 - 714*d*k**2 + 3*k + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (((104\/3)\/(-13))\/(-6))\/8?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -20514\/7 + 2913. Let j(d) = 37*d + 1389. Let h be j(-38). Are a and h equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -634*j - 5186. What is the thousands digit of l(-55)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -15*w - w**2 + 53 - 4*w - 68. Does 21 divide o(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2514*n + 2510*n + 6*z - 5*z - 20, 2*z = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 36716997 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 27\/203872 and 37\/3280.\nAnswer: 41793760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*g = 8 + 10. Let h(w) = 4*w**2 - 3*w - 5. Let x(z) = -z**2 + z + 1. Give g*h(n) - 5*x(n).\nAnswer: n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g - 11. Let l be (-3 - -2 - -5)*1 + -15. Determine f(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48)\/(-2*sqrt(4))*-1)\/(2*sqrt(900) - sqrt(900)).\nAnswer: sqrt(3)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*p*x**3 + p*x**2 + 47*p - 22*x**2 + 15 wrt x?\nAnswer: 12*p*x**2 + 2*p*x - 44*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes before 8:43 PM?\nAnswer: 12:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 1311?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*m + 7. Let w = 413\/130 - 40\/13. Let d be ((-52)\/16 + 3)\/(12\/(-32)). What is the nearest to d in w, m, 2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 315 (base 14) to base 5\nAnswer: 4412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a micrometer in nanometers?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15b (base 13) to base 11.\nAnswer: -203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/54)\/((-7)\/(-21))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q*q\/q**(-2\/3)))\/q)**(-35)*(q**(-3\/2)*q)\/((q*q*q**(-4\/3)*q*q*q*q*q*q)\/q*q)*q**0\/(q*q*q**1)*q**5\/q*q**(-1\/13)*q assuming q is positive.\nAnswer: q**(6871\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(-32) - 117\/24. Is ((-425)\/10 - j)*-12 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 306392699 is divided by 170?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9529 is divided by 64?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = -5*r - 100. Let h be -1*5\/(r\/12). Suppose -4*z + h*s + 81 = -z, 3*s - 15 = 0. Does 16 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-26 - 3) + (-20 - -39).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the second derivative of b**5\/20 + b**4\/3 - 3*b**2\/2 + 2*b. What is the units digit of r(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -34*g**2 - 14*g + 14. Suppose 27*x = 29*x + 28. Let c(p) = -7*p**2 - 3*p + 3. Determine x*c(d) + 3*s(d).\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/7, 3313, -3, -8.\nAnswer: -8, -3, -1\/7, 3313","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 51360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (244\/183)\/(((-4)\/36)\/(16\/60)).\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 143724 and 19116?\nAnswer: 708","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 98 = -w, -18 = 3*u - 2*w - 165. Let x = u - 45. Suppose -x*i = 5*p - 228, -191 = -5*i + 3*p + 94. List the prime factors of i.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 + 1 + -5 - 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -14\/9 and 26\/83?\nAnswer: 747","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -41, 5, 1, 4 in decreasing order.\nAnswer: 5, 4, 3, 1, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/53, 0.1, -0.02, 0.05, 0.4 in descending order.\nAnswer: 0.4, 0.1, 0.05, 2\/53, -0.02","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (((sqrt(104) + (sqrt(104)*-1 + sqrt(104))*6 - sqrt(104)) + sqrt(104))\/(sqrt(160)\/sqrt(5)))**2 + (1*sqrt(78)\/sqrt(216))**2.\nAnswer: -25\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 - 0. Let z = -6.866 - -0.066. Let a = p - z. Which is smaller: a or -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -3*a - 12. Let g be d(-5). Let v = g + -1. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1011010010100001010100 (base 2) to base 6\nAnswer: -143233044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10062303.\nAnswer: 3, 577, 5813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000076992 to six dps.\nAnswer: 0.000077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**2 - 10. Let h be s(6). Suppose 3*t = 4*t - 8. Suppose w - 73 + t = 0. Calculate the highest common divisor of w and h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 456 - 2723\/6. Find the common denominator of -75\/2 and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((sqrt(1800) - sqrt(50))\/sqrt(10) - sqrt(5) - sqrt(5)))**2.\nAnswer: 1125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.15? (a) 5 (b) 0.3 (c) 15\/2 (d) 66\/17 (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.02, -2005.52, -4, 5?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 12157774 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 105 and 19 - 23 - (-10 + -1).\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (10 - -1) + (-9 - -1) + 12 + -8\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1321 + -2121?\nAnswer: -10102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 4 - 3*q + 5*q**2 + 2 + q**3 - 2*q. Let i be x(-6). Suppose -3*j + 2 + i = 5*o, -2*j = -5*o - 18. Solve j*m + 9 = -7 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 43203650 and 350?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43 is divided by 13.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4732144\/97 or 48784?\nAnswer: 4732144\/97","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2166 divided by 3?\nAnswer: -722","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 470 and 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:09 PM and 11:45 PM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -41.978 + -0.022. Let p = -42.000038 - n. What is p rounded to five decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 24 + -16. Let m = n + 19. Is 15 a factor of (-60)\/9*m\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10607 - -10607. Which is the nearest to 2\/7? (a) 5 (b) i (c) -44 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 364528?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6198 = -j + b + 4099, -5*j + 51478 = -4*b. Is j a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -34, -29, -22, -13, -2?\n\"Answer: r**2 + 2*r - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 31 + 13 = 0. Let r be (-4)\/(-18) - (-11)\/m. What is the units digit of 6\/((-6)\/(r*3))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:58 PM and 2:09 AM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -16 + 22. Let o be -1*6*h\/(-6). Suppose -p + 431 = 5*s + o*p, 2*p + 251 = 3*s. Is s a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 12, w: 3}. What is prob of picking 3 w and 1 r?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 28 - 14. Is t a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -0*m - 57. Suppose 11 = 3*c - m. Is c a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1100) - (0 + sqrt(1100) + sqrt(1100)))**2 - (sqrt(891)*-1 - sqrt(11)).\nAnswer: 10*sqrt(11) + 1100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**3 - 6*m**2 + 18*m + 11. Let g be n(-8). Find the common denominator of (5\/(-9))\/(3 + g + 5) and 149\/24.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 415454 is divided by 30?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 89.2798 plus -335316938?\nAnswer: -335316848.7202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -30332100 - -111?\nAnswer: -30331323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 2*j - 13. Let m(t) = -5*t + 26. Let y = 4 - -5. Let a(z) = y*q(z) + 4*m(z). Let g be a(-7). Solve -3*r - 16 + g = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -2*n**3 - n**2 - n - 1. Let d(g) be the second derivative of -g**4\/12 - g. Let m be (40\/32)\/(-1) - (-2)\/8. Determine m*d(l) + i(l).\nAnswer: -2*l**3 - l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the third derivative of h**5\/330 - 397*h**4\/66 + 157609*h**3\/33 - 674*h**2. Factor v(z).\nAnswer: 2*(z - 397)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78\/35 at most as big as 0.15717?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4448852 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 656\/235 + 2\/235. Let k = r + -47\/15. Let u = -0.433 + 0.033. Which is the nearest to 2\/7? (a) u (b) k (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1*(-1)\/1*(-15)\/1. Suppose 0*g = -5*g - 2*y + 15, -5*y = 5*g - b. Let o(z) = 14*z - 34. Let u be o(g). What is the greatest common factor of 152 and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -387*r**2. Let f(z) = -2353*z**2 + 1165*z**2 + 1183*z**2. Calculate f(n(g)).\nAnswer: -748845*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z**2\/3 + 96131*z - 288396 = 0. Calculate z.\nAnswer: -288396, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -266 - -3124. What is the hundreds digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 20 = -2*g, 42*g + 32 = 37*g + 2*q for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -92 (base 10) in base 11?\nAnswer: -84","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + g = 12. Let m be -2 + 4\/(g\/(-279)). What is the highest common divisor of 13 and m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -2039*h + 8. Suppose 35*t = 21*t - 98. Is c(t) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1842*w**3 + 15 - 12 - 3 + 8905*w**3.\nAnswer: 10747*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a\/(a\/a**2))**(2\/95)*(a**2*a)**(-1\/4))\/(a**(3\/5)\/a**(2\/9)*(a**(2\/5)\/a)**(3\/25)) assuming a is positive.\nAnswer: a**(-84869\/85500)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0 (b) 504 (c) 0.2 (d) -5\/4 (e) 71\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -140 + 297 - 4*o - 150. Let l(t) = 5*t - 6. Give -4*g(x) - 5*l(x).\nAnswer: -9*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 48492 by -12123.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 364 + 2144 = 114*l for l.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 505390411 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 5, 2, 5\/4, -1\/5 in decreasing order.\nAnswer: 5, 2, 5\/4, -1\/5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 86 divide 1186171?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 8*r**2 - r + 2. Let s be d(-4). Let h be s\/4 + (-6)\/4. Suppose -b - 3*b = -h. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.8 + 1.1. What is the closest to 0 in 4, z, -2\/3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -879, -848, -785, -678, -515, -284?\n\"Answer: 2*z**3 + 4*z**2 + 5*z - 890","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -48, -409, -1390, -3303, -6460?\nAnswer: -11173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-183 + 183 + 66*o**2)*(3*o + 2*o + 0*o) in the form n + y*o + k*o**2 + x*o**3 and give x.\nAnswer: 330","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 53613?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g + 1976 = 212. Let m = g + 257. Solve 5*w - 4*o = -3, 4*o - m + 20 = -w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -73 + 27 - -91 - 60?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -721*u**4*w**2 + 2*u**3*w**2 + 9*u**2*w**2 + u**2*w + 4 wrt u.\nAnswer: -17304*u*w**2 + 12*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 180941 is divided by 60267?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*t = 6*t - 130 + 560 for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -234 (b) -0.4 (c) 3 (d) -18\/385\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 2*x**2. Suppose 3*a + 7 + 8 = 0. Let f(s) = -s**2 + 6*s + 6. Let z(k) = -k**2 + 5*k + 5. Let i(b) = a*f(b) + 6*z(b). Determine h(i(v)).\nAnswer: 2*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -76\/7, 0.2, 289\/3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -88 - -88.24. Round d to 1 dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ellxlllnn. Give prob of picking 1 x and 1 e.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5 + -1)*(-1)\/9)\/(1\/((-30)\/40)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 222679 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 84452 to the power of 1\/2, to the nearest integer?\nAnswer: 291","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 212 - 68. What is the tens digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-12)\/9*6\/(-4). Let g be ((-3)\/z)\/((-21)\/28). Is (g + 2 + -3)*14 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**(-2\/3))\/z)**(-46)\/((z\/(z\/(z*z*z*(z\/(z\/z**(1\/3)))\/z)))\/z)**34 assuming z is positive.\nAnswer: z**(-76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 164346?\nAnswer: 2, 3, 7, 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 + 0. Suppose 0*r + k*r = 20. Solve -3*w + r + 8 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.76470080945 + 2.7647. Round u to seven dps.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/5? (a) 602 (b) 2 (c) -2\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 313460 divided by -31.\nAnswer: -313460\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28, -17, 14, 77, 184, 347, 578?\nAnswer: 889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 406463, 405939, 405067, 403847?\nAnswer: 402279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 5*n + 3. Suppose -3*j + 0*j = 3. Let y(d) = -d. Let h(p) = j*l(p) - 3*y(p). Let q(g) = -g - 2. Let a = -10 - -3. Give a*q(s) + 4*h(s).\nAnswer: -s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (540\/9)\/(-12) + (-489)\/(-99). Which is the nearest to 2? (a) v (b) -1\/5 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -5, -6, -11, -20, -33?\n\"Answer: -2*a**2 + 5*a - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**2\/7 - 6175*s\/7 - 12354\/7.\nAnswer: (s - 6177)*(s + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 2 b when three letters picked without replacement from pnxnpnpndnnbnnnbnn.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 76\/819 + -1\/63. Which is smaller: g or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*p - 5*p = 3*i - 257, 0 = i + 3*p - 67. Let z = i + -18. Suppose 0 = 4*n - z - 71. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes after 2:21 AM?\nAnswer: 10:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15695680 and 2310?\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 561*d**2 + 8*d - 8. Let g be v(4). Round g to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1700)\/(-12) - (-10)\/(-15) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10\/3841 - 760648\/49933. Suppose -5101*o + 5078*o - 368 = 0. Is o >= x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -778\/5 - -156. Let i be 40\/180 - 17\/(-45). What is the third smallest value in u, i, -10, -1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2657 - 11*w + 6*w - 7*w.\nAnswer: -12*w - 2657","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4663426911 - -4663425533.8456686. Let a = 1272.154306 + u. Let v = 105 + a. What is v rounded to six decimal places?\nAnswer: -0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-4 + -1*sqrt(243)))**2.\nAnswer: 72*sqrt(3) + 259","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 302396?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 55687343?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -7*a + 2*a - 11, 5*a = -15. Let g(w) = 4*w - 1. Let q be g(i). Suppose -2*z + 17 + q = 0. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -630 - -626. Put 1, 1\/4, 9, y in decreasing order.\nAnswer: 9, 1, 1\/4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + ((-38)\/10)\/((-5)\/(-25)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b - 1. Let d(r) = 5*r + 3 + 2*r - 6*r. Suppose 0 = 4*f - 2*f + 4. What is f*d(l) - 4*m(l)?\nAnswer: 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**2 + 13525*y + 13315463. Determine l(-1069).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 4*a = 82, 193*i - 2*a = 188*i + 245. Calculate the least common multiple of 348 and i.\nAnswer: 5916","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/2 + (-34)\/10. Is -3 bigger than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55\/2 of a meter in centimeters?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes after 2:14 AM?\nAnswer: 3:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2112) - (sqrt(2112) - -3*sqrt(2112) - sqrt(2112)))\/((sqrt(55) + sqrt(55)*3 + sqrt(55))\/sqrt(5) + sqrt(11)).\nAnswer: -8*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -8431, 577, 4 in decreasing order.\nAnswer: 577, 4, -8431","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/5)\/(2\/20). Let f(v) be the third derivative of v**4\/24 - 7*v**3\/3 + 12*v**2. Let i be f(16). Sort x, i, 5 in increasing order.\nAnswer: i, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56335*d**3 + 56350*d**3 - 112700*d**3 + 7.\nAnswer: -15*d**3 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001248839197 rounded to five dps?\nAnswer: -0.00125","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/((-3)\/27) - 0. Let m(b) be the first derivative of b**3\/3 + 9*b**2\/2 - 4*b + 1. Let j be m(p). Put 0.2, 3, j in decreasing order.\nAnswer: 3, 0.2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vva when three letters picked without replacement from vaav?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*n = -8*n + 27*n - 2860 for n.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kaep when four letters picked without replacement from {e: 12, a: 2, k: 4, p: 1}.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 148.\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 278*f**2 - 14*f**2 + 419*f**2.\nAnswer: 683*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6\/17389 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (31 - 31) + 2\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 - 1001101100001?\nAnswer: -1001101100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 52960 and 22269680?\nAnswer: 44539360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -2.75483 - 1070244\nAnswer: -1070246.75483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20 and 563928.\nAnswer: 2819640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 18 + 4*n - 13 + 0*n - 5*n. Let a(i) = 51*i - 4 - 23*i - 27*i. What is -5*a(l) - 4*x(l)?\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 29299\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/8 + 3\/(-12). Let h(d) = d + 2. Calculate the remainder when (f - 22)\/((-6)\/9) is divided by h(15).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21834724 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8398522 and 44?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 98*(-81)\/(-5103) + (-161)\/(-18)?\nAnswer: 21\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 2*l = 6, -3 - 5 = -w - 4*l. Suppose 0 = -r + 34 + w. Suppose -r = -v + 81. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times -0.212467?\nAnswer: 0.0424934","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 12\/21*(5 + 2). Let a be (2\/(q + -6))\/(-1). Let s(h) = -a + 4 - 2 + 3*h. Determine s(5).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**2 - 18*l - 16. Determine h(-15).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -160 divided by -160\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a hour in seconds?\nAnswer: 37800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5833871 micrograms to kilograms.\nAnswer: 0.0000000005833871","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + f = 116226 + 46397, 243912 = 3*q + 4*f. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 237, 559, 881, 1203?\nAnswer: 1525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (-14 + 8 - 5).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000733 to 7 decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-22)\/4)\/(((-33)\/(-18))\/((-13098)\/531))?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -2*a**2 - 38*a - 30. Give v(-15).\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n when three letters picked without replacement from nnbnbwnwwbwnbwbbwnw?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**2 + 40*j - 211. Suppose -1047 = 23*l - 1829. What is t(l)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*o - o - o + 204 - 12*o + 6*o as c*o + q and give q.\nAnswer: 204","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttr when three letters picked without replacement from trrrrrrtrttrtrgrrt?\nAnswer: 55\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 1174368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (4\/(48\/(-9)))\/(1\/(-48))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 32 - 21. Let y = 28 - o. What is the remainder when 58 is divided by y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 58*h - 11. Is i(6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b\/(b\/b**(-3\/11))*b*b*b**0*b*b)\/((((b\/(b\/b**(-2)))\/b*b)\/b)\/b)**(-17))\/((b**(-2\/9)\/b)**(-25)*(b*(b**(2\/3)*b)\/b)**(-2\/37)) assuming b is positive.\nAnswer: b**(-343363\/3663)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/25346 and 22\/10469?\nAnswer: 481574","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1057226 (base 8) to base 6.\nAnswer: -10045422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w - 4*w + 4*w)*(-w - 3*w + 3*w) + 4*w**2 + 2*w**2 - 5*w**2 - 282*w**2 - 311*w**2 + 53*w**2 - w**2 + 3*w**2 - 3*w**2 + (-2*w + 5 - 5)*(-w + 2*w - 2*w).\nAnswer: -540*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1786101 + 2.288.\nAnswer: -1786098.712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-4*-1*(sqrt(140) + 3*sqrt(140)))\/(-1*sqrt(20)*1).\nAnswer: -16*sqrt(7) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*c + 25*c + 9 = 0. Let u(b) = 40*b**2 + 11*b - 89. Let l(k) = -20*k**2 - 5*k + 44. Let z(q) = c*u(q) - 7*l(q). Differentiate z(i) wrt i.\nAnswer: 40*i + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13 + 9. Let d be (-4 - -1)\/(3\/p). Suppose 0 = -d*x + 120 - 16. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 353.5201m to micrometers.\nAnswer: 353520100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -2*u**4\/3 - 2506*u**3 + 75582*u**2 - 2248730*u\/3 + 2445168 = 0.\nAnswer: -3789, 8, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 382 divide 716632?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**3 - 2*r**2 + r - 6. Let o be l(3). Suppose t + 2*t = o. Suppose 2*z - 744 = -3*h + 365, 4*z + t*h - 2198 = 0. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*(-15)\/((-75)\/10)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s**4 + 19*s**3 - 63*s**2 + 65*s - 22 = 0. Calculate s.\nAnswer: -22, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -5048910.9 to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -41 divided by -4656673\nAnswer: 41\/4656673","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 27 = -5*f, 2*b + 3*b - 32 = 4*f. Suppose b*u = 26 + 54. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 497 + -462. Suppose -x = d*x. Solve 2*l + 2 = 0, 5*l = 5*q - x*q + 20 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 2 + (-3*(sqrt(891)*2*1 - (-3 + sqrt(891) + 1)) + 0)**2.\nAnswer: 324*sqrt(11) + 8061","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -5*j + 5. Let f(u) = 4*u - 4. What is -3*f(i) - 2*g(i)?\nAnswer: -2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -72372590 rounded to the nearest 10000?\nAnswer: -72370000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*c + 9*c - 221. Calculate the remainder when 115 is divided by c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.6 + -0.9. Suppose 5*m - 15 = 0, -m + 5 = 5*o + 7. Which is the third biggest value? (a) o (b) 5 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 4*n**3 + 2*n**2 - n - 2. Let x be h(2). What is the highest common divisor of 12 and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -9*t - 10. Calculate u(-3).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47871107?\nAnswer: 47871107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the third derivative of k**5\/60 + 31*k**3\/6 + 38*k**2. Let o(i) be the first derivative of l(i). Let z(h) = -2*h. Calculate o(z(w)).\nAnswer: -4*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -5*g**2 + 6*g + 6. Let j(d) = -4*d**2 + 7*d + 5. Let w(u) = 6*j(u) - 5*z(u). Determine w(-12).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13 + 16. Let a(w) = -w + 15. Let m = -12 - -21. Let k be a(m). Calculate the highest common divisor of h and k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 187 = -p, 3*f = -2*f + 3*p + 313. Let z = -48034 + 48096. Calculate the greatest common factor of f and z.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 71*u + 75*u - 12 = 0, -176*u = t - 177*u for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 57 + -7. Suppose 0 = 5*o - 5*r - f, -4*r - 9 - 13 = -o. Let s = o + -3. Which is smaller: s or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 7*a**2. Let m = 475 - 1423\/3. Let u(b) be the first derivative of 0*b + 0*b**2 + 13 - m*b**3. Give i(u(p)).\nAnswer: 28*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (2 - 1)*(-5 - -3)*-36 and 63.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/x**(2\/21)*x)\/(x\/x**(-5))*(x\/x**0)**39)**(-25))**(-3\/13) assuming x is positive.\nAnswer: x**(18325\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 644 and 56830620?\nAnswer: 1307104260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 8*g + 2. Let c be x(2). Let a(b) = b**2 - 11*b + 18. Let q be a(11). Is c at least as big as q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 187*g + 374*g - 35340 = -269*g + 260*g for g.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-five halves of a kilometer in meters?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 19 + 432 = -4*o, -700 = -5*i - 5*o. Let k be (-2)\/(-5)*(-310720)\/896. Let w = k + i. Which is the nearest to w? (a) -1 (b) 2\/13 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**2 - 15*h + 2. Let v be m(15). Suppose -v*b = g - 72, 0 = -3*b - 2*b + 25. What is the remainder when g is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17 - -23. Suppose s*q = 3*q. Solve 0 = -2*y + 2*d - 12, y + q*y + 4*d = 9 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5833775.\nAnswer: 5, 229, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13209657?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -78 - -83. Let x(t) = 2*t**2 + 5*t - 4. Let f be x(j). Calculate the remainder when 40 is divided by f\/5 - 124\/(-155).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 9608 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 3 + 40 + -45\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -94*k**3 + 33*k**2 - 47*k - 22. Let d(j) = 69*j**3 - 25*j**2 + 35*j + 16. Let b(u) = -15*d(u) - 11*y(u). Suppose 44 = 3*a + a. Determine b(a).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, h: 2, g: 4, o: 4, k: 3}. Give prob of sequence fkh.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 + -160 + 61 - -76?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-320983965724800146)\/1062684 + (-4)\/(-14). Let f = l + 302050247972. Let u = 1\/8434 + f. Find the common denominator of -93\/2 and u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 12228?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5588*m - 6486?\nAnswer: 5588","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the first derivative of -v**4\/4 + 28*v**3\/3 + 30*v**2 + 10*v - 39. Let w be k(30). Solve -3*h + m = -8 - w, 0 = -3*h - 5*m for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1\/5*g**2 - 8\/5 - 2\/5*g = 0.\nAnswer: -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 85\/(-25) - -6*(-4)\/40. Suppose -3*i = -6, -2*d - 2*i = -1 + 9. Let s be (3*-1)\/(d\/8). Sort 0, s, n in decreasing order.\nAnswer: s, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 1476 = -6*y. List the prime factors of y.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3 + 0 + (-52)\/20. Is w greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in five quarters of a microgram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 284 + 32 = 57*m - 56*m. Calculate the remainder when m is divided by 47.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001261 to six decimal places.\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -g + 3. Let a be (3\/g)\/(-1) + -1. Suppose r + 4*k - 3637113 = 862887, a = -5*k. Round r to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 1 = -3*a, 4*u + 0*a - 2*a = 10. Let o = 1 + u. Put o, -4, -1 in descending order.\nAnswer: o, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1425282985749 and 0.8.\nAnswer: 1425282985749.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -26 + 25.6. Which is the closest to 1\/4? (a) 1\/5 (b) 3 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**3 - 8*s**2 + 8*s - 11. What is q(-9)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 544*y = 516*y + 196 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93 = -44*h + 225 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -79, -170, -277, -406, -563?\nAnswer: -754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/46592 and 87\/56?\nAnswer: 46592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 110035 is divided by 27492?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 60 + 583. What are the prime factors of a?\nAnswer: 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 2 = -o, -3*g - 4 + 14 = o. Suppose 2*x - g*y = -2*x + 13, 4*x = -5*y + 21. Which is smaller: 5 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*u + 649 - 489 = 0 for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 18\/24 - 43\/4. What is the units digit of ((-37)\/(-2))\/((-5)\/i)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u - 7 + 11. Suppose 3*n - 5*t = 117, t - u*t - 41 = -n. Calculate the highest common factor of 4 and n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 16*q - 1. Determine v(2).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 281*s - 300 = -268*s + 529*s for s.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -214 + 10*r - 31 - 549 - 12*r.\nAnswer: -2*r - 794","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1000 - 1214?\nAnswer: -214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes before 2:41 AM?\nAnswer: 7:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -73, -173, -349, -595, -905, -1273, -1693?\n\"Answer: d**3 - 44*d**2 + 25*d - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**2 - 14*z - 116. Calculate c(20).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d**2 + 2*d**2 + 2*d**2 + 2*d - 2*d - d**2 + (-3 - 3 + 4)*(d**2 + 2*d**2 - 4*d**2))*(12 - 12 + 5*d).\nAnswer: 10*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/5? (a) 2\/43607 (b) -0.1 (c) 0.18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -291 + 445. Let w = d + -151. Solve -6*o + 7 = -i - 2*o, -5*o = -w*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 8*s**2 + s - 1. Let x be b(1). Suppose -4*f + 36 + x = 0. Calculate the remainder when f is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 + (-23 + 4 + -15 - 21)\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 + -473. Let g = o + 453. Let v(m) = -m**3 - 10*m**2 + 11*m - 4. Calculate v(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 809418 is divided by 23125?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3059, 24585, 83047, 196913, 384651?\nAnswer: 664729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -286290\/59 or -4851?\nAnswer: -4851","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -718*d - 2989*d - 2553*d as w + a*d and give a.\nAnswer: -6260","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 3*t + 5. Let m(p) = 5*p + 9. Calculate 11*h(q) - 6*m(q).\nAnswer: 3*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 371 a factor of 295467806?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 574 - 610. Let a = -7486 + 7449.928. Let b = a - j. What is b rounded to two dps?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 2*v**2 - 18*v + 2. Let g be b(9). Solve w - g = -1 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18361, -18690, -19019, -19348, -19677, -20006?\nAnswer: -20335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(170)*2*5*2*4)\/(-2*-4*2*sqrt(1440)))**2.\nAnswer: 10625\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.6 + -1.1. Let o = 60 + -60.2. Put u, o, 3 in descending order.\nAnswer: 3, o, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.3 - -1.2. Let y = u - -0.5. Let r = y + -3.0000035. What is r rounded to 6 dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes after 3:52 PM?\nAnswer: 5:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 2*a + 1 = -o, -649*a + 2*o = -648*a - 2 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -24 + 34. Suppose -6*s = -s - d. Suppose z + 13 = s*z. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -20*b**2 - 322*b - 14. Let l be t(-16). Solve -4*j + 2 = 2*f - l, 0 = 4*f - 4*j + 20 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5935193 - -11?\nAnswer: 59351a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1036264 or -1036242?\nAnswer: -1036264","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1798 (base 16) in base 9?\nAnswer: 8251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - -2 - ((-9 - -9) + 11)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -144 divided by 36.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -7153 (base 13) to base 12\nAnswer: -9054","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 77\/50 - 181\/150. Suppose -4*h - 2 = -6. What is the fourth smallest value in 1\/7, h, v, -5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3152*f + 6342*f - 3173*f + 118 + 0*f + 3*f + 0*f + (6 - 2 - 2)*(3*f - 4*f + 2*f) as h*f + s and give s.\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11342*z + 6964 + 74218 + 10035 = 1689*z for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.22 - 0.12. Let l = 36.8 - 37. Sort 5, -4, l, u in ascending order.\nAnswer: -4, l, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -14551 - 5?\nAnswer: -15000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -6*q - 36. Let i(m) = -m - 6. Determine -34*i(x) + 6*y(x).\nAnswer: -2*x - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r + r + 100. Let i = -15 - r. Solve 0*d + 4*d - 4*x = -8, -d + 5*x - i = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1514 + 2349. Is 4 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**3 + 4*o**2 - 4*o + 4. Let t be c(-5). Let v = -21 + 21.017. Let w = v + -2.017. What is the third smallest value in t, w, -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 129\/144400 and 1\/144400?\nAnswer: 144400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14064566.\nAnswer: 2, 7032283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 + -1. Let g(n) = -4*n + n + 5*n + n - q. What is the units digit of g(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26341614 divided by 39.\nAnswer: 675426","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 426?\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6768.\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44 = -47*x + 257 - 72 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 577*n**2. Let x(v) = -51873*v. Determine x(d(w)).\nAnswer: -29930721*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -6*u. Let d(t) be the second derivative of 4*t - 1\/3*t**3 + 0*t**2 + 0. Determine l(d(f)).\nAnswer: 12*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 2 r when three letters picked without replacement from {b: 2, r: 4, u: 1}?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26936*u + 26875*u - 54081*u.\nAnswer: -270*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 16\/5 - 4\/5*t**3 + 32\/5*t - t**4 + 16\/5*t**2 - 1\/5*t**5 = 0.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/4 (b) 30852 (c) 5431 (d) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (72*q + 79 - 79)*(9139*q**2 + 78*q**3 - 9139*q**2).\nAnswer: 5616*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i**2\/7 - 178*i\/7 - 348\/7 = 0 for i.\nAnswer: -87, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(-2))**35*(z\/(z*z*z\/z**5))\/z**(-2\/3) assuming z is positive.\nAnswer: z**(326\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*n**3 + 0*n**3 + 3*n**3 - 9*n**3 + 19*n**3.\nAnswer: 7*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 1 + 4)*(2*p + 2*p - 3*p) - 3*p - p - p + 14*p - 7 + 10*p - 22*p.\nAnswer: -5*p - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-123)\/15 - (-4070)\/1850\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p**4\/19 + 72356*p**3\/19 + 652684994*p**2\/19 - 31454021472*p\/19 + 377949045888\/19 = 0.\nAnswer: -18113, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 11310.12 to the nearest one hundred.\nAnswer: 11300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*((k\/k**(-3\/11))\/k)\/k*k\/(k*k**0)*(k**9*k)**(-11\/2) assuming k is positive.\nAnswer: k**(-602\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 53500 to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.575567 millilitres to litres.\nAnswer: 0.001575567","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -410ae8 (base 15) to base 10.\nAnswer: -3090593","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -17*s**2 - 2*s + 1. Let u(z) = -4*z - 3 - 3*z + 6*z. Let j be u(-4). What is q(j)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3298.7 + -3549. Let q = h + 269. Let a = -18.7121 + q. What is a rounded to 3 dps?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -247\/3, -2643, 1\/4?\nAnswer: -247\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*f = -3*r - 8*f + 172, -22*r + 26 = -18*r - 2*f for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -44\/5 at most 2330.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 235505527 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -308, -624, -952, -1298, -1668, -2068, -2504?\nAnswer: -2982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*f + 34*f = -237. Let h = f - 235\/3. Put -0.5, 4, h in ascending order.\nAnswer: -0.5, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23566?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 204\/7 - 198\/7. What is the closest to -0.1 in -2\/7, g, 0.3, 5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*u - 2*u - 11*u + 398 + 2*u.\nAnswer: -9*u + 398","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(91)\/(2*sqrt(1008) + sqrt(1008)))**2 + -4 + 4.\nAnswer: 13\/1296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1099130, -1098347, -1097550, -1096733, -1095890, -1095015, -1094102, -1093145?\nAnswer: -1092138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 18 = -4. Suppose 10*z - 28 = m. Let b(p) = -4*p - p + 1 - 5*p**2 + p**2 + 5*p**2. Give b(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -1. Let u be -2 + -1 + (-12 - -22). Let g(z) = z**3 - 6*z**2 - 6*z - 8. Let i be g(u). Let m(r) = 2*r - 4. Calculate i*m(d) + 4*x(d).\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 13819 + 8*q - 9*q - q**2 - 13804. Give k(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 899683 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -5 + 4 + (-8)\/(-6). Let f be 92\/72 + 12\/(-8). What is the third biggest value in x, f, 0.4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -187394, -375033, -562672?\nAnswer: -750311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((0 + 3)\/1)\/((-3)\/(-50)). Suppose 3*k - 58 = -r, 0 = -r - 5*k - 0*k + p. What are the prime factors of r?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*m**2 - 537 - 542 + 2178 - 553 - 546.\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00029893 to five dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -714*i**3. Let j be s(-1). Let a(x) = 155*x + 2522. Let w be a(-16). What is the highest common divisor of w and j?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(3\/4)\/a**(3\/2)*(a\/((a*a**(3\/2))\/a))\/(a*a**(-1\/12)) assuming a is positive.\nAnswer: a**(-13\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(2*sqrt(208) + 4 + sqrt(208))*3 - ((sqrt(208) + 1)*2 + -2 + sqrt(208) + -1 + sqrt(208))*6)**2.\nAnswer: 20160*sqrt(13) + 750564","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -9008\nAnswer: 5\/9008","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1732\/3 in -5, -397, -0.7?\nAnswer: -397","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 25 + 5. Suppose 5*b + 10 = 5*n - 20, n + 3*b + c = 0. Solve 0*w = -2*w - n for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a week in minutes?\nAnswer: 55440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s*s**(-1)*s\/s**(-1\/4)*s**1*s**(-3\/7)*s)\/((s**1\/s)\/s**0*s*s\/s**(2\/21)*(s*s**(-6)*s)\/s) assuming s is positive.\nAnswer: s**(83\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1623212?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 154 is divided by 18.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 + 174 = 8*v. What is the second derivative of -5*b**4 - b - 13*b + v*b wrt b?\nAnswer: -60*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 763 and 5665711?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31 is divided by 24.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 - 11*d**2 + 9*d - 1. Let y be v(-12). Let n = 40 - y. Sort 0, 3, n.\nAnswer: 0, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -43784*b**2*l**3 + 303*b*l**3 - 14*b*l + 2*l**2 wrt b?\nAnswer: -87568*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22 - (-8 + (12 - -5) - 2)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in k**3 + 86 - 84 + 141 + 106.\nAnswer: k**3 + 249","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 8 + 83 = 3*j, -4*a - 3*j + 71 = 0. Solve -6*v = -v + a for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1343 is divided by 446?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -136 = -20*b + 16*b. Calculate the greatest common factor of b and 85.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4739 + -4734.825. Round c to 1 dp.\nAnswer: 4.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-42274)\/(-3))\/((-6)\/(-9)). Suppose -s = -9*c + 22990. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**2)**28)**(-6)\/(((h\/((h*h**(1\/6))\/h))\/h)**41)**(-2\/125) assuming h is positive.\nAnswer: h**(62959\/375)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 + (-168 - (9 - 21)) - -19) + 20?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -10, -0.5, 10.\nAnswer: -10, -6, -0.5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -10*c**2 + 63*c - 13. Let g(m) = 5*m**2 - 36*m + 6. Let t(p) = -9*g(p) - 5*z(p). Determine t(-4).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/2 + 2\/1. Suppose 4*p - 2*x - 27693 = -x, -5*p = -h*x - 34614. Suppose -p = 5*o + 49576. What is o rounded to the nearest one thousand?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llx when three letters picked without replacement from {n: 1, l: 4, r: 2, h: 1, x: 3}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5044489 to the nearest integer?\nAnswer: 2246","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - 2 = h, -5*h = -3*o - 8 + 18 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -728892?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3.9514 and 16.66921065?\nAnswer: 20.62061065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 4*x + 4, -3*x - 2*x + 2*g + 10 = 0. Let j(u) = -u**3 - 4 - 10*u**2 + 19*u**2 - 4*u**2 - 3*u. Let v be j(x). Solve v*p = -p - 5 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**3\/21 - 106*s**2\/21 - 1978*s\/21 + 40678\/7.\nAnswer: 2*(s - 43)**2*(s + 33)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 630481 is divided by 478.\nAnswer: 477","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -27*i + 266. Let g be c(10). Suppose -3*v - 2 = -8. Is (-230)\/g - (-3)\/v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*w**2 - 2*w + w - 6*w**2 as j*w**2 + g + h*w and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -49.11 and 1.49?\nAnswer: -73.1739","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 879 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a - 5*u + 19, -3*a - 3*u + 5 = 2*a. Let d be (1 + a)\/((-9)\/27). Suppose 0 = 2*l, -s - d*l - 25 = -6*s. Solve -4 - 11 = -s*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a millennium in decades?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1855 times -60?\nAnswer: -11.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a centimeter in micrometers?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.06 and 9509.8888?\nAnswer: 570.593328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) -0.03 (c) -5\/24 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-15 + 9)*1\/(4\/(-22)). Let z(u) = 31*u**2 + 2 - 63*u**2 + s*u**2 + u. What is z(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 - 1000101?\nAnswer: -1000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 306 = -28*c + 79*c for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 728 and 91?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 690, 687, 676, 651, 606, 535, 432, 291?\n\"Answer: -y**3 + 2*y**2 - 2*y + 691","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-26) - 732\/(-40443)?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -5 and -0.64663583.\nAnswer: -5.64663583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 60\/(-40)*(-1)\/((-3)\/10)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) 4\/3 (c) 5 (d) 4 (e) 0.09\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**3\/7 - 5097*a**2\/7 - 20352*a\/7 - 20340\/7.\nAnswer: -3*(a + 2)**2*(a + 1695)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3048.175 grams?\nAnswer: 3048175000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5436 is divided by 155?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (80 - 21*z**2 - 80)*(4*z - 2*z - 4*z)*(2*z**2 - 2*z**2 - 2*z**2).\nAnswer: -84*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbb. What is prob of picking 3 b?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**3 + 3*l**2 + 10*l - 4. Let x(g) = -g**2 + g. Let b = -3 - -6. Let t(k) = b*x(k) - s(k). List the prime factors of t(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -134207, -134254, -134335, -134450, -134599?\n\"Answer: -17*c**2 + 4*c - 134194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k\/k**(-7\/10)*k*k\/(k*k**(-1\/19)))**(2\/55) assuming k is positive.\nAnswer: k**(713\/5225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 2 - 2*b - 2. Let a(n) be the second derivative of -n**4\/6 + 4*n**2 - 7*n. Let s(m) be the first derivative of a(m). Determine s(g(y)).\nAnswer: 8*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3144 + 111322313?\nAnswer: 111314114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 9, m: 5}. What is prob of sequence mmm?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/(-24) - (1 + -1). Let l = -14 - -14.9. Let x = 14.7 - 15. Which is the biggest value? (a) x (b) l (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes after 11:34 AM?\nAnswer: 7:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 8*p**3 - 9*p**2 + p - 37. List the prime factors of q(8).\nAnswer: 3491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24957971 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11012112 + -122?\nAnswer: -11020011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1485 and -1?\nAnswer: 1485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*x - 0*x. Let f = 4 - x. Calculate the smallest common multiple of 8 and (14\/8)\/(f\/20).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.519 (b) -2 (c) -0.3 (d) -1 (e) 0 (f) -2\/5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 122630?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -106*o + 918. List the prime factors of n(-6).\nAnswer: 2, 3, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 54601, 114810, 175019, 235228, 295437?\nAnswer: 355646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 333 = -4*x. List the prime factors of x.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-four fifths of a litre?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30 (base 13) to base 12.\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 3*a**2 - 10*a - 7. Suppose d - 69 = 5*j, -3*j - 165 - 92 = -5*d. Calculate the remainder when m(10) is divided by d.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4756?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29791431 is divided by 62?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -145 (b) -0.01 (c) 0.195 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 88 + 33 = 0. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000010011010101101 - 0?\nAnswer: 1000010011010101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14896 and 247?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 392 and 2156.\nAnswer: 4312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 15265275, 30530566, 45795857, 61061148, 76326439, 91591730?\n\"Answer: 15265291*z - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 294993.\nAnswer: 3, 73, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -108 - -107.9. Let y = 0 + 0.4. Which is the closest to n? (a) -0.2 (b) y (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**2 - u + 30. Let f be (0 + 3)\/3 + -1. What is the remainder when m(f) is divided by ((-4)\/(-6))\/(3\/72)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 84.1168 milliseconds to microseconds.\nAnswer: 84116.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.06 in -9, -4\/7, 2, 0, 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**3 - 70*g**2 - 68*g + 147. Calculate the remainder when 309 is divided by v(-69).\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**3 + 87*k**2 - 3*k + 255. Determine q(87).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 42 and 5047581?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6 and 1441014.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -3*l**2 - 4*l + 9. Determine c(3).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llddsssdslds. Give prob of sequence lls.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1372, 2740, 4108, 5476?\n\"Answer: 1368*k + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**2 - 77944*p + 89641240.\nAnswer: -2*(p - 1118)*(p + 40090)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes before 7:17 AM?\nAnswer: 4:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 233*y**2 - 3*y**3 - y - 5*y - y.\nAnswer: -3*y**3 + 233*y**2 - 7*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 - -1. Let s(b) = b**2 - 52. Let j(l) = -l - 1. Let f(g) = -3*j(g) + s(g). Let d be f(6). What is the highest common divisor of z and d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, l: 1, s: 3}. Give prob of sequence yss.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -208 - -205. Put 0, t, -19 in descending order.\nAnswer: 0, t, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 1 = 7. Let b = v - -4. Let c(t) = -8*t**2 + 2*t**2 + 8*t**b. Let w(s) = 4*s. Give c(w(q)).\nAnswer: 32*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q + 18. What is i(23)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-5*(sqrt(17)*-1)**2 - (-3*sqrt(2057))**2).\nAnswer: 92990","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*h**2 - 6*h**2 + 2*h**2 + h**2 - 3*h**2 + 0*h**2 + (8 - 10 - 6)*(2*h**2 + 0*h**2 + 2*h**2).\nAnswer: -36*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -106 (base 9) to base 12\nAnswer: -73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2121 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 2) + 10 + -5 - 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:22 PM and 1:46 AM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -3*z**2 - 507*z - 3122. Calculate g(-163).\nAnswer: -188","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the first derivative of -h**6\/140 + h**5\/210 + 23*h**2\/2 - 9. Let i(d) be the second derivative of q(d). Factor i(j).\nAnswer: -2*j**2*(3*j - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2715 + -423. Let o be (-2)\/(-3*8\/c). What are the prime factors of (o*2)\/(38\/19) - 3?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 15) in base 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**2 - 10*d - 7. Let j be 1068\/(-54) - 4\/18. Let n = j - -12. Is l(n) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 169479108619 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 598 and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -14 - 778*b - 870*b + 34 + 23. Is n(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 544 and 860?\nAnswer: 116960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -i - g + 1, 3*g - 936 = 4*i - 954 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**2 - 12*b - 12. Let v = -22 - -13. Let f be z(v). Suppose -6 = -3*d + f. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) 1 (c) -1\/17 (d) -145 (e) -29\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-88)\/(-1540))\/((-1)\/(-10)). Which is the closest to -1? (a) -4 (b) n (c) 1 (d) 0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4160*b**3*o**2 - b**3 + 3*b**2*o**3 + b**2*o - 429*b + 12 wrt o.\nAnswer: -8320*b**3 + 18*b**2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -4*s**3\/5 - 298956*s**2\/5 - 1195772*s\/5 - 179364 = 0.\nAnswer: -74735, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 731 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 7\/4 of a kilogram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**2 + 2*k - 3. Let m be p(-3). Let g(q) = m*q + 2*q - 6*q - 6*q. Let d(z) be the first derivative of -z**2\/2 + 1. Give g(d(o)).\nAnswer: 10*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 116776 + -454?\nAnswer: 116322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -3\/11, 3, -0.4 in decreasing order.\nAnswer: 9, 3, -3\/11, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) 0.3 (c) 0.5 (d) 144\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-336)\/40*(-125)\/(-1400)*-88?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(1\/4)*n)**(-18)\/((n*((n\/(n*n\/n**(-2\/15)))\/n*n)\/n)\/n**(3\/2)) assuming n is positive.\nAnswer: n**(-298\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -13, 30, -2\/65, 1, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**2 + 7*h - 8. Let s be k(6). Does 13 divide (2\/(-3))\/(s\/72)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8952?\nAnswer: 2, 3, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -f*p**3*v + 2*f*p**3 + 9*f*p**2 + 290*f*p + 2*f + 2*p*v - 34*v wrt v.\nAnswer: -f*p**3 + 2*p - 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, -104, 4.\nAnswer: -104, -5, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4837, 4831, 4825, 4819, 4813?\nAnswer: 4807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 + 7.2. Which is the third biggest value? (a) j (b) 1\/2 (c) -16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 2166*s - 186294. What is p(86)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 2 t when three letters picked without replacement from rttrtrofoofofr?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1076785925?\nAnswer: 5, 647, 66571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 78432\/5 < 15685?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -437 - 1266*c + 1260*c - 435 - 431 + 1301.\nAnswer: -6*c - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 28337, 56496, 84655, 112814?\n\"Answer: 28159*g + 178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 394, -19639, -4 in descending order.\nAnswer: 394, -4, -19639","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -2*v - 2*v. Let g(m) = m + 12. Let d be g(-8). Put 1, v, d in increasing order.\nAnswer: v, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 43 + -38. Let f = -5.000097 + r. Round f to five dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 520*y**3 + 15*y**2 - 6*y + 6. List the prime factors of d(2).\nAnswer: 2, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 6191136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8782526?\nAnswer: 2, 4391263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 5, 4, -10, -5, -6, -1368 in decreasing order.\nAnswer: 5, 4, 1, -5, -6, -10, -1368","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6878 micrometers in millimeters?\nAnswer: 0.0006878","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 2*y**3 + y**2 - y. Let t be j(1). Let k(o) = 3*o + 2. Let h be k(t). Solve 7*s + h = 3*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*-6.545\nAnswer: -1.309","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/8 of a millennium?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -858362 from 1857.85.\nAnswer: 860219.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2062.9 + -2533. Let b = 510 + l. What is b rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.85 - 0.35. Let o = 29.2 + w. Let v = o + -23. What is the second smallest value in 3\/7, -3\/2, v?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -74, -266497\/4, -1 in descending order.\nAnswer: -1, -74, -266497\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4399 + -4387. Calculate the greatest common divisor of k and 252.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 903?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2\/3 (b) 4 (c) -0.3 (d) 0.9 (e) 28 (f) -49\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -3*s**2 + 9*s + 5. Let k be o(-3). Let h = -39 - k. Suppose 0 = -h*b + 243 + 207. Calculate the highest common divisor of 9 and b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1651369 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 580*n**2 - 12. Let v(o) = -581*o**2 + 16. Calculate 4*c(k) + 3*v(k).\nAnswer: 577*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5401 + 8905. Let j be -6 - -9 - (1 - 0). Suppose -702 = -r - x, 5*r - j*x = -x + u. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in fourty-five quarters of a milligram?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from ttt.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 6, 0 = 5*h - 5*y + 8 - 3. Let o be 60*(-452 - -2)\/h. Suppose -3*j = -j - o. Round j to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, 824, 1 in decreasing order.\nAnswer: 824, 1, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -37, -284, -545, -820, -1109, -1412, -1729?\nAnswer: -2060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -2*b. Let m(c) = -547042*c. Give y(m(o)).\nAnswer: 1094084*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 17*i**2 + 14*i - 13. Let n be g(1). Suppose -11*u + 0 - 22 = 0. Put n, u, 2 in decreasing order.\nAnswer: n, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-5))\/((-61)\/(-915))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1943682284 to the nearest integer?\nAnswer: 44087","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 172 and 14276.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**3 + n. Let o(u) = 5*u**3 - u. Determine 3*o(c) + 3*w(c).\nAnswer: 12*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1970161\/84619886 - 62\/32773. Find the common denominator of -13\/2 and n.\nAnswer: 2582","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-7) + (-6650)\/931.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/8*(-4)\/(-3)*21\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**2 + 8*f - 10. Let i be w(-9). Let s = -6.1 - -6.5. Let o(q) = q**2 + 5*q + 2. Let g be o(-5). What is the nearest to g in 2, s, i?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 368? (a) -0.1 (b) -7 (c) -4 (d) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(-2)\/4*-2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12684 + 5029. Let m = r - -10418456\/1361. Let h = m - 129313\/24498. What is the common denominator of -21\/8 and h?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 155*g - 95. Let t(l) = -76*l + 47. Let u(o) = -o**3 - 10*o**2 - 14*o - 50. Let x be u(-9). Let m(f) = x*t(f) - 3*j(f). Differentiate m(d) wrt d.\nAnswer: -85","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -431 + 426. Let d = -97.1 + 97. Sort 2\/3, -2, n, d in descending order.\nAnswer: 2\/3, d, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**2. Let d be u(-3). Suppose 2*h - h = 13. Suppose -27 - h = 5*p. Is d bigger than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 - -11151455?\nAnswer: 11151504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the second derivative of -11*x + 5\/2*x**2 + 1\/6*x**4 + 2*x**3 + 0. What are the prime factors of o(6)?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 391 a factor of 612360?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4663539997 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 5, z: 2, m: 5, k: 1, q: 6}. What is prob of sequence kmmt?\nAnswer: 25\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11000463 is divided by 5500190?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 298484?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 6802 divided by -3401\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -349*u - 453*u - 2 + 705*u.\nAnswer: -97*u - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 185*(112\/(-35))\/4*633\/844.\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -100674\/767 smaller than -132?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-9)\/(-7) + (-2)\/7. Sort -9, b, 5 in increasing order.\nAnswer: -9, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7171?\nAnswer: 71, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*x + v = -12*x - 5, 4*x + 2*v + 6 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13 + 14. Is -1\/31 equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 20 = -5*w. Let o(n) = -9*n**2 + 4. Let u(g) be the first derivative of 10*g**3\/3 - 5*g - 1313. Determine w*o(c) - 4*u(c).\nAnswer: 5*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 132683?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2038?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are -1584 and -1585 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**2 - 17*h - 6. Let v be z(-16). Let d(u) = 3*u - 25. Let o be d(v). Suppose o*k = -16 + 76. Solve i + k = -2*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 11, b: 6}. Give prob of picking 2 p.\nAnswer: 55\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 1 = 2*w, -4*w - 26 = 23*b - 21*b. Put 3, w, -3\/4, -0.01 in descending order.\nAnswer: 3, -0.01, -3\/4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011100011010 - 111?\nAnswer: -1011100100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(-2\/5))**(-16\/11)*(n\/(n**0*n))**5)**(-24) assuming n is positive.\nAnswer: n**(1152\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s**2 + 2*s**3 + 4*s**3 + s**2)*(-2*s + 45*s - 21*s)*(-2 + 4 + 0)*(8 + 0 - 3).\nAnswer: 1320*s**4 + 440*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 791131, 1582538, 2373947, 3165358, 3956771, 4748186?\nAnswer: 5539603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -131*l**4 - 3562*l**3 + 3562*l**3 + (30*l**2 + 26*l**3 - 30*l**2)*(-3*l + 2*l - l) in the form x*l**3 + f + r*l**2 + z*l + k*l**4 and give k.\nAnswer: -183","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8.1 + -8. Suppose -z = -3*u - 20, 2*u + 6 = 2*z - 14. Suppose -k + 3*h = 2*k + 12, 0 = -k - z*h + 26. Which is the nearest to k? (a) o (b) 4 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:59 PM and 2:45 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q + 25. Suppose -2 + q = f. What is the lowest common multiple of 7 and f?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, 1, 1.8 in increasing order.\nAnswer: 1, 1.8, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 20359 - 20360. Sort d, 7, -2, -6 in increasing order.\nAnswer: -6, -2, d, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-72)\/56*(-2)\/(-6)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 - (28 - (-45 + 34)).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 954 a factor of 274576751?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -519 + -3?\nAnswer: -521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -4*l**3 + l + 1. Let a be d(-1). Is -2 + (a + -3)*13 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2701 is divided by 572.\nAnswer: 413","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1880, 5114, 13882, 30950, 59084, 101050, 159614?\n\"Answer: 461*t**3 + t**2 + 4*t + 1414","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000095505368 rounded to 7 decimal places?\nAnswer: -0.0000955","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 462.259 - 462. What is n rounded to 2 decimal places?\nAnswer: 0.26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.839083ms in seconds?\nAnswer: 0.000839083","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/(-4)*(-160)\/60. What is the lowest common multiple of 62 and 12\/r + 2 - -5?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1371 is divided by 98?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (0 - -8) - (4 - -3)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10976 is divided by 2195?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 + z**2 + 4. Let r be m(0). Suppose 2*t - 5*k + 2 - 5 = 0, -2*k = -r*t + 14. Suppose -29 - 3 = -t*c. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 18*n - 13*n - 4*h - 13, 27 = 3*n + 4*h for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2648, -10523, -23648, -42023, -65648, -94523?\n\"Answer: -2625*f**2 - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 5}. Give prob of sequence dddd.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -13129719 - 11*r + 13129719. Let b(c) = 5*c + 29*c**2 - 5*c. Determine y(b(x)).\nAnswer: -319*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 5, -18, -55, 10 in descending order.\nAnswer: 10, 5, 1, -18, -55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**3 - v**2 - v - 1. Let i(z) = 10*z**3 + 14*z**2 + 14*z + 22. Let c(p) = 3*i(p) + 42*q(p). What is the first derivative of c(x) wrt x?\nAnswer: -36*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 50 + -53. Let o(h) = -h**3 - 4*h**2 - 3*h + 1. Let u be o(-3). Put a, 4, u in ascending order.\nAnswer: a, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -69 - -65. Is (0 + 1)*134*(-2)\/z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 4, 1, 31 in descending order.\nAnswer: 31, 4, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-2 + sqrt(275) + sqrt(275) + 0 + 5 + (2 + sqrt(1100) - sqrt(275)*3))**2*-6.\nAnswer: 1200*sqrt(11) + 7200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 10*d + 3. Let x(c) = 51*c + 16. Suppose 46*r - 86 + 405 = 17*r. Determine r*m(b) + 2*x(b).\nAnswer: -8*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*1.3.\nAnswer: -0.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-22)\/(-55) - (-28)\/5. Which is greater: x or 4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 637172?\nAnswer: 2, 159293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 29*y - 8*y - 14028. List the prime factors of y.\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q + 2 - 2)*(0*q - 3*q + 0*q) - 2*q**2 + q**2 + 2*q**2 - 3*q**2 + q - 4*q**2 - 2*q**2.\nAnswer: -11*q**2 + q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 106\/22 - (-2)\/11. Let v = d + 6. Is 9 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 22\/6 - (-1)\/3. Solve 5*t = -3*g - 27, -s*g + 9*g - 5*t = -5 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 52 and 117?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the second derivative of c**3 + 12*c - 20. Let n(o) be the third derivative of o**5\/30 - o**2. What is u(n(d))?\nAnswer: 12*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 17 = 2*u - 0, 0 = -5*u + 5. Solve g = 2*g - o for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -21\/50 in 5\/3, -2\/7, 0.3, 2\/3, -19\/3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 661473?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -523489*i**5 - 29*i + 523493*i**5 - 11*i**2 + 3*i**3 + i**3 + 134 wrt i.\nAnswer: 80*i**3 + 24*i - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6954 - 12706. Round g to the nearest 1000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the first derivative of 2*y**3\/21 - 18*y\/7 + 9. Determine l, given that b(l) = 0.\nAnswer: -3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 209095 by -155.\nAnswer: -1349","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c when three letters picked without replacement from cfcfccfxxfcc?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/6 + (-6)\/(-12). Let k = y - -21. Calculate the greatest common factor of 33 and k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -13*l**2. Let d(m) = 8*m + 3. Let v(k) = 42*k + 16. Let q(g) = -16*d(g) + 3*v(g). Calculate h(q(s)).\nAnswer: -52*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:42 AM and 2:21 AM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -250, -246, -240, -232?\nAnswer: -222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 174564?\nAnswer: 2, 3, 13, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b - 5*b - 2*b)*(10 - 3 - 2) + (2 + 0 + 1)*(-1 + 1 + 13*b).\nAnswer: 9*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 21331 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -3*s**3 + 190*s**2 + 125*s + 194. Determine q(64).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*a - 4 = -16*a. Suppose 3*k = 5*n - 239, k = a*n - 4*k - 186. What is the remainder when n is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -804\nAnswer: -5\/804","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3\/18)\/(1\/3)*-4. Let l be (d\/6)\/((-13)\/156). Let s = 3 + -1. Solve -s*f - 32 = -6*f - 5*p, -2*p = -l*f + 4 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16 - 9*n**2 + 16)*(-5 + n**3 + 4 + 0).\nAnswer: -9*n**5 + 9*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v - 18. Calculate l(-14).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -3\/2*c**3 + 3\/4 + 3\/2*c + 0*c**2 - 3\/4*c**4 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15.64 + 13.4. What is the biggest value in 9, -2, y?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*(2*1 - (-171)\/(-81))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven thirds of a century?\nAnswer: 2800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 420 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1205*s**2 - 69*s**2 - 1010*s**2.\nAnswer: 126*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 382 and 18145?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the third derivative of m**5\/480 + m**4\/192 - m**3\/24 + 211*m**2. Let t(u) = 0. What is u?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7.736+-1787267109.8\nAnswer: -1787267117.536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -8 - ((-14 - -6) + 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -272 - 150?\nAnswer: -442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 26830022?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.6847 take away 0.04074047606?\nAnswer: -12.72544047606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((8\/1)\/16)\/(3\/(-2)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 1 y when three letters picked without replacement from {h: 1, y: 11, r: 3}?\nAnswer: 33\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**3 - v**2 + 1. Let d(b) = 7*b**3 - 6*b**2 + 3. Suppose 5*a + 9 = -4*n - 12, -2*n + 7 = -a. Determine n*d(p) - 6*y(p).\nAnswer: p**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 264\/2263?\nAnswer: 264\/2263","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/903 at least 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-101 + -7)\/(-3) + 0\/(-1). Solve o = 10*o - h for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 39 = 3*b, 0*i + 2*i + b = 53. Calculate the common denominator of (i\/32)\/(2\/(-12)) and 17\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(160)*-2)\/sqrt(8))\/(2*sqrt(100) + sqrt(100)) + 5.\nAnswer: -2*sqrt(5)\/15 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*i - i + 11*i + 10 + 2*i**2 + 2*i - 3*i to the form y*i + k + u*i**2 and give k.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -47 - -52. Suppose t*p = 2*g - 0*g - 11, -3*p = -4*g + 15. Suppose -m = 4*k - 2*m - 163, 2*k - g*m = 79. What is the remainder when k is divided by 24?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 15*j**2 + 55*j - 362. What is the tens digit of w(6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*i**2 - 868*i\/5 + 344\/5.\nAnswer: 4*(i - 43)*(5*i - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 221\/376 - 10\/47. Let l = -4.37 + 1.37. Sort 0.3, i, l, -3\/4 in descending order.\nAnswer: i, 0.3, -3\/4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9037384 to the nearest integer?\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 21855 and 102.\nAnswer: 743070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-57)\/(-162))\/(4902\/774).\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**2\/3 - 712*r\/3 + 1420\/3.\nAnswer: (r - 710)*(r - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -23 - -40. Suppose -n + a = -3*z, -z - 2*z - 11 = 2*n. Suppose -v = -n*v + 27. What are the prime factors of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-108)\/(-72)*4\/9?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2085889 - 13280433?\nAnswer: -15366322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-10)\/15*(-6)\/1. Suppose -6 = -a*d + 2. Suppose -d*c + 0*c = -60. What are the prime factors of c?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.62128l to millilitres.\nAnswer: 3621.28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 49*t**2 - 386*t**4 + 384*t**4 + 64*t**3 - 1 + 48*t**2 + 1 wrt t.\nAnswer: -48*t + 384","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24 + -21 + (13 - 23)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 110189848.\nAnswer: 2, 37, 372263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10232530348.9 - 789.\nAnswer: -10232531137.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 30059 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-4)\/(-6))\/(2\/(-3)). Let l be (-18)\/(-24) + 2\/8. Let w be (0\/(i - -3))\/l. Solve w = 5*j - 3*p - 24, p + 15 = -4*p for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5512, -5, 5 in increasing order.\nAnswer: -5512, -5, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 12 or -7.6?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 58 - 57. Suppose 4*v + 5 - i = 0. What is the units digit of (v\/(-2))\/(-2*4\/(-16))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -72062 and 4.\nAnswer: -288248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 406 and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes after 7:53 PM?\nAnswer: 1:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 270*g**3 + 3*g**2 - 41*g + 43?\nAnswer: 1620","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:54 PM and 10:09 PM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 10 = -1339*d + 1334*d, 0 = -d + 4*c + 13 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 8788*k - 333806. Determine p(38).\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 2*b = 0, -2*b + 0*b + 6 = 4*q. Suppose 0 = 3*l - 0*x + q*x - 1473, 3*x = -9. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1583617570 != -1583617570?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(50\/(-75))*(-14)\/(-24)?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-11867*q**4 + 161*q**2 + 245*q**2 - 406*q**2)*(-5 + 0 + 1) as h*q**3 + p*q + f*q**4 + j + t*q**2 and give f.\nAnswer: 47468","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 11424129 to the power of 1\/3, to the nearest integer?\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/24*2\/(1 - 2).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1417 = -5*f - 14*j + 11*j, -2*f + 3*j - 550 = 0. Let z = f + 2251\/8. Which is the biggest value? (a) z (b) 2 (c) 9\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.5*0.494552\nAnswer: 1.23638","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l. Let f(v) be the first derivative of 253*v**3\/6 - 45*v - 42. Let s(i) be the first derivative of f(i). Calculate c(s(j)).\nAnswer: 253*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 216*x - 2300 = -318*x + 511*x for x.\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -55*p + 1983. What is n(36)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**2 + 11091*q + 11*q**3 - 6*q**3 + 2 - 11094*q. Let c be 2\/(2*(-1 + 2)). Let o be w(c). Solve o = -z + 1 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-21)*(p**(1\/3)\/p)\/p assuming p is positive.\nAnswer: p**(-68\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -22.75 and 1.53.\nAnswer: -34.8075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**3 - 23*x**2 - 3693*x - 2. What is u(-50)?\nAnswer: 2148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 114 and 855902?\nAnswer: 48786414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 480 is divided by 81.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -2*u**4 + 12*u**3 - 2*u**2 + 8*u. Let o(w) = -w**4 + 8*w**3 - w**2 + 5*w. Let a(d) = 5*k(d) - 8*o(d). Factor a(t).\nAnswer: -2*t**2*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -207 divided by 13926\nAnswer: -69\/4642","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -1, -2\/13, 4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-7)\/28 + (-1)\/4. What is the biggest value in k, -2\/13, -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 6.1 (b) 7 (c) 0.12 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 215 a factor of 1006608285?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(3\/10)\/(v**(-8)\/v) assuming v is positive.\nAnswer: v**(93\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/6)\/((-9)\/(-135)). Suppose -f*s = -2*u + 10, 2*u - 2*s - 28 = 6*u. Are u and -5 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17 + -13. Solve 5*r + 5*g = -40, -4*r + 3*g = -0*r + u for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.01 - -0.03. Let q = -204.9 + -58.1. Let y = -263.4 - q. Which is the biggest value? (a) 2 (b) 3\/5 (c) y (d) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*224\/21 + -12.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/14 - (1 + 28\/(-49)). Is (-3)\/(-12) + (o - (-6513)\/12) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 - -3. Suppose 0 = 2*z - 3*c - 4 - 16, t = z + 5*c + 3. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 373 and 652004.\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -134.289337145 from -8.78.\nAnswer: 125.509337145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 25*v**2 + 10*v - 15. Suppose 0 = m - 4*t - 17, t = 2*m - 0*m - 13. Let p be y(m). What is the second derivative of 2*s**3 - p - 12*s + 660 wrt s?\nAnswer: 12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45996 divided by 12?\nAnswer: 3833","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 32898, 32901, 32894, 32871, 32826?\nAnswer: 32753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 422680729?\nAnswer: 23, 47, 391009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -21 - -24. Solve -3 = h + 2*c + 2, j*h + 15 = -4*c for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.337 + -11840189916.\nAnswer: -11840189913.663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and -1143969.\nAnswer: 2287938","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3042 - 3012. What is the remainder when 148 is divided by c?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 260599437?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 1082991?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.039 - -1.939. What is the closest to 0 in f, 6\/11, -3\/2, -24?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4622*k**2 - k**3 - 4622*k**2.\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -0.1, -7.15, 0.5, -2\/13, -4?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 6*l - 230 = -2*a, 0 = -l - a + 43. Let v = 32 - 16. Calculate the highest common divisor of v and l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -35 - -38. Solve 2*i + v*i - 5 = 0, 4*r + 3 = -i for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1960 = -92*f - 6*f. Solve -a - 5*s - 4 = -f, 0 = 2*a + 2*s - 8 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -154 + 159. Suppose 0 = -y + i*y + v - 3, 5*v = -y - 23. Let u(l) = l**3 + 7*l**2 + 5*l - 2. Let n be u(-6). Solve 2*p + z - 6*z = 0, y*z = -n*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-10)\/(-6))\/((-2)\/(-42)). Let f = -13 + w. Let y = f + -6. What is the highest common factor of y and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**2 + 22*s - 13. List the prime factors of z(16).\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the first derivative of 18*b - b**4 + 2*b**5 - 1\/3*b**6 - 28\/3*b**3 - 15 + 3*b**2. Let i(x) = 0. Calculate x.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -177456 and 1874?\nAnswer: -332552544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oojo when four letters picked without replacement from {j: 2, o: 5}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -4*r - 0*s + 170, 0 = -2*r - 3*s + 81. Let x = r + -14. Solve 3*j - x = -j + 3*d, -j - 2*d - 4 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 256*u**2 + 2*u + 248. Give b(0).\nAnswer: 248","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -282 = -2*v - b, -3*v + 0*v = 5*b - 416. Suppose 0 = 5*o - 608 - v. Is o a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 37092 and 3564.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 + -572.19896.\nAnswer: -572.09896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2501183.5 rounded to the nearest 100000?\nAnswer: 2500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 6012151 (base 7) to base 10\nAnswer: 709066","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*r + 25874 - 25874.\nAnswer: 6*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.1727 - -0.209. Round f to three dps.\nAnswer: 0.036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -59 from -122732353674.\nAnswer: -122732353615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(66)\/(-2*sqrt(6)) + (3 + (sqrt(11) - sqrt(11)*2) - sqrt(11))**2 - 5*(1*4*sqrt(11))**2.\nAnswer: -827 - 25*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4\/1101 - 42811\/35232. Find the common denominator of 19\/4 and x.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - l = 7, -8*y + 10*y = -2*l - 6. Which is smaller: y or -1\/464?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the first derivative of w**2\/2 - 2*w - 11. Suppose 0 = 2*j - j + 12. Let k = j + 17. Give g(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (23 + -10 + -14)*(-63)\/3\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14963 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the second derivative of -3*x - 3\/2*x**2 - 1\/30*x**6 + 0 + 0*x**3 + 0*x**5 + 0*x**4. What is the derivative of b(u) wrt u?\nAnswer: -4*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-140 - 2*w + 140)*((3 - 2 - 2)*(0 - 3 + 1) - 32 + 9 - 15).\nAnswer: 72*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, -0.086, 0, 6, -1\/6.\nAnswer: -1\/6, -0.086, 0, 2\/3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -z**5\/3 - 32912*z**4\/3 + 625730*z**3\/3 + 450064*z**2 + 230517*z = 0.\nAnswer: -32931, -1, 0, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 144 is divided by 14?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jiji when four letters picked without replacement from {i: 2, j: 8}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/u**0*u\/u**12*(u\/(u*u**(1\/17)\/u))\/((((u**(2\/3)*u)\/u)\/u*u)\/u) assuming u is positive.\nAnswer: u**(-445\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -210, -317, -474, -681?\nAnswer: -938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 77863187 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 3, p: 2, f: 4, k: 2, z: 7}. What is prob of sequence dpk?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -63 or -12.2?\nAnswer: -63","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-5)\/(0 + 1))\/((-27)\/4833) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1357 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - 80 = -5*x, 2*x = -1969*j + 1973*j - 70 for j.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -6132*r - 30668. Determine s(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -38*z**2 + 3. Let s(m) = 3838*m**2 - 304. Let d(u) = -3*s(u) - 304*t(u). Let a(q) = q. Determine a(d(j)).\nAnswer: 38*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 68 - 70. Let d(s) = s + 4. Let g be d(0). Let z be g\/(-5) - (-3)\/15. Which is the biggest value? (a) 4 (b) z (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -115 - 14116*w + 7064*w + 7049*w + 122.\nAnswer: -3*w + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -237280.68 to the nearest 10000.\nAnswer: -240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5\/3*u + 1\/3*u**2 + 4\/3.\nAnswer: (u - 4)*(u - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -0*d - 5*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 478349?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 27 = -3. Let t(w) = -3*w + 3. Determine t(l).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 264*s - 266*s + 1684. Suppose -4*h + s = -1214. Is h a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -51812, -207241, -466296, -828983, -1295308, -1865277, -2538896?\n\"Answer: -q**3 - 51807*q**2 - q - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4614031 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*((-194020)\/2725*2\/96 - 7\/(-5)).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 5*h + 9 + 26 = 0, d = h - 7. Let t = -7 - d. Suppose -2*z = t - 9. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 - 4*t**2 + t + 1. Let d be x(-4). Let g be (-4)\/2 - (2 + d). Let w(p) = -7 + 26 - 9 - 9 - 3*p. What is w(g)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1815 (base 10) to base 16\nAnswer: -717","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 22752\/13429 + -2\/1033. Is b smaller than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 6) in base 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -8*s - 3. Give v(4).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15408\/1278865 + 6\/2995. Let o = 11541\/854 - d. What is the common denominator of (54\/(-4))\/(6\/(-7)) and o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 1, -4, 1\/3, 2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -171273288 times 0.5\nAnswer: -85636644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (145\/(-58))\/(-1 - 730\/4). Let a = -14293\/1468 - z. Calculate the common denominator of a and 79\/32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -122.86 - -122.46. Which is the smallest value? (a) 1037 (b) -2 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12*(-28)\/4200)\/((-4)\/(-15))?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1278839 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5*4*((-38)\/(-8) - 4). Let z be 44\/c + 10\/25. What is the smallest value in 3, z, -3\/4, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22868 is divided by 192.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -55672 + 115749. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0006372643 rounded to five dps?\nAnswer: 0.00064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17.60426121565 - -1023.\nAnswer: 1005.39573878435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 7, -2\/297, -5, 27?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 616709?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the second derivative of 14\/3*k**3 + 0 + 15*k + 0*k**4 + 0*k**5 + 17\/30*k**6 + 0*k**2. What is the second derivative of p(g) wrt g?\nAnswer: 204*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 447*n - 8631. What is b(19)?\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 929522 to the power of 1\/3, to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/6 and 31\/754962?\nAnswer: 754962","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r. Let s(b) = -10*b + 1. Suppose -2*w - 3*n + 11 = 0, -5*w - 2*n - 30 = -6*n. Let l(f) = w*s(f) + 22*i(f). Let m be l(-3). Solve m*h - 6 = 10 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2\/9 (b) 0.3 (c) -0.2 (d) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8805 - -2372. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 60*k*l**4 - 176582*k*l**3 - 613*k*l**2 + 73863*l**2 wrt l.\nAnswer: 1440*k*l - 1059492*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*k + 21477 = -62792. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 77438543 and -0.2.\nAnswer: -15487708.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a litre in millilitres?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 140882, 562487, 1264830, 2247917, 3511754?\n\"Answer: o**3 + 140363*o**2 + 509*o + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyyyyy. What is prob of sequence yyy?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 divided by 415?\nAnswer: -23\/415","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9436 + 9454. What is the greatest common divisor of 330 and u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 b when four letters picked without replacement from {b: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -43\/2, -5, 3, 0.0453, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**3 + 5*t**2 + 6*t + 2. Let q be v(-2). Solve -2 = -q*l - 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 141 and 188.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 127, 1236, 3073, 5638, 8931?\nAnswer: 12952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6775 and 7739575.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1070579 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 864 and 1817328?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 3, -5, 7 in decreasing order.\nAnswer: 7, 3, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**3 - 14*g - 75. Determine q(11).\nAnswer: 1102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 12 - (5 - (-7 + -5 + -5))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 5, q: 4, m: 8}. Give prob of picking 3 m.\nAnswer: 7\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -33 + 39. Let p = 2 + 3. Solve -p*f - a = 14 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30\/(-340)*-17 - -9*(-5)\/150.\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2417044 to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 19 = -9, -6 = -5*p - 3*w. Solve 0 = -p*i - 2*i - 5*f + 19, 4*f = i + 10 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47a495 (base 11) to base 6.\nAnswer: 24145125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 2*o + 15 - 15.\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-528)\/(-120))\/((-1)\/10)?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6 + -265c4?\nAnswer: -265ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 387138 and 2712.\nAnswer: 678","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 4*q = -81 - 21, -3*q - 6 = 0. What are the prime factors of m?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 24 = -3*f. Suppose -b - 1 = 2*k - 3, b = 3*k + f. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 2*z**2\/11 - 6*z\/11 - 8\/11 = 0.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 - 2)*(-1 - 57493*h**2 + 56022*h**2 + 2).\nAnswer: 5884*h**2 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5536375171 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:19 PM and 8:36 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-524)\/(-7074))\/((-10)\/36).\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.02394 * 0.3.\nAnswer: 0.007182","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12*f - 5*f - 7 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9644053 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100001100 + 1010010000?\nAnswer: 10110011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/10 and -7\/258.\nAnswer: 1290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -21\/229 - 10137\/1832. Let o = 11275\/16 + -703. Find the common denominator of o and k.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4 - 2*(-2)\/(-4). Suppose -74 = -x*o + 2*j + 2*j, -o + j = -26. Suppose -2*w + o = w. What is the least common multiple of w and 5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 758*56\/16*1 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - 16. Let g be (w\/(-10) + -3)*-2. Solve -g*u + 0 - 6 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-3) + -66*20\/(-360) + 1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -19235*a**2 - 2. Let v(g) = g. What is w(v(i))?\nAnswer: -19235*i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -58*k**2. Let w(y) = 2*y**2 + 3. Calculate w(r(c)).\nAnswer: 6728*c**4 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4549984536 minus 0.9?\nAnswer: -0.4450015464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3612)\/(-172) - (-14)\/(-4)*2. Solve -4*g + 4 = -m, -16 = -2*m - 18*g + k*g for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 670\/11725*(-20)\/1\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -k**2 + 5*k**2 - 2*k**2 + (-19 + 2*k + 19)*(-9 + 1136*k - 5 - 27*k + 14) to s*k**2 + c*k + w and give s.\nAnswer: 2220","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 4*a**3 - 17*a**2 - 15*a + 13. Let y(q) = 2*q**3 - 8*q**2 - 7*q + 6. Let c = 100 + -113. Determine c*y(t) + 6*u(t).\nAnswer: -2*t**3 + 2*t**2 + t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**3 - 8*i**2.\nAnswer: -2*i**2*(i + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -15 + -1. Suppose -42 = -w + 5*i, -33 = -4*w - 2*i + 25. Let d = a + w. Solve -3*c + 7 = d for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -549902*a. Let q(r) = -3*r + 8. Give u(q(c)).\nAnswer: 1649706*c - 4399216","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 406511.8 millennia to years.\nAnswer: 406511800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14 - 6. Let s = -8 - y. Let f(m) = -m**2 + 14*m - 5. Calculate the remainder when 36 is divided by f(s).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 684 a factor of 625093920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87*n - 82 - 566 = 483 for n.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 22 and 423127771.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 2137*x + 36335. Determine y(-17).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 - 1)*(-26*3 - 8). Let s(x) = 56*x - 9. Let z be s(4). What is the highest common factor of r and z?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 0*k - 6 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -3*v + 3148, 4*h = -v - 2*v + 3146. What is v rounded to the nearest one hundred?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 774965?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the first derivative of 5*h**4\/12 + h**3\/2 - h**2 + 2*h + 4. Let n(p) be the first derivative of g(p). Factor n(l).\nAnswer: (l + 1)*(5*l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**3 - 17*a**2 + 15*a + 22. What is k(16)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a. Let u be t(-2). Let v = 2 + u. Solve 2*r - 6*r = v for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a**5\/9 + 4*a**4\/3 + 8*a**3\/9 - 4*a**2\/3 - 10*a\/9 = 0. Calculate a.\nAnswer: -5, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 117 = 17. Let b = 152 - l. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2915408?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14 - 14. Solve w + i*w = 4 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 33480 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:41 AM and 5:52 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 59252 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a hour in seconds?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -38 + 51 + (44 - (0 + 25))\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x**(-6)*x*x)\/x*x*x*(x**3\/x)\/x)\/(x**1*x)**(-2\/25))\/(x**(3\/7)\/(x*(x\/(x*((x*x**(-1))\/x)\/x*x))\/x*x)*(x**0)**(1\/33)) assuming x is positive.\nAnswer: x**(128\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 5*a**3 + 5*a + 1. Suppose 1 - 7 = 3*h. Let t(q) = -4*q**3 - 4*q. Determine h*x(o) - 3*t(o).\nAnswer: 2*o**3 + 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17123 + 17118. Let b = 4 + -3.9. Let a be (-2 - -3) + (2 - 12). What is the nearest to b in a, j, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 27*a. Let t = 15283 + -15281. Let q(b) be the second derivative of -4*b + 0*b**3 + 1\/12*b**4 + 0 + 0*b**t. Calculate d(q(w)).\nAnswer: 27*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 0.19, -702 in decreasing order.\nAnswer: 0.19, -0.5, -702","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o - 19 - 11. Let n(y) = y**2 - 3*y + 3. Let j be n(6). Let c = o + j. Does 11 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2848\/(-2492))\/(3*(-7)\/(147\/2))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13175.\nAnswer: 5, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the third derivative of 41\/105*n**7 + 94 + 0*n**6 + 0*n**4 - 2*n**2 + 0*n + 0*n**3 + 27\/10*n**5. Find the third derivative of l(h) wrt h.\nAnswer: 1968*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25 (base 16) to base 13\nAnswer: -2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**3 + 4*t**2 - 6*t + 5. Let o be c(-5). Let u be (3\/5)\/(o\/25). Let w = -0.3 + 0.1. What is the closest to -2 in -1, w, u?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3042624 to the nearest integer?\nAnswer: 1744","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 4050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -2*a**2. Let g be (65\/20)\/1 + (-3)\/12. Let p(c) be the third derivative of 0*c + 1\/8*c**4 - g*c**2 + 0*c**3 + 0. Give t(p(m)).\nAnswer: -18*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than -2\/1816854971?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 154578 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -9*s. Let l(o) = -o - 269. What is c(l(w))?\nAnswer: 9*w + 2421","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes after 2:54 PM?\nAnswer: 2:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 8 - 4 - (-1 + (3 - 4)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -2*c - 9. Let u(n) = 30*n + 291. Let q be u(-10). Give f(q).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 118963307 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: Solve -2*u + 4*w + 22 = 0, 12*u - 18*u + 10 = 2*w for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11.27 + -12.27. Which is the closest to -1\/3? (a) 0.3 (b) 1\/7 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -15*p + 4 - 8 - 2*p - 10*p. Let s = 0 - 2. Let m be g(s). What is the highest common divisor of m and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3*(-4)\/(-30))\/((-5)\/(-25))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i - 3*i + 6*i)*(-3 - 3 + 4) - i + i - 7*i.\nAnswer: -11*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 697*k**2 + 30*k - 11. Let s(j) = -2091*j**2 - 85*j + 32. Calculate -17*d(r) - 6*s(r).\nAnswer: 697*r**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z = 4*z + 15. Let a(h) = -h**3 - 8. Let y(v) = v**3 + 7. Let n(r) = z*y(r) + 4*a(r). Differentiate n(w) wrt w.\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 7 = 56. Let x(s) = 3*s + 73. What is the remainder when x(3) is divided by b?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.92 - 0.08. Let v be (-8)\/10*5*1. What is the smallest value in -0.4, y, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1569\/25529 and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 155672755 and 44296.\nAnswer: 5537","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 48*i**2 - 3*i - 2. Let f be u(5). Differentiate -1183*d - 17*d**4 + f*d + 40 with respect to d.\nAnswer: -68*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nttnntnntnnnnn. What is prob of sequence tn?\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 304 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.9, -5, 46.05, 0.3?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2458596800 rounded to the nearest 1000000?\nAnswer: 2459000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 + (291 - (-2 + -2)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -0.3, -1456 in decreasing order.\nAnswer: 0, -0.3, -1456","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -21200101201 (base 4) in base 3?\nAnswer: -11200120200101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the second derivative of 0*j**2 + 0*j**5 + 0*j**4 - 8\/3*j**3 - 8\/15*j**6 - 7*j + 0. Find the second derivative of o(i) wrt i.\nAnswer: -192*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven eighths of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 317023?\nAnswer: 7, 45289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/72105 and 27\/1675?\nAnswer: 24155175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -2*m + 737. Is w(0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -374*g**3 - 5*g**2 + 8*g + 5. Let j(a) = 1122*a**3 + 16*a**2 - 26*a - 16. Calculate -5*j(k) - 16*n(k).\nAnswer: 374*k**3 + 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 183*q + 193*q + q**2 - 383*q + (-3 - 1 + 2)*(-3 - 7*q**2 + 3).\nAnswer: 15*q**2 - 7*q - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 13684 to the power of 1\/3, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 5*k = -45, 14*h + 3*k = 10*h - 15 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 308 = -3*j. Calculate the highest common divisor of j and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the third derivative of r**9\/60480 + r**8\/10080 + r**7\/5040 + 7*r**5\/20 - 7*r**2. Let w(c) be the third derivative of s(c). Let w(j) = 0. What is j?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**2 + 31*j - 35. Is 29 a factor of r(14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 462555?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, -9, -685, 0 in increasing order.\nAnswer: -685, -9, -2, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*f**3 - 2 + 10 - 4 - 4.\nAnswer: -3*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 + 179 + 10 + -83?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19993 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 31*j + 61. Give g(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -23*i + 25*i + 6. Let g be 0 + -7 + 4 - i. Suppose d = -1, l = 2*d - g*d + 7. Solve 3*t - l*t = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 5, 1\/2, -1\/6, 3?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -322 + 1389. Suppose 0 = -5*t + 4*x + 1331, 4*t - h = 2*x - x. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.06 - 8.94. Let g = 10.4 + n. Let k = 6.9 - g. Round k to zero decimal places.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3302 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 14741115 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 326 divide 162022?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -42, -159, -360, -651, -1038, -1527?\n\"Answer: -u**3 - 36*u**2 - 2*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(315)\/(-1*sqrt(81)))\/((sqrt(252)*-2 - sqrt(7)) + (-2*sqrt(77) + sqrt(77))\/sqrt(11)).\nAnswer: sqrt(5)\/42","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(-4) - (-4)\/16. Suppose 3*d + 1481 - 470 = p. Is (10 - 11)\/(1\/d) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-41 - -41) + (-4)\/(-2). Let j(s) = 16*s**2 + s**2 + 11*s**p. Let b(l) = 9*l + 13*l + 12*l - 32*l. Calculate b(j(a)).\nAnswer: 56*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 6 = -7*o + 4*o, -4*q - 2*o = -2. Let c be 0\/(q\/((-12)\/(-8))). Suppose c*v + 7 = v. What are the prime factors of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 127*c = 127*c + 5*a, 0 = 4*c + 5*a - 125872. What is c rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78211.67 litres in millilitres?\nAnswer: 78211670","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -2488*o - 57270. Give y(-23).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 545 + -205. What is the least common multiple of 272 and q?\nAnswer: 1360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -13, 0.4 in descending order.\nAnswer: 5, 0.4, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gi when two letters picked without replacement from itgzit?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/((-10)\/(-12))*-22*(-21)\/(-15246).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 5*h - 6. Suppose -4*d + 0*d - 1894 = -5*p, 2*p - 4 = 0. Let z = d + 536. Let s(g) = 55*g - 65. Determine z*b(i) - 6*s(i).\nAnswer: -5*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -a**3*i**3*w + 3*a**3*i**3 - 108*a**3*i**2*w - 16*a**3*i**2 - 93*a*i**3 wrt w?\nAnswer: -a**3*i**3 - 108*a**3*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - 2*j + 4 = -6*f, 5*f - 4*j = -8 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2355 divided by 5.\nAnswer: 471","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 10101010011111110100 (base 2) in base 9?\nAnswer: 1273861","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 662, -4, -114 in decreasing order.\nAnswer: 662, -4, -5, -114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34106684.\nAnswer: 2, 8526671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**2 + 17*w - 16. Let j be (-12)\/1*(-3)\/(-2). Let q be p(j). Suppose 3*s - 36 = q*d + 17, -d = 2*s - 40. Does 8 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -4, 1230, -20, 31 in descending order.\nAnswer: 1230, 31, -3, -4, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) -3\/19 (c) 5 (d) 6082\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 58*k + 209. Let p(c) = c**2 + c + 7. What is p(k)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4*12\/108 + (-338)\/(-9). Which is smaller: p or 410\/11?\nAnswer: 410\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9211*a**4 + 3*a**3 - a**2 - 57663?\nAnswer: 221064*a + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3792181.77 and 3?\nAnswer: 11376545.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 136\/6881 at most 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**4 - 2640*x**3 + 5292*x**2 - 2648*x.\nAnswer: -4*x*(x - 1)**2*(x + 662)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 + -8bb038?\nAnswer: -8bb037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 79911 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -77*n + 83. Let y(u) = -u. Let b(p) = -t(p) + 2*y(p). What is the first derivative of b(c) wrt c?\nAnswer: 75","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/15, -1, -5, 0.2, 1?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.05 (b) 0.03 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1, 2, -70 in decreasing order.\nAnswer: 2, 1, -3, -70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -7 - -147?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.2, 17, 150363, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 87966?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes after 8:52 AM?\nAnswer: 5:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 21\/1381?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3278025 is divided by 135?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 + 8. Let n(q) = -q**2 + 7*q + 3. Suppose 0*y - 23 = -5*l + 3*y, 3*l - 5 = 4*y. Calculate the remainder when w is divided by n(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 100*t + 1899. What is m(-19)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -28 or 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*s - 10239 = 9141. Which is smaller: s or -1288?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 229689955?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18771736 by 344.\nAnswer: -54569","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -21 by 26430.\nAnswer: -7\/8810","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*f - 19*f + 2736. Suppose 47*o - f = 41*o. Calculate the remainder when 264 is divided by o.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 - 11. Let y(p) = -p**3 + p**2 + 24. Let a be y(k). Calculate the greatest common divisor of a and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*m - 57*m + 30*m.\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11091?\nAnswer: 3, 3697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*g + 4*g + g.\nAnswer: 14*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**3 - 6*q**2 - 5*q - 12. Let n be u(7). Let o(y) = y**3 - 3*y**2 + 3*y - 3. Give o(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -5*y - 10353, 90*f - 3*y = 85*f + 51831. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 89464953?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 6865319 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 606069422?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 3, d: 10, f: 2, a: 1}. Give prob of picking 1 d and 2 i.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.4 (b) 2.05 (c) -2\/7 (d) 32 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 30877 divided by -17534?\nAnswer: -2807\/1594","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:43 PM and 10:03 PM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3571\/3 - 5415\/4. Let g be ((-9478)\/12)\/(2 + -1 - -4). Let z = j - g. What is the common denominator of 47\/14 and z?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -7*q + 20. Suppose 109*t + 57 = 5*s + 105*t, -4*t = 12. Suppose 150 = s*z + 24. Solve -3*h = -0*h + 5*c + 5, -q*h - 3*c - z = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -w**5 + 4*w**4 + 60*w**3 + 22*w**2 - 235*w + 150 = 0.\nAnswer: -5, -3, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 8*r**2. Let o be q(-1). Suppose 25 = o*c - 3*c. Solve 0 = c*m - 0*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8\/76 - (-432)\/228. Solve 4*u = -r + 23, -4*r + 25 - 3 = m*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -4*w + 6. Let l(x) = -2*x - 1. Let y(i) = -3*i - 2. Let u(p) = 5*l(p) - 3*y(p). Suppose 29 + 7 = -3*o. Let a = -11 - o. Give a*v(q) - 5*u(q).\nAnswer: q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8\/32 + 107\/4. Suppose -26*r + 2 = -f*r. Let j be -1 - ((-7)\/(-5) - 2). What is the third biggest value in r, j, -2\/7?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 32 = 4*o - 96, 3*o + 3 = 0. Let a = 71 - 28. Suppose n = 3*d - 32, 2*d = 2*n + a - 15. What is the remainder when w is divided by d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -56680 rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 231 - 160. Let r = s - 108. Let g be -3 + (r\/(-13))\/1. Put 2\/3, 0, g in increasing order.\nAnswer: g, 0, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 781*c**2 - 125*c - 57. Is u(13) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k - 11 = -5*y + 14, 71*k + 74*k = 149*k - 6*y + 26 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c*c**2*c))**(3\/50)\/(c**(-6\/7)*c*c*c**5)*((c\/(((c**4*c)\/c)\/c)*c)\/((c*c**(-2\/7))\/c))\/(c**(-2\/9)*c*c*c**(1\/4)) assuming c is positive.\nAnswer: c**(-57109\/6300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three fifths of a meter in centimeters?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvzvvvvvz. Give prob of picking 2 v.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1471039, 1471046, 1471053, 1471060, 1471067?\nAnswer: 1471074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 213 + -215.06. Let r = v + 39.06. Which is the fourth smallest value? (a) 3 (b) -0.1 (c) r (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -881571*h**5 + 4*h**2 - 62*h + 4702 wrt h?\nAnswer: -52894260*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -6854816.97 to the nearest 1000000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13 - 10. Suppose -2*q - 5*j = 3, v*q - 15 = -0*j - j. Does 8 divide (3\/q)\/((-3)\/(-78))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 305, 982, 2105, 3674?\nAnswer: 5689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -703964 rounded to the nearest one thousand?\nAnswer: -704000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/18*(-6)\/(-1)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0549 to three dps.\nAnswer: 0.055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - 4*l + 231 = 233, 2*t - 7 = -l for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 93.55786 micrometers?\nAnswer: 0.00000009355786","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -82*i**2*k**2*l**4 + 3*i**2*k**2*l**2 + 610*i**2*l + 3*i*k**2*l**2 - k**2 + 10*l**5 wrt l.\nAnswer: -1968*i**2*k**2*l + 600*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*w**3 + 2*w**2 - 2*w**3 - 6*w**2)*(328*w + 1755*w - 815*w).\nAnswer: 2536*w**4 - 5072*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -81991, -81993, -81995, -81997?\nAnswer: -81999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 3*p = -10, -3*p = k - 3*k - 2. Solve 2*c + 4 = k for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 - 68. Let l = x + 106. Does 25 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -78*u**3 - 65*u + 65. Let j(k) = -7*k**3 - 6*k + 6. Suppose 34*z = 12*z - 1430. What is z*j(i) + 6*s(i)?\nAnswer: -13*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 6*x - 1. Let g(t) = 4226*t**3 - 76068*t + 12678. What is g(n) + 12678*y(n)?\nAnswer: 4226*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/979 and -77\/712?\nAnswer: 7832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -93c9ed (base 16) to base 6\nAnswer: -543332113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v and 1 g when four letters picked without replacement from wfgvfwvwwfv?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 146284962, 146284957, 146284952?\nAnswer: 146284947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -296 + 1252586*o - 1252586*o + 101*o**3 wrt o?\nAnswer: 303*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -77260, -77300, -77338, -77374?\nAnswer: -77408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 67812\/13 and 5217 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, d: 7, u: 5, v: 2, r: 2, z: 1}. Give prob of sequence uvr.\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13200011 + 111?\nAnswer: -13133300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -298*j - 1032. What is the tens digit of z(-16)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -123752324257 take away 6?\nAnswer: -123752324263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.004931072649+11\nAnswer: 11.004931072649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 15) to base 4\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*v - 8*v + 9. Suppose 0 = -5*o + 10, -7 = -2*h - 2*o + 3. Let d = 42 + h. What is the highest common divisor of d and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the first derivative of c**5\/5 - 286*c**2 - 2480*c - 231. What is the derivative of a(n) wrt n?\nAnswer: 4*n**3 - 572","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5217 and 94?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1822245km in nanometers?\nAnswer: 182224500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1137*p = 1105*p + 416 for p.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**3 + 13*a**2 - 2*a + 1. Give n(-13).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-1)\/(-3))\/(13\/3861) is divided by 34.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 861, 3\/13, -21.7 in decreasing order.\nAnswer: 861, 3\/13, -21.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18890?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 2 = -7. Let z(n) be the first derivative of 1\/3*n**3 + y + 1\/2*n**2 + 0*n. Suppose z(s) = 0. What is s?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79 = -4*c + f, c - 52*f - 137 = 8*c + 57*f - 112*f for c.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*t - 54*t + 352 = 0. Let z be t\/(-10) + (-4)\/10 + -3. Do -2\/169 and z have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -33*a**3 - 2*a**2 + 4 wrt a.\nAnswer: -99*a**2 - 4*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from djdjdddddqqqqq. Give prob of picking 1 j and 1 d.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 17*m**3 - 4*m**2 + 3*m - 1. Let x(g) = 35*g**3 - 8*g**2 + 7*g - 3. Let f(v) = -2*v - 11. Let a be f(-8). Let q(s) = a*o(s) - 2*x(s). Is q(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 2 + 1, -2*u + 3*m = 497. Let w = -160 - u. Suppose -w = -d - 4*q, -5*d + d + 3*q = -253. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 219883673 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 2 l when four letters picked without replacement from lvlvvlvvvvvvvvvllvv?\nAnswer: 455\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 - 55 = -2*v - a, -2*v + 3*a = -63. Calculate the least common multiple of 40 and v.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d + 6*m - 4*m - 378, -3*d = 5*m - 242. Let x = -667\/9 + d. Let w(r) = r - 6. Let a be w(6). Is a at most x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**5\/2 - 65867*z**4\/2 + 1086490195*z**3\/2 - 61716124425*z**2\/2.\nAnswer: z**2*(z - 32905)**2*(z - 57)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1049 - -1469. List the prime factors of d.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qgg when three letters picked without replacement from ggqg?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -5*t - 4*t + 2 - t + 3*t. Let w be s(-2). What is the greatest common factor of 32 and w?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 9, q: 10}. What is prob of sequence qmq?\nAnswer: 45\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f**2 + f**2 - 3*f**2)*(5*f**3 + 5*f**3 + 2*f**3).\nAnswer: 12*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/33 and -17\/19896.\nAnswer: 218856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - g = 61, 4*b + 71 + 72 = 5*g. Let m = b + 57. Let s = -18 + m. Let k(c) = -c**3 + 8*c**2 - 9*c + 9. Give k(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 658\/1222*((-100)\/(-35))\/(-5)?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9686 - 9718. Which is the nearest to 1? (a) 2\/7 (b) q (c) -2\/3 (d) 4\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 5*m - 37. Let k be (2*1)\/((-24)\/12) - -3. Let n = 9 - k. Let d be w(n). Are -1 and d unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -200 - 10212211020111?\nAnswer: -10212211021011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 210*d**3 + 2*d**2 + 2*d**4 - 203*d**3 - 4*d**4 + (4*d**3 - 3*d**3 - 3*d**3)*(1 - 1 + d).\nAnswer: -4*d**4 + 7*d**3 + 2*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11320 + -14?\nAnswer: -11334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.5 in -0.5, 1, -2\/3, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o = 6*o - 587 + 629. What is the nearest to o in -8, -5, 0.4, 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4 - -29)*4\/10. Suppose 0 = 4*g - s - 2. Suppose -16 = -g*j + 29. Is 8 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/5, -0.1, 0?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.05 * 2.12\nAnswer: -0.106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v*v**4\/v*v\/((v*(v\/(v*v**(-45)))\/v)\/v))**(-6) assuming v is positive.\nAnswer: v**228","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 7, t: 4}. Give prob of picking 3 v.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 23*b**6*r + 443274*b**4*r**3 - 2*b**2*r - 3*b**2 + 14573*b*r**3 - 15*b wrt b?\nAnswer: 2760*b**3*r + 10638576*b*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 325 - 970 + 622*x + 324 + 321.\nAnswer: 622*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Total of -5 and 782760.\nAnswer: 782755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 3230 (base 4) to base 15\nAnswer: 10b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.48, -2\/3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 82 - -80b0b7?\nAnswer: 80b179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 646*x**3 + 153*x**2. Let d(q) = 17*q**3 + 4*q**2. Let u(b) = -153*d(b) + 4*m(b). What are the prime factors of u(-1)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2551 rounded to the nearest one hundred?\nAnswer: 2600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 20*n**2 + 7*n - 47. Let u(c) = -7*c**2 - 2*c + 16. Let v(j) = 6*i(j) + 17*u(j). Let l be v(-9). Is 6\/(24\/(-4))*359*l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-10 - -2)*1\/(-4). Let h be -50*(20\/8)\/(-5). Suppose 0*o + 5*y - h = -5*o, o - v = -2*y. Solve o - 2 = 2*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 48\/(-24)*(-1)\/6. Let j = -2 - 3. What is the nearest to 0 in j, k, 2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 4*z - 9*z = -16*m + 24, -5*z + 2*m - 31 = 0 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 286, 348, 372, 358, 306, 216, 88?\n\"Answer: -19*c**2 + 119*c + 186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r - 8, k - 4 = 5*k + 5*r. Suppose 10 = -2*f, 12 = -2*x - k*f - 8. Which is the third biggest value? (a) 5 (b) x (c) 2 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 13965, 27970, 41975?\n\"Answer: 14005*x - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2\/5, -0.8, -2\/3?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 68\/(-153) + 40\/9. Is 12 a factor of (-2)\/x + 3*433\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, -12\/7, -35?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1125 and 11781?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 103*n - 54. Let b(x) = -99*x + 52. Let j(f) = -26*b(f) - 25*w(f). Let z = 3 + -5. Calculate j(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-2*((1 + sqrt(931) + -2 - ((5 + (sqrt(931) + 1 - sqrt(931)) - sqrt(931)) + sqrt(931))) + -5)*4)**2 + -2.\nAnswer: -10752*sqrt(19) + 68793","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 7950, 15918, 23904, 31914, 39954, 48030, 56148?\n\"Answer: g**3 + 3*g**2 + 7952*g - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -4 + (-16)\/(-44) + 2 + 2. Let u be (-4)\/2 - (-6)\/2. Is u smaller than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 16) to base 5\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m = 4*h - 6*m - 22, h - 5*m = 0. Let l(s) be the third derivative of 1\/150*s**h + 2\/15*s**3 + 1\/20*s**4 + 0*s + 6*s**2 + 0. Factor l(t).\nAnswer: 2*(t + 1)*(t + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1\/2))**19\/((b*b*b**(-1)\/b)\/b)**(-5\/2) assuming b is positive.\nAnswer: b**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2351604907?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dzwznwzjzzwzzwj. What is prob of picking 1 w, 1 z, and 1 n?\nAnswer: 4\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 519 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 120 + -84. Let s(b) = 10*b**2 - b. Suppose -4*t = -3*d - 16, 7 = -4*d - 9. Let l be s(t). What is the greatest common divisor of l and x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*b + 223 - 223 in the form q + l*b and give l.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u*u\/u**0*u*u)\/u**1)**(3\/16)\/(u**1*u*u**(2\/3)*u\/(u*u**(-1))*u**(1\/3)) assuming u is positive.\nAnswer: u**(-13\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**3 - 8*t**2 + 4. Let l be o(8). Suppose -2*d + 97200000 = 4*f, 0 = l*f + 3*d + 7699052 - 104899052. Round f to the nearest one million.\nAnswer: 24000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 55\/4 of a milligram?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -17*w - 8. List the prime factors of i(-4).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3244605 - 163?\nAnswer: 3244412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 0 + -1 - (2 - 4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 111 + 41. Suppose -4*k - 200 = -3*g, g = -g - 2*k + s. Is g a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n = -50 + 30 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1211741 is divided by 449?\nAnswer: 339","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -84*y + 42*y**2 + 27*y**3 - 30*y**3 + 1567 - 1927.\nAnswer: -3*(y - 10)*(y - 6)*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h - 429 = -1794. Let t be 26\/h + 2803\/15. Round t to the nearest 10.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/15 of a century in months?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(243)*2*6 - (sqrt(243) + (sqrt(243) - (sqrt(243) - sqrt(243)*2)*-2) + sqrt(243))) + 5*6*(1 + sqrt(75)))**2.\nAnswer: 14940*sqrt(3) + 186903","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 44 + -40. Suppose 2*k + 3*a - 22 = -7, -5*a = -p*k - 3. Solve -9 = m - 3*x, -x = -4*m - 0*x - k for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 680ae - 3?\nAnswer: 680ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -75400, -301610, -678620, -1206424, -1885016?\nAnswer: -2714390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1101260194?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -3*a**2 - 1896*a - 1893 = 0.\nAnswer: -631, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**3 - 8*z**2 - 10*z. Let p be u(6). Let f = -595 - -938. Let g = p + f. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17861602 or 0.1?\nAnswer: -17861602","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 2*w**3. Let d(b) = 2*b + 13. Let v be d(-6). Let h be y(v). Solve 7*r + 3*s - 15 = 3*r, 0 = -5*r + h*s - 10 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, -2, -322, -4.\nAnswer: -322, -4, -3, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1 - -17.328\nAnswer: 16.328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (34\/119)\/(6\/(-39)) and -1 + -1 - (-1892)\/992?\nAnswer: 1736","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*v**3 - 8*v**2 - 16 + v + 16 to the form f + z*v + d*v**2 + y*v**3 and give d.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 824757984 a multiple of 6462?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**3 - 4*v**2 + 2*v - 3. Suppose t = 10 - 5. Let m be a(t). Calculate the highest common factor of 80 and m.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**2 + 12*u + 17. What is the smallest common multiple of 10 and q(-11)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d**2\/5 - 88*d\/5 - 918\/5 = 0. Calculate d.\nAnswer: -27, -17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3030, -3886, -5066, -6570?\nAnswer: -8398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 204514973?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3 + (2*300)\/2.\nAnswer: 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*i**5 + 3376*i**4 - 22848*i**3 + 55104*i**2 - 55232*i + 18432 = 0. What is i?\nAnswer: -288, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*n = -10*n + 178 - 514 for n.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:50 AM and 3:05 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -119, -235, -351, -467, -583, -699?\n\"Answer: -116*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o - 3*o + 5*o)*(57 + 122 - 31) + 2*o + 3*o - 3*o.\nAnswer: 446*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*d - d + d + (2*d + 0 + 0)*(3 + 2 - 3) + 2*d - 1 + 1)*(0*d + 11*d + 0*d) as g + m*d**2 + q*d and give m.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**3 + 8*c**2 - c - 2. Let z be 2\/((-6)\/(-8) - 1). Let q be f(z). Is 5268\/(-8)*q\/(-9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i**3 + 3344*i**2 + 51276*i - 183816 = 0. Calculate i.\nAnswer: -18, 3, 851","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21415623.\nAnswer: 3, 7138541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the first derivative of 0*r**3 + 3\/2*r**2 + 3 - 1\/4*r**4 + 0*r. Find the second derivative of h(o) wrt o.\nAnswer: -6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddfddkdddfddfddkkddf. Give prob of picking 2 d and 1 k.\nAnswer: 39\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y + 3. Let l be m(0). Solve l*h + 4 = 2*x, 2 = 3*x - x - 4*h for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 take away 16.46?\nAnswer: -29.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 677 a factor of 12339679?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02275902799 to four dps.\nAnswer: -0.0228","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 + -9. Suppose -5*y = w - 19, -5*w + 1 = h*y + 21. Are w and -3 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 3*k - 20. What are the prime factors of (-6 + k)\/((-1)\/3)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 646019*b**3 - 435827*b**2.\nAnswer: 3876114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 40 - 37. What is the smallest value in j, 1\/7, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10324 - -411454?\nAnswer: 422222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13.2 - 13.23. Let j = -27.27 + 27. Let k = f + j. What is the second smallest value in 12, -3, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*n = -4419 + 4443. Which is the nearest to n? (a) -6\/11 (b) 4\/3 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3 - 1\/((-3)\/15). Let j(v) = -5*v - 1. Let t be j(-1). Suppose p = u*p - t. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 2*q**3 + 2*q**2 - 32*q - 99. Determine z(6).\nAnswer: 213","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2*(-33)\/2*(-55)\/270 and 89\/4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -2*u - 4. Let s be g(-2). Suppose -24*w + 20*w = s. Suppose -12 = -2*i - w*i - 3*c, c - 8 = -2*i. Solve 2*t = i*t + 3 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1010 (base 3) in base 4?\nAnswer: -132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-147)\/24 + (-5)\/(-40). Let v(q) = -q**2 - 6*q. Let m be v(h). Is m less than or equal to 2\/59?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes before 10:09 AM?\nAnswer: 3:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (616 - 1221 + 610 - 694*q)*(3*q - 2*q - 3*q).\nAnswer: 1388*q**2 - 10*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 303 divided by 74086.\nAnswer: 303\/74086","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -41*w - 6. Let o be d(7). Let u = o - -417. Suppose -7*x + 3*x + u = 0. Is x a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6963 = b + 2*y - 2134, y + 8 = 0. What are the prime factors of b?\nAnswer: 13, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -2*i + 9. Let m be (2 + 1)\/(i\/48). Let b be 2 - 3\/(-1 - -4). Solve m - b = 3*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -106*a**3 - 16*a**2 - 4*a + 16. Let c(b) = -21*b**3 - 3*b**2 - b + 3. Give 16*c(w) - 3*t(w).\nAnswer: -18*w**3 - 4*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 68ee95 (base 16) in base 12?\nAnswer: 2377785","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 3*z**3 - 15*z**2 - z + 23. Let x be a(6). Let w = x + -120. Let d be 0 + 1\/(1\/8). Solve 12 = -w*t + d*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mf when two letters picked without replacement from {m: 3, x: 5, z: 1, f: 1, r: 1, e: 1}?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16 - 16.1. What is the closest to l in 0, 3\/4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1494 a factor of 56994745?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8331 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(108))*3.\nAnswer: -3 + 18*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**2 - 15*o + 12.\nAnswer: 3*(o - 4)*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 4*p + 1. Let j = 9 + -2. Let u(d) = 9*d + 3. Suppose 0 = -6*s - 2 - 16. Determine j*r(t) + s*u(t).\nAnswer: t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5285\/3 + -84341\/48. Calculate the common denominator of m and -39\/352.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 80 and 160?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 968842*d**3 + 6*d**2 + 4299116*d - 2?\nAnswer: 5813052*d + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31296, 62589, 93880, 125169, 156456?\nAnswer: 187741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46582 is divided by 2908.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.011 - 0.92?\nAnswer: -0.909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4953979 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - l. Let b = l + 2. Let j(x) = 2*x + 9. Let d be j(-3). Solve b*f = -f + d for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 171, 637, 1415, 2505, 3907?\n\"Answer: 156*t**2 - 2*t + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 + 6)*-1 + 1. Let j be (q + 7)*(1 + 0). Let f be (j - 3)*(-13)\/2. Calculate the highest common factor of f and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11024682 divided by -138?\nAnswer: 79889","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:38 PM and 10:26 PM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*i = -33*i + 2964. Suppose 0 = -i*w - 82 + 654. Solve -v + 0*t + 4*t = -w, 9 = v - 3*t for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -1 (b) -2\/163 (c) 0.2 (d) 4 (e) 2\/9 (f) -5 (g) 27\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the first derivative of -f**4\/4 - 10*f**3\/3 - f**2\/2 - 138*f + 5938. Calculate b(-11).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttt when three letters picked without replacement from tttt.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -108650 to the nearest 10000.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**3 - 4*n**2 + 7. Let a be h(4). Find the first derivative of p**3 + p**3 - 7*p**3 + 1 - a*p**3 wrt p.\nAnswer: -36*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 50*u + 151. Let r be q(-3). Let l be -102*1 - (2 + -4). Does 5 divide (r - 0)\/((-20)\/l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*j - 126 + 124 - 20*j as p*j + k and give p.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**2 + 6*p + 5. Let i(s) = 8*s - 12 - 15*s - 2*s. Let r be i(-2). Give u(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2131.\nAnswer: 2131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 12*s + 6. Let y(x) = -4092*x - 10785. Let i(p) = 2*t(p) - y(p). Differentiate i(a) with respect to a.\nAnswer: 4116","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 8*u**2 + 0*u**2 + 2*u**2 - 11*u**2. Let v(b) = -2*b - 1 - 2 + 3. Determine v(y(c)).\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2504725 to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 370112 and 357?\nAnswer: 132129984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 4*d - 2. Let l be g(4). Let p be (-1 - 1) + 9\/((-18)\/550). Let q = p - -389. Calculate the highest common factor of q and l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2010 - -11011?\nAnswer: 2001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/(-6)*5*2. Let y = 21.41 + -0.41. Let v = y - 20.7. Which is the second biggest value? (a) h (b) v (c) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 12 = -2*o + 4*o, 5*o + 5*s = 30. What is the remainder when 408\/32 + -2 + 6\/(-8) is divided by o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the second derivative of v**4\/6 + 3*v. Let n(t) = -t + 0*t - 1 + 1. Calculate l(n(k)).\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 0 + 3 + 13982*n**3 + 13985*n**3 - 27965*n**3.\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f + 1. Let g(x) = -2. Let n(k) = -k**2 + 5*k - 4. Let m be n(5). Let c be m\/8 - 3\/2. Let a(t) = -t - 4. Let o be a(-3). Calculate c*q(w) + o*g(w).\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by -1914.\nAnswer: -1\/319","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kbbb when four letters picked without replacement from {b: 3, k: 4}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 16565*y**3 + 8108?\nAnswer: 49695*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*v - 3*v + 28*v + (1 - 2 + 3)*(15*v + 6*v - 7*v) - 8 + 23*v - 10*v - 12*v.\nAnswer: 49*v - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 12*((-24)\/9 + 3) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 340*m**2 + 88*m + 59*m**2 + 14*m**2 wrt m?\nAnswer: 826","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(7) - (sqrt(7) + (sqrt(1008) + 0)**2 - sqrt(7))).\nAnswer: -6*sqrt(7) + 6048","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the first derivative of m**3 - 5*m**2\/2 - 10*m - 24. What is the remainder when 23 is divided by t(-2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oxtf. What is prob of sequence to?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -5\/4, -1420, 4?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 4079, 8177, 12271, 16337, 20351, 24289?\n\"Answer: -4*j**3 + 22*j**2 + 4060*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 2 - 3*j + 6*j**2 + 5*j**2 + 3*j + 3*j. Let g be l(-2). Let s = g - -121. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 190, 34144 in descending order.\nAnswer: 34144, 190, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -23*g + 14. Let u be l(11). Let j = 227 + u. Suppose -2*n = 3*n - 4*d + 58, -5*d = -4*n - 41. Is n at most as big as j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/2008 and 73\/502?\nAnswer: 2008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-75)\/(-60))\/(-4*(-10)\/544).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -55947, -56056, -56173, -56298, -56431?\n\"Answer: -4*o**2 - 97*o - 55846","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mnqmkmkmmqemqmqm. What is prob of sequence qme?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4184085 divided by -5.\nAnswer: 836817","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1050163 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-3)*(-273 - -269) + (-26)\/(-2).\nAnswer: 31\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (714\/105)\/2*(-50)\/(-10).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/3*(-63)\/7.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1502*u = -1427*u - 600 for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 11) to base 16.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 2913*s**2 - 39*s - 37. What is the units digit of f(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 142*x**3 - 3*x**2 + 6*x - 12. Let z(l) = -285*l**3 + 5*l**2 - 11*l + 22. Calculate -11*g(p) - 6*z(p).\nAnswer: 148*p**3 + 3*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 330*m = 538*m + 3120 for m.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-17 - 1)\/(2 + -3). Let h be (-4 + 94)*2\/5. Calculate the greatest common factor of h and w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -z**3 + 223 - 23 + 186.\nAnswer: -z**3 + 386","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - 2. Let w be (25\/5)\/(-10)*1. Which is the nearest to -1? (a) 1\/6 (b) z (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + 458 - 26. Does 18 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-10)\/(-8))\/(12\/48 + 0). Let g = -49 + 77. Suppose -g = -j + r. What is the remainder when 197 is divided by j?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 6332, 12667, 19002, 25337?\n\"Answer: 6335*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -73190242, -73190240, -73190238, -73190236, -73190234?\nAnswer: -73190232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-6)*(-2)\/(-6)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 174*c**5*d**3 + 1459*c**4*d**2 + c**2*d**3 + 2*c**2 + 6866*c - 13*d**2 wrt c?\nAnswer: 10440*c**2*d**3 + 35016*c*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + 199 - 85 = 0. Suppose -2*d - 23 = -5*c, -5*c = d - 2*d - u. Solve 0 = h + c*h + 2*x - 16, -4*h - x = -12 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -401*h**2 + 3295?\nAnswer: -802*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-131 + 103 - -36) + 25.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -184 + 184. Suppose v = -34*f + 31*f + 480. Calculate the greatest common divisor of 96 and f.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**2 + 6*p - 3. Let x(q) = -8 + q + 6*q + q + 3*q**2 + 9*q. Suppose z + z = -12. Let h(m) = z*x(m) + 17*a(m). What is the derivative of h(s) wrt s?\nAnswer: -2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 390 minutes before 7:16 AM?\nAnswer: 12:46 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -31 in -1\/2, -2\/7, 0.3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 16 = 2*f, f + 8 = 5*f. Let p(y) = -y**2 - 8*y - 4. What is p(u)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -88, -97, -106?\n\"Answer: -9*r - 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26866, -53680, -80494, -107308, -134122, -160936?\nAnswer: -187750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a + 4*i - 92, -2*a - i = -59 + 11. Let j = 74\/3 - a. Let t = -1.4 + -0.6. What is the third smallest value in j, t, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 51\/506 and -23\/7237?\nAnswer: 3661922","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22020, 22618, 23212, 23796, 24364, 24910, 25428, 25912?\nAnswer: 26356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6 + -2 + (-46 - -42). Is 5\/1249 != h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 114\/6 - (-5 + (2 - 3)) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2130 + 4?\nAnswer: -2121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1021 + 101?\nAnswer: 1122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12859657 to the nearest integer?\nAnswer: 3586","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2293567028 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-1)\/2 - -1)*-4. Let h be b\/5 + (-22)\/(-5). List the prime factors of (-1)\/(-2) - (-46)\/h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3 and 1041.\nAnswer: 1038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 2*g. Let r(q) be the first derivative of -9*q**3 + 42. What is p(r(u))?\nAnswer: -54*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-4)\/(-6))\/((-28)\/(-167496))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**4 - 885*v**3 + 5391*v**2 - 8127*v.\nAnswer: -3*v*(v - 3)**2*(v + 301)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -41680, -83353, -125042, -166753, -208492?\nAnswer: -250265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 196\/(-49)*(-2)\/32*-12.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 2*c - 18 + 38 - 6*c - 10.\nAnswer: -8*c + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1895185966?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 15*l**2 - 23*l**3 - 12*l**2 - 3*l - 2*l**2 - l**2. Let s(z) = 68*z**3 - z**2 + 8*z. What is 8*q(v) + 3*s(v)?\nAnswer: 20*v**3 - 3*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15003*b - 15003*b + b**3.\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003367 to 3 dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x + 13. Let q be v(8). Suppose -4*t = -2*a + 8 + 30, -5*t + q = 0. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18a06 (base 15) to base 10\nAnswer: 79881","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*v = -95*v - 269500. Is -1749 <= v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 23215 to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -9*u + 12. Let i(j) = 1. Let x(h) = h - 1. Let l(z) = i(z) - 5*x(z). Let p(b) = -7*l(b) + 4*w(b). List the prime factors of p(0).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -105 and -8.\nAnswer: 840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 200 - 204. Let j be 3*-1 - (-12)\/8. What is the second smallest value in a, 0.4, -1\/6, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 334069 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -7*w - 106. Let k be y(-20). Let g(d) = -d**3 + 34*d**2 + 2*d - 15. What is the remainder when g(k) is divided by 16?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 836?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 45 from 2.0526.\nAnswer: -42.9474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -246*t + 297*t - 12495 = 0. What is the remainder when t is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.26 + 0.26. What is the closest to l in -6, 1\/4, -1.1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 25 + -36. Let x(r) = r + 2. Determine x(p).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:55 AM and 8:39 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -66 + 1206?\nAnswer: 1110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(396) + 6*-2*2*sqrt(11))**2.\nAnswer: 108*sqrt(11) + 3573","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:50 PM and 2:03 AM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -46\/67901?\nAnswer: -46\/67901","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*j - 461482 = 39049. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 + 2)*(3*x + x - 3*x) + 2*x + 4*x - 7*x to the form h*x + o and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23519 is divided by 2565.\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 78.55 and -903?\nAnswer: -70930.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 35.971 + 0.029. Let q = z + -34. What is the smallest value in -1\/4, q, 3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/2751 (b) -11 (c) -0.1 (d) 1 (e) -3\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 6*a - 9. Let x = -1075 - -1071. What is m(x)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in l**3 - 394*l + 20 - 279*l - 39 + 19.\nAnswer: l**3 - 673*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3461998457?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -71*s**3 - 11*s**2 - 175*s. Let y(t) = -14*t**3 - 2*t**2 - 35*t. Let c(b) = 2*w(b) - 11*y(b). Find the second derivative of c(j) wrt j.\nAnswer: 72*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 57764 = -3*g - 131113, g + 3*c = -62948. Let l = g + 121957. What is l rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cooo when four letters picked without replacement from ooooooooooccooooccoc?\nAnswer: 455\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-9\/8)\/j**(-21)*j**(-12)\/(j\/j**(-4\/9)) assuming j is positive.\nAnswer: j**(463\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**2\/3 - 1982*r\/3 - 165525.\nAnswer: (r - 2207)*(r + 225)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**2 - 3*w + 5. Let x be s(0). Let b(f) = 0*f + 6*f**2 + 0*f + 0*f - 21 - x*f. Let a be b(-5). Calculate the greatest common divisor of a and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dwk when three letters picked without replacement from {d: 2, k: 1, w: 4, o: 8, p: 1}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -2\/3756245?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together 4 and 39.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -965 - u**2 + 2913 - 988 - 998 - 41*u + 15*u. Calculate r(-25).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 109*0.01226\nAnswer: 1.33634","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.054 - 0.026. Let x = -0.079936 - p. What is x rounded to five decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 729 is divided by 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + q + 3, 0 = -t - t - 3*q + 16. Suppose 4*b + 2*a = -71 + 13, t*a = -4*b - 49. Let s be (-28)\/(-13) + b\/104. Solve 3*v + 3 = s*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**3 + 36*d**2 + 35*d + 11. Suppose -11*b + 70 = 455. Calculate r(b).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(272) + 1) - (0 + (sqrt(272) + sqrt(272)*-1 - sqrt(272)))) + 3)**2.\nAnswer: -8*sqrt(17) + 273","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 831865481 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -6*a - 10. Let t(i) = -i - 2. Let z(p) = 11*t(p) - 2*x(p). Let l(w) = -29*w - 94. Let s be l(-13). Let j = 279 - s. Determine z(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 74 - 72. Let l = -3 - -6. Suppose 124 = l*d + 34. Solve 5*t - 5*u - d = 0, 4*t - u - n*u - 21 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 210\/49 - (-2)\/(-21)*3. Suppose 4*o = 5*y + 3*o - 184, -5*o = -a*y + 143. What is the remainder when 108 is divided by y?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 30 and 1610970.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**2 - 2*m - 4. Suppose 0 = -p + 478 - 472. Let c(h) = -2*h**2 + 2*h + 5. Give p*c(d) + 7*o(d).\nAnswer: -5*d**2 - 2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes before 10:24 PM?\nAnswer: 5:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, 0.3, -0.2 in decreasing order.\nAnswer: 1, 0.3, 0, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and -18\/3379 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3701 and 17.\nAnswer: 62917","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-35)*882\/(-54)*(-21)\/14?\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*(j\/(j\/(j*j\/j**(-10)*j)))\/j)**(-38) assuming j is positive.\nAnswer: j**(-494)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 2*i - 90 = 0. Is 56\/252 - ((-2498)\/i - 1) a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**2 + l. Let j(y) be the first derivative of 14*y**3\/3 - 2*y**2 - 4*y - 5272. Calculate -6*i(f) - j(f).\nAnswer: -8*f**2 - 2*f + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 102*p - 74. Let m = 356 - 353. Is 8 a factor of f(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-9))\/(12\/54).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**4 - 150093*j**3 - 9463797*j**2 - 198795303*j - 1391761602.\nAnswer: 3*(j - 50094)*(j + 21)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 + -3108?\nAnswer: -3109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -140313, -280569, -420771, -560925, -701037, -841113, -981159?\n\"Answer: -v**3 + 33*v**2 - 140348*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(1377))**2 + sqrt(1377) + (sqrt(17)*-3)**2*1.\nAnswer: 9*sqrt(17) + 5661","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-9 + (16 - -5) - 27) + -3 - (3 + 0)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 13*c + 11*c + 2 = 0, 5*q = 5*c + 45. Let j(o) be the first derivative of -5\/3*o**3 - 1\/4*o**q - 3*o - 5\/2*o**2 - 3. Determine j(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -22 - -24. Suppose -g*r - 27 - 7 = -2*t, 5*r = -4*t + 95. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17223?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(2736) - ((sqrt(2736)*1 - sqrt(2736)) + -4) - (-2*sqrt(2736) + -3)).\nAnswer: -180*sqrt(19) - 35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -481\/188750 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 2 + -4 + 8 - 8?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1021300031 (base 4) to base 2.\nAnswer: -1001001110000001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (2*5*(-2)\/(-4))\/(-1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 998183587 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.1 (b) -1\/9 (c) 3 (d) -70629\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 79 + -76. Solve -12 = x*r - 6 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + q = 4. Suppose 0 = 3*f - 5*f + 8. Suppose 2*m - f*u = 20, -3*u = q*m - u - 8. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 592121 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the second derivative of -1\/6*u**3 + 0*u**2 + 0 - 37*u. Let z(s) = -2*s**2. Give z(m(d)).\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -5*n**2 - 19*n + 11. Let v(y) = -2*y**2 - 9*y + 6. Let m(c) = 7*v(c) - 3*x(c). What is the units digit of m(10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32063546 take away -3?\nAnswer: -32063543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 47 - 49. Let j be (1 - 1)\/1 + 1 - c. Let s = -13 + 8. Put s, 1, j in descending order.\nAnswer: j, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 63 and 527919.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the second derivative of 4*f**3\/3 - 507*f. Let u(r) = 0 + r**2 + 0. What is u(q(z))?\nAnswer: 64*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/12*(-108)\/(-45). Which is smaller: -806 or t?\nAnswer: -806","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 1\/8, 747, 5, 2\/3, 1\/2.\nAnswer: 1\/8, 1\/2, 2\/3, 5, 7, 747","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 34405517 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 5*f**3 + 4*f**2 + 7. Let y(c) = -c**3 - c**2. Let l(j) = i(j) + 4*y(j). Let t = 3 - 1. Let q be 2 + (-4 - t\/(-1)). Calculate l(q).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*c - 16*c + 496 + 62*c - 25*c - 496.\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 304*q = 308*q - 32. Suppose -3*l = q*l - 4*l. Is l greater than -2\/357?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 990 and 110.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/((j*j**(1\/21)\/j)\/j)*j\/j**(-6))**46\/((j\/(j\/j**(-1)))**(-2\/133)*j**(2\/15)*j*((j*j**6*j)\/j)\/j) assuming j is positive.\nAnswer: j**(807299\/1995)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a**1*a)*a\/a**(6\/11))**(-28) assuming a is positive.\nAnswer: a**(168\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 6*j - 2. Suppose y + 4*y = -j*t - 22, 2*y = 2*t - 12. Is -2 - (t - (-2272)\/(-4)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2256457, 9025791, 20308009, 36103111, 56411097, 81231967, 110565721?\nAnswer: 144412359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*t - t. Suppose 3*d - t*v + 9*v = 11, 4*v = 4. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 + 6. Let c = -19484 + 19496. Solve n - m*n = -c for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/52 and 53\/4576?\nAnswer: 4576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - 50 = -4*u + 2, u + 5*j - 61 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 224 - 514. Is (h\/(-15))\/((-4)\/(-42)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/(-25))\/(1\/15)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3\/4, 0.1, 5, 3.14?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-3)\/(-9)*0)\/2. Find the first derivative of 4 - 3 + 3*r**2 + c + 6 wrt r.\nAnswer: 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**2 + 32*z - 207. Let w = -406 + 429. Let d be k(w). Solve 0 = -3*j - d*j + 9 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 460254 and 316.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*r + 2*r + a - 10, 165*r - 8 = 317*r - 156*r + 4*a for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 12698965 a multiple of 235?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -101101111010101001101 (base 2) in base 3?\nAnswer: -2211102220112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 82243868*h**2 - 312591059?\nAnswer: 164487736*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c - 31 = -2*d, 706*d - c = 704*d + 11 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*4*(4 + (1*sqrt(68)*5 - sqrt(68) - (1 + 1 + sqrt(68))) + 4))**2.\nAnswer: 4608*sqrt(17) + 41472","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 916292 and 40820.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*r - 11*r = 10 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-2\/5)\/u)\/u**(-1))**(-2\/5) assuming u is positive.\nAnswer: u**(4\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 - (2 + 0) - (7 + -845). Let b be 3 + -2 + h - -3. Suppose 4*i - 2*z - 1036 = 0, b = -5*i - z + 2134. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 11 = -2*s, -7*s + 4*s - 3*c - 21 = 0. Let p(b) = -b + 2. Let v(g) be the third derivative of -g**4\/8 + 2*g**3\/3 + g**2. Give s*v(w) + 5*p(w).\nAnswer: w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the first derivative of i**4\/4 - 3*i**3 - 8*i**2 - 3*i + 1. Let l(k) = -k**3 - 17*k**2 + 18*k + 11. Let n be l(-18). What is the tens digit of y(n)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -8*s**2 + 2*s + 2. Let j(g) = -5*g**2 + 5*g + 3 + 2 - 12*g**2. Let h(k) = 2*j(k) - 5*z(k). Let o(y) = 2*y**2. What is o(h(l))?\nAnswer: 72*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-56)\/315)\/(-4))\/(-4*2\/(-24)).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**2. Let q = 13 + 17. Let h = 56 + -54. Let l(x) = 30 - q - 18*x**h. Calculate l(n(w)).\nAnswer: -18*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 23*k + 13*k - 64*k as g*k + y and give g.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 + 39?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes after 9:58 AM?\nAnswer: 2:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 57 = 33*b - 29*b, -2*w = 6*b - 88 for b.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3 and 101?\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 42065?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 36 = 2*h, 4*f - 4*h - 18 = 134. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ukuk when four letters picked without replacement from uuuuujguukjgpkpku?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*b = 36*b - 44. What is the least common multiple of 228 and b?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4049 - -6?\nAnswer: 4053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3495, -7000, -10505?\nAnswer: -14010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in z**2 - 3*z + 4*z + 5*z - 6*z.\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 127\/3 - 42. Let l = -542.96 - -543. Sort -4, l, p in descending order.\nAnswer: p, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 2*i + 3*i - 9*i - 4*i**2 + 8.\nAnswer: -4*(i - 1)*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/858162 and -4\/6377?\nAnswer: 6007134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6393, 6001, 5359, 4467?\nAnswer: 3325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8.3 - 8. Let o = 2 + -3. Let j = 0 - o. What is the closest to -1\/4 in j, -5, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21888717 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/1*1\/(7\/((-126)\/12))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 224 and 16?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - -9 - 0) + 4 - 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 541439 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, 1, 2, 3, 95755 in increasing order.\nAnswer: -3, 0, 1, 2, 3, 95755","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -4*s. Suppose y = -3*g - 4, -7*g + 3*g = 4*y - 8. Suppose -3*p + y*f = 21, 0*f + 3*f - 5 = -2*p. Give d(p).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37 + 37 - (-21 + -6).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4171099 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2, 7, 22, 53, 106, 187, 302, 457?\nAnswer: 658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2544d (base 14) to base 11\nAnswer: 62746","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1922, -7781, -17558, -31253, -48866, -70397?\n\"Answer: -1959*i**2 + 18*i + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 32 = 4*q. Suppose 0 = 3*n + 68 - 26. Let t = q - n. Which is the closest to -2? (a) 0.3 (b) 4\/5 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pmoutfpm. What is prob of picking 1 t, 1 u, and 2 p?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y**2\/6 + 3373*y\/3 + 18032 = 0. Calculate y.\nAnswer: -16, 6762","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 75 + 69 = p, -354 = -5*i - 4*p. Suppose -11 - 9 = 5*t, 2*h + 3*t + 98 = 0. Let z = h + i. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 4 + 12535*u - 39766*u.\nAnswer: -27231*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 3*g - 5. Let c(b) = -14*b + 24. Let f(q) = -2*c(q) - 11*k(q). What is the tens digit of f(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46 is divided by 30?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -115?\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-374)\/(-68) + 2\/(-4)*1. Suppose -2*p + 15 = t*f - 5*p, 0 = -f + 3*p + 15. Solve 0 = 3*g - 4*y + y - 6, f = 2*g + y + 2 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**2 + 1. Let i(c) = -58*c**2 + 4*c - 9. Let g(h) = -i(h) - 5*x(h). Calculate the remainder when g(1) is divided by 24.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w**2 + 2*w**2 - 4*w**2 + (-4 + 4 + 2*w)*(-5 + 5 + 2*w))*(0 + 0 - 3 + (-3 + 4 - 2)*(1 - 3 - 29))*(-4*w**2 + 9*w**2 + w**2).\nAnswer: 504*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -23785 - -23794.597. Let p = a - 9.6. Round p to 2 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**2\/4 + 655*o + 346656.\nAnswer: (o + 736)*(o + 1884)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 19828, 39827, 59988, 80311, 100796, 121443?\n\"Answer: 81*g**2 + 19756*g - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**3 + 4*l**2 - 4. Let x be a(3). Let f = 3 - -3. Suppose 47 = 3*m - w, 0 = -3*w - f. Solve -x*h + m = -10*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 6, -13, -56, -123?\n\"Answer: -12*s**2 + 17*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-511143)\/370 + 21\/(-35). Let d = b - -1382. Let k = 193\/666 + d. What is the biggest value in -2\/7, k, -0.1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/6)\/((-7)\/(-63)). Suppose -20 = h + j*h, q - 2*h = -8. What are the prime factors of (14\/(-4) + 2)\/(1\/q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3480732 divided by -290061\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 35 + 36. Sort 36, 4, n in descending order.\nAnswer: 36, 4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 + -1. Find the common denominator of 0 - (-2 - -27)*(-2)\/(-16) and 270\/64 - f - 0.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:13 AM and 4:58 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3011?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 - 11.19. Let w = -0.02 + y. Let t = -0.89 + w. Round t to one dp.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6.7 - 0.7. Let f = c - 4. Let r = 2.1 - f. What is the closest to r in 1, 2\/13, 2\/5?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/32*(-2 + 16\/2). Let z = -0.4 - -0.2. Which is the smallest value? (a) z (b) -2\/19 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -222 + 47?\nAnswer: -175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the third derivative of -47*t**5\/30 + 592*t**2. Let i(s) be the third derivative of -s**4\/24 + 5*s**2. Calculate h(i(r)).\nAnswer: -94*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1133.56 + 1115. Let v = p - 0.44. Let f = -19.0007 - v. Round f to four dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16432 * -0.299\nAnswer: 4913.168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2346.153665 rounded to the nearest 10?\nAnswer: -2350","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ybeb when four letters picked without replacement from {y: 10, b: 6, e: 2}?\nAnswer: 5\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -576352, -576354, -576356, -576358, -576360, -576362?\nAnswer: -576364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 84 + -71. Let y = -10 + p. Let x be (y\/(-66))\/(((-1)\/(-1))\/4). What is the nearest to 1 in -1, -1\/8, x?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*3*(sqrt(13) + sqrt(832))**2*3.\nAnswer: -28431","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 - 3*g**3 + (0*g + g**2 + 0*g)*(18 - 18 - 6*g) + 5*g - 5*g - g**3)*(-g - 1 + 1) as v*g**2 + a*g**4 + m*g**3 + o + y*g and give a.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13631, -13609, -13571, -13517, -13447, -13361, -13259?\nAnswer: -13141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 131*o + 286*o - 25987885 + 25987881 to r*o + n and give r.\nAnswer: 417","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -5*q + 2. Let l(s) = 10*s**2 + 15*s. Give y(l(o)).\nAnswer: -50*o**2 - 75*o + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-47 + 962 + 388)*(-6*y**2 + y**3 + 6*y**2).\nAnswer: 1303*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 240*l**2 - 20*l - 3542.\nAnswer: 480*l - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - 83 - 42. Let u = 37 - y. Calculate the highest common divisor of u and 96.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 + (-8208)\/126 - 4\/28*6.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-290)\/29*4\/(-10)*-2?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**3 - 13*a**2 + 13*a + 4. Let g be k(10). Let c = -30 - g. Suppose 0 = 8*r - 0*r - c. Does 17 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2561, 2563, 2565, 2567?\nAnswer: 2569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**2 + 3*n + 6. Let r be y(-4). Suppose -3*d = 2*d + r. Let i be ((-1)\/d + -1)*-4. Solve -2*b = -4*k - 4*b + i, 0 = -3*k + 2*b - 16 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**3 - 2*t - 2. Let k be o(-2). Suppose 4*c + w - 52 = -0*c, 4 = -w. Let h be 32\/c - k\/(-21). Solve -y + 2*y + h = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the second derivative of b**6\/3 + 6*b**2 - 8*b. Differentiate g(n) with respect to n.\nAnswer: 40*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7981.\nAnswer: 23, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 181*s + 3*s - 3119904. What are the prime factors of s?\nAnswer: 2, 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and 1728.\nAnswer: 1728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/5132 and 5\/2705847.\nAnswer: 10823388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3178 a factor of 158702028?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20795590?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -56.749992237 - -56.75. What is g rounded to 6 dps?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 - 1 = -2*f + 2*m, -m = 5. Put 7, -3, -4, f, -2 in decreasing order.\nAnswer: 7, f, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2, 1, 3\/4, 2, -599 in decreasing order.\nAnswer: 2, 1, 3\/4, 0, -2, -599","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 578?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 2*o**2 + 74*o + 73. Let r(a) = a - 5. Suppose w + 5*b = -2*w + 18, 5*w + 5*b - 30 = 0. What is the remainder when g(-36) is divided by r(w)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the third derivative of 13*y**2 + 0*y**3 - 43\/12*y**4 - 4 + 0*y - 31\/20*y**5. What is the second derivative of h(w) wrt w?\nAnswer: -186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3\/(-9))\/(5\/(-15)). Let f be 4\/12 - w\/(-3). What is the nearest to 1 in f, -2\/5, -3\/7?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -4*g - 20, -3*x - 2*g + 15 = -3*g. Let j = 118 - 119. What is the smallest value in x, j, -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 87 (b) 43 (c) -4 (d) 0.4 (e) -2\/5 (f) 5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10185.73 + 10122. What is b rounded to the nearest integer?\nAnswer: -64","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83606033 is divided by 1478?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.6? (a) -0.4 (b) -3 (c) 5 (d) 22 (e) -5.79\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 48485, 96948, 145353, 193670, 241869, 289920, 337793?\n\"Answer: -5*q**3 + q**2 + 48495*q - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - 26 = -2*a, -289*m = 2*a - 288*m + 16 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2, 2414, -2, 0, 5, -911 in increasing order.\nAnswer: -911, -2, 0, 2, 4, 5, 2414","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(3000)*1 + (sqrt(270)*1)\/sqrt(9)))\/(-3*(-6*sqrt(160)*4 + sqrt(160))).\nAnswer: -11*sqrt(3)\/92","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17 - 8. Let q(u) = 2*u**3 - 4*u**2 + u + 2. What is the least common multiple of q(0) and l?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 15\/(-9) + (-14)\/(-6). What is the closest to 1 in -6, -3\/4, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 2286 = -v - 1332, 2706 = 3*n - 2*v. Calculate the highest common divisor of n and 5587.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (59 - 70) + (-6 - 1).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3828659 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*n - 12*n + 3*n)*(-3 + 4 - 2)*(n - 5*n + 2*n).\nAnswer: -46*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*k - 12*k - 184. Let d = 94 + k. Sort d, -2, -5 in ascending order.\nAnswer: -5, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-9 + 70\/20 - -5)*(-10)\/1. Solve 10*p = m*p + 5 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**2 - 13*d + 43. Let c be j(-15). Let r(g) = -5*g + 1 - 10*g + 4*g - 5*g. Let i be r(-4). What is the greatest common factor of i and c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/5312 and -7\/48.\nAnswer: 15936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/1378231944 or 0?\nAnswer: 1\/1378231944","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 265840*o + 2658406. What is y(-10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 3991, 3994, 3977, 3928, 3835, 3686, 3469, 3172?\n\"Answer: -2*v**3 + 2*v**2 + 11*v + 3980","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 8d - 26?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 857282 a multiple of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are 321578 and 321578 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 + -8. Suppose -3*z + 13*o - 18*o = 8408504, -2*z - 5*o - 5605676 = 0. Let l be z\/98 - p\/14. What is l rounded to the nearest 1000?\nAnswer: -29000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -2\/3955?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 1.01, 2\/19, 1.5 in ascending order.\nAnswer: -0.2, 2\/19, 1.01, 1.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7093582065?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 3*b + 43. Suppose c + 4*c = 20. What is the remainder when v(-4) is divided by c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -30, -176, -566, -1320, -2558?\n\"Answer: -20*m**3 - 2*m**2 - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((2*(-2*sqrt(45))\/sqrt(3))\/(-3*(sqrt(80) + sqrt(80)*2) + sqrt(80)))**2.\nAnswer: 323\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 + -103685?\nAnswer: -103701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*m**4 - 2*m**3 + 0 + 2 - 3 + 2*m + 3 as x*m**3 + v*m + w*m**4 + h + u*m**2 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1561 - 1158 - 1267)*(2*k + 2*k - 10*k) to the form j + c*k and give c.\nAnswer: 23916","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - 0) + -24 + 15 + -8?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**3 - 62*v**2 - 8909*v + 8970.\nAnswer: (v - 130)*(v - 1)*(v + 69)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -925*t. Let d(x) be the first derivative of x**3\/3 - 3268. Determine d(a(g)).\nAnswer: 855625*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 167 + -168. Which is bigger: q or 4\/69?\nAnswer: 4\/69","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r - 2*r + 3*r + (5 + 5 + 7)*(-2*r - 1 + 1) - r + 4*r - 4*r + 3*r - 2*r - 2*r.\nAnswer: -37*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the second derivative of -x**3\/2 - 2315*x + 2. Let q(z) be the second derivative of 1\/12*z**4 + 0*z**3 + 0*z**2 - z + 0. Determine o(q(c)).\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1457 and 1173443.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jr when two letters picked without replacement from frfaqjtfattaftqffaf.\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 118, -48, 3, 6, -4 in decreasing order.\nAnswer: 118, 6, 3, 0, -4, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 188 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**3 + 22*h**2 + 20*h + 65. Let r be z(23). Which is the nearest to -2? (a) r (b) 1\/5 (c) -2 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hithhyhhttytmhh. What is prob of picking 1 y, 1 m, and 1 t?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22655 and 292215?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -4 - 1. Let t = 4 + i. Solve -w - 3*b = 9, t*b + 7 + 2 = 3*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 137455032, 137455033, 137455034, 137455035?\nAnswer: 137455036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11942 or 11941?\nAnswer: 11941","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from prirr. Give prob of picking 2 i, 1 p, and 1 r.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - w + 7 = 0, 5*w = 8*m - 74 + 57 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:12 AM and 9:12 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yah when three letters picked without replacement from {g: 2, x: 1, y: 1, h: 1, a: 2}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the third derivative of t**6\/60 - 7*t**5\/60 - t**4\/6 + 3*t**3 + 366*t**2. Calculate w(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -4020, -4012, -4004, -3996?\n\"Answer: 8*z - 4028","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(153) + -2*sqrt(153))*-5 + sqrt(153))\/(-2*sqrt(576))*1.\nAnswer: -3*sqrt(17)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -14*q. Calculate c(4).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 - -2727.4548756374?\nAnswer: 2727.6548756374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*s**2 + 0*s**2 - 2*s**2 + (0*s - s + 0*s)*(3*s - 6*s + s) - 2*s**2 + 3*s**2 + 0*s**2 + 18 + 22 - 39 - 2*s**2 to i*s**2 + q*s + a and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.0399791 - 0.04. What is z rounded to 6 decimal places?\nAnswer: -0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 1867*z - 1863*z - k - 434, -208 = -2*z - 4*k. Solve -z*h + 116*h - 24 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 35 and -20161.37?\nAnswer: 20196.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9 and 86?\nAnswer: 774","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 35, 1270, -5, 1 in ascending order.\nAnswer: -5, 1, 3, 35, 1270","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -293*a**3 + 2*a**2 + 52*a + 18.\nAnswer: -1758*a + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14398 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n + b - 25, 4*n - 41 = 5*b + 2. Solve -8*j + 2*j = -n for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2670992 by -13.\nAnswer: -2670992\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence klk when three letters picked without replacement from {h: 3, q: 2, k: 2, n: 2, t: 2, l: 1}?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 27\/4 of a week?\nAnswer: 1134","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 49385553?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g + 2*g + 2, -4*r + 20818 = -5*g. Suppose 12*k - r - 25986 = 0. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 3\/5 (b) 0.1 (c) 9 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 960 and 1632?\nAnswer: 16320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1509 - 1493. What is the remainder when -15*(2 + -4 + -16) is divided by n?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 3*b - 3150 = 2274, 0 = -2*b - 6. Let f = -5572803\/44 - -510947\/4. Let o = s - f. Calculate the common denominator of o and 49\/4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 40268 in 2365.6, 1, -0.5?\nAnswer: 2365.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -248295*f**3 + 494011*f**3 - 245703*f**3.\nAnswer: 13*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 - -31. Let c = w - 25. Let q(b) = -b**3 - 6*b**2 - 5*b - 7. Calculate q(c).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**2 - 18*g - 106. Let c be u(23). Factor -5*f**2 - 4012 + 4007 + c*f - 35*f.\nAnswer: -(f + 5)*(5*f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*b + 0*b = -5726. Suppose -b = 3*q - 4*q. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 554020003 to the power of 1\/2, to the nearest integer?\nAnswer: 23538","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:57 AM and 3:52 PM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 4*i = -10, -2*n + 5*i - 9 = -35. Suppose -7*h - 25 = n. Let a(y) = y**3 + 4*y**2 - 3*y - 8. Calculate a(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 2*j**2 + 5*j - 1. Let q = -36 - -33. Let m be r(q). Solve -m*p = -4*p + 4 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -216145*r**4 + 145593*r wrt r?\nAnswer: -2593740*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -216, -422, -628, -834, -1040, -1246?\nAnswer: -1452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 83536*c**6 + 884*c**3*q**2 - 786*c**2*q**2 - 151*c*q**2 + 93*c*q + 2*q**2 wrt c.\nAnswer: 10024320*c**3 + 5304*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (-11 + 14)) + (7 - -1)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -151 in -1189, -1, -1\/5, -1\/3, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -2*i**2 + 29*i - 56. Let r be y(12). Suppose -2\/7*w**r - 4\/7*w + 0 - 8\/7*w**3 - 10\/7*w**2 = 0. What is w?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o = 3*o + 9. Let a(t) = -14*t + 1. What is the lowest common multiple of o and a(-10)?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-17)\/4)\/((-1)\/8). Suppose i - 24 = 2*b - i, -4*b - 3*i = d. What is the tens digit of 4\/b*(-3 + -2)*58?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 7, o: 6}. What is prob of sequence oyo?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -86.4 times -81762?\nAnswer: 7064236.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 36590, 2, 0.1 in decreasing order.\nAnswer: 36590, 2, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 33836?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69726 is divided by 3034?\nAnswer: 2978","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85 - 57 = -14*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-34)\/l)**(3\/13)\/(l\/l**(-12)*l)**(-16) assuming l is positive.\nAnswer: l**(2810\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 + 2*z**2 - 2*z - 2. Let g be h(-4). Let j be 0 - (-2 + g\/(-14)). Are j and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**2 + 2*c - 17. Let u be r(8). Let h be (-4)\/(-2) + -1 + -1. Let v(o) = -o**2 + 9. Let l be v(h). Calculate the highest common divisor of u and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 45498?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1163212987 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8102?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cffzggcffgfgwff. Give prob of picking 1 w and 1 c.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1317093794 rounded to 2 decimal places?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 8*q - 2. Let l be x(4). Suppose -l*k + 30 = -24*k. Solve -z + 6*z = -k for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1020\/181 (b) -2\/5 (c) 21 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35688 is divided by 3073?\nAnswer: 1885","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1521478769 to the power of 1\/2, to the nearest integer?\nAnswer: 39006","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 472*h + 709*h - 1181*h + 50*h**2.\nAnswer: 50*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30 and 405.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 59.31217 grams to kilograms.\nAnswer: 0.05931217","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -29, -43, -35, 7, 95, 241?\n\"Answer: 2*s**3 - s**2 - 25*s - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 6 times 125811\nAnswer: 754866","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - (-58 + 55))\/8.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2002 is divided by 652.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ebebnennnnbeeaeblbe. Give prob of picking 1 l, 1 e, and 1 b.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 - 5. Solve -4*q + 5*i = q + 5, -4*i = -2*q + m for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**2 - 11589*i - 173955. What is f(-15)?\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-26 + 663\/26)\/(1\/6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.66 - 0.6?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -3*y - 5. Let a(s) = -2*s - 4. Let d(i) = -5*a(i) + 4*t(i). Let q be ((-9)\/6)\/((-3)\/4). Let l(h) = 0*h**q - 4 + h**2 + 4. What is d(l(v))?\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q - 348 = -342. Let r(h) be the first derivative of h**3\/3 - h**2\/2 - 2. Let b(i) = -4*i + 2. Give q*b(g) + 4*r(g).\nAnswer: 4*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -30621252 divided by 188\nAnswer: -162879","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + (-3 - ((-9 - -4) + 6))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, -4, 3, 1\/10, 0?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11963 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttytttmfttmttbtttbb. Give prob of sequence mmfb.\nAnswer: 1\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.9 plus 19730782?\nAnswer: 19730799.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/53928 or 1?\nAnswer: 1\/53928","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -27*d - 46 + 47*d - 33*d + 8. Let x be n(-5). What is the second derivative of -x*c + 4*c - 5*c - 20*c**5 - 22*c**5 wrt c?\nAnswer: -840*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 6 - 16*y**2 + 20 - 6.\nAnswer: -16*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**2 - 12*w + 16. Let v be y(9). Let d be 2\/v + (-153)\/(-660). Is d at least -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + 5, -2*a - 5*y + 35 = -0*a. Suppose 2*o + 3*o**2 + 0 - a*o**2 - 2*o**3 + 2 = 0. Calculate o.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 3829.\nAnswer: -2\/3829","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11635?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -6*d + 2*d + 20, 2*o = d - 5. Let g be (-2 + (-19 - -11))*1\/2. Put g, -3, d in descending order.\nAnswer: d, -3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -22 - 23. Suppose -6 = 5*a + j. Let t = 0.051 - -0.049. Is a at least t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:50 AM and 3:14 PM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - 7. Let d = -18.21 - -10.21. Which is bigger: d or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 964 and 771?\nAnswer: 743244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:55 PM and 3:43 AM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -x + 5*a, 2*x + 40 = -x + 5*a. Let l = x - -37. Is 11 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**2 + 4*g - 1. Let h be a(3). Let d = 4 + h. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * 0.043.\nAnswer: -0.0086","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21474?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1173?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65712145?\nAnswer: 5, 1567, 8387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*w = -1153 + 208 for w.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -59.86 rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 175 + 437. Calculate the highest common divisor of t and 68.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.930006 to 3 decimal places.\nAnswer: 0.93","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b = -r - 1, -r - 1 = -144*b + 67*b + 83*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-2\/3)*l**(-33)\/l*(l\/l**2)\/(l\/(l\/((l\/l**(-3\/4)*l)\/l*l))) assuming l is positive.\nAnswer: l**(-461\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1)\/2)\/(23001\/(-884) - -26). Is -24 bigger than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -10874, -19.2, -19?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes after 9:47 AM?\nAnswer: 1:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -645041 or -538?\nAnswer: -645041","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19, 4, 29, 56?\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8946?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1011002011010 (base 3) to base 6.\nAnswer: 21040050","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 54a + 4?\nAnswer: 553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -20*y**5 - 88*y**4 - 92*y**3 + 56*y**2 + 112*y + 32 = 0.\nAnswer: -2, -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 - -2001?\nAnswer: 1330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the third derivative of p**10\/151200 - p**8\/6720 + p**7\/2520 + p**5\/30 - 7*p**2. Let h(g) be the third derivative of n(g). Factor h(m).\nAnswer: m*(m - 1)**2*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -99 + 102. What is the closest to -0.1 in -1\/4, y, 2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**4 + 3*h**3 - h + 3. Let v(z) = z**4 + 5*z**3 - 2*z + 5. Let o(c) = 10*f(c) - 6*v(c). What is the second derivative of o(q) wrt q?\nAnswer: 48*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(1701)*1)\/((sqrt(210)\/(sqrt(160) - sqrt(10)))\/sqrt(7)).\nAnswer: 54*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 133 is divided by 68?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 104573, 209086, 313589, 418082?\nAnswer: 522565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -4*p + 2036, -b - 5*p - 1991 = -5*b. Let v be ((b\/98)\/(-6))\/((-4)\/7). Factor 0 + 6*z**2 - 9\/2*z**3 - v*z.\nAnswer: -3*z*(z - 1)*(3*z - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 240*c**3*l**4*p - 37*c**3*l*p - 2*c**3*l - 5*c**2*l + 5*c**2*p + 4*l**4*p wrt l?\nAnswer: 2880*c**3*l**2*p + 48*l**2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 681348 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.1 - -1.76. Let j = y + -0.06. Sort 0.1, 0.3, j in increasing order.\nAnswer: j, 0.1, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -235, -476, -717, -958?\n\"Answer: -241*w + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17 - (49 + -76)) + -38.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**3 - 7*o + 1. What is the tens digit of w(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the first derivative of o**3\/3 + o**2 + o - 14. Let a be r(-2). Let k(x) = 14*x**3 + x**2 - x. Give k(a).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16 - -9 - -15) + -1 + -5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -302*m - 31668 + 31668 + (1 + 3 - 6)*(-m - 2 + 2)*(0 + 6 - 4) to g + y*m and give y.\nAnswer: -298","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -36\/3649 and 32\/245877.\nAnswer: 21883053","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 2 + 22 = 5*v, -v - 5*i + 25 = 0. Suppose 7*y - 4*y - 201 = v. Let z = 143 - y. Is z a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/164 and -125\/275274.\nAnswer: 550548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 150725777.\nAnswer: 150725777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -7483 and 3516.53?\nAnswer: 10999.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -51a - -a05?\nAnswer: 4c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -7, -1, -5, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes after 4:16 AM?\nAnswer: 3:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 57 divided by -1589?\nAnswer: -57\/1589","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/25776 and -143\/1008.\nAnswer: 180432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:03 PM and 7:46 PM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 488035426?\nAnswer: 2, 1499, 162787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -320111103012 - 210?\nAnswer: -320111103222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + 6. Is q\/18 - (-3489)\/18 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**2. Let d(m) be the third derivative of m**4\/12 - 4*m**3 - 247*m**2. Determine a(d(p)).\nAnswer: -4*p**2 + 96*p - 576","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, -4, -6.148, 0.\nAnswer: -6.148, -4, 0, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.03 + -5.03. Suppose 3*l - 3*l = l. What is the nearest to l in p, 2\/13, 2?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 84 - 30 = -5*h, 3*h = -2*l + 76. Let b = h - -3. Suppose 2*x + 14 = o - b, x - 32 = -o. Does 8 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 5*o - 1725 = 0, 4*o - 4 = 2*o. List the prime factors of t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 2*h = -560, -2*h + 274 = -81*j + 82*j. What is the remainder when 1156 is divided by j?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d. Let x(i) = -22. Determine 2*a(v) + x(v).\nAnswer: 2*v - 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*d + 6 + 5 = 0. Which is the nearest to d? (a) 0.4 (b) -0.1 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -26090*j + 427. Is t(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 603 is divided by 61.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*((-495)\/(-44) - 10))\/(1\/12)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-329)\/(-188) - (-4557)\/156. Let h = -396\/13 + c. Factor 0*x**3 + 0 - h*x**5 + 0*x**2 + 0*x + x**4.\nAnswer: -x**4*(x - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 - -4. Let s be (2\/(-8))\/(2\/m). Let r = 0.1 + -0.1. Which is the nearest to -2\/3? (a) s (b) r (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -6 (b) 13 (c) -1 (d) 2\/29 (e) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/12)\/((-1)\/12*3560\/27590)\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**3\/3 - 190*y**2\/3 - 11948*y\/3 - 248936\/3.\nAnswer: -(y + 58)**2*(y + 74)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -48498, -48326, -48040, -47640, -47126, -46498?\nAnswer: -45756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -k + 22, 0 = 4*k + r - 13 - 0. Suppose -12 + 4 = -k*d. Suppose -2*z + 3*z + 3*l = 9, 58 = d*z + l. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-3))**(7\/3)\/(x\/(x*(x\/x**(1\/3))\/x*x))**(1\/50))**(-5\/6) assuming x is positive.\nAnswer: x**(262\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.8 in -12, -0.5, -1\/3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -100.1263 rounded to the nearest integer?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 225 - 227. Let r = 2\/221 - 679\/1768. Which is the nearest to 1? (a) -6 (b) r (c) 0.07 (d) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-40)\/50)\/(2\/5). Suppose 0*r = 5*r + 5. Sort q, r, 3.\nAnswer: q, r, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33338489 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -75 + 1316?\nAnswer: 1261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 432 a factor of 205632?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8411, -8273, -8035, -7703, -7283?\nAnswer: -6781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.33? (a) 2 (b) 1 (c) -4 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -2*l**3 + 3*l**2 - 7*l + 8. Suppose -4*s = -3*t - 20 - 2, 0 = -4*t + 8. Let a be q(s). What is a rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:26 PM and 10:10 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 328093 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the first derivative of 4\/3*i**3 + 1\/4*i**4 - 3*i + 2 - 7\/2*i**2. Let m(j) = j**2 - 13*j + 25. Let a be m(3). What is k(a)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18770 divided by 5.\nAnswer: -3754","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/((r\/(r*r**21\/r*r*r))\/r)*r*(((r\/r**(-14))\/r)\/r*r)\/r)**21 assuming r is positive.\nAnswer: r**798","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-w + w**3 + w)*((-1 - 2 + 1)*(-2 + 5 - 1) + 151 + 36 - 37) as h*w**2 + d*w + j*w**3 + p and give j.\nAnswer: 146","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72*j**4\/7 - 2739000*j**3\/7 + 3238657874*j**2\/7 + 1079780876*j\/7 + 12855440 = 0. What is j?\nAnswer: -1\/6, 1222, 36820","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2360, 24, 4, -4, 2\/9 in decreasing order.\nAnswer: 2360, 24, 4, 2\/9, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2*4\/8 - -4. Suppose -x*r + 25 = -0*r. Solve -3*f + r*y + 13 = 0, -3*y + 4*y = 5*f - 7 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + z)*(z + 0*z + 2*z + z + z - z + (0*z + 2*z - 4*z)*(1 + 0 - 2) + 0 + 0 + z).\nAnswer: 7*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5012243, -10024445, -15036647, -20048849, -25061051, -30073253?\nAnswer: -35085455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 1, 2, -0.04, 0.15?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that l**4\/3 - 6296*l**3 + 92105254*l**2\/3 - 9179939464*l + 2125936047481\/3 = 0.\nAnswer: 157, 9287","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -5*z - 205. Let o be d(-41). Let f = -38578\/15 + 2572. Let m = -4.6 - -0.6. Which is the nearest to o? (a) m (b) f (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3*(-2 - -1) - 1. Let x(z) = -z - 5. Let h(j) = j + 4. Let t(g) = 6*h(g) + 7*x(g). Let r be t(-8). Is k < r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 28 and 41692?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 54 + -102. Let t be z\/220 + (-2)\/(-5). Let m be 3\/(-23)*4\/6. Which is the nearest to 0? (a) 0.3 (b) t (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.3, 4, -1\/7, -1, -69\/11?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1389290 at most as big as 1389291?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 63 - 40. Suppose -c = -4*p + 21. Does 5 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 26161136 to the nearest integer?\nAnswer: 5115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -405021 + 405021 - 41*o**2.\nAnswer: -41*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12964?\nAnswer: 2, 7, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 872994013?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01305 to 3 dps.\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**2 + r - 1. Let p(f) = -7*f**2 + f - 3. Let h(i) = -p(i) - 6*t(i). Let z(b) = b**2 - 5*b + 6. What is -5*h(s) + 7*z(s)?\nAnswer: 2*s**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -191*d**3 - 284?\nAnswer: -573*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 8 * -2322\nAnswer: -18576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(363) - (2 + 1 + sqrt(363)))**2 + sqrt(9)\/(sqrt(147)*-3).\nAnswer: -sqrt(3)\/21 + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 95\/3 - 32. What is the nearest to r in -2, 3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 237 = p + 81. Suppose -2*d + 4*c = -p, -149 = -4*d + 5*c + 178. Does 22 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 247\/4 - 62. Which is the nearest to x? (a) 1 (b) 3 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 198840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/29 or 7797?\nAnswer: -3\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/11 in 21, 0.1, 2\/7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a micrometer in nanometers?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 4*x - 9. Let u(t) = 1. Let q(l) = a(l) + 5*u(l). Calculate the lowest common multiple of 2 and q(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 7 = 3*g + 1, 0 = -3*g for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -266\/1171 <= -4\/273?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 11 + 7 + (-103 - ((9 - 3) + -4 - 7))\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6128 + -6076. Calculate the remainder when 1506 is divided by j.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*v*w**3*z**2 + 12*v*w**3*z + 7*v*w**2*z + 2*v*w*z**2 - 3*v*z**2 + w**3*z + 8*w**2*z**2 wrt w.\nAnswer: 36*v*z**2 + 72*v*z + 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-7\/3)\/i)\/((i*i**(-1\/5))\/i)*i*i\/(i*(i\/((i**(-1)\/i)\/i))\/i)*i*i\/i**(-4\/13) assuming i is positive.\nAnswer: i**(-551\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 121 = -7*o + 744. Let n = -447\/5 + o. Sort -3\/10, 0.4, n in decreasing order.\nAnswer: 0.4, -3\/10, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 107*o - 103*o + 4*n = 16, 4*o + 11*n - 9 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**3 - 3*d**2 + 3*d + 5. Let r be m(-3). Let w be (-12 + 3 - r) + 2. Put -9, -5, w in increasing order.\nAnswer: -9, -5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3077 and 153.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -5*y + 10, 0 = z + 4*y + 11 - 37. Solve -z = -5*d - 5*x, -d = -5*x + 7 + 9 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-26)\/20 - 3\/15. Let z = -1 - -241. Let b = z - 1668\/7. What is the smallest value in c, b, -0.3, -0.1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56313?\nAnswer: 3, 6257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 14) in base 11?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*y + 12*y + 15*y - 44*y.\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1400622.1 rounded to the nearest one hundred thousand?\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 0.04, 0.2, 14, 25?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6.1 in 2.3, 4\/3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 - -21. Suppose 2*a = -6 - i. Let r = 11 + a. Calculate the least common multiple of 4 and r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the first derivative of -h**6\/10 - 9*h**5\/25 - 3*h**4\/10 + 2*h**3\/5 + 9*h**2\/10 + 3*h\/5 + 11. Factor a(u).\nAnswer: -3*(u - 1)*(u + 1)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 136882025?\nAnswer: 5, 7, 782183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11*w**2 + 27*w**3 + 9*w**2 - 21*w**2 + 1 + 4*w**2 wrt w.\nAnswer: 162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 3*a**3 - 17*a**2 - 40*a + 8. Let j be u(14). Suppose -28*r = -12636 + j. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (10\/(-6))\/(1\/(-3)). Let k = -90 + 94. Let a = 1 - 1.5. What is the biggest value in a, l, k?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/4)\/(1\/2)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + 7. What is the second derivative of h - 2 - 2 + t*h**2 + 4 wrt h?\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -10 + (3 - -3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2618 and 2002?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1056941 and 158.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the second derivative of -v**5\/6 - 17*v**4\/18 - 2*v**3\/3 - 32*v. Factor w(m).\nAnswer: -2*m*(m + 3)*(5*m + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 281 is divided by 149.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 383*y**2 + 10. Let v(i) = 3829*i**2 + 98. Determine -5*v(k) + 49*w(k).\nAnswer: -378*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -18*r - r**2 - 3 + 3 + 2. Let s be p(-18). Put s, 5, -5 in decreasing order.\nAnswer: 5, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 9*d - 12. Solve -5*g - 5*t = -20, 0 = -2*g - g + 4*t - d for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 313072 and 544?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, -6, 5 in descending order.\nAnswer: 17, 5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-1*336)\/(-2) - 4\/2 is divided by (14 - (-13 - -2)) + -1.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -154 = -18*l + 20*l. Let i = l + 76. Let n(o) = 17*o. Calculate n(i).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8359091291 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*-4*((6*(sqrt(325) + 2) + -3)**2 - (sqrt(325) + (-4 + (sqrt(325)*2 + sqrt(325) - sqrt(325)))**2 - (sqrt(325) + -1 + -5))).\nAnswer: 2480*sqrt(13) + 41836","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x - x + 7074 = 60*x. Calculate the smallest common multiple of x and 13.\nAnswer: 1703","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (19456\/(-4256))\/(1\/(7\/(-2))).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the first derivative of -k**4\/4 + 2*k**3 - 5*k**2\/2 - 2*k + 7. Let d be b(5). Is 57 - (2\/d)\/1 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51201 is divided by 346.\nAnswer: 339","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-72)\/(-78))\/((-7)\/(-91))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2214082 to the nearest integer?\nAnswer: 1488","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3606*p + 17398 = -7521*p + 3818*p + 521719 for p.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3015 and 285.\nAnswer: 57285","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 = 2*t + l - 29, t - 5*l = 8. Let o(z) = -6*z + 2 - 4*z + 6. Is o(t) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -59 + 134. What is the tens digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 181 = 118036*y - 117688*y - 863 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -61*b + 36. Let h(k) = 14*k - 9. Let n(l) = -9*h(l) - 2*z(l). Let i(m) = m**3 + 2*m**2 - m. Let q be i(2). Let c = q - 6. Determine n(c).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18598022 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 q = -6.935 - -7. Round q to two decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.612 - -36.688. Let x = w + -37. Which is the biggest value? (a) 1\/3 (b) 3 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -w + 3*w**2 - 18*w - w**2 - 3*w in the form l + g*w**2 + p*w and give p.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13210.665 months to millennia.\nAnswer: 1.10088875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3409567453 to the nearest integer?\nAnswer: 58392","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*f - 6. Suppose -15 = 4*j + f*z + 1, 2*z = 0. What is the biggest value in -3, j, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2711 a multiple of 87?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61 = -3*t - 16. Let g = 134 - t. Let l(h) = 31*h**3 + h**2 - 1. Calculate the remainder when g is divided by l(1).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 134*m**3*n**3*z + 7*m**3*n**2*z - 2*m**2*n**3 + 2*m*n*z - 5*m*z + 2*z wrt m.\nAnswer: 804*n**3*z + 42*n**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 12*o. Let j(i) be the second derivative of 1\/3*i**4 + 0*i**3 + 0 + 0*i**2 + 6*i. Calculate j(k(z)).\nAnswer: 576*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**3 + 5*n**2 + n + 7. Calculate k(-3).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes before 1:38 AM?\nAnswer: 5:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the third derivative of -h**8\/504 + h**7\/315 + h**6\/180 - h**5\/90 + 17*h**2. What is g in s(g) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 15380*a**5 + 30761*a**4 - 61518*a**3 - 123044*a**2 - 8*a = 0.\nAnswer: -2, -1\/15380, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jt when two letters picked without replacement from {t: 6, m: 5, v: 3, j: 1, p: 3}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 64089942 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -384 - -387. Suppose -s*c + 615 = -3*g, 4*g = -2*c + 105 + 305. Is c a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 7*g - 2. Let s(q) = 6*q - 3. Give -2*a(c) + 3*s(c).\nAnswer: 4*c - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 2 + 1)*(-4 - 3 + 5)*(43*x**2 + 114 - 112 - 3*x**2) to the form s*x**2 + u*x + g and give s.\nAnswer: 160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1598337482.\nAnswer: 2, 7, 23, 73, 97, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x**4\/7 + 348*x**3\/7 + 17919*x**2\/7 - 56148*x\/7 + 5412 = 0 for x.\nAnswer: -41, 1, 2, 154","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 47*w**2 + 8*w - 5. Let u(n) = -187*n**2 - 35*n + 22. Calculate 26*b(z) + 6*u(z).\nAnswer: 100*z**2 - 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (x**2 + 46 + x**2 + 16*x - 45)*(28 - 4 + 12)*(-3 + 2 - 3) in the form n*x + y + c*x**2 and give y.\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 236 + -280.95. Let o = d + 45. Sort 3, -1, 3\/2, o in ascending order.\nAnswer: -1, o, 3\/2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -22\/7 (b) -3 (c) -5 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 159 + -159.4. Let l be (0 - 1) + (-15)\/(-9). Let o be ((-4)\/(-39))\/((-4)\/6). What is the nearest to -1\/4 in o, l, n?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6881?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ivcviniivnwviycviwn. What is prob of picking 1 y and 1 n?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 - 6 = -2*b. Let k(x) = -2*x - 5. Let p(a) = -a - 3. Give b*k(s) + 8*p(s).\nAnswer: 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together -49 and 162.3.\nAnswer: 113.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.3 (b) 10\/9 (c) 2\/9 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -115 + 118. Which is the closest to -1? (a) 1 (b) -14 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**3 + 139*m**2 - 154*m + 2214. Let b be s(138). Let l(j) = -4*j + 3 - 1 + 1. Let u(c) = -9*c + 7. Calculate b*u(y) - 13*l(y).\nAnswer: -2*y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**3 - 2*v**2 - 20*v - 24.\nAnswer: (v - 6)*(v + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2054, -4110, -6166?\n\"Answer: -2056*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.16930394516038 from 33.\nAnswer: 33.16930394516038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**2 + 4*i + 1. Let h = 5 + -7. Calculate the remainder when (h\/(-8))\/(5\/20) is divided by b(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 21 - 7. Suppose f - 28 = -3*w - 4*f, 4*w - b = -2*f. What is the greatest common divisor of w and 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20990*m + 20977*m = -4966. Is m a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 - 10*t**2 + t - 3. Let l(c) = c**2 - 4*c + 1. What is the remainder when q(10) is divided by l(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1895148416.\nAnswer: 2, 7, 2115121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6117861749.\nAnswer: 31, 197350379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 148 - -53ad6?\nAnswer: 53c40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 855*d - 840*d - 180 = 0. Solve 0 = d*p + 4*p + 32 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 8\/30395843 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*y = -5*y - 10*y - 364 for y.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 11 = 2*k, -5*k - 1 = -5*u + 29 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -20*p - 1 + 10*p + 11*p + 7 as m*p + k and give k.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 6*(sqrt(931) + 0 + 0 + sqrt(931) + sqrt(931))*-1)**2.\nAnswer: 252*sqrt(19) + 301645","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8576*l**4*y**2 - 919*l**3*y**3 - 9*l**2*y**3 + 16*l**2*y**2 - 213*l**2*y + 25*y**3 wrt l?\nAnswer: 205824*l*y**2 - 5514*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 1)*(-318*x + 107*x + 26*x - 499*x).\nAnswer: -1368*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 67 + -35. Let k = c - 9. Does 23 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*b = 4*o + 22*b + 5, -11 = 5*o + b for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -5165 + 6030. Is -2\/9 less than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 0 = 3*q + 1, -4*q - 10 = -2*f. Let d be f\/2 + (2 - (-10)\/(-4)). Let x be (-3)\/(-3 - -6)*d. Solve 4*t + 2 = -x*t + 2*j, 4*t = 4*j for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pm when two letters picked without replacement from {w: 1, t: 4, p: 3, m: 6}.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(1\/10)*p**(-1\/8))**(-3\/7) assuming p is positive.\nAnswer: p**(3\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**21*p*p*p\/(p*p**15*p) assuming p is positive.\nAnswer: p**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 10862*b - 76038. Determine w(7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 530454?\nAnswer: 2, 3, 211, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 4*g + 9. Suppose -3*n = -5*n + 12. Let h(w) = -7*w - 17. Determine n*h(q) + 11*v(q).\nAnswer: 2*q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -4*r - 1. Let q(z) = 176*z + 196*z - 373*z. Calculate -i(f) + 2*q(f).\nAnswer: 2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 10\/(-40) + (-1)\/(8\/(-2786)). Let u be (m\/15)\/(5\/(25\/2)). Suppose -2*r - 174 = -4*k, 2*k - 14 - u = -2*r. What are the prime factors of k?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(136)\/(sqrt(8) + sqrt(88)\/(sqrt(22)\/sqrt(2))) - (-2 + 1*sqrt(1088)).\nAnswer: -15*sqrt(17)\/2 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and -6.1?\nAnswer: -1.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*o = 21*o + 5*o + 80 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.3 - -1.3. Let t = -2 - g. Let p = -379 + 377. Sort -5\/2, p, t.\nAnswer: t, -5\/2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6\/11 in 4, -3\/2, 5, -2\/123?\nAnswer: -2\/123","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -1*(sqrt(7) + -2*sqrt(7)).\nAnswer: 1 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*x**5\/3 + 1181*x**4\/3 - 2309*x**3\/3 - 2429*x**2\/3 + 374*x = 0.\nAnswer: -1, 0, 22\/61, 3, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 39 - 39. Suppose 0 = 3*n - 7*n. Let b be -1 + (5800001 - x) - n. Round b to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 115 divide 124719507?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.1 from -634.\nAnswer: -633.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 + 3)*(-6*b + 4*b + b) + 28 - 146*b - 28.\nAnswer: -148*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 50896 + -2544883\/50. Find the common denominator of -103\/100 and p.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1337*j - 44 - 138 + 185.\nAnswer: 1337*j + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*a + 4*a - 4*a in the form m*a + u and give m.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4845 and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 - 7 - 12)*(-r - 2*r + 5*r).\nAnswer: -18*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 193010\/30 - (-2)\/(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1031166 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -0*y + 3*m + 15, -3*y + 9 = 2*m. What is the tens digit of 1\/(-2)*(-72)\/y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 52036, 208127, 468260, 832429, 1300628?\n\"Answer: -g**3 + 52027*g**2 + 17*g - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**2 - 11*m + 9. Suppose 3*o - 6 = -3*o. Let d be -2 + (o + 3)*-2. What is the units digit of n(d)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00003536316 to seven dps.\nAnswer: -0.0000354","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 164\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1836 and 128214.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*f - 3*f. Let j = f + 8. Calculate the least common multiple of 4 and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 225372?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 5354184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 156*f**2 - 12*f + 84. List the prime factors of g(-7).\nAnswer: 2, 3, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j**2 - 65*j**2 - 13*j**2)*(0 - 2 + 0)*(2*j - 3*j + 0*j).\nAnswer: -160*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/120*-6*1\/1\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) 2 (c) 3\/7 (d) -0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 136*h**4 - 32*h**3 + 188*h**2 - 32. Let p(d) = -21*d**4 + 5*d**3 - 29*d**2 + 5. Let j(f) = 5*n(f) + 32*p(f). Find the third derivative of j(c) wrt c.\nAnswer: 192*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0, -1\/4, -1\/49, -14?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3589 - 2528. Suppose -3*o + 1654 + i = 0. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes after 11:56 AM?\nAnswer: 9:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 29*p**2 - 33*p**2 + 63*p**2 - 1.\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dm when two letters picked without replacement from {x: 1, r: 7, m: 2, d: 1, q: 2, w: 2}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4322 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 55 + 714?\nAnswer: 769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*d - d**4 - 4*d - 3*d**3 - 8*d - 4 + 5 + d**2 as g + q*d**3 + k*d**4 + z*d**2 + i*d and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -16083 divided by 5\nAnswer: -16083\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 20, 22, -1, -125 in descending order.\nAnswer: 22, 20, -1, -2, -125","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1277 + 104*z - 2*z**2 + 1274 - 2551 to t + p*z + u*z**2 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17477\/3884 + 1\/3884. Let 0 + 3\/2*u**4 + x*u**3 + 3\/2*u + 9\/2*u**2 = 0. Calculate u.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 6*y**2 + 7*y - 25. Calculate the remainder when 379 is divided by r(4).\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3202 (b) 0.2 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z + 3*z**2 + 0*z)*(3*z - 5*z - 4*z) + 0*z**3 + 3*z**3 - 5*z**3.\nAnswer: -20*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -23 - (-1349)\/57 - 8\/6. Which is the smallest value? (a) -2 (b) v (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 74 + -69. Suppose -10 = -10*z + w*z. Solve z*n + 2 = 4 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*x**5*y - 5*x**5 + x**3*y**3 - 27*x**2*y**2 + 4*y**3 wrt x?\nAnswer: 120*x**2*y - 300*x**2 + 6*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -5, -26, -4\/101, 2\/11?\nAnswer: -4\/101","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -41*d + 871. Give k(26).\nAnswer: -195","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -74 + 69 + 0 + 0 + 5. Suppose 0 = 3*s + 6. Sort a, s, -3.\nAnswer: -3, s, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (0 + -2 - (0 + -4)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53*n + 3*n + 45*n.\nAnswer: -5*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are -9135583 and -9135571 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 59823?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*sqrt(363)*1 + 2*(sqrt(3) + sqrt(3) + sqrt(84)\/sqrt(7)).\nAnswer: -58*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 21756 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: Let a be (1\/3)\/(1\/3). Suppose 0*o = -2*h + 5*o - 13, 0 = -o + a. What are the prime factors of 3 - (h\/(-2) + -2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -14401*l + 1. Let t(i) = -420*i. Give t(a(f)).\nAnswer: 6048420*f - 420","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20 - 1100022?\nAnswer: -1100002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1110001 + -1011?\nAnswer: 1100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-5 - -1 - -3)\/(-5))\/(-1). Let p = -124\/119 + 8\/17. What is the third smallest value in p, b, -2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes after 10:23 AM?\nAnswer: 10:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1756, -6633, -14732, -26029, -40500, -58121?\n\"Answer: 4*k**3 - 1635*k**2 - 125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -108930a3 - 0?\nAnswer: -108930a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -536761, -536763, -536765, -536767, -536769, -536771?\nAnswer: -536773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - t + 6*t = 0, -t = a. Suppose v + 6 = -a*v - 3*c, -4*v - 3 = 5*c. Suppose v*h - 5*p = 30, 3*p = 4*h + p - 26. What are the prime factors of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-868899)\/62*-4*4\/24?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.08? (a) 3\/7 (b) -0.4 (c) 9\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3053 and 1161?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00306026251 rounded to 4 dps?\nAnswer: -0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*n + 7*n - 28*n)*(-3*n + 0 + 0).\nAnswer: 36*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((sqrt(245) - (5 + sqrt(245) + 1)) + 0))**2.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (21\/(-63))\/(((-539)\/21)\/(-11))?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 28708577 and 529.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -2*k - 23, 7*k - 2*k = 2*j - 10. Let a(l) = -l**3 - 4*l**2 - 4. Is 21 a factor of a(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1534)\/(-12)*27\/(-12). Let c = -288 - q. Let g = 18 + -18.4. Put -3, g, c in decreasing order.\nAnswer: c, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 - -14. Suppose -i*c = -w + 108, -2*c - 470 = -5*w - c. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2604)\/186*(-10)\/(-2275)*45?\nAnswer: -36\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5*k**4 - 7*k**2 + 211 wrt k.\nAnswer: 20*k**3 - 14*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 28*p + 108. Let g(i) = -i**2 - 5*i - 5. Give g(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.7 + 1.1. Let q = h - 1.4. Let x be (1\/3)\/((-14)\/6). Which is the second biggest value? (a) 2\/7 (b) x (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(13) - sqrt(13))*-5 + (sqrt(52)\/sqrt(4))**2 + -2 - (((sqrt(117) + sqrt(117) + -3*sqrt(117) - sqrt(117) - sqrt(117)) + sqrt(117))*-1)\/sqrt(9).\nAnswer: -2*sqrt(13) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.1204 - 0.02974. Let o = c + 0.15. What is o rounded to four dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddyd when four letters picked without replacement from udddyudy?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/(-10)*(1 - 26)\/(-1). Is (108\/(-30))\/(s\/(-50)) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -29187*d**2*i**2 - 12403*d**2*i + 2*i - 1 wrt i.\nAnswer: -58374*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a millennium in months?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 674615 or 12817692\/19?\nAnswer: 12817692\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + b - 24 = -x, b - 5*x + 10 = 0. Suppose k = -2*k - 5*t + 14, -3*k + b = 4*t. Are -2 and k equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 14*z**4 + 15 + 15*z - 13*z**4 - 16 + 57 wrt z.\nAnswer: 4*z**3 + 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -112 (base 7) to base 2\nAnswer: -111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/676 or 18028\/17?\nAnswer: 3\/676","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 r when two letters picked without replacement from {c: 2, o: 2, n: 2, r: 2}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the second derivative of b**5\/15 - 7*b**4\/9 + 237*b. Suppose l(d) = 0. What is d?\nAnswer: 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.59 + -0.68. Let h = 0.41 - k. Let m = -42\/17 + 244\/85. Which is the second smallest value? (a) m (b) 3 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -11*r - 13. Let t(f) = -5*f - 7. Let o(n) = -4*q(n) + 10*t(n). Find the first derivative of o(y) wrt y.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/2*r + 0 - 3\/2*r**2.\nAnswer: -3*r*(r - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/52 or 17038?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 23 = n, -n + 16 = 5*f - 11. Let d be (-8)\/(-6) + f\/(-15). Suppose -4*t + 3 = -d. Is t at most 2\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-583*n - 1101*n + 590*n)*(-2*n**2 + 1 - 1) + 0*n**2 + 0*n**2 - n**3.\nAnswer: 2187*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -13370777\nAnswer: -4\/13370777","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3216196544?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.27 - -0.3. Suppose 5*n = 6*n. What is the nearest to n in 0.4, -5, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 493722426*z**4 + 4*z**2 + 81682675*z.\nAnswer: 11849338224*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.45? (a) -8 (b) -1\/8 (c) 8 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:32 AM and 12:51 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 4 - 38*b)*(4*b - 72 + 66 + 3*b) to u*b + v*b**2 + q and give u.\nAnswer: 228","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -13 (base 4) to base 10\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 754?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14090 is divided by 243.\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, g: 4, d: 3}. Give prob of picking 3 g and 1 u.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -122 divided by -1\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1189 = -8*c + 1125 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.305 and -0.1.\nAnswer: -0.0305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -67 - -135\/2. Sort -9, -0.3, n in descending order.\nAnswer: n, -0.3, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.9 - 2. Let n be (-8)\/14 + (-4)\/(-7). Which is the nearest to n? (a) 0 (b) -2 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (16*m**3 + 7*m**3 + 4*m**3)*(-4*m + 2 - 3 - 1) to s + g*m**3 + k*m**2 + q*m + h*m**4 and give h.\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f - 12. Let o be h(7). Let z(w) = w**3 + 5*w**2 - 4*w + 6. Let t(g) = -g**2 + g - 1. Let q(k) = o*t(k) - z(k). Calculate q(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 8 (b) 0 (c) -5112 (d) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 3*z = z + 205804, 0 = 5*i - 3*z - 514489. Suppose 3*a + i = h, 0*a - 4*a = -2*h + 137192. Round a to the nearest 1000.\nAnswer: -34000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 19*y = -21*y - 15154, 5*v = -4*y + 18949. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.03 - -0.23. Let d = -5.2 + w. Sort 1, d, 3 in descending order.\nAnswer: 3, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 + 31 = 3*h. Let y(p) = -p**3 - 4*p**2 + 2*p - 4. Let x be y(-4). Let k = x + h. Calculate the smallest common multiple of k and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than or equal to -2\/1189646163?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.065188*-1.\nAnswer: -0.065188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and -67491.78.\nAnswer: 134983.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5*x**2 + 2*x**2 + x**2)*(x - x + x) - x**3 - x**3 + 3*x**3)*(-303 - 259 + 371)*(5*x - 2*x + 0*x).\nAnswer: 573*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, b: 6, i: 4}. Give prob of picking 1 i and 1 b.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42c641 (base 13) to base 12.\nAnswer: 6384a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2*(-6)\/8*42. Let m = q - -112. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 22 - 3 = 0. Let l be (30\/(-42))\/((-1)\/7). Find the third derivative of 0*s + 0*s**l + 4*s**2 + 0*s - u*s**5 wrt s.\nAnswer: -300*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 481?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -28*j**3 - 1039*j**2 - 118*j - 43. Calculate y(-37).\nAnswer: 216","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*w - w = -5*f - 7*w, 4*f + 7 = 3*w - 0*w - 4 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -2 - 7. Solve -3*s + w + 0 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the third derivative of q**8\/672 - q**7\/105 + 2*q**5\/15 - q**4\/3 - 1509*q**2. Solve u(x) = 0 for x.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 7*g + 12. Let l(k) = 20*k + 35. Let s(b) = -17*a(b) + 6*l(b). Let u be s(0). Solve -2*q = -2*m - 7*q + 25, -2*q = -u for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22, -37, -68, -121, -202, -317?\nAnswer: -472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10*a**4 - 208*a**3 - 16*a**2 - 2125*a + 4?\nAnswer: 240*a - 1248","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-4788)\/(-132) + (-40)\/(-55)\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28056703?\nAnswer: 421, 66643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -18*c**3 - 3*c**2 + 413*c + 16. Let n(y) = -6*y**3 - y**2 + 138*y + 6. Determine -4*m(w) + 11*n(w).\nAnswer: 6*w**3 + w**2 - 134*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 15) to base 11\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes before 4:46 PM?\nAnswer: 9:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 39\/9 + 727175\/(-7395)\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6552 and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4da0 (base 14) in base 10?\nAnswer: -13664","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -14*x**2 + x + 6. Let a(p) = p**2 - 33*p - 3023. Let l be a(74). Let z(b) = -5*b**2 + 2. Calculate l*z(w) - 4*y(w).\nAnswer: w**2 - 4*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the third derivative of g**7\/1120 + g**6\/360 - g**5\/120 + 13*g**3 - 126*g**2. Let u(p) be the first derivative of x(p). Factor u(s).\nAnswer: s*(s + 2)*(3*s - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**3\/4 - 3291*h**2\/4 + 69913*h - 328965.\nAnswer: -(h - 78)*(h - 5)*(h + 3374)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.06618 times -0.05?\nAnswer: 0.053309","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, h: 2, y: 9, n: 2}. Give prob of sequence yh.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33132 (base 4) to base 16.\nAnswer: 3de","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 4, 3, -1 in increasing order.\nAnswer: -1, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m. Let y(r) = -2. Determine y(o) + 3*z(o).\nAnswer: -3*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105 - 25 - 22 = -38*f. Solve f*g - t = 0, -6 = g + 9*t - 10*t for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 87 - 87. What is the second smallest value in s, 0.01, 8?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ftm when three letters picked without replacement from {t: 5, i: 2, f: 5, m: 6, s: 1, d: 1}.\nAnswer: 5\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5169467603 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8544, -12832, -19966, -29952, -42796, -58504, -77082?\nAnswer: -98536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1128, -1917, -2708, -3501, -4296, -5093?\n\"Answer: -y**2 - 786*y - 341","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w + n + 4, 159*w - 160*w = -4*n + 12. Solve -4*d = -5*d - 5*r - 16, 4 = -w*d - 5*r for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + u - 6 = 0, -3*u = -4*o + 4 - 1. Let t = -235 + 240. Suppose 0 = -t*w - 4 + 64. What is the greatest common divisor of o and w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, f: 4, s: 3, r: 2, c: 4, v: 1}. What is prob of picking 1 k, 1 c, 1 s, and 1 r?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 47279396 to the power of 1\/3, to the nearest integer?\nAnswer: 362","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 75\/(-2)*(-48)\/36. Let u = q - 50. Suppose 24 = -u*c + 3*c. Let v(b) = b**2 - 10*b + 12. Give v(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3126101 > -3126101?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the third derivative of u**7\/315 + u**6\/20 + 2*u**5\/9 + u**4\/3 - 1217*u**2. Factor d(v).\nAnswer: 2*v*(v + 1)*(v + 2)*(v + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o + 13*o. Suppose o = n + 5*l - 3*l - 359, 3*n = l + 1070. List the prime factors of n.\nAnswer: 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**2 + 6*c - 3. Let j be y(-7). Let d be (70\/2)\/(155\/186). Suppose -2*o - 4 = j*n, d = 4*o - 2*n - 0*n. Solve 5*t - o = 2 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -3*o + 5*o. Let j = o + -10. Let g = -0.298 - -2.298. Which is the second biggest value? (a) j (b) g (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -3*b - 3. Let r be z(-3). Let j(o) = -o**3 - 30*o**2 - 27*o + 68. Let q be j(-29). Let d be (q\/6)\/(2\/r). Solve -25 = -d*i - 10 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 2*a**3 + 7*a + 29. Let f(h) = h**3 + 3*h + 15. What is 7*f(r) - 3*p(r)?\nAnswer: r**3 + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/12*(30\/25)\/(-6)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j = -p + 6, 4*j - 2*p - 64 = -40. Solve -j*q = -3*z + 10, 2*z - z = -4*q + 8 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69 + 2*p**2 + 102 - 126.\nAnswer: 2*p**2 - 93","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8135, 64906, 218999, 519074, 1013791, 1751810, 2781791, 4152394?\nAnswer: 5912279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -133, -277, -411, -529, -625, -693, -727, -721?\n\"Answer: d**3 - d**2 - 148*d + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -11\/3*c**3 + 28\/3*c**2 - 4*c + c**5 - 8\/3*c**4 + 0 = 0. What is c?\nAnswer: -2, 0, 2\/3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = -3*v - 8. Let p(r) = -13*r + 5. Let z be p(5). Let f = v - z. Calculate the remainder when f is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 38 + -17. Let d = -31 - -90. Suppose -10*i = d - 449. What is the remainder when i is divided by u?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -1*sqrt(180)*-1 + ((sqrt(160)*1)\/sqrt(4))\/(sqrt(128) - (sqrt(128)*1 - sqrt(128))))**2.\nAnswer: 25*sqrt(5) + 3189\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9*f**4 - 167*f**3 + 1259*f**2 + f - 1.\nAnswer: -216*f - 1002","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -9708 times 85582\nAnswer: -830830056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/5 + 504\/140. Solve y*i - 2*i = -2 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence em when two letters picked without replacement from {m: 1, u: 2, e: 1, d: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**2\/9 + 3455948*y\/3 + 1492947072338.\nAnswer: 2*(y + 2591961)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/6 at least as big as -33?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 7728, 7722, 7716, 7710?\n\"Answer: -6*p + 7734","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 513*s + 805*s + 26*s**3 - 953*s to v + c*s**2 + h*s + f*s**3 and give h.\nAnswer: 365","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30)\/(sqrt(12)\/sqrt(2)) - (sqrt(5) + 1)*-2) + 2 - (2*sqrt(540))\/sqrt(3)*-6.\nAnswer: 4 + 75*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes after 4:44 PM?\nAnswer: 3:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 2*n + 19 = 0, t - 1 + 8 = -4*n. Let s(x) = -t*x**2 - 2*x**2 + 6*x + 6*x**2 - 6 + 3. Give s(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = 4*a + 5*g, a = 5*g - 6 - 10. Let k = a + 15. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -2*u, 2*u = -4*p + 432. What is the highest common factor of 54 and p?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-1\/14))**(2\/37) assuming c is positive.\nAnswer: c**(13\/259)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 31696 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*5*(sqrt(66) + sqrt(66)*1)*4)\/((sqrt(300)\/sqrt(160))\/(sqrt(5)*-2*3)).\nAnswer: -1920*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the first derivative of -1600*c**3\/3 + 405*c**2 - 1378. What is the second derivative of l(v) wrt v?\nAnswer: -3200","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) 4\/5 (b) -14841 (c) -3 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*g - 12. Suppose -g*j = -7*j. Suppose -b + j*b = 0. Let d(k) = k + 3. Calculate d(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes after 7:28 PM?\nAnswer: 2:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 t when three letters picked without replacement from tececzteteee?\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkrkkbrrkrbrr. What is prob of sequence rb?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -12*b + 127. Let g be y(9). Suppose 18*i + 471 = g*i. List the prime factors of i.\nAnswer: 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -52 + 63. Let b = 7 - 2. Suppose 6*a - b = j*a. Let l(n) = -4*n + 7. Let q(z) = z - 1. Give a*l(k) - 5*q(k).\nAnswer: -k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33080*l = 32992*l - 2112 for l.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 5*c + 2*c - c - 5*c. Let z(x) = 18*x**2. Give j(z(o)).\nAnswer: 18*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 127\/1660 and -113\/996?\nAnswer: 4980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, y: 1, q: 16}. Give prob of picking 1 t and 3 q.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w - 610 = -421. Suppose -a = o - 0 - 9, 0 = -3*o - 5*a + 23. Calculate the remainder when w is divided by o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.033831 - 0.03584. What is c rounded to 4 decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(-4) - 2\/(-8). Suppose b = -11*q + 8*q + 9. Calculate the remainder when 3 is divided by q.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (45\/36)\/((2\/(-8))\/(-1)). Suppose g = -4*g, -1085 = -d*n - 3*g. Does 11 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -59 + 62.09. Let z = n - 0.31. Let q = z - -9.12. What is q rounded to 0 dps?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8134813\/4 or -2033704?\nAnswer: -8134813\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 538 and 21789?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(90) - sqrt(90)*3)\/sqrt(9))\/((sqrt(2)*4 - sqrt(2))*5).\nAnswer: -2*sqrt(5)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 309736997.\nAnswer: 309736997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 131963 is divided by 4709.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 921156822?\nAnswer: 2, 3, 19, 2693441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2119 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 89\/3, 23, 0.5, 0.014, -2\/3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 58620?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p + 224 = -5*p. What is the greatest common divisor of p and 168?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 90861705 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence em when two letters picked without replacement from eyeeeeyyeymoye.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.0145799 rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < -5\/290817096?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -41*y + 41*y - 6*y**3. Suppose 5*p - 3*p = -12. Let m be 2\/p - ((-12)\/9 + 2). Determine q(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:38 PM and 7:38 PM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.2, 178, -13, 1, 2.7, -1\/6?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k**(-2\/5)*k*k))\/k*k)**(-2\/57)\/(k**(-1\/5))**(-4\/7) assuming k is positive.\nAnswer: k**(-62\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 380*q**3 - 545*q**3 + 8 - 3 in the form m*q**3 + p + o*q + n*q**2 and give p.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(720) + 1 + sqrt(5) + ((sqrt(165)\/sqrt(3))\/sqrt(11) - sqrt(5)) + (sqrt(5)*1*3)**2 + -4)*6*-5.\nAnswer: -2520 - 780*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*y**2 + 0*y + 0*y)*(10*y**2 + 2*y**2 + 9*y**2 - 40*y**2) as s + j*y**2 + n*y**3 + w*y + d*y**4 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-54*40\/(-7560))\/(14\/(-10)*(-15)\/(-6))?\nAnswer: -4\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 3*u - 14. Let o be 85 + 7 + (-5)\/1. Let m = 89 - o. What is the least common multiple of g(6) and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -40113 (base 7) to base 14.\nAnswer: -3743","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -175*p - 9*p = 51*p - 1410 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8.6007764922 - 0.8.\nAnswer: 7.8007764922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -84, -60, 0, 13, -4 in decreasing order.\nAnswer: 13, 0, -4, -60, -84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**2 - 18*h + 1. Let d be j(18). Let p(f) = -d - 3*f + 100*f**2 + f + f**3 + 0*f - 101*f**2. Give p(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/5, -1\/4, 1\/3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 17*o**2 - 11*o**2 - 8*o - 3*o**2 - 5*o**2 as h*o**2 + t + f*o and give f.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.5 - 0.8. Suppose -2*u = -4*f + 26, 0 = 2*u - 2*f - 0*f + 16. Let i = -3 - u. What is the closest to i in -1\/3, z, 0.5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -16, 5 in increasing order.\nAnswer: -16, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 15260000 rounded to the nearest one million?\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (209\/(-19))\/(-66)*2\/23*-6?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*l**2 - 22*l**2 + 2*l**3 + 0*l**3 + 4*l**2 as g*l + z + t*l**3 + m*l**2 and give m.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14 and 24094?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -18*c + 2*s - 260, 0 = 542*c - 547*c + 2*s - 65 for c.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 4*y**3 + y**2 - 35*y + 64. Let p be b(2). Solve -22*a + p = -58 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9252225?\nAnswer: 3, 5, 1523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.88 - 0.12. Let f = 6.5 + m. Let x = f - 3. Which is the second biggest value? (a) x (b) -0.4 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes after 8:42 PM?\nAnswer: 3:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/(l*l**0*l))\/l)**(-6\/19)\/(l*l**(5\/3)*l*l*l**(-4)))\/((l\/((l\/(l*l\/(l*(l*(l**(-2\/17)\/l)\/l)\/l)*l)*l)\/l))\/l**(-1\/7))**(4\/25) assuming l is positive.\nAnswer: l**(-121546\/169575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(1\/2))\/((-429)\/(-117)).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1634334407.\nAnswer: 449, 991, 3673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dwqfccwqfcmc. What is prob of sequence wwf?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-645201)\/(-33) + (-180)\/330?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 + 10. Suppose -2*w + 4*x = w + 5, w - x = m. Solve 0 = -w*z + 7*z - 4 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 19*g**3 - 195*g**2 + 155*g + 555. Determine n(9).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 + (-1)\/(3 - 4). Suppose y = -5*x + 2*z - 3, 4*z - 21 = 2*x - 7. What is the remainder when x is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -61.1667 to the nearest integer.\nAnswer: -61","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 5) to base 15.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -22561624, 0.4 in ascending order.\nAnswer: -22561624, -0.5, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(1*sqrt(171)*-3 - -2*1*sqrt(171)))\/(sqrt(81)\/sqrt(81) + 2*sqrt(1089)).\nAnswer: 18*sqrt(19)\/67","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -3*m**3 - 5*m**2 - 7*m + 5. Let w be 1 - 8\/8*2. Let b(f) = -f**2 - f + 1. Calculate w*y(u) + 5*b(u).\nAnswer: 3*u**3 + 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 b, and 1 d when three letters picked without replacement from {y: 1, o: 1, h: 2, b: 2, d: 1, k: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 0.1 (b) -0.024 (c) 2 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15004549 - 15004549 + 176*n**2.\nAnswer: 176*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 12 + 73014?\nAnswer: 73026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**2 + 5*g - 4. Let r be v(-8). Suppose -3*n = -2*x - 9, -r = -5*n + x + 4*x. Solve 3*f + n = 2*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -132648*x - 1817671?\nAnswer: -132648","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -m**3\/2 + 7921*m**2\/2 + 11885*m + 7924 = 0.\nAnswer: -2, -1, 7924","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6194 and 60970639?\nAnswer: 3097","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**2 + 7*m + 5. Let u be j(-5). Which is the biggest value? (a) 4\/9 (b) 1\/7 (c) u (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -71*k - 3*k**2 + 0*k**2 + 73*k + 2*k**2 - 46*k**3 as o*k**3 + g + j*k + z*k**2 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 59 - 171. Let b = -112.2 - s. What is the nearest to 4 in -1\/4, 3, b?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15 + 12)\/((-6)\/10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 879*y - 1902*y + 10374 = -909*y for y.\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-w + 5*w + 8*w)*(2 + 0 - 4)*(w**3 + 2*w**3 - 6*w**3) to the form n*w**4 + c + r*w + z*w**2 + d*w**3 and give n.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2, 11, 1 in decreasing order.\nAnswer: 11, 1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2278, -2304, -2368, -2488, -2682, -2968?\n\"Answer: -3*d**3 - d**2 - 2*d - 2272","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1864731 divided by -3\nAnswer: 621577","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 663 divide 2449768?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-5 - -2) + 11 - 3. Suppose -4 = -c - n + 2, 0 = -2*c + b*n - 23. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, a: 3}. Give prob of sequence ara.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1\/3 (b) 2\/15 (c) -445.8 (d) -2\/17 (e) -0.02 (f) -9\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (-1 + 3 - 8 - -3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9.3 + -9.3. What is the nearest to f in 5, -0.8, 21?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, 94\/23, -2, 5, 0.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -40*v**4 - 18276*v**3 + 56996*v**2 - 20280*v - 18400 = 0. What is v?\nAnswer: -460, -2\/5, 1, 5\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((7 - 4) + -5)\/(4\/386). Let t = 446 + p. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 15 and 39203029.\nAnswer: 588045435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*q + 234 = 11*q - 0*q for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zcczzzzcczzcczccccz. What is prob of picking 4 c?\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/58977468 and -161\/393183120.\nAnswer: 1179549360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 122, 20, -82, -184, -286?\n\"Answer: -102*r + 224","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-1*sqrt(189)*-4 + sqrt(189))\/sqrt(7))\/(-1*2*(sqrt(108) - (-4*sqrt(108) - sqrt(108)))\/sqrt(12)).\nAnswer: 5*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1580?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*y - 17 + 37, -3*g + 3*y = 3 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -3*i + 3. Let c be m(-6). Suppose l = 2*g - 9, 2*g + 3*l + c = 6*g. Suppose 3*y + 2 + 4 = -3*s, 5*y + g*s = 0. List the prime factors of y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 + 3. Let c(u) be the first derivative of -u**3\/3 - 5*u**2 - 10*u + 1. What is the lowest common multiple of w and c(-7)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t = -d + 4, -5 = 4*d + 2*t + 9 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(153)*-2 + sqrt(85)\/sqrt(5)*-1)**2.\nAnswer: 1666","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -89, 3, 2860 in descending order.\nAnswer: 2860, 3, -89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -14670 divided by -2934?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 - 4. Let g be (8 - 2)*(-2)\/(-3). Suppose 95 = g*s + s - 2*c, 0 = -b*s + 3*c + 66. What is the remainder when 65 is divided by s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -93*g + 38*g - 2 + 2 + 44*g. Let z(m) = -34*m + 1. Calculate -8*c(n) + 3*z(n).\nAnswer: -14*n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4950 is divided by 1040.\nAnswer: 790","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 7*p - 20. Suppose -p*v + 41897610 + 12502390 = 0. What is v rounded to the nearest 1000000?\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4122840.\nAnswer: 2, 3, 5, 17, 43, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lleell. What is prob of sequence ee?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-27 - -46 - 18) + 1 + -2 - 21?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 22290?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.4, -67, -174, 0.1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, -0.1, 1, 1.7 in ascending order.\nAnswer: -2, -0.1, 1, 1.7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**3 - 20*c**2 + 17*c + 41. Let u be i(19). Solve u*n + 4*m = -5, -3*m - 8 + 2 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = 9 - 1. What is the tens digit of 115 - q\/((-8)\/(-4) + -4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 3*n**2 + 3*n - 5. Let z(j) be the second derivative of j**4\/12 + j**3\/6 - j**2 - 104*j. What is -2*o(m) + 5*z(m)?\nAnswer: -m**2 - m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 3*a - 2. Suppose 4*h - 15 = 5*k + 48, -3*h + 5*k + 51 = 0. Suppose -m + 4*m = h. Calculate the remainder when d(3) is divided by m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 63 - (4 + -9 - 7 - ((-189)\/27 - 9)).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-90)\/18*(-306)\/(-170)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 + 4\/(-3))\/(65\/(-515775)). Let f = w - 1344. What are the prime factors of f?\nAnswer: 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 184993 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes after 3:04 PM?\nAnswer: 5:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-16)*184112\/3110?\nAnswer: 37\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 112403, 112404, 112405, 112406?\nAnswer: 112407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -467000 rounded to the nearest ten thousand?\nAnswer: -470000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/9? (a) -4\/3 (b) -4 (c) -2\/3 (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 124*g**2 + 36738*g + 10064. Give n(-296).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 2.662909 litres?\nAnswer: 2662.909","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -r + 9. Suppose -p + 1 + 3 = 0. Suppose 5*z = 3*i + 7, -z + 4*i - 10 = -p*z. Solve -3 = j + z*t, j + j - t = -r for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002755738411 to seven dps.\nAnswer: 0.0027557","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 656.1467 + -0.1467. Is -1 at most as big as x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 183?\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -4*m**3\/5 + 3552*m**2\/5 + 392076*m\/5 - 1208088\/5 = 0.\nAnswer: -102, 3, 987","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 247 is divided by 142?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -536*y**4 - 2*y**3 + 2774*y wrt y?\nAnswer: -6432*y**2 - 12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/(-12))\/((-2)\/6*-1). Factor 1\/2*t**2 + 0 + s*t.\nAnswer: t*(t + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 25*p + 8. Calculate b(-5).\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3561 and 801.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -794 = -15*y + 6181. What is the remainder when y is divided by 39?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 2*r - 2 = 0, 4*r + 25 = -g + 7. Let i be (4\/6)\/(4\/42). Solve 0*p - 4*p - i = k, g*k = -5*p - 8 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4107?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/5 (b) -4 (c) -202 (d) -536\/223 (e) -1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -110.6149 and -429.\nAnswer: 47453.7921","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 1400*q**2. Let v(j) = 8*j. Calculate f(v(r)).\nAnswer: 89600*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 20\/(-24)*(-4)\/5. What is the second smallest value in 1, 1\/4, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 56\/9 - 2\/9. Suppose -2*a = 4, 2*o + 460010 = a - r*a. Round o to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 200976*k**2*l*o**2 - 49*k**2*o + 1247*k**2 + 30*k*l*o**2 - 14*k*l*o + 2*l*o**2 wrt o?\nAnswer: 401952*k**2*l + 60*k*l + 4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**4*m**(-1\/5))\/((m\/(m\/(m*m**(1\/2)))*m)\/(m*((m**(-1\/2)*m)\/m)\/m)))\/((m\/m**(-9))\/(m*m*m*m*m**(3\/4)*m))**1 assuming m is positive.\nAnswer: m**(-49\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 2*s - 0*s - 380, -4*s = -5*p - 764. Suppose 4*m + s = 7*m. Suppose 0 = -b - 3*k + m, -3*b - 54 = -4*b - 5*k. Round b to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 0*o. Let u = -452 - -452. Suppose 20*w - 5 - 35 = u. Solve h + 17 = 4*x + w*h, 3*x + 4*h - 16 = o for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1053\/(-52))\/(-27))\/(45\/8)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 863530 is divided by 29.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 393176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - (-15 - ((3 - 5) + -5))) + -1?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 749771, 749772, 749835, 749990, 750267?\nAnswer: 750696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 5 + 3 = -4*y, -2*h = 4*y + 4. Let d(a) = -4*a**3 - 4*a**2 + a - 1. Let n(i) = -i**2. Let j(k) = d(k) - 4*n(k). Calculate j(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 43677?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 48366213967 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 93*s**2 + 96*s**2 + 97*s**2 - 234*s**2.\nAnswer: 52*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 - 34*h**2 + 72*h - 231. What is r(-36)?\nAnswer: -231","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 15*c**3 - 7*c**2 - 4*c - 1. Let i(b) = 14*b**3 - 8*b**2 - 4*b. Let l(p) = -3*i(p) + 2*m(p). Factor l(s).\nAnswer: -2*(s - 1)*(2*s + 1)*(3*s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 2*b**2 + 4*b + 1. Let f(l) = -4*l**2 - 14*l - 16. Determine f(u) + 4*z(u).\nAnswer: 4*u**2 + 2*u - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2598 + 2717. What is the remainder when 1173 is divided by o?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 777 - 752 - (19 + (3 - 4)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 4*q**2 - 7*q + 3. Let c be u(3). Suppose 2*x - 10 = 0, -2*g - 5*x + c + 13 = 0. List the prime factors of g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 h when four letters picked without replacement from llhlhhhh?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -4*g**2 + 192*g - 2299. Let i(b) = 4*b**2 - 192*b + 2298. Let t(a) = 5*i(a) + 6*k(a). Factor t(h).\nAnswer: -4*(h - 24)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -16*q**2\/5 + 45*q - 14\/5 = 0. What is q?\nAnswer: 1\/16, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 - 20343334021?\nAnswer: -20343334030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the second derivative of -3*m**4\/4 - 212*m. Let i(s) be the third derivative of s**5\/30 + 19*s**2. What is c(i(o))?\nAnswer: -36*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-213)\/(-1278) - (0\/2 + 680\/48)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.73252 - 152.10948. Let c = y - -153. What is c rounded to 2 dps?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -16 - 287763?\nAnswer: -287780","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -a56 - -70?\nAnswer: -9d6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 2*s + 8 = 0. Let y be 55\/20 + 2\/8. Suppose s*x + y*r - 42 = -2*r, -57 = -5*x - 4*r. Calculate the remainder when x is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 673, -446, -1569, -2696?\nAnswer: -3827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -14*s. Let m(c) = 15*c. Let u(k) be the first derivative of 5*k**2\/2 + 1. Let q(a) = -4*m(a) + 11*u(a). Give -3*h(x) + 8*q(x).\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2*1\/3*(-45549)\/18. Suppose -t + k = 3*c, -5*t = -2*t + 5*c - 5069. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -279563 bigger than -279557?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.2 or -40987.0861?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 18553 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 0.5, 0, 68\/9, -4\/4591, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**3 + 6*b**2 - 3. Let h(j) = -j**3 + j**2 - 1. Determine -c(o) + 3*h(o).\nAnswer: -4*o**3 - 3*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 24084083 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 + -2277?\nAnswer: -2275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the first derivative of -118*a**3\/3 + 449*a - 244. Find the first derivative of w(x) wrt x.\nAnswer: -236*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:31 AM and 3:59 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(((-28)\/4)\/(-42)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (165\/6)\/11*4\/2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 0*(-3)\/(-9) + 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35491 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**2 - 7*f + 2. Let n be v(-4). Calculate the common denominator of -8 - 254*9\/(-324) and 126\/(-16) - (-11 + n).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 13*b**3 + 150*b**2 + 56*b - 32. Determine t(-11).\nAnswer: 199","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 3*m + 4 = -5*z, 4*z = 5*m - 2. Suppose 48 = 5*g - 4*g - z*r, g = -3*r + 28. Calculate the remainder when 118 is divided by g.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 62624.25383 - 62624. Round s to 3 decimal places.\nAnswer: 0.254","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 33*i**3 - 18*i**3 + 6 + 4 wrt i.\nAnswer: 45*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6\/715 or -290898?\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*m**4 + 2*m + 4*m**3 + 2*m**4 - 2*m.\nAnswer: -2*m**3*(m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > -38\/23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 42538788\/(-42)*(-42)\/48*4\/3 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the second derivative of -h**7\/3360 + h**6\/480 - h**5\/160 + h**4\/96 + h**3\/2 - 2*h. Let d(s) be the second derivative of f(s). Factor d(c).\nAnswer: -(c - 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12 and 447.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -121 - -110. Calculate the remainder when 130 is divided by 66\/((132\/(-8))\/h).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -543*d**3 + 9694*d.\nAnswer: -3258*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1117 + 1118 - 792*y - 2*y**2 + 43*y - 2*y**3 - 1243*y to the form d*y**3 + k + j*y**2 + o*y and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -16*x - 93 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -116374 (b) -5 (c) 19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7627163?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, 7 in decreasing order.\nAnswer: 7, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/1444 and 131\/1110?\nAnswer: 801420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40 + 29*z**3 + 13*z**3 + 26 - 52*z**3 + 13*z**3.\nAnswer: 3*z**3 + 66","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.4, 8, -6?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8817389 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 1. Let m(y) = 2. Let p(a) = -m(a) + 3*n(a). Let v(c) = -c - 3. Let h(b) = 6*p(b) + 2*v(b). Let x(q) = -3*q**2. Determine h(x(w)).\nAnswer: 6*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 38096.06 centuries?\nAnswer: 380960.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 117307978 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 127 = -o - 6*x, o - 3*x - 101 = -39 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8, -12, -20, -32, -48, -68?\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 11 - 17 = 0. Let b = -3 + d. Suppose b = 5*w - n - 102, -3*n + 8*n = -2*w + 30. List the prime factors of w.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(475) - (sqrt(475) + sqrt(475)*1)*1 - sqrt(475))**2*-5 - ((sqrt(228)\/sqrt(588) + sqrt(19))**2 + 5 + (sqrt(931))**2).\nAnswer: -512580\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 367 = -3*x - 3*h, 2*x - 251 = 5*h. Suppose 5*i = 1017 + x. Calculate the common denominator of 49\/6 and 234\/i - (-1)\/(-2).\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 516267670 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:32 AM and 9:36 AM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3434928 is divided by 445?\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/7, -89\/3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 392752 is divided by 43.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 534 + -535. Let f = -40 + 40.82. What is the closest to f in -1\/4, -1\/2, l?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -39.25 and 83.\nAnswer: 43.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6)\/sqrt(3)*3 - (2 + 1 + sqrt(2)))*-4.\nAnswer: -8*sqrt(2) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*n**2 + 11194 - 11194.\nAnswer: 20*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -14*f**4 + 17*f**3 + 17*f**2 + 35. Let w(n) = 5*n**4 - 6*n**3 - 6*n**2 - 12. Let y(q) = 6*s(q) + 17*w(q). What is the derivative of y(z) wrt z?\nAnswer: 4*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 130595 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 1\/3*y**3 - 5\/3*y**2 - 8\/3*y = 0. What is y?\nAnswer: -2, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-945)\/(-1008))\/(((-1)\/6*-3)\/(-1)*1).\nAnswer: -15\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1571051\/88 - -17852. Find the common denominator of (-1)\/3 + 263\/24 and b.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = -302*x + 312*x. Solve -t - 4*k = -2, 0 = 4*t - x*k - 0 - 8 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 5*c + 18779 = -23862, 2*g = -5*c + 85327. What is the thousands digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -321, -319, -315, -309, -301?\n\"Answer: l**2 - l - 321","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 6*z = z - 6, 3*z = -3*t + 6. Let m(i) = -t + 6 + i + 2. Let f(j) = -2. Let c(s) = -6*f(s) - 2*m(s). Let g(v) = -2*v**2. Calculate g(c(w)).\nAnswer: -8*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (74\/222)\/(1\/(6\/(-2))).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 + 55 - (365 - 221).\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 + 8. Let h(d) = -d. Let w be h(j). Is 5 a factor of -3 - (w + -3) - -17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 121 + 206 + 105 = 48*n for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1447352 is divided by 180918.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22653 + 867 = 1680*l for l.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 + 0*(-3)\/9. Solve -h + 2*h - 3 = o for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*u**3 + 707565*u**2 + 5569*u + 852?\nAnswer: 18*u + 1415130","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (12 + -12)\/(2\/1 + -4). Solve i = 4*c + 18 + 2 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 32602*n**6 + 26582*n**2 wrt n.\nAnswer: 3912240*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the first derivative of l**3\/3 + 7*l**2\/2 - 3*l + 1. Let w be 156\/(-1014) - (-4)\/(-26)*-1. Let v be w - 5 - (2 + -5 + 5). Give c(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, j: 1, y: 3, g: 10}. Give prob of picking 1 j, 1 d, and 1 g.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5551*r**2 - 2370 with respect to r.\nAnswer: -11102*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 2 e, and 1 s when four letters picked without replacement from {m: 1, o: 3, g: 2, e: 3, s: 1, q: 1}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -7 - (-1 - (3 - 2))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + 11\/(-18))*(-224)\/(-392)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -42, -166, -372, -660, -1030?\nAnswer: -1482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 3 t when four letters picked without replacement from {t: 2, r: 8}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 + x + 1. Let n(p) be the first derivative of 2*p + 0*p**3 - 2 + p**2 - 3\/4*p**4. Determine 2*b(w) - n(w).\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 18? (a) -197 (b) -85 (c) 3 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 4278 = -4*s, 0 = 12*w - 80*s + 75*s - 10384. What is the remainder when w is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/17 (b) 1\/2 (c) -38 (d) -21 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1.5 (b) -6 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2.0477, 1\/4, 1\/2, -0.2, -0.4 in descending order.\nAnswer: 1\/2, 1\/4, -0.2, -0.4, -2.0477","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -365258529+46.72\nAnswer: -365258482.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*-295.\nAnswer: 88.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + (1 - (-9 - -3)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 505167715 to the power of 1\/2, to the nearest integer?\nAnswer: 22476","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the first derivative of 3\/14*c**3 - 4 + 1\/14*c**4 + 3\/14*c**2 + 2*c. Let k(s) be the first derivative of b(s). Factor k(m).\nAnswer: 3*(m + 1)*(2*m + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 23*i + 1. Let n be v(1). Suppose -2*m + 3*t + n = t, 0 = 3*m + 3*t - 36. Calculate the smallest common multiple of m and 22.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u\/(u*(u\/(u*(u*u**(2\/7)*u)\/u*u*u))\/u)*u**(3\/5)*(u**0\/u)**29)**41 assuming u is positive.\nAnswer: u**(-33169\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -5*b - 7 - 0, 3*b - 1 = -4*c. What is the hundreds digit of (b + (-8)\/(-6))\/((-59)\/(-25311))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2020 by -5.\nAnswer: -404","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 2*z**2 - 142*z - 165. Let r be f(62). Is r greater than -1280?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2761 - -0.3.\nAnswer: -2760.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add 1041.4 and -1242147455.\nAnswer: -1242146413.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -821 * -1.826\nAnswer: 1499.146","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 3 u when four letters picked without replacement from {u: 7, q: 1}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_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: Is 2543537 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 18*u - 3744. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*x + 18*x + 0*x + 15 - 4*x - 29*x - 17*x.\nAnswer: -36*x + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 (base 8) in base 16?\nAnswer: d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 90409\/14 + -6462. What is the common denominator of (-70)\/270 - 4\/(-8) and t?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**3 + 6*r**2 + 2*r - 3. Let f be x(-5). Suppose -5*m + 2*n + f = 0, -6 = -5*m - 4*n - 0*n. Solve i - 3*i + m = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -0.7, -2\/59 in decreasing order.\nAnswer: 4, -2\/59, -0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000080636 rounded to 6 decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**3 - 8*l**2 + 9*l. Let k be i(-9). Solve -4*d = -k*d + 8 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11\/(748\/48)*(782\/(-51))\/46.\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the second derivative of 0 + 0*y**2 + 181*y + 1\/9*y**3 + 1\/18*y**4 + 1\/120*y**5. Factor p(k).\nAnswer: k*(k + 2)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) 3 (c) -1\/9 (d) 7 (e) 16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 5*u**2 - 39520*u - 39525 = 0.\nAnswer: -1, 7905","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + -3*sqrt(128) - (sqrt(2) - ((sqrt(242))**2 + -2))) + (sqrt(4)\/(sqrt(2) - (sqrt(2)*1 + sqrt(2))) + (sqrt(8))**2 + 2)*5.\nAnswer: -29*sqrt(2) + 290","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 660.\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of -47 and 8517894.\nAnswer: 8517847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 29850, -19, 2 in descending order.\nAnswer: 29850, 3, 2, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -22650*a - 46. Let g(n) = 7551*n + 14. Give -10*g(c) - 3*t(c).\nAnswer: -7560*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 867 and 204?\nAnswer: 3468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 6636 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -2876321.049+0.3\nAnswer: -2876320.749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 50 = 14*h. What are the prime factors of ((8708\/6)\/(-7))\/(h\/15)?\nAnswer: 2, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -43.82383 rounded to 1 decimal place?\nAnswer: -43.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (4 + 10 - 1) - -5\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the first derivative of -7*x**3\/3 - x**2\/2 - x - 16. Give q(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4332a (base 14) to base 5.\nAnswer: -20200042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5187*h**2*o**2*r - 26*h**2*o**2 + 64883*h**2*o - 2442*o**2*r - 2 wrt r.\nAnswer: -5187*h**2*o**2 - 2442*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 665273, 665552, 665837, 666128?\n\"Answer: 3*c**2 + 270*c + 665000","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1661 rounded to the nearest 10?\nAnswer: -1660","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -4122 divided by 3\nAnswer: -1374","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 + 1967278?\nAnswer: 1967278.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**3 - 2*d**2 - d + 470. Let q be k(0). Round q to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -365908 and 0.42.\nAnswer: -153681.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, w: 3, g: 3, s: 1, x: 1, v: 1}. Give prob of sequence gsyy.\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 - ((-721)\/23 - (88 - 33 - 68)).\nAnswer: 8\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -3720493.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 386 divide 10940012?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1488 + -1406. Calculate the remainder when 569 is divided by x.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -48.545 and -7 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22 - 18 + 221 + 164)*(2*c - 3*c + 4*c).\nAnswer: 1035*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 36 = -37*p + 35*p, -5*v - 6 = 4*p. Sort 6, 13, -5, v, 3 in descending order.\nAnswer: 13, 6, 3, -5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*j + 11*j + 17*j + 20*j.\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 46 and 27738.\nAnswer: 27738","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*r + 9 - 16 + 7 - 2*r**2.\nAnswer: -2*r**2 + 29*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 1 + 1 - 32*u**3 - 4*u + 37*u**3 to s*u + p + j*u**2 + d*u**3 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -26450 + 26562. Solve -2*g = 4*c + y - 102, -2*g = -c - 5 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -593*y - 53575 = -5713*y + 89879 + 15266 for y.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 27 and 33?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2909282791 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*a**4 - 20*a**4 - 9*a**4 + (-a + 6*a + a)*(-68*a**3 - 348 + 348).\nAnswer: -442*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in -4, -3, 3, -45?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -26489 + 27935. Calculate the smallest common multiple of 964 and z.\nAnswer: 2892","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-1*(5 + -2*sqrt(128))**2*5 + 4) + 0.\nAnswer: -13405 + 4000*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-22)\/(-22)*(6 + 0). Suppose 10 = d*c - 14. Calculate the smallest common multiple of 3 and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37511975.\nAnswer: 5, 1500479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57325?\nAnswer: 5, 2293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4.5 or -495893?\nAnswer: -4.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/23 + 700\/(-115)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.7883445 to 3 dps.\nAnswer: 4.788","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -136, -4, 4 in descending order.\nAnswer: 4, -4, -5, -136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 354391?\nAnswer: 354391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 3 times 7801319\nAnswer: 23403957","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 369*k**4 + 1056*k wrt k.\nAnswer: 4428*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*h = 15*h - 4*v - 35, 0 = h - 5*v - 28. Let f be (-32)\/10 - (-1)\/5. Which is the nearest to 1\/3? (a) f (b) 0.5 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2\/11)*m**(-7))\/(((m*m\/m**(-6))\/m)\/(m*m**(-7)*m)) assuming m is positive.\nAnswer: m**(-211\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 21*j - 1. Let w(s) = 2*s - 7. Let k(v) = v - 1. Let m(r) = -14*k(r) + 2*w(r). Let t(l) = -7*m(l) - 3*y(l). Determine t(-2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - ((8 + 21 + 4 - (5 + -6)) + -3).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -2*b**3 + 23*b**2 + 18*b - 313. Determine q(11).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -69 - -197. Let q be (-5)\/(i\/44 + -3). Suppose 5*j - 2*d = 56 + 9, 4*j = d + q. Solve -y + j = -4*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 4*g - 12 = 0, -2*w + 6*w + 3*g = 9. Suppose w = 4*c - 9 - 3, -c = 5*y - 2248. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 198*v**2 - 4*v + 2. Suppose 33*s + 7 = 26*s. What is the least common multiple of 3 and r(s)?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 192661476*c**5 + 7757*c - 16281.\nAnswer: 3853229520*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u + 8, 4 = 4*m + 6*u - 8*u. Let c be m\/(-23) + 25\/23. Solve n = c - 3 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -132*t - 32746 = -58119 - 91579. Calculate the remainder when 3552 is divided by t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4757752 to the nearest integer?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.5 + -0.1. Let m = k + -0.9. Sort 0.5, m, -0.2 in increasing order.\nAnswer: m, -0.2, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 32, 76, 122, 170, 220, 272, 326?\n\"Answer: q**2 + 41*q - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -5, -3*y + 4*l = 2*l - 10. Suppose -3*s + 541 - 82 = y. Let v be (4 - 5)\/3*-51. Calculate the highest common divisor of v and s.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -695 - 7*v + v**3 + 1391 - 703 to i + c*v**2 + u*v + h*v**3 and give i.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1144056 by -7836.\nAnswer: -146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the first derivative of r - 2\/3*r**3 + 2*r**2 - 4. Let w(t) = -t**2 + t. What is 2*d(m) - 6*w(m)?\nAnswer: 2*m**2 + 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0453 * 3703.\nAnswer: 167.7459","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -2*f - 11*f + 2 - 1. Let b be i(-1). What is the units digit of (-4)\/b - (-79)\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 945\/4 - 235. What is the second biggest value in 4, 3, l?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 11 + 10\/(-6) - (-1)\/(-3). Is f - 3 - (-1 - 519) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80*o - 45*o = 5694605. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/3, 2, 0.4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, 1\/2, 64, 7?\nAnswer: 64","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -196*v**2 - 197*v**2 + 943*v**3 - 3*v - 945*v**3 to the form x*v + n*v**2 + m + t*v**3 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11\/4 - -9\/4. Which is the third smallest value? (a) z (b) 3\/7 (c) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes before 7:34 PM?\nAnswer: 3:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express d**3 - 13*d**3 - 2*d**3 + 9*d**3 - 4 + 6*d**3 - 34*d**2 as s*d**2 + x*d + k*d**3 + q and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jwjbbjwjwbjbjw. What is prob of sequence bwbb?\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9*4\/168)\/(1\/2).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -14*l + 50. Let g be w(3). Solve -s - 3 = 4*u, 0 = 3*s - g*s - 2*u + 3 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 225548344?\nAnswer: 2, 7, 1987, 2027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4.211 + -0.089. Let o = 42.3 + i. Let z = -37.9 + o. Which is the nearest to z? (a) 3 (b) 4 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 31368.5 and 369708851?\nAnswer: 369677482.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/14 greater than 78994898?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/6 in -13, 14\/31, 10\/3?\nAnswer: 14\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14 and 4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000462056185 to 6 decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 307 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:46 AM and 6:02 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 8*d + 3. Let h(b) = -16*b - 7. Let u(i) = 2*h(i) + 5*s(i). Let l be (-16 - (-38 - -27))\/((-10)\/(-12)). Let y(c) = -c. Calculate l*y(a) - u(a).\nAnswer: -2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes before 9:59 AM?\nAnswer: 3:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1211*j + 41827 - 41827.\nAnswer: 1211*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, c: 2, e: 1, k: 1, x: 2, a: 3}. What is prob of picking 1 k, 1 c, and 1 x?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(1377)*4 + -1)**2 - (sqrt(119)\/(4*sqrt(21)\/sqrt(3) + sqrt(7)))**2*-2.\nAnswer: -216*sqrt(17) + 4957259\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 6*m - 1. Determine v(19).\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a - 4*a + 2*i + 7, 0 = -5*a + 4*i + 29. Solve 2*u - 2 = 4*t, -15*u + 16*u - a*t = -5 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (2 - (0 + -1)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-520)\/(178 + -113) - 1\/2*-22?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 5\/4 of a millimeter?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1\/(-3))\/(85\/102))\/(18\/(-30))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 bigger than -789?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*d**2 + 6*d**2 + 2*d**2.\nAnswer: 11*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 5 = -8, -i - 2*s + 1 = -4*i + 9 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/((0 - (-3762)\/(-1878)) + 2). Is k bigger than 939?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, -19, -3, 6, -318?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -46*t**3*w - 3*t**3 + 85*t**2*w**3 + 542*t**2 with respect to w.\nAnswer: -46*t**3 + 255*t**2*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*j - 4361683 - 7*j + 4361683 - 2*j + 4*j.\nAnswer: -10*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31766, -31752, -31724, -31676, -31602, -31496, -31352, -31164?\nAnswer: -30926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1658*p - 103?\nAnswer: 1658","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*f*m**3 + 620*f*m*t**3 - 809*f*t**2 - 2*m**3*t**3 + 6*m**3 + 239*m**2*t**3 - 8*m with respect to f.\nAnswer: 4*m**3 + 620*m*t**3 - 809*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -7 (b) -0.1 (c) 160117\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 5462*n - 67. Let a be h(-13). Let p = 176073 + a. Round p to the nearest 10000.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -o - 2*o - 18, 2*g - 5*o = 32. Suppose 42 = g*u + 24. Solve -3*d = -0*d + u for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (378\/48)\/21*8?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1082 - -3272. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**3 - 2*x**2 + 2*x - 204. Let o(w) = -5*w**3 - 11*w**2 + 11*w - 1019. Determine -2*o(s) + 11*q(s).\nAnswer: -s**3 - 206","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5824117?\nAnswer: 13, 53, 79, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4450238801 to the nearest integer?\nAnswer: 1645","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 118 is divided by (2\/(-4))\/(9\/(-216))?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*g**4 + 13*g**3 + 106*g**2 + 2*g wrt g?\nAnswer: 48*g + 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.075 - 12.925. Let s = c + 20. What is the biggest value in s, 0.3, 5, 4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -2*r**2 + 9*r + 22. Determine l(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1733 + -1729. Solve -4*y = 2*r - 3*r - 3, 24 = 2*y + l*r for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1264 and 12785755?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-13)\/14 - 1\/(-2). Let y = -0.23 - -0.73. What is the closest to -1 in o, y, 3\/5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 divided by 230.\nAnswer: -7\/115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 32\/(-3)*((-393)\/(-4))\/(-1). Suppose -k + x = 4*w - 2*w, -5*w - 3*k + 2622 = 0. What are the prime factors of w?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 62733893 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v + 0*v - 3*v)*((5 - 3 + 0)*(3 + 2 - 6) - 2 + 0 + 3).\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**2 + 10*i - 10. Let o be y(5). Suppose -o + 29 = 7*l. What is the nearest to 13\/5 in 1, 2\/15, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -27 - -3?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 79500.63 - 78166. Round v to the nearest 10.\nAnswer: 1330","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1121844 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i + 0*i - i)*(5 + 4 - 5) + (50 - 146 - 554)*(i - 3*i + 0*i) + (2*i + 0*i - i)*(0 + 5 - 3).\nAnswer: 1310*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p + 4*p - 3*p)*(0 - 3 - 1) + p + 2 - 2 + (-p + 5*p - 5*p)*(0 - 2 + 1).\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -2*j**3 - 22*j**2 - 51*j + 24. Let o be h(-4). What is the fourth biggest value in 1, 4\/955, -4\/3, o?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5112521 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, 55, 0.02429?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 188 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13 - -210020?\nAnswer: 210001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.109 * 6.\nAnswer: 12.654","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-6\/13)*x*x)**48\/(x**(-19))**(-2\/17))**(3\/17) assuming x is positive.\nAnswer: x**(47478\/3757)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -25*x - 4. Let z(o) = 17*o + 3. Let m(p) = 5*g(p) + 7*z(p). What are the prime factors of m(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15) - sqrt(30)\/sqrt(128))\/(sqrt(3) - sqrt(450)\/sqrt(6)).\nAnswer: -7*sqrt(5)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 2*i**3 - 32*i**2 - 5*i + 84. Give u(16).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, n: 3, i: 1}. Give prob of picking 1 i and 1 n.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.9 + 1.1. Let n = 3.368 + -0.218. Let k = -5.85 - n. Which is the smallest value? (a) x (b) k (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bnn when three letters picked without replacement from hnnhcubhhnhh?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen eighths of a milligram in micrograms?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -417338 times 2\nAnswer: -834676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 6 (b) -294 (c) -38 (d) -0.04 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -118*u - 4531 = -44*u + 123*u for u.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2\/51 - -22\/17. Suppose 182 = r + 179. What is the fourth biggest value in l, 0.1, -2, r?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4791 or -4792?\nAnswer: -4792","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1c (base 13) to base 7.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x + 17*x + 14*x - 374. Calculate the remainder when 9168 is divided by x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -28570*k**2. Let s(l) = -906*l. What is s(h(o))?\nAnswer: 25884420*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -958*c + 1032*c - 60310 = 0. What is the remainder when 3281 is divided by c?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 2*w**2. Let c(n) = 11*n + 62. Let i(o) = 8*o + 60. Let h(t) = 2*c(t) - 3*i(t). What is h(v(r))?\nAnswer: -4*r**2 - 56","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -119282.61 and 0.3?\nAnswer: -35784.783","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes before 11:40 PM?\nAnswer: 4:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*q + 0*q - 3*q)*(4*q - 4*q + q**2) + 0*q**3 - 7*q**3 - q**3.\nAnswer: -7*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 - 264)*50\/(-10). Suppose 7*n - i = 2*n. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/7*(-27327)\/(-12). Let h = 1307 - r. What is the common denominator of -5\/4 and h?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the first derivative of s**2\/2 + 2*s - 1. Let j be c(-2). Suppose z - 29 - 8 = j. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.19 - 0.11. What is the closest to 0.1 in i, 3, 3\/5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j + 8*j = 2. Find the second derivative of 2*n**4 - 11*n**5 - 47*n**j + 47*n**2 - 5*n wrt n.\nAnswer: -220*n**3 + 24*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000245524 rounded to six dps?\nAnswer: -0.000246","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5230.1 + -5230. What is the nearest to -75 in 3, d, 1\/3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 2*t. Let c(j) = -2*j**2 + 692. Calculate b(c(r)).\nAnswer: -4*r**2 + 1384","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put together 126.303 and -8278.\nAnswer: -8151.697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5\/6, -2\/129, -1.1, -0.2, 0.2?\nAnswer: -2\/129","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2053.\nAnswer: 2053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2253412 (base 8) to base 11.\nAnswer: 388980","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 2*o**2 + 6*o - 21. Suppose -3 + 12 = 3*b. Calculate the lowest common multiple of 55 and a(b).\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18, -25, -30, -33?\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 14880?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 81\/353620 and 19\/60.\nAnswer: 1060860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-11) - (-3)\/(-693)*75.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 132354 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve a = 2, 2*v - a = -0*a + 8 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 558 is divided by 271?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (33\/(2178\/748))\/((-20)\/(-30)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 - -11. Let j(i) = -6*i - 14 - 6 - 17*i**2 + r. Let g be 0 + -12 + (1 - 0). Let o(y) = -6*y**2 - 2*y - 6. Give g*o(p) + 4*j(p).\nAnswer: -2*p**2 - 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96*y = -62*y - 204 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-55)\/(20\/4))\/(4\/(-21)*(-238)\/136)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1761 + -1243. Let d = 1175 - q. What is the least common multiple of 8 and d?\nAnswer: 5256","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*r + 450 = -80 for r.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jn when two letters picked without replacement from {z: 2, h: 2, j: 6, l: 1, n: 1, r: 3}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - 0*p - 2*p + 42, 3*r + p - 101 = 0. Suppose -2*g - 3*y = -19, 4*g + 2*y = -2*y + r. What is the biggest value in g, 1, -5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10948 divided by -3.\nAnswer: -10948\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.034 and 0.2?\nAnswer: 0.0068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 8*t + 36. Put 50, 5, t in descending order.\nAnswer: 50, 5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/14*(-27)\/108.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3 - 75)*(-4)\/(-3). Let h = -52 - s. Let c(w) = -6*w**2 - 325*w + 1713. Calculate the least common multiple of h and c(-59).\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 - 7. Suppose 0 = -2*t + 18 + 30. Solve -3*n = -4*w, 3*n + t = -0*w - v*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - 3814 = 2*d - 3777, 0 = 2*d + 3*y + 23 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 6567*a**2 + 10338*a**2 - 5083*a**2 as n*a**2 + r*a + i and give n.\nAnswer: 11822","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 4*u = -20, -3*m - m - 3*u = -20. Let r = -20 + 23. What is the remainder when m is divided by r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 - -5. Suppose 0 = 6*o - s*o - 4. Which is bigger: 3 or o?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2135)\/(-1525) - 2*34\/120 - 2?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((2*sqrt(832) + 4 - (sqrt(832) - (sqrt(832) + -4*sqrt(832) + -5))**2) + -5).\nAnswer: 608*sqrt(13) + 26676","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/(-18) + 1958\/(-12). Let r(q) = q**3 + 3*q**2 - 17*q - 92. Let o be r(-5). Let i = o - y. What is the tens digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 134 + 2367578?\nAnswer: 2367712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11302898, -11302897, -11302896, -11302895, -11302894, -11302893?\nAnswer: -11302892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let q = -12 - -16. Suppose 4*c = -4*h + 140, -q*h - 14 = -c + 21. What are the prime factors of c?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8337750, -16675517, -25013298, -33351099, -41688926, -50026785, -58364682, -66702623?\nAnswer: -75040614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = m + 1. Let n be 0\/2 + (5 - 3). Solve m*d = -n*d - 15 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18 - 12. Suppose -u + h*u = 110. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 23 - -13450b9?\nAnswer: 1345120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l = -l - 30. Let n = 3 - 0. Suppose 2*k = -5*v, -4*v + 16 - n = -k. What is the greatest common divisor of l and v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 420 is divided by 47?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 188*c. Let n(l) = 23*l. Determine w(n(s)).\nAnswer: 4324*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f\/(f\/(f\/f**(-2)))*f*(f\/f**8)\/f*f*f\/(f**(1\/29)*f)*f**15 assuming f is positive.\nAnswer: f**(376\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -3, 2\/5, 193\/3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3*(-1)\/(9\/6). Let f(l) = -l**3 - 5*l**2 - 6*l - 6. Let z be f(-4). Suppose 3*n = 0, 0*m + 4 = z*m + o*n. Solve 3*j + 2 = d - 11, j = m*d - 6 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 73828 and 6447.\nAnswer: 475969116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 4, y: 3, x: 4, t: 3}. What is prob of sequence hh?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11609 - -19036. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1281, -1008, -739, -474, -213?\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 92 + -95.9. Let f = -10 - -14. Let b = c + f. Sort b, -2\/19, -0.4.\nAnswer: -0.4, -2\/19, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3054 is divided by 102?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -2748110 to the nearest 100000.\nAnswer: -2700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (5583*f + 461*f - 1028*f)*(5 + f - 5) in the form i*f + p*f**2 + q and give p.\nAnswer: 5016","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/53 in -5, 3\/2, 2\/7, 3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**3 + 8*m**2 + 4*m - 19. Let q be n(8). Suppose i - 5*u + q = 0, -2*i - 3*i + u = -7. Is (4 - 3002)\/(i*-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/(-1)*(1 - -1). Let o(p) = 3*p - 3. Calculate the remainder when -2 + 23*-2*-1 is divided by o(f).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 692 - 57. Let f = n - 635.4. Which is the closest to 4? (a) -2\/15 (b) f (c) 0 (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8 and 1303748.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -29362*v + 29359*v - 15 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/1056 and 103\/420.\nAnswer: 36960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 133\/(-28) + (58\/56 - (-10)\/(-35))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 171 = -4*o + s + 1097, 1156 = 5*o - 2*s. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -1. Let x(r) be the third derivative of r**4\/24 - r**3\/2 + 8076*r**2. Determine -4*v(y) + x(y).\nAnswer: y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -37927 + 37931. Solve -8*h = d + 42, -m*h + 7*d - 16 = 5*d for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 2*o + 15. What is the lowest common multiple of y(-5) and 27?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 522.18929 to the nearest integer.\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 311262 (base 7) to base 5\nAnswer: 3201212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 47 + -436aa?\nAnswer: -43663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 701271 divided by -1367\nAnswer: -513","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 82903 to the power of 1\/2, to the nearest integer?\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13 - -26. Let q = -8 + 12. Solve q*y + w = 2 + 9, h = -3*y - 5*w for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -134*t - 4. Let c be g(1). Let m = c + 396. Suppose 0 = 2*y + p - m, -7*y + 2*p = -5*y - 258. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.4 and -0.044?\nAnswer: -0.0616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 - 13*q**2 + 5. What is m(13)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 293124 = -0*p. Suppose 3*i = -0*i + p. Suppose u - i = 445573. Round u to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 441 + (4 - 5) + 5. Suppose -5*f - q = -5*b, -b - 4*f + 19 = -60. Is b a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -106*u - 126*u - 325*u**3 - 39*u**3 - 122*u**3 + 232*u.\nAnswer: -486*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1 (b) -3.4 (c) -1 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/119 (b) -0.13 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4.1531*0.3.\nAnswer: -1.24593","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 46*x + 325049 - 324727 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:07 PM and 4:07 AM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 29559 equal to 29522?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 24 = -2*z, 2*l = -4*z - 5 - 33. Let t(d) = -2*d**2 - 9*d + 30. Let k be t(z). Which is the closest to -2? (a) 5 (b) 6 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 16*y = 0. Let g(r) be the first derivative of 9\/2*r**2 - 3\/4*r**4 + 6*r + y*r**3 - 4. What is d in g(d) = 0?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 18 = 4*i, 3*s + 2*i - 22 = -2*i. What is the highest common factor of 15 and s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 2*c + 117 = 125, 3 = 2*k - 9*c for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3 - -997)\/(8*(-2)\/(-28)). Let q = -132217\/76 + d. What is the common denominator of -13 and q?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 178, 35, -196, -509, -898, -1357, -1880?\n\"Answer: u**3 - 50*u**2 + 227","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 13 + 0*g - 2*g - 11.\nAnswer: -2*g - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -13*c**3 + 66*c**2 - 5*c = 0.\nAnswer: 0, 1\/13, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -616.6? (a) 3 (b) 4 (c) -5\/3 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 5768126?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 113670279?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 132 and 180.\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -29*l + 1. Let s(n) be the second derivative of -n**4\/12 - 5*n + 2. Determine b(s(h)).\nAnswer: 29*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -11*h**2 + 19*h - 2. Let y(a) = 5*a**2 - 9*a + 1. What is -4*c(b) - 9*y(b)?\nAnswer: -b**2 + 5*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 84191, 84300, 84483, 84740, 85071, 85476, 85955?\nAnswer: 86508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a milligram in micrograms?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -40*n**5 + 3*n**2 + 79*n**5 - 36*n**5 wrt n?\nAnswer: 180*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g + 2. Let o be n(1). Suppose -o - 1 = -h, -2*i = -3*h. Suppose x - 52 = -4*u - 3*x, -3*u + 19 = -x. Calculate the remainder when u is divided by i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -f**4 + 19538*f**3*z**2 + 89*f**2*z**2 + 71*f**2*z wrt f.\nAnswer: -24*f + 117228*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 996 - 993. Solve -3*g - 20 = -n*w + 7, 0 = 4*w - 3*g - 32 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.419382 milligrams to kilograms.\nAnswer: 0.000005419382","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*a - 4*a - 10. Suppose -5*y = 3*c, y + 13 = 3*c - 5. Let p = 13 - 17. Sort p, y, a in ascending order.\nAnswer: p, y, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = g, -3*g = -4*m + m - 57. What is the remainder when (-1)\/3 - 402\/m is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 319040559?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1300 = -4*l + 4600. What are the prime factors of l?\nAnswer: 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 9) to base 8\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - 7\/(-4)*2*(-120)\/(-210)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 + 3*w**2 - 2*w - 6. Let h be u(-4). Let q be h\/4*(-4)\/7. Solve -q*z - 4 = 6 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 3620*i - 1267. Let y(v) = 3*v - 1. Determine -t(m) + 1267*y(m).\nAnswer: 181*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 421 - 417. Let o = -3.9 + 8.9. What is the fourth biggest value in o, -3, u, 12?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 2 (b) -1 (c) -7\/6 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**2 - 30*m - 64. Give s(-28).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 7*s**3 - 70*s**2 - 11*s + 82. Determine u(10).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5637 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 166 - 167. Let z = -3.04 - -2.84. Sort y, 0.5, z, 4\/49 in ascending order.\nAnswer: y, z, 4\/49, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*a = -12*a - 4890. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + (-24)\/(-144) + 170\/(-12)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes after 10:44 PM?\nAnswer: 12:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.9976 rounded to 0 decimal places?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + 277*b + 18 = 281*b, 0 = -3*q - b + 15 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 14*a**3 + 2*a**2 - 2*a + 1. Let d be j(1). Suppose 18*y - 324 = d*y. Suppose 3*v = 0, -3*h + 2*v - v = -y. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 255 and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**3 + 4*m**2 + m - 4. Let r be p(4). Let b be (3*(-5)\/15)\/13. Are r and b equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*r - 8*r - 19 + 19 + 28 to s + a*r and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -18 + 17. Let s be (-1)\/(x*3\/6). Suppose -5*a + 447 = -s*n, -2*a + 134 = 5*n - 68. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, -5, -5.2, -0.5, -10, 0.02, -2.4?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k. Let w(d) = -365621227*d**2. Calculate w(u(s)).\nAnswer: -365621227*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m - 4. Let d(i) = -3*i - 9. Let r(f) = -4*d(f) + 9*v(f). Let a(g) = 15*g. What is a(r(h))?\nAnswer: 45*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-6)*h*h\/(h*h*h**(2\/11)))\/(h**(-1))**(-21)*(h\/h**6)\/h*h**(1\/2)*(h\/h**0)**(-17\/3) assuming h is positive.\nAnswer: h**(-2465\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-8)*b\/b**1)**(7\/3)*(b**0\/b)**24*b**2\/(b\/b**(-7)) assuming b is positive.\nAnswer: b**(-146\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/49 >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0 - -2 - -1*(-2 - 2)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -3, 3, 5, 102 in increasing order.\nAnswer: -3, 3, 4, 5, 102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2599707505.\nAnswer: 5, 37, 53, 265141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 295, 5 in decreasing order.\nAnswer: 295, 5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 j when two letters picked without replacement from {r: 1, m: 3, a: 3, j: 3, z: 1}.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -8, -11, -14?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -10261*o + 61558. Calculate y(6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-20)\/(-25) + (-42)\/(-10). Suppose -4*j + 11 = a*d - 10, 3*j + 5*d - 17 = 0. Calculate the least common multiple of 2 and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 280 + -275. Let j(x) = x**3 - 7*x**2 + 11*x - 4. Give j(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/2 (b) 3\/51763 (c) -0.1 (d) -3\/7 (e) 1\/70\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the third derivative of 4\/3*w**3 - 1\/3*w**4 + 1\/60*w**5 + 0*w + 0 - 7*w**2. Give m(7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -4*n**2 + 15*n - 10. Let s(q) = q**2 - 5*q + 3. Let p(g) = 7*s(g) + 2*v(g). Let m be p(-4). Let r(y) = 3 - 2*y + 4 - 5*y + 4*y. Give r(m).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -47*t**3 - 2*t**2 - 3*t - 44. Let o(n) = -143*n**3 - 7*n**2 - 10*n - 133. Let r(j) = 2*o(j) - 7*q(j). Find the second derivative of r(f) wrt f.\nAnswer: 258*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - 0 - ((-4 - -12) + -12) - 11?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6148 or -9876?\nAnswer: -6148","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in twenty-seven fifths of a millimeter?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 215 + 84 = 13*u. What are the prime factors of u?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9229592 is divided by 615304.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the second derivative of d**4\/12 + d**3\/2 + 8*d**2 + 9*d. Let a be l(-16). Suppose -i + 1 = -3, 5*i = -4*q + a. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-108)\/18*(-10)\/4. Suppose 3*c - z = 24. Let g be (20\/(-30))\/(-1 - c\/(-3)). What is the second smallest value in g, -5, 3\/2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -124 - -120. Let u = -219\/26 - -1725\/52. Calculate the common denominator of (31\/m)\/(16\/(-8)) and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (69\/276)\/((-10)\/48).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.101134 and 5.\nAnswer: 0.50567","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 3*z - 115 = 0, -z - 209 = 4*h - 0*h. Let b = h + -8. What is the common denominator of (-9)\/(-27)*(0 - b) and 101\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**3 - 20*j**2 - 238*j - 1020. Give f(-7).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the third derivative of 0*p - 3\/4*p**4 + 0*p**3 - 2 - 34*p**2. Let s(b) = -b. Give h(s(r)).\nAnswer: 18*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 4*d + 26 = -7*d, 4*t = 4*d + 44. Let z(l) = -9*l + 9. Let b(i) = 5*i - 5. What is t*b(k) + 4*z(k)?\nAnswer: -k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -6583, -3969, 385, 6479, 14313?\n\"Answer: 870*c**2 + 4*c - 7457","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**2 + 5*a - 17. Let p be z(-7). Let k = -2 - -5. Sort p, k, -4.\nAnswer: -4, p, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/(0 - 7) + 3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 5*h**2 - 3102*h + 43472. What is y(14)?\nAnswer: 1024","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 2*k**3 - 413*k**2 + 4116*k + 3. Calculate r(196).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1533*d + 795*d + 763*d.\nAnswer: 25*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -698*b - 391101. What is d(-560)?\nAnswer: -221","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the second derivative of n**3\/2 + n**2\/2 - 12*n. Let x(d) = -5*d - 2. Calculate -7*b(z) - 4*x(z).\nAnswer: -z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5237\/4 - -1286. Find the common denominator of (-176)\/36 - (-2)\/(-6) and n.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 4\/9 (b) 4 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-1485)\/12)\/(-5))\/(903\/1204)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-4)\/(20\/247))\/((-23)\/115). Is g less than 249?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-25)\/(-10)*2*-1)\/(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kv when two letters picked without replacement from vvvvvkvvvvvvv.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -13*s**2 + 55*s + 3. Let a be k(4). Solve 10*i + a = -15 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -163 - -198. What is the remainder when n is divided by (2 - (-42)\/(-2))\/(-1)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 190, 381, 570, 757, 942?\n\"Answer: -r**2 + 194*r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 u when three letters picked without replacement from uururru.\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or 6.315?\nAnswer: 6.315","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 116.7971757 to the nearest 10.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(1\/6)*d\/(d*d**(-2\/15)))\/(d**(3\/4)\/d*d**(-14)))**38)**(10\/3) assuming d is positive.\nAnswer: d**1843","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from rrrirfrwirkkwkwrd.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is (-16)\/(0 + -2) + 458104 + 7 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 594313 (base 12) to base 16.\nAnswer: 15f1bf","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/5? (a) -1 (b) 1 (c) -3 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3.8719 and 5.\nAnswer: 19.3595","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/661194 and 69\/23590?\nAnswer: 23141790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/3)\/(-5*10\/(-75))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -143 + 137 - (-1 - -32)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 8 - 1349*t**3 - 118*t - 2 + 118*t + 1011*t**3.\nAnswer: -338*t**3 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -7*s**3 + 221*s**2 + 126*s - 94. Calculate a(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 157\/13, -3.\nAnswer: -3, -1, 157\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + w**2)*(-3*w + 2*w + 3*w)*(2 + 4 - 4)*(w + 12 - 12).\nAnswer: 4*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*p - 6*p + 2*q = -28*p + 4*p + 20, -3*p - 27 = 4*q - 37 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-3\/4)*j)\/(j*j**(3\/13))*j*j\/j**11*j*j**(-13)\/j assuming j is positive.\nAnswer: j**(-1195\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 2*z - 556 = 0. Let d = -975\/7 + z. Which is the second biggest value? (a) 2\/9 (b) 2\/7 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -95.2462 - 7?\nAnswer: -102.2462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20022 (base 5) to base 2.\nAnswer: 10011101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6349138139 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000072828 rounded to seven decimal places?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*d - 80, -3*f - 137166 = -2*d - 137155 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*c + 4 = 23*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -0*x - 9. Let i(j) = -j**2 + 10*j - 11. Let t be i(x). Does 13 divide 2\/((-180)\/93 - t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 4 - 3*u)*(-25*u**2 + 1 - 28*u**2 + 4*u + 64*u**2) to the form g + k*u**2 + m*u + a*u**3 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the first derivative of -t**3\/3 + t**2\/2 + t + 12. What is d(-2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2288233988 to the nearest integer?\nAnswer: 1318","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3850*u**3 - 1928*u**3 - 1927*u**3.\nAnswer: -5*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -97*k + 489. What is l(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 1. Let y(n) = 2*n - 11. Determine 6*c(i) + y(i).\nAnswer: 2*i - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 30.71714m in millimeters?\nAnswer: 30717.14","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xczrzr. Give prob of sequence rx.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*m**2 - 14*m**2 + 31*m**3 + 59*m**2 + 20*m**3 - 24*m**2.\nAnswer: 51*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 6004 to the power of 1\/2, to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -4353957, -4353954, -4353951?\n\"Answer: 3*j - 4353960","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3219 is divided by 2488.\nAnswer: 731","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 3 e when four letters picked without replacement from {z: 1, v: 1, e: 1, u: 1, a: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-8))\/((10\/60)\/((-6)\/(-2)))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -h**2 + 5*h**2 - 3*h**2 + (-2*h + 6*h - 6*h)*(4*h - 3*h + 0*h) as o*h**2 + g*h + y and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 333?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 114*h**3 + 20*h**2 + 24*h - 18. Let r be z(11). Round r to the nearest 10000.\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 525 and 84.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**3 - s + 3. Let d be y(-3). Let i be 62\/4*(-10)\/(-5). Let w = i + d. Solve p = 3*r, 4*p + p = 5*r + w for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 5*m + 2*l, 3*m + 1 = -5*l + 6. Let v = -210763\/52 + 4053. Let s = v - 3\/26. Which is the nearest to s? (a) -3 (b) m (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 16) in base 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*q + 33\/2*q**2 + 8 + 1\/2*q**4 + 5*q**3 = 0 for q.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**3 + 7*j**2 + 11*j + 5. Let p be u(-6). What is the second smallest value in -2, p, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u + 2. Let b(i) = 2*i - 5. Let m = -75 + 71. Let h(t) = m*b(t) - 9*o(t). Give h(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.21 (b) 87 (c) 6.4 (d) -0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 6*v**3 + 7*v + v - 10*v + v**2 + 5. Is x(4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/249 (b) -6 (c) -5 (d) 0.046825\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 37*j**2 - 39*j**2 - 2.\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*d**2*u**2 - 64*d**2 - 257*u - 8 wrt u?\nAnswer: 8*d**2*u - 257","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 70*a**4*m**2 - 3*a**4 + 6*a**2*m**2 + 21*a**2 + 2*m**2 wrt a.\nAnswer: 1680*a*m**2 - 72*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4505 + 6?\nAnswer: 4512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -2*i**2 + 2*i + 8. Let a(f) = -5*f**2 + 4*f + 15. Determine -6*a(h) + 11*t(h).\nAnswer: 8*h**2 - 2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -299414, 5, -3\/5?\nAnswer: -299414","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -5*n. Let k be t(1). Let p = -3 - -3.1. Let o = 3 + 0. Which is the smallest value? (a) o (b) k (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.05, -0.14, -3, -2, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of q**4*u - 22300*q**4 + 2*q**3*u - 43*q**2*u - 2*q**2 - 105*u wrt q.\nAnswer: 24*q*u - 535200*q + 12*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the second derivative of o**3\/6 - o. Let m(s) = -33*s. What is q(m(d))?\nAnswer: -33*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 plus 3103.853?\nAnswer: 3129.853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0004318046 to 4 dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-44)\/((-35)\/(-14)*8\/(-210))?\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 135, 219, 303, 387, 471, 555?\n\"Answer: 84*n + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54882?\nAnswer: 2, 3, 3049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**2 + 250*i + 4779. What is w(-20)?\nAnswer: 179","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 300\/315*-7*6\/(-8). Solve 17 = -4*h + 2*d + 19, l*h - 4*d = 10 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.013 > 1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 6*g - 10. Let r be z(2). Solve -r*s = -4*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 3*z**2 - 2063*z + 16484. What is m(8)?\nAnswer: 172","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxjmmjjmjmxmmmmj. Give prob of picking 2 x.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l + 3. Let d be z(7). List the prime factors of 7\/((0 - d)\/8).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**3\/5 - 29312*h**2\/5 + 21473970*h + 214856964\/5.\nAnswer: 2*(h - 7329)**2*(h + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*c + j - 3, c = -0*c - 4*j + 12 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2012292960 rounded to the nearest 1000000?\nAnswer: -2012000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) -2\/183 (c) 9 (d) 0.1 (e) -27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the third derivative of 23*t**2 + 0*t**4 + 0 + 0*t**5 + 1\/15*t**6 - t**3 + 0*t. What is the derivative of w(y) wrt y?\nAnswer: 24*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 3*y**3 - 27*y**2 - 25*y - 26. What is the tens digit of p(15)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 24 - 19. Let d = -29 + 47. Let r be 3\/d - (-1)\/(-2). Put 3, r, i in decreasing order.\nAnswer: i, 3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/2079 and 20\/1701.\nAnswer: 18711","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9468 + 3563 = -941*w - 240*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 37.39 or -0.1?\nAnswer: 37.39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -3*t - 10. Suppose 3*b + b + 4*f + 16 = 0, -4*b - f - 16 = 0. What is the units digit of n(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7613.731 + -7609. Let n = -0.031 + l. Let d = 5 - n. Which is the third biggest value? (a) d (b) 1\/3 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*h**2 + 26*h**2 - 238*h**3.\nAnswer: -238*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -719*s - 359*s + 12936 for s.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d**5\/4 - 105*d**4 + 4161*d**3 - 67881*d**2\/2 + 296985*d\/4 - 88725\/2 = 0. Calculate d.\nAnswer: 1, 2, 7, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -1\/101, -0.2, -2\/11, 1\/4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 84200 rounded to the nearest 10000?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/135 not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3*(-2)\/3 + 56. Suppose -11 + 43 = -f. Let z = v + f. What are the prime factors of z?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 524639 is divided by 54.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/10 - (-2)\/(-20). Let z be (-9)\/(-3)*(-4)\/30. Which is the nearest to g? (a) 0.4 (b) z (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 120 - 485. Let z = 368 + s. Let j be (-2)\/(-1)*3\/33. What is the nearest to z in -0.2, j, -5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 56*x**3\/11 - 423086*x**2\/11 - 1224440*x\/11 + 30232 = 0.\nAnswer: -22\/7, 1\/4, 7558","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 3 + (-8 - -4)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 312885 and 2970.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.3, 9\/4, 0.13, -0.5, -22, 3\/5, 1.9?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the second derivative of y**7\/840 - y**5\/60 - 23*y**3\/6 + 22*y. Let c(l) be the second derivative of t(l). Give c(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 149 = 4*k - 3*k, -5*k = -2*h + 38. Suppose t - 48 = -40. Calculate the remainder when h is divided by t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 682269, 1364554, 2046839, 2729124, 3411409, 4093694?\n\"Answer: 682285*g - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 bigger than -30241\/118?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 64 + -59. Solve l = 5*j + 15, -2*l = -4*j - x*l - 12 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (6 - (-4635)\/(-780))\/((-9)\/24). What is the closest to 1 in 0.0828, -0.1, 2, g?\nAnswer: 0.0828","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**2 + 20*p - 20. Let b be d(-21). What is the highest common factor of b and 67?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 + 0 + (6 - (2 - -2)). Suppose -k*z + 347 - 99 = 0. Calculate the remainder when z is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3808.9 and -0.4.\nAnswer: 1523.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -81\/2 and -99\/142310.\nAnswer: 142310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**3 + 22*v**2 - 20*v + 80. Let c be t(-23). Let x = -10 - -11. Suppose 2*f + x = 3. What is the highest common divisor of c and f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3533105 and 6?\nAnswer: 21198630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1651?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59*b + 4*b + 1007*b.\nAnswer: 1070*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 2*c**2 + 4*c + 3. Suppose -3*x - 5*t + 2*t - 21 = 0, 3*x + 20 = -4*t. Let z be x + 135\/18 - (-6)\/(-4). Calculate m(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**3 + 28*m - 17 - 30*m + m**3 - 3*m**3 - 11*m**2. Let h be q(-11). Solve 0 = 5*v + 2*a, 0*v + h*v + 5 = -3*a for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - 6 - 4. Suppose 0 = -h - 1, 2*y - 26 = -0*h - l*h. Let j be 8\/y*49\/70. Which is the third biggest value? (a) -3 (b) j (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*w = -2*w - 29. Let q = 0 - -0.2. What is the fourth biggest value in -3, w, 2\/7, q?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66 + 0 = 6*y. Let u be 1*(-1 + (-3 - y)). What is the tens digit of 3\/2*(-790)\/u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8085 = -618*v + 611*v. Is 21 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 3*t)*(t + 0*t + 0*t + (-2 + 0 + 1)*(-2*t - 2*t + 5*t) - 3*t + 3*t - 2*t - t - 2*t + t - 1 - 2*t + 1) + (5*t**2 - 3*t**2 + 0*t**2)*(-2 + 0 + 0).\nAnswer: 14*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2\/99, 1, 0.2, -2\/5 in ascending order.\nAnswer: -2, -2\/5, 2\/99, 0.2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rxrwnrnr. What is prob of sequence nwxr?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:35 PM and 3:50 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1818467503 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 113200122 to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (88\/(-462))\/(240\/560).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -8842, -10720, -12598?\n\"Answer: -1878*c - 6964","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/3, 9, 4.8, -5, 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6212139.\nAnswer: 3, 23, 90031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) -4 (c) 2.98 (d) 0.14 (e) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 274 is divided by 256.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the second derivative of -g**4\/2 + g**3\/3 + 3*g**2 + 91*g. Let m(p) = 1. Calculate j(b) - 6*m(b).\nAnswer: -6*b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1250\/9 - 8\/9*g**2 - 200\/9*g.\nAnswer: -2*(2*g + 25)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 39.012512 to zero decimal places.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 8688419 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 24 and -0.0045.\nAnswer: -0.108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 261, 537, 825, 1125, 1437, 1761, 2097?\n\"Answer: 6*c**2 + 258*c - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 5*z**2 - 5. Let u = -1508 + 1513. Let g(x) be the third derivative of 1\/30*x**u + 0 + 0*x + 0*x**4 - 3*x**2 - 1\/3*x**3. Give 14*g(o) - 6*i(o).\nAnswer: -2*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 141 and 429.\nAnswer: 20163","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**3 - 29*i**2 + 53*i + 29. Determine l(27).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -48082 + -74018. Does 11 divide (-1)\/(-5) - a\/125?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101000111 - -100?\nAnswer: 1101001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 326 a factor of 432968750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -40*q. Let o(c) = -c. Let h(w) = 2*b(w) - 72*o(w). Let u(k) = 2*k**2. What is h(u(g))?\nAnswer: -16*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 15 = -2*v. Suppose 4*t + 4 = -o + 30, 0 = 4*t - v*o - 38. What is the smallest common multiple of (-43)\/(-9) + 4\/18 and t?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 32.288 to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1480\/(-150960))\/(1\/(-1037)).\nAnswer: 61\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 5*n - 16 = 0. Is ((-14)\/n)\/(5\/110) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -999\/22 - -76\/11. Let z = 155\/4 + c. Factor -z*i**2 - 1\/2*i - 1\/4.\nAnswer: -(i + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 7 (b) -7\/6 (c) -3 (d) 2 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.1 + 0.1. Let v = 0.0648 + 0.3352. Sort w, v, -0.2 in descending order.\nAnswer: v, w, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 0 + 2*l - l**2 + 1 - 9*l. Suppose 96*v + 10 = 94*v, 4*n = -3*v - 11. Let o(h) = -h. Give n*f(j) - 5*o(j).\nAnswer: -j**2 - 2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r when three letters picked without replacement from vvwvvvtwvvwrwrwtrwt?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -3+-1486\nAnswer: -1489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 677867 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s - 5. Let z(l) = -l**2 - 1. Let q(r) = -j(r) + 5*z(r). Let i be q(1). What is the second biggest value in i, -3\/2, 4?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(1\/2))**(-5\/11))**(-16))**48 assuming h is positive.\nAnswer: h**(1920\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = -5*k + 26*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 14, j: 1}. What is prob of picking 2 t?\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 j, and 1 s when three letters picked without replacement from esejennjnjsjeeejs.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 10\/8*(2 - -2). Suppose 2*w + 8 = 0, 8*h - 3*w = 3*h + 7. Let a be ((-12)\/16)\/(h\/8). Is x < a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1233\/297*6 - (31 - 9234\/297)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2863?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dxl when three letters picked without replacement from {d: 3, x: 4, l: 1, s: 5, g: 5}.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -131\/156 and 7\/54.\nAnswer: 1404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**3 + 23*w**2 - 68*w + 66. Is 6 a factor of d(12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32210 to the power of 1\/2, to the nearest integer?\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 - -4. Let r(f) = a*f**3 - f + f**3 + 0*f**3. Suppose 2 = z + 3. Calculate r(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -181*n + 3839 = 64*n + 104*n for n.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqcqqqqcqcpcq. What is prob of sequence cc?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 910176 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2042987.\nAnswer: 109, 18743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 4, n: 1, h: 2, d: 9}. What is prob of sequence iin?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -7*q + 5*u + 375, 4*q + 3*u = 529. Does 13 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (491 - 9*u - 2*u**2 - 491)*(-u + 2*u + u) as w + f*u + m*u**3 + b*u**2 and give b.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7.707? (a) 1 (b) 2\/7 (c) -1 (d) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63 = 4*f + 2*h - 81, -5*f + 5*h = 0. Solve -8*k - 5*k = -f*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 11, -6 in ascending order.\nAnswer: -6, 4, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -5325\/12262?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**35\/m*m**(2\/31)\/m assuming m is positive.\nAnswer: m**(1025\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1493510*i*j - 3333318*i + 3*j wrt j.\nAnswer: -1493510*i + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 37508 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: Expand (-4*b + 4*b - b)*(16692*b + 2115*b**2 - 16692*b) + b**3 + 0 + 0.\nAnswer: -2114*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 40 by -10.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.02, 4\/153219, 1 in decreasing order.\nAnswer: 1, 0.02, 4\/153219","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 118550176?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = 2*w - 7*w. Suppose -4*t - w = -132. Calculate the remainder when t is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -2*b + 6*b - 12, -s + 5*b + 15 = 0. Suppose 10*g = s*g + 35. Solve g*i = 8 - 1 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(396) - 5*-1*sqrt(396)) + 0 + (5 + sqrt(396)*2 + sqrt(396) - sqrt(396))*-1 + 0 + -4)**2.\nAnswer: -432*sqrt(11) + 6421","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j + 15. Let k be h(-7). Suppose -4*t = -4*l + 8*l - 28, 2*l = t + k. Suppose -5*z = -t*z. Which is bigger: z or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1361771126 to the nearest integer?\nAnswer: 36902","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 + -3*2\/(-6). Is (-68)\/(-3) - p\/6 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*w - 3*w**2 + 9*w**2 - 59*w**2 + 21*w**2 + 65*w**2.\nAnswer: 33*w**2 + 6*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 7 - 14 = 0. Suppose -h*a = -5*a. Suppose x = 2*y - a*y + 14, y = -x - 1. What is the smallest common multiple of 4 and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3 - 20*v**2 - 18*v + 22. Let t be g(-19). Which is the second smallest value? (a) 5 (b) 2\/21 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4*x - 3*x + 3)*(662*x**3 + 8*x**3 + 161*x**3).\nAnswer: 831*x**4 + 1662*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19085975166 - 5*i + 19085975166.\nAnswer: -5*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*f - r - 7, 3 = -4*f - r + 20 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 95 - 20. Round y to the nearest 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w**3\/2 - 7*w**2\/2 + 7*w - 4 = 0 for w.\nAnswer: 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*l + 11 = 23*l. Let w(j) = -j**3 - 12*j**2 - 9*j + 40. Let x be w(l). Solve 2 = -19*c + x*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the third derivative of u**4\/24 - u**3\/3 + 15*u**2. Let s be v(5). Let g be (7 - 8) + s\/((-3)\/2999). Round g to the nearest 100.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20 + 23 + (14 - 3 - 1).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-14)\/4 - -3)*-10. Suppose u + 3*c - 8 = -0*u, -u + 8 = -a*c. Let k = 13 - u. List the prime factors of k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 3346?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 3 - 7)*(-3*d**4 - 5*d**4 + 3*d**4) to the form o*d**3 + h*d**4 + p*d + l*d**2 + v and give h.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r = -9*h - 2*r + 5, -r - 12 + 7 = h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 2 i when four letters picked without replacement from {i: 5, x: 7}?\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -6563101.572 to the nearest 1000000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -440792 divided by 220396\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 656 is divided by 83.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 12 - 7 - (-10 - 0). Let c(f) = -11*f**2 - f. Let j be c(1). Let b = d + j. Is 3 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of b*g**3*y + 2*b*g**3 - 7*b*g**2*y + 30*g**3*y + 9*g**3 + 890*g**2 - 5*g*y wrt g?\nAnswer: 6*b*y + 12*b + 180*y + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -61 (base 10) to base 5.\nAnswer: -221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(1872) + -3 - sqrt(1872))**2 - (-1*sqrt(637) + 4)**2)*-2.\nAnswer: -112*sqrt(13) + 1342","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 16b93c (base 16) in base 15?\nAnswer: 1e63ac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*9\/90*(-60)\/5?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzyzzzyzzy. What is prob of picking 2 y and 1 z?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1408 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.106, -0.716, -0.1, 0.5, 3 in decreasing order.\nAnswer: 3, 0.5, 0.106, -0.1, -0.716","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -14030 divided by -122?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -574\/13 - -8835\/52. Let n = -125 + h. Which is the third smallest value? (a) -4 (b) n (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 1858?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 111 and 259?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52730 = 31*n + 15902. Does 9 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -442*n + 83542. What is j(189)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (-2 + 3) - 4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5145216 and 756?\nAnswer: 324148608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 - -141?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 29734?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 1840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**3 - 3*t**2 - 2*t - 3. Let n(a) be the first derivative of -1\/3*a**3 - 1\/2*a**2 - 118 + 0*a. Calculate h(b) - 3*n(b).\nAnswer: -b**3 + b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -164463*i + 1480153. Determine h(9).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -196 + 202. Let d = 0.03 - -3.97. What is the closest to 1\/3 in j, d, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yo when two letters picked without replacement from oyym?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -13\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -650970 divided by -6?\nAnswer: 108495","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from ojkjoojdoodjooo.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p*p**(6\/7)\/p)*p*p*p**(-4)*p*p)**(-2\/7))**(2\/31) assuming p is positive.\nAnswer: p**(-4\/1519)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 143*b**4 + 188*b wrt b?\nAnswer: 1716*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -448*i + 449*i - 566. What is i rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the second derivative of 0*a**7 + 0*a**5 + 11\/28*a**8 - 4*a + 0*a**3 + 0 + 0*a**2 + 25\/12*a**4 + 0*a**6. What is the third derivative of v(u) wrt u?\nAnswer: 2640*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l**2 + 2*l + l**2 + 0*l)*(0*l**3 - 2*l**3 - l**3) + (4*l**2 - l**2 - l**2)*(-5 + 2*l**3 + 5).\nAnswer: 7*l**5 - 6*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -74, 3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/(-120))\/(2\/(-6))\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -739 - -762. Suppose -p*f + 6453 = -815. Round f to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/3)\/(-46*(-540)\/(-9315))?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -30 - -30. Solve 0*m + 4*m - 12 = -4*n, y = -3*m + n - 11 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -22.7 - -27. Let t = 5.3 - m. Let j(l) = -4*l**3 + l**2 + l. Let i be j(-1). Which is the nearest to t? (a) 2 (b) i (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 4*n + 14. Calculate the lowest common multiple of n and 18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000622 to 7 decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1741 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.4 and 137193807.\nAnswer: 137193807.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1*13\/(-13)*1*-2*2\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.13 + 1001?\nAnswer: 1001.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 308749.\nAnswer: 7, 6301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6 + -7 + 9 + -14. Let z(l) = -2*l - 15. Determine z(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + v = y + 6, -2*y = 4*v - 18. Solve 5*u + y = -2 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (-7 - -7 - -11)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -414*h = -478*h + 576 for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 - -1) + (5 - 2). Suppose 3*u + w - 5 = 0. Let i be 6\/4*(-8)\/(-6). Sort -1, i, u in ascending order.\nAnswer: -1, u, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.29 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*y**2 + 1800*y + 3580.\nAnswer: 5*(y + 2)*(y + 358)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1302 by 651.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-32)\/12 + (-5 - -18*(-6)\/(-12)).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 44*p**2. Let w(j) = 16625 - 32*j**2 - 16625. What is y(w(v))?\nAnswer: 45056*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -2*z**2. Let x(m) = -6*m**2 - 2*m. Calculate u(x(p)).\nAnswer: -72*p**4 - 48*p**3 - 8*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -9*p + 1. What is the remainder when 28 is divided by g(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3546.\nAnswer: 2, 3, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -16746*d**2. Let a(x) = -92*x. What is a(o(l))?\nAnswer: 1540632*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are 11405140 and 11405157 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4859 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 81 = -7*w. Let x be w\/6*(-8)\/3. Suppose 270 = g + 2*b - 639, -x*g - 3*b + 3641 = 0. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -306*l - 268 + 5776 for l.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**3 - 3*j**2 - j - 1. Let l be r(2). Let c(m) = -m**3 - 7*m**2 - m + 7. Is c(l) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 60*u - 783 for u.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-2\/55)\/z)\/z**(-15))\/((z**(-9\/4)*z)\/(z\/(z*z**(-21)))) assuming z is positive.\nAnswer: z**(7967\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -33100 - 2*q**3 + 107*q**2 + 4*q + 32780 + 5*q**3 wrt q?\nAnswer: 18*q + 214","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 44571 to the nearest integer?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 1 - 123*h - 34*h - 55*h.\nAnswer: -212*h - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1114 + -766. Is t a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/(-6)*(-2 - 66). Let v = 50 - p. Does 8 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 436682667?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.15 - -1.15. Is -8\/3 at least k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -2*h + 33. Let z(r) = -4*r + 72. Let o(y) = -13*i(y) + 6*z(y). Calculate o(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16969, 16966, 16963?\nAnswer: 16960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6464 and -0.2?\nAnswer: 1292.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = z - 14. Does 11 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (7\/(21\/6) + 2)\/2. Suppose k = q*d + 132, -4*k - 3*d + 508 = -d. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/117 + 1316\/910.\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 70 (base 8) to base 9.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 + 21. Suppose 0 = -5*y + 5*n - h, -4*y + 0*y - 29 = 3*n. Sort -2, 4, y in descending order.\nAnswer: 4, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**7*((t\/(t*t\/(t*t**(1\/6))))\/t*t)\/t)**(-48)\/(t*t**(2\/7)*t*t**9)**(-3\/38) assuming t is positive.\nAnswer: t**(-78499\/266)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 + (-18)\/3 + 3. Let z be 52\/(-26)*1\/l. Suppose 5*i - 4*i - 2 = 0. Which is the second biggest value? (a) -0.6 (b) z (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**2 - 11*s + 2. Let x(n) = -n**3 + 10*n**2 + 25*n - 1. Let h be x(12). Give o(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*q = 26*q + 112 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 404489\/10 + -40449. Let t = 4 - 6. What is the closest to t in 1, -1\/4, i?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 351472?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 389*f**2 + f**3 + 90*f**2 + 2*f + 786918 - 786917 as v*f**3 + p*f**2 + c*f + w and give p.\nAnswer: 479","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 29461.8 rounded to the nearest 1000?\nAnswer: 29000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a millisecond in microseconds?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(2178))\/(sqrt(54)*1).\nAnswer: -22*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 164 minutes after 11:25 AM?\nAnswer: 2:09 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 6*k + 27 = 0. Let d(l) = -2*l**3 - 3*l**2 - l - 2. Let y be d(-2). Let o = 1 + y. What is the remainder when k is divided by o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes before 9:41 PM?\nAnswer: 7:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s when three letters picked without replacement from srsrvrs?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -19 + 41. Suppose -5*q - 4*s + 12 = 0, 7 = -5*s + w. Suppose 4*t - t - 3 = q. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6161*o - 6228*o = -2412 for o.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6\/11 in 2\/17, 2\/305, -5, 4, -4?\nAnswer: 2\/305","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -204, 0.1, 3\/22, -0.04, 2 in decreasing order.\nAnswer: 2, 3\/22, 0.1, -0.04, -204","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 17908164*i + 15844439 wrt i.\nAnswer: 17908164","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 3*-7060\nAnswer: -21180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*n**2 - 8*n + 3*n + 5*n.\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.32 in 1\/3, 6, 2\/5, -11?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:58 AM and 10:25 AM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*y + 16680 = 39*y + 3*h, 3*y - 16672 = -h. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 28650243 a multiple of 1635?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -4 - 1092\nAnswer: -1096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 58222, 58103, 57906, 57631, 57278?\n\"Answer: -39*w**2 - 2*w + 58263","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(18) + 3 + -2.\nAnswer: 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2475\/400 - (7 - 0). Is d bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the second derivative of -b**7\/252 + b**6\/144 + b**5\/36 - 5*b**2\/2 + b + 19. Let w(x) be the first derivative of k(x). Find s, given that w(s) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*k**5 + 4*k**5 - 5*k**5 - 2*k**5 + 0*k**5 + 4*k**5 + 5*k + 2*k**5 - 5*k + (0*k**3 + 2*k**3 - k**3)*(3*k**2 - 2*k**2 + 0*k**2) + 0*k - k**5 + 0*k.\nAnswer: 3*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -294 or -10?\nAnswer: -294","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:57 PM and 4:39 AM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1031 is divided by 358?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 25 = -47. Let k be 5*(0 - f\/15). Suppose 2*n = k + 6. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + -9 - (-35 + 16)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 102853 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven fifths of a millennium in years?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1045.3256 rounded to the nearest ten?\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -6589 - -3?\nAnswer: -6586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -103945 <= -103906?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15330 + -157.387909.\nAnswer: 15172.612091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/1330 and 2\/95.\nAnswer: 1330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**3. Let y(x) = -7*x**3 + 1. Let n(d) = 24*a(d) - 3*y(d). Let z(g) = -4*g**3 - 3. What is -5*n(l) + 4*z(l)?\nAnswer: -l**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.7 in 1, 23, 3\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (6 + -14 + 7 - 4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, -3\/5, -2\/27, 4.\nAnswer: -2, -3\/5, -2\/27, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-1 + sqrt(200))*3 + 0)**2.\nAnswer: -720*sqrt(2) + 7236","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 5578348 divided by 42\nAnswer: 2789174\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the second derivative of x**4\/12 - 5*x**3\/6 - 5*x**2\/2 + 10*x. Let w be a(5). What is the closest to 2 in w, 0.5, -3\/4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from {z: 3, l: 4}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -u**5 + 16*u**3 + 38*u**2 + 33*u + 10 = 0.\nAnswer: -2, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.95112 + 0.04888. Suppose 86 = -3*o + 119. What is the closest to -0.1 in o, z, -3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.7 (b) 1 (c) 2\/7 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3783718258 a multiple of 98?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the second derivative of -11*o**3\/3 - o**2 + 21*o + 15. Let i(g) = 11*g + 1. Determine 5*i(w) + 2*u(w).\nAnswer: 11*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 9\/((-180)\/(-40)*4\/6). Solve -2*q = 2*s + 14, s + 19 = -7*q + g*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r - 61 = 44. List the prime factors of (-816)\/r + (-12)\/(-20).\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence blzz when four letters picked without replacement from zbczeel.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 962.0364 millilitres?\nAnswer: 0.9620364","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 divided by -796.\nAnswer: 17\/796","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 3*j**2 + 24*j - 19. Let m = 266 + -254. Is y(m) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10221010102 + -11?\nAnswer: -10221010120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15127.\nAnswer: 7, 2161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -0.5, -2, -0.23?\nAnswer: -0.23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.1 (b) -0.1 (c) 0.37\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1399, -2944, -4487, -6028, -7567, -9104?\nAnswer: -10639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t + 6. Let f be s(0). Let i(u) be the first derivative of 8 - 2*u**2 - u + 1\/3*u**3. Give i(f).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0\/(2\/(-1 - -2)). Suppose n = -3*s + s + 440000. Round s to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -245033273, -245033276, -245033279, -245033282, -245033285, -245033288?\n\"Answer: -3*d - 245033270","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 + 304423?\nAnswer: 304415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*a**3 - 7*a**3 + 6*a**3 - 9*a**3 + 0*a**3.\nAnswer: 14*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*u - 147 = -15*u - 16*u. Calculate the remainder when 698 is divided by u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (7 + 12 - 11)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 66491240, 66491238, 66491236, 66491234, 66491232?\nAnswer: 66491230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0*(10 + -20 + 11). Let w(z) be the second derivative of -1\/84*z**4 + 1\/14*z**3 - 16*z + 0*z**2 + m. Suppose w(x) = 0. What is x?\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.054, 0, -1\/10 in ascending order.\nAnswer: -1\/10, -0.054, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 81832?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*r - 12*r + 25*r.\nAnswer: -4*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2990 is divided by 230.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11773?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 + 0)*(-g**3 - 5*g**3 - 2*g**3 + 2*g**2 + g**3 - 2*g**2 + (-2*g + 4*g + 0*g)*(3 - 3 - 2*g**2)).\nAnswer: -11*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-34)\/(-9) - (-2)\/9. Suppose 4*i - 105 = 55. Suppose 0 = 3*d - 12, g*c = -0*d - 2*d + i. Solve 4 = -c*j + 4*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -1112*y - 65605. Determine k(-59).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 299 - 306. Calculate the common denominator of -55\/9 and (-2)\/l - 1329\/315.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 1437*v - 2 - 356*v - 353*v - 359*v - 357*v. Let d(h) = 48*h**2. Calculate d(c(f)).\nAnswer: 6912*f**2 - 2304*f + 192","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7074725 and 4725.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 20448\/7 + -20442\/7. Calculate the common denominator of 31\/2767 and u.\nAnswer: 19369","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.10349 - 0.0225805. Let l = 0.126 + u. Round l to 5 dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -20 + 40. Suppose -14 = q - z. Let s(n) = -2*n**2 + 7*n + 2. Give s(q).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*j - 5*j = -600. Let t be (j\/3)\/((-14)\/21 - -1). Calculate the greatest common factor of 140 and t.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 443736?\nAnswer: 2, 3, 6163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -45*z**3 - 121*z**2 - 74*z - 24. Let y(l) = -11*l**3 - 30*l**2 - 19*l - 6. Let q(r) = -6*p(r) + 26*y(r). Factor q(i).\nAnswer: -2*(i + 1)*(i + 2)*(8*i + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**3 + 4*l**2 + l - 4. Let s be x(-3). Let g be s\/(-4) + 4\/4. Let y = 1.09 - 0.09. What is the nearest to g in y, -2\/7, 5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67*x + 58*x**3 + 5*x**2 - 5*x**2 + x.\nAnswer: 58*x**3 + 68*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r + 8. Let a be x(6). Let y = a + -1. Let n(l) = 4*l**3 + 2*l - 1. What is n(y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 203 = 5*i - 162. Let p be 1*(-2)\/((-2)\/i). Suppose -t + 1 = 0, t + 28 = -4*v + p. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 2 w when three letters picked without replacement from {l: 2, q: 1, s: 1, i: 1, w: 2, m: 1}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15\/28 - -1\/4. Let f = 0.93 - 0.83. What is the third smallest value in f, m, -9?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the second derivative of b**4\/2 + b**3\/3 + b**2\/2 + 2*b. Let y be x(-1). What is the highest common factor of 2 and y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-18 - -15)\/((-6)\/4). Find l such that 11*l**c + 0 - 3 + 6*l**2 - 14*l**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((0 - 3 + 1)*(-3 - m + 3) - 2*m + 3*m + 0*m)*(-12 - 2 + 6) to the form r + u*m and give u.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -4*m. Let z(o) = -4*o + 1. Determine -3*g(y) + 4*z(y).\nAnswer: -4*y + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102*o - 9353960 + 2699784 = -266*o. Calculate the remainder when o is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dh when two letters picked without replacement from {d: 1, h: 1, f: 1, t: 1, b: 4}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.76794 to two decimal places.\nAnswer: 3.77","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -76 + 75. What is the biggest value in -0.3, i, 5\/22?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -9 + 27. What is the greatest common divisor of l and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 584 = -26*o + 64. Calculate the common denominator of o and 125\/1752.\nAnswer: 1752","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 3*b**5\/5 - 2967033*b**4\/5 + 733632287841*b**3\/5 - 12471010111839*b**2\/5 + 5868476773296*b + 44014910941620 = 0.\nAnswer: -3, 10, 494497","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 325.2 - 325. Which is the biggest value? (a) 2\/3 (b) 0.4 (c) r (d) -0.11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 331, 674, 1017, 1360, 1703, 2046?\nAnswer: 2389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*v**3 - 2*v**4 - 19*v + 41*v - 23*v + 3 to x*v + w*v**4 + j*v**3 + i*v**2 + g and give j.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10492?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3720, -8397, -13074?\nAnswer: -17751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 45 + -42. Let f = 1.782 - 1.682. Which is the nearest to f? (a) v (b) -0.6 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -231 divided by 21?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**3 - 12*b**2 - b + 11. Let n be w(12). Let i be 1 - ((n - -3) + -4). Suppose 132 = i*p - 213. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1445*i - 431*i = 40795 - 235 for i.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 - -79?\nAnswer: 7d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 65*x. Let c(v) = -11*v**2. Give c(p(g)).\nAnswer: -46475*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n + 10. Let q be w(-5). Suppose -5*i + m = -18, -30 = -q*i + 4*m + m. Suppose 0*r - 2\/5*r**2 + 0 - 4\/5*r**i - 2\/5*r**4 = 0. Calculate r.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -68*p - 6. Let v(h) = 34*h + 2. What is -2*l(w) - 5*v(w)?\nAnswer: -34*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**3 + 8*d**2 - 4*d + 1. Calculate the remainder when p(3) is divided by 8 - 2478\/315 - (-624)\/45.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 49.65043 decades to months.\nAnswer: 5958.0516","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -23.787 to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*n + 0*n - 74316 = 0. Let x be n\/108 - -1 - (-2)\/9. Which is bigger: x or 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -2*n. Let h(p) = 2*p**2 - 3*p. Calculate k(h(y)).\nAnswer: -4*y**2 + 6*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x = -15*x - 10*x - 270 for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/2658 and -5\/4873.\nAnswer: 29238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -386 and -1716?\nAnswer: 662376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 431 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 30723?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10898952.\nAnswer: 2, 3, 43, 59, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -687*-2316.\nAnswer: 1591092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 7*t**2 + 32*t + 379. Is q(35) a multiple of 73?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1170)\/(-7)*(-1)\/((-7)\/49)?\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -165*i + 158*i + 14 = 0. Solve 5*u - 3*b + 4*b = -4, -i*u + b = -4 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3391?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 15*w**2 + 63*w + 67. Let f(x) = 7*x**2 + 31*x + 33. Let g(c) = -13*f(c) + 6*p(c). What is the units digit of g(-11)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17 - 12. Let h = -25.1 + 26. Let v = -62 - -62. Sort h, v, k in decreasing order.\nAnswer: k, h, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**3 - 18*b**2 + 17*b - 124. Give c(13).\nAnswer: -748","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01728805 rounded to two decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 122144700 rounded to the nearest 1000000?\nAnswer: 122000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 8*c - 11*c + 15 = 0, 3*w - 4*c + 20 = 0. Let k(n) = n. Let q be k(2). Suppose -4*z - 4*u - u + 60 = w, -4*u = q*z - 24. Solve -z = 5*i - 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/5, 0.07, 2\/5, -2, -174?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(35))\/sqrt(5) + -5 - 1*2*sqrt(175).\nAnswer: -11*sqrt(7) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 550781 to the nearest integer?\nAnswer: 742","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - 0 - (33\/(-12))\/(91\/28)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from srrsrrsrsssssrrrrrrs?\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15614 by 4.\nAnswer: 7807\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/2 or 170\/19?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -572332.8376 to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 17) + 1 - 3?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 1002260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f = -4*a + 94, -47*a + 52*a - 68 = -19*f for a.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 380013217 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (63 - (69 - 52)) + (-13 - 0).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:45 AM and 3:39 PM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 8*s - 7*s - 12, -s + 4*w = -22. Which is the third smallest value? (a) s (b) -0.2 (c) 2\/5 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 5*k + 13 = 0, 2*s + 9*k = 5*k + 26. Suppose -s*v + 35 = 14. Solve -2 = j + v for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 195 + -194. Let y be 702\/(-286) - j*-3. Suppose -4*x + 10 = a, 2 = 5*a - 4*x - 0. Which is smaller: a or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 6 = 6*g. Let n = 1 + -13. Let s = n + 35. Solve -g*k = -9, 0*k = 4*r + k - s for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 + 10.5. Let f be (-3)\/63 - (-2)\/6. Let s = -0.004 - -0.204. Which is the third biggest value? (a) f (b) y (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/14)\/(130\/85995*63)*(-49)\/(-7)?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 - (-11 - -4)) + 12 - 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 35 + -2. Suppose u = -3*p + 51. Solve -9 - p = 5*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*u - 975024 + 3*u**2 - 3*u**3 + 2*u**4 - u + 975039 to m*u + b + f*u**2 + n*u**4 + l*u**3 and give b.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**2 + 2*t + 3. Let q(l) be the first derivative of l**3\/3 + 8*l**2 - 21*l + 58. Let m be q(-17). Determine u(m).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -3*b**3 + 5*b + 6. Let a(z) = -1. Let s(r) = -6*a(r) - o(r). What is the second derivative of s(w) wrt w?\nAnswer: 18*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 - 13. Calculate the common denominator of (14\/(-30))\/(j - (-1320)\/325) and -109\/20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2\/5 - 675143*n\/5 - 675142\/5.\nAnswer: -(n + 1)*(n + 675142)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 + 1. Suppose 0*v - 9 = 3*v. Let q(i) = -2*i**3 - i - 2. What is v*x(n) - q(n)?\nAnswer: -n**3 + n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -171 - -128 - ((3 - 0) + -4)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**2 + 24. What is the lowest common multiple of z(0) and 18?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -m**4 - m**4 + m**4 + (-4*m - 11*m - 7*m)*(-2*m**3 - m + m) - 10*m**4 - 13*m**4 + 9*m**4.\nAnswer: 29*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -194? (a) -2 (b) -0.5 (c) 3\/5 (d) -0.111 (e) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 3 + -2 + -2\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, z: 2, t: 5, c: 3, u: 1}. What is prob of sequence uyz?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, -0.4, 0, -2\/25?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 240*b + m = 237*b - 4, -4*m - 16 = b. Which is bigger: -1\/826 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 191\/3276 and -5\/4576?\nAnswer: 288288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) 21 (c) 3\/8 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(19 + -11) - 675\/(-84).\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -5*r + 147, -3*i = 2*r + 143 - 636. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4375*r**3 + 203950*r**2 + 49137*r + 2952.\nAnswer: -(7*r - 328)*(25*r + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-11)\/(-22) - (-4 + 4). Sort 0, a, -0.3, 5 in descending order.\nAnswer: 5, a, 0, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 7, w: 6}. What is prob of picking 4 s?\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 23548146?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 154*c**4\/3 + 9706*c**3\/3 - 6538*c**2 + 9494*c\/3 + 260\/3 = 0.\nAnswer: -65, -2\/77, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-1\/21)*x*x**(-16)\/x assuming x is positive.\nAnswer: x**(-337\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*d**3*f*j - 103*d**3*f*v**2 - 5984*d**3*j*v + 24*d*f*v + f*j*v + 2*f*v**2 - 570*j*v**2 wrt v.\nAnswer: -206*d**3*f + 4*f - 1140*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 87208, 87188, 87168, 87148, 87128, 87108?\n\"Answer: -20*v + 87228","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11733 + 5879 + 5854 - 8*r**2 + 22*r**2.\nAnswer: 14*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 7792.8768s in hours?\nAnswer: 2.164688","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 2*k**2 - 48*k + 126 = 0.\nAnswer: 3, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 12\/((-2448)\/(-58)) - 6\/51. Which is the third biggest value? (a) s (b) 10 (c) -2 (d) 0 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -357 = a - 6*z + 9*z, -3*a + 3*z = 1047. Let y = 340 + a. Let k(i) = 8*i**2 + 9*i - 7. Let b(g) = -4*g**2 - 5*g + 4. Determine y*b(l) - 6*k(l).\nAnswer: -4*l**2 + l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + -1 - (8 + 7) - (0 + -7).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 5, x: 5, e: 1, r: 1, t: 1, a: 1}. Give prob of sequence mr.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 20314575 divided by -238995?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-36 - -36)*(-4 - -2)\/((-14)\/(-7))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -2*n - 14. Let y(k) be the first derivative of -k**4\/4 + 2*k**3 - 6*k**2 + 8*k - 6. Let j be y(4). Let p be h(j). Solve 12 = -x - p*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1202 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 20314856 to the power of 1\/2, to the nearest integer?\nAnswer: 4507","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 2 - s + 3 + 4. Let w be n(4). Suppose -w*a + a = 0. Which is smaller: 12 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.238 - -0.038. Let r = 1 - 0. What is the biggest value in -5\/4, l, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**2 - 37*v.\nAnswer: v*(v - 37)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -22\/47? (a) 0.4 (b) -0.248 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/25 (b) 0.027 (c) 289\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 88164 by 21.\nAnswer: 29388\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*w - 20*w + 2 + 5*w.\nAnswer: -19*w + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13 - -3 - 5) + (1 - -3) - -9.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**3 + 9*s**2 + 9*s + 13. Let f be p(6). Suppose f = -18*m + 229. Let w = 2 + 0. Solve 0 = -m*z - 4*v + 9, -4 = -2*z - 0*v - w*v for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*y + 910 = 1508 - 1228. Calculate the highest common divisor of y and 1988.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - (-20)\/(-6))\/(551\/(119016\/(-288)))?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 - (0 - (1 + -3)). Let l be 0 + ((-3)\/(-21))\/1. Which is smaller: d or l?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 11*g**2 - 3*g + 3. Let y be h(2). Let o = y - -5. Find the common denominator of -59\/5 and o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 47901 to the nearest integer?\nAnswer: 219","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 - 9. Let z = 12932 - 12936. What is the closest to -1\/5 in z, 0.3, m?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the second derivative of h**4\/60 + 7*h**3\/15 + 49*h**2\/10 - 24*h. Factor c(s).\nAnswer: (s + 7)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81 less than or equal to -48\/173?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-35 - -35) + (-3 + 0 - -2) + -1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 12 + 6 = 2*c, 4*c - 22 = 3*t. Solve -2*u = 2*l - 14, 4*u - c = -l + 12 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**3 - 37*x**2 + 42*x + 156. Let z be r(-38). Suppose 262 = z*m + 66. Is m a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l**2 - 5*l**2 + 3*l**2)*(2*l**3 + 1 - 1) + (2*l**2 + 0*l**2 + 4*l**2)*(-1 - 1 + 3)*(-15*l + 15*l + 3*l**3).\nAnswer: 20*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -25928 divided by 5\nAnswer: -25928\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 4*a + 13 = 6*a, -a = -3*r + 11. Suppose 4*p = -y + 96, p - r*y - 120 = -4*p. What is the lowest common multiple of 33 and p?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*n + 4*t - 28, -18*n + 4 = -14*n - 2*t for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and 64.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -5*q + 22 + 4, -3*b = 3*q - 18. Suppose q*o - 21 = -4*n, n - 4*o = 3*n - 12. Suppose -a = n*a - 30. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 - 5 + 8)*(6*m + 739 - 739 + 0*m - m + 2*m + 4*m - 6*m + m + (-2*m - 3 + 3)*(-4 - 3 + 6) - m - 2 + 2) + m - m + 2*m.\nAnswer: -26*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the third derivative of -w**7\/70 + w**6\/40 + w**5\/10 - 5*w**2. Solve j(u) = 0 for u.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, -134692, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kukukvvk. Give prob of sequence kkkk.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-1)\/4)\/((-171)\/(-72) - 3). Factor 0*r**2 + 0 - 2\/5*r + d*r**3.\nAnswer: 2*r*(r - 1)*(r + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 148 - 145. Solve -r = 1 + i, 24 = -4*x - 4*r for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 685184057 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.7248357 + -18.7247667. Let n = -17 - a. Round n to five dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27, 68, 133, 222, 335, 472?\nAnswer: 633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 75\/44 and -33\/32.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 - -51703?\nAnswer: 51705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 34, 0 in increasing order.\nAnswer: -4, 0, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**3 - 2*k**2 + 23*k - 2. Calculate o(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-6\/5)*r**1*(r\/r**(-2))**(-32)*((r**(2\/5)\/r)\/r**(1\/10))\/((r*r\/r**4)\/((r\/(r**(1\/2)*r))\/r*r*r)) assuming r is positive.\nAnswer: r**(-472\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hvhvhhhhvhvvv. Give prob of picking 3 v and 1 h.\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 620 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence seee when four letters picked without replacement from seebspbebse?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 43 = -3*t - 0*q, 0 = -4*q + 16. Suppose 29 = -2*f - t. Let k = f - -56. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11261340 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23464 is divided by 1601?\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(3) - ((3 + sqrt(3) - sqrt(3)) + -4)))**2.\nAnswer: 2*sqrt(3) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b + 13*b + 3*b - 9*b - 10*b.\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -59 at most as big as -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 104 + -102. Find the third derivative of -42*y**q - 39*y**4 - 147*y**3 + 147*y**3 wrt y.\nAnswer: -936*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1525\/36 - 370\/9. What is the closest to -6\/11 in g, -1, -3, 0.09?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -3*s + 8, 5*s - z + 3*z = 12. Let n = 1 - 1. Suppose 4*r = -n*r. Solve r = 2*m - s*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the first derivative of r**4\/4 + 3*r**3 - 13*r**2\/2 - 2*r - 10. Suppose 0 = -2*g + 100 + 66. Calculate the remainder when g is divided by p(-10).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 231, 335, 439, 549, 671, 811, 975, 1169?\n\"Answer: y**3 - 6*y**2 + 115*y + 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 256806, 513590, 770386, 1027200, 1284038?\nAnswer: 1540906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes before 6:51 AM?\nAnswer: 11:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**2 + 25*s - 11. Let f be r(0). Let i(q) = -q**3 - 12*q**2 - 10*q + 5. Give i(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 - 8. Let o = -3.5 - k. Suppose -12 = -2*w - 8*n + 3*n, 11 = 5*w + 3*n. What is the closest to 0.1 in w, 3, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -21052*y + 21052*y + 274*y**4 + (-4*y**2 - 3*y**3 + 4*y**2)*(33 + 19*y - 33).\nAnswer: 217*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes before 5:10 PM?\nAnswer: 1:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 45 + 69 = 0. Let h(o) be the second derivative of -3*o**6 + 0 + 9\/5*o**5 + 0*o**2 + 25\/14*o**7 + 0*o**3 - 2\/5*o**4 - y*o. Factor h(t).\nAnswer: 3*t**2*(5*t - 2)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 169111 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*u - 19 = -55 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the second derivative of a**3\/6 + a. Let u = -4 - -6. What is x(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 3*v**2 + 3*v. Let l be a(2). Suppose 13*f - l*f = -2095. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -29 - -162. Is r != 134?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -28 and -788642.\nAnswer: -788670","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**3 - i**2 - 2*i + 58. Determine w(0).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -7 + 1. Solve -s = -3*s - b for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6 or 5962\/937?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.4 (b) -3 (c) 3 (d) 0.0616 (e) 157\/2 (f) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 103 is divided by 41?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 2*v + 10, k - 17 = -k - 3*v. Suppose -l = -5*g - k*l + 191, -4*g = 2*l - 154. Let u = -25 + g. Calculate the remainder when 28 is divided by u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-9)\/(-243)*-69 - 6. Which is smaller: -8 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v + 2. Let j(b) = -b**3 - 24*b**2 - 21*b + 57. Let s be j(-23). Let o = 48 - -12. Suppose s*f - o = -f. Give t(f).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + -63 + 3 + (13 - (-30 + 28))\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -4 + (((sqrt(153) - (sqrt(153) + (sqrt(153) - (sqrt(153) - (-1*sqrt(153) - sqrt(153) - sqrt(153))))))*-5)\/sqrt(9)*5)**2.\nAnswer: 95625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*(y*y\/(y*y**(-5)))\/y)**(-38)\/(y**6*((y**(5\/11)\/y)\/y)\/y) assuming y is positive.\nAnswer: y**(-2546\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11)\/((-99)\/18)*2\/(-4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*f + 13 = -179 + 12. Let s = -35 - -19. Suppose q - 3 = 1. Which is the second biggest value? (a) s (b) q (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 62*c**2 + 128*c - 1542. Is 13 a factor of r(14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*g**2 + 22*g**2 + 24*g**2.\nAnswer: 5*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -322587 < -322589?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-85*q + 85*q - 8*q**2)*(1 - 2 + 0) + 0 + 2*q**2 + 0)*(-5*q**3 + 3*q**3 + 0*q**3).\nAnswer: -20*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 + 4 + (-1 - -2). Let i = -1 + 2. Let b(m) = m**3 - 3*m**2 + 2*m - 2. Let t be b(3). Solve t*h + i = -y for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*l - 11. Sort l, -3, -26 in ascending order.\nAnswer: -26, l, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 874831082?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 102*t - t + 79*t + 133*t.\nAnswer: 313*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-42))\/((24640\/(-98))\/(-88))\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15300 + 13635. Are q and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 + k**2 - 1. Let h be j(1). Let x be (-2)\/(-1) - (h - -2). Is x\/(-3 - (-1264)\/422) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*a*b*i + 3*a*b - 36283*a*i + 47*a + 29*b*i - 2239144*b wrt a.\nAnswer: -3*b*i + 3*b - 36283*i + 47","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -7*b - 6. Suppose -g = -3*g. Let f = 11 - g. Let z(y) = f + 10*y + 6*y - 11*y + 8*y. Determine -11*v(x) - 6*z(x).\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -1 + 16677 - (-2 + -1*(-11 + 14)).\nAnswer: 7, 2383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, r: 12}. What is prob of sequence prr?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 + -36115?\nAnswer: -36120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 34\/6 - (-13)\/(-39)*-1. Calculate the highest common divisor of 501 and y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 60 + -e5749?\nAnswer: -e56e9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zsstzzzpzttz. What is prob of picking 3 z?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.3 + 0.46. Let i = 0.12 - b. What is i rounded to 1 dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 - k**2 - 3*k - 3. Let q be 6\/(-4) - (-1)\/(-2). Does 7 divide g(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*m - m**2 + 4*m)*(1 - 1 + m**3) + 15294*m**5 + 20*m**4 - 2867*m**5 - 14*m**4 - 6*m**4.\nAnswer: 12426*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 12270707 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53051 is divided by 655.\nAnswer: 651","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*w = 44*w - 48. What is the least common multiple of 136 and w?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20720000 rounded to the nearest one million?\nAnswer: 21000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -100634568*d**3 + 33056430?\nAnswer: -301903704*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 4*t = 20, -2*d - 3*t = -3*d - 15. Suppose -5*b = -d*b - 50. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 82*b**2 - 8*b + 2 wrt b.\nAnswer: 164","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -86, -338, -758, -1346, -2102, -3026?\n\"Answer: -84*t**2 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 538, 1078, 1618, 2158?\nAnswer: 2698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -4 - (4\/(-22) - (-450)\/55). Let c be (-569)\/(-104) + r\/(-78). Let o = c - 503\/88. Calculate the common denominator of -38\/17 and o.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8187908 at least -8187908?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xcxxxfcbccxxxf. Give prob of picking 1 c and 2 x.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 21, 12, -33, -132, -303, -564?\n\"Answer: -3*o**3 + 12*o + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 3*y - 2*y + 4*i, -2*y - 2*i - 2 = 0. What is the highest common factor of y and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, l: 4, z: 9, h: 2}. Give prob of sequence bl.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 + 8. Let h(a) = -a**2 + a + 3000. Let l be h(0). Suppose 0*x - l = w*x. What is x rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16697 + -10963. List the prime factors of l.\nAnswer: 2, 47, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m\/m**(1\/3)*m*m)\/m)**(-8\/9)\/(m*m*m**0)**41 assuming m is positive.\nAnswer: m**(-2278\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*o + 8 - 5 - 3.\nAnswer: 39*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, 1\/606, -3, 0.5, -4 in increasing order.\nAnswer: -4, -3, -1\/3, 1\/606, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1096 + -1100.68. Are m and -5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9\/29, 20, 0.3, -4\/17.\nAnswer: -9\/29, -4\/17, 0.3, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Do -10 and 46 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5867952719 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-50)\/6)\/(-1)*3798\/6330?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5025303 a multiple of 111?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*p + 0*p - 5*p)*(8*p**3 - 9*p**3 + 55*p**4 + 2*p**3).\nAnswer: -55*p**5 - p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -2*j**2 + 30*j - 76. Let g be t(12). Let l be (-4)\/6*3\/(-11). Which is the second biggest value? (a) -1 (b) g (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 - 16 + 18)*(-20 + 6 - 2*b + 12) + (2 - 6 + 5)*(0*b + 0*b - 2*b).\nAnswer: 12*b + 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 + -b2?\nAnswer: -b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 421?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13632 and 2388724?\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 68.46 + -8.82.\nAnswer: 59.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -19742*k + 3948411. Determine v(200).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 14140577 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 4*d. Let u(b) be the second derivative of b**4\/12 - 4*b. Give y(u(t)).\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7319979 is divided by 1045707?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.2 and 0.1073542.\nAnswer: -0.12882504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-13))\/(516\/1118).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -138, -135, -132, -129?\n\"Answer: 3*q - 141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10? (a) 21 (b) -0.5 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18422 is divided by 286?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 16528 a multiple of 156?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 67\/30 - 78\/35. Let a(b) be the third derivative of 1\/120*b**6 + 0 - 1\/24*b**4 - 1\/60*b**5 + 0*b**3 + b**2 + 0*b + m*b**7. Factor a(l).\nAnswer: l*(l - 1)*(l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the third derivative of 0*o**3 + 0*o**4 - 67\/105*o**7 + 0 + 0*o**6 - 3*o**2 + 1\/4*o**5 - 2*o. Find the third derivative of b(z) wrt z.\nAnswer: -3216*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2*993\/(-6) - -2. Suppose -19*t - 1111 = a. Is t smaller than -76?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 17*b + 25*b - 14*b. Let a(s) = -3*s**2. What is w(a(y))?\nAnswer: -84*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*k*r**2*v + 9*k*r**2 - k*v + 7*r**2*v**3 + 3*r*v**2 + 39*v**3 wrt r?\nAnswer: -10*k*v + 18*k + 14*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 84 + -56. What are the prime factors of w?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19503 + -19476. Let n = 47 - 18. Solve -p = 3*w - 3*t, 3*w - n = 4*w - 5*t for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lls when three letters picked without replacement from sssssssssssllsslss?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 95841850 and 5200.\nAnswer: 766734800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 168192 and 10496?\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/((b\/b**0)\/b))**(7\/6)*((b*b**8\/b)\/b)\/b**(-1\/2))**7 assuming b is positive.\nAnswer: b**(182\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Total of -267.5189403 and -0.09.\nAnswer: -267.6089403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 7\/3, -0.4, -2, 2\/11?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 - -8. Let y = s + -1. Suppose -3*b = 2*b. Solve -20 = -y*l - b for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -115*s - 30*s - 133*s.\nAnswer: -278*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 915886 + -915979. Let y be -4*-1*1\/1. Put -4, y, z in increasing order.\nAnswer: z, -4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67979 is divided by 473?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.01, 8, -6, 2, 38\/9, 1\/4, 1 in increasing order.\nAnswer: -6, -1.01, 1\/4, 1, 2, 38\/9, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**2 - 13*k + 8. Calculate the remainder when 46 is divided by o(-13).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14170 <= -217?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l - 3, 3*y = -5*l - 1 + 8. Suppose -y*d - 37120 = -4*f + 1676, 0 = -3*d - 5*f - 29105. Round d to the nearest 1000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**3 + 5*o**2 + o + 7. Let p be y(-5). Suppose 419 = 3*c - 1. Suppose -p*d = 2*d - c. 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: Solve -2*x = -3*x - 4*v - 10, -5*x + 2*v = 6 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 7, v: 1, d: 3, u: 1}. What is prob of picking 1 v and 2 d?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1.34, -2\/21 in increasing order.\nAnswer: -1.34, -2\/21, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.21 + -1.01. What is the closest to -2\/7 in 2, c, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2\/9*o**2 - 14\/9*o + 0 = 0. What is o?\nAnswer: 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -18*c + 24. What are the prime factors of w(-4)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**2 - 13*p - 34. Let h be t(-7). Solve -o - h = -5 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 9*d**2. Let c(y) be the third derivative of -y**5\/20 - 49*y**2. Determine m(c(u)).\nAnswer: 81*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 6.4, -1\/6, -356, 6, 3, 1.5 in descending order.\nAnswer: 6.4, 6, 3, 1.5, -1\/6, -356","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-33)\/(-5))\/((-9270)\/2575)?\nAnswer: -11\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41719 divided by 2?\nAnswer: 41719\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a and 1 b when four letters picked without replacement from {b: 2, a: 3, w: 1, d: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3 - ((1 - 3) + -138). Suppose -3*b + j + h = 0, -b + 0*j + 5*j = -41. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = 5*g + 4*l + 8, -4*l - 16 = 3*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 21*304\/24 - -3. What is the third derivative of -543*r**3 + u*r**3 + 271*r**3 - 30*r**5 - 266*r**2 wrt r?\nAnswer: -1800*r**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.32 - 1.38. Let o = -1.3 + x. Let t = 68 + -477\/7. Sort t, o, -0.5.\nAnswer: o, -0.5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6170 - -6258 - (-1 - -40)?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69407464.\nAnswer: 2, 7, 17, 72907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*a - 14672 = -175*a. What is the least common multiple of 210 and a?\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 5, 1, 6305 in descending order.\nAnswer: 6305, 5, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3838680?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 76, 0, -17, 241 in increasing order.\nAnswer: -17, 0, 76, 241","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + p + 1)*(12870 + 236*p**2 - 12870)*(-58*p + 21*p - 22*p).\nAnswer: -13924*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3 - ((-9762)\/4218 - -8). Let u be (8\/(-190))\/(12\/(-750)). Let j = o + u. Which is bigger: j or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:48 PM and 1:30 PM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 175*n**2 - 238*n - 24. What are the prime factors of a(-9)?\nAnswer: 3, 5431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4710 by 2.\nAnswer: -2355","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - q - 4*q + 1685 = 0, 0 = 2*d - 2*q - 694. Suppose d = -p + 17. Let t = p - -465. Does 28 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ykp. What is prob of picking 1 k and 1 y?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15 - 6. Suppose z = -f + p + 2*p, -24 = -4*f - 3*p. Suppose -2*r + 14 = f*u + 2*r, -2*u = -4*r - 36. Solve 0*d + 6 = -2*i + d, 4*d - u = i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/3 (b) 0 (c) -360 (d) 3 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f - 3. Let j be d(-3). Let o(q) = -8*q - 9. Let r(u) = -u - 1. Let y(g) = 2*o(g) - 14*r(g). Let z be y(-3). Put z, j, 5 in increasing order.\nAnswer: j, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3848488 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 270*o - 263*o - 63 = 0. Suppose -m - 633 = o*r - 10*r, 2*m = 0. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 5) to base 14.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 16068 at least -2\/27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 6 (b) 4 (c) -0.34 (d) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*((-8)\/2232*-3)\/(1*-1)?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4221 is divided by 51?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 2 + 0)*(0 + 0 + 1) + 28 + 25 - 5)*(5*m - 5*m + 31*m**3).\nAnswer: 1519*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**9\/p*p**(3\/5))\/(p*p\/(p\/(p\/(p\/(p\/p**7)))*p)*p\/(p*p\/(p\/((p**15*p*p)\/p)))) assuming p is positive.\nAnswer: p**(158\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 515307*r - 515339*r - 4092 + 284 = 0 for r.\nAnswer: -119","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 102110210102 (base 3) in base 16?\nAnswer: 3722f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = -5*u + 24. Which is smaller: u or 2\/335?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 7 = 5*j. Suppose 2*g = j*g - 3. Suppose -5*z + 6 + 14 = 0. Which is greater: g or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -5*x. Let k(y) = 6384*y**2. What is g(k(u))?\nAnswer: -31920*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**2 + 13*h + 13. Let r be c(14). Sort -5, r, 3.\nAnswer: -5, r, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3167 divided by -539.\nAnswer: -3167\/539","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzfdf. Give prob of sequence ffz.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -76 + 46. Let n be 966\/20 + l\/20. Let q = 47 - n. Sort 0, q, 4 in descending order.\nAnswer: 4, q, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3551024 and 3800?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-56))\/((-7)\/35 - (-55)\/(-100))?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -338*v**3 + 53*v**3 - 75*v**3 - 5*v**4 + 1500*v**2 - 1520*v = 0.\nAnswer: -76, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -8751086500563 and 1.\nAnswer: -8751086500562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the second derivative of -i**6\/120 - 3*i**5\/10 - 23*i**4\/48 - 4*i - 55. Factor d(y).\nAnswer: -y**2*(y + 1)*(y + 23)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -3*y**2. Let i(z) = 4 - 679*z - 4 + 689*z. Determine i(j(f)).\nAnswer: -30*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2778034?\nAnswer: 2, 7, 31, 37, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -445625, -1782631, -4010975, -7130657?\nAnswer: -11141677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(102)*1*1 + sqrt(102) + (sqrt(102) - sqrt(102)*-2*6))\/(2*-5*sqrt(864)).\nAnswer: -sqrt(17)\/8 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**3 - 2*l**2 - 4*l + 6. Let n(j) = j**3 + 4*j**2 + 2*j + 2. Let q be n(-4). Let w be i(q). Suppose 4*c - w = c. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.2 (b) 4 (c) -2\/207 (d) 2\/133\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 5*u = 17, 5*a + 5*u - 118 = a. Find the second derivative of 4 - 18*m**4 + 28*m**4 + a*m - 2 wrt m.\nAnswer: 120*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(-90))\/(2\/5)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 0, 3\/7, 2\/3, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 326330 to the nearest 10000.\nAnswer: 330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1484a11 - 3?\nAnswer: -1484a14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 20560 - -3877. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 2*b**3 - 5*b**2 - 5*b + 29. Suppose -48 = -15*k + 7*k. Is g(k) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1012 - 12?\nAnswer: 1000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zffrfnfrnrrrrnfzfrr. Give prob of picking 1 n and 2 r.\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (13\/(-45) - 16\/(-40))*-4?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*w - 49 + 100 - 51.\nAnswer: -16*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(17) + 0 + sqrt(85)\/sqrt(5) + sqrt(2448)*2)*-4.\nAnswer: 312*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 152\/(-352) + ((-24)\/(-22))\/6?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -36, -44, -56, -72, -92?\n\"Answer: -2*s**2 - 2*s - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(6\/(-3)*(-1)\/10).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/6 in 517.2, -0.4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**2. Let b be 17\/4 - (14 - 10). Let w(s) be the second derivative of 0 + 0*s**2 - b*s**4 - 3*s + 0*s**3. Determine z(w(j)).\nAnswer: -9*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/14 + (-19)\/(-7). Suppose -j*h + 4*b = -b - 18, -3*h = -2*b - 18. Let s = h + 1. Is 3 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 31902?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4800538 or -4800515?\nAnswer: -4800515","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + 3 + 1. List the prime factors of h*2*(-7)\/(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-90)\/(-30) - (-523 + (-3 - -5)) a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 112888?\nAnswer: 2, 103, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, -1, 12, 40, -2 in increasing order.\nAnswer: -2, -1, 1, 3, 12, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((4 + -3)*68)\/(6\/3). Which is smaller: r or 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a centimeter in millimeters?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 21*i**2 + 2*i + 2. Let d(u) = -106*u**2 - 11*u - 11. Let g = -4624 - -4626. Calculate g*d(h) + 11*k(h).\nAnswer: 19*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0083507208 rounded to five decimal places?\nAnswer: 0.00835","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -19521344*r**2 + 19494020*r**2 - r + r as f*r + t*r**2 + o and give t.\nAnswer: -27324","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 20957*h**3 - h**2 - 5*h + 5. List the prime factors of u(1).\nAnswer: 2, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32222390 is divided by 19?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36\/11*2 - (33\/(-11) - -9).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -10, -18, -24, -22, -6, 30, 92, 186?\n\"Answer: m**3 - 5*m**2 - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - 16 = -4*v, 0 = -21*g + 16*g + 4*v - 30 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -197 or 6086?\nAnswer: -197","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3054 + 32408. What is the hundreds digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a microgram in nanograms?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.056 + -0.147. Let h = l + 0.0910049. What is h rounded to 6 dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -746 - -746.3. Let u = -9 - -5.3. Let w = u - g. Which is bigger: w or -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l**2 - 5*l + 5*l)*((4*l - 5*l + 0*l)*(0 + 1 - 2) + (4 - 1 - 5)*((-4*l + 2*l + 0*l)*(1 - 1 + 1) + 29*l + 29*l - 40*l)).\nAnswer: -62*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/412 or 1330.1?\nAnswer: -3\/412","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 4*i**2 - 28. Let o(y) = 5*y**2 - 31. Let a(x) = -3*o(x) + 4*q(x). Let c = -26 - -26. Determine a(c).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30159 divided by -9\nAnswer: -3351","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s + 43*o - 8 = 48*o + 17 - 4, 56*s - 3*o - 15 = 106 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 27bc9 (base 14) to base 5\nAnswer: 11121443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 1 + 71 = 0. Let s = 23 + -4. What is the remainder when l is divided by s?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -172 - -184. What is the remainder when 45 is divided by l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 517\/4 + -129. Let l(f) be the third derivative of -3*f**2 + 0*f + 1\/20*f**5 - a*f**4 + 0*f**3 + 0. Find the second derivative of l(i) wrt i.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -43 - -24 - (-2 - -4) - -37?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1180*j - 50 = 1190*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -20654918.02 to the nearest one million.\nAnswer: -21000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n - 5*n - 4*n. Let o(w) be the second derivative of -w**4\/24 + 25*w**2\/2 - 33*w + 1. Let i(x) be the first derivative of o(x). Determine v(i(m)).\nAnswer: 10*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(66)*-5 - sqrt(66) - sqrt(66) - (sqrt(66) + 3*(sqrt(66) + sqrt(66)*1)))\/(sqrt(66)\/(-1*sqrt(11)*4)*-5).\nAnswer: -56*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1143\/(-508))\/((-3)\/4). Suppose 15 = l*y, -2*p + p + 11192 = -y. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and -0.68?\nAnswer: 0.204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1028*k - 1 + 1866*k + 1874*k.\nAnswer: 2712*k - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -524, -544, -538, -494, -400, -244, -14, 302?\n\"Answer: 2*t**3 + t**2 - 37*t - 490","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**4)**(-1)\/((k\/k**(-8\/3))\/k*k**(2\/9)) assuming k is positive.\nAnswer: k**(-62\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*x + 11*x - 2*x + 61683*x**2.\nAnswer: 61683*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 689769493*g**3 + 1206163555*g**2 wrt g?\nAnswer: 4138616958","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 + 3*f**2 - 3*f + 3. Let h be g(2). Suppose -1 - h = -9*x. Factor 2 + 23*k + 8 - 6*k**2 + 19*k**2 - 3*k**3 - 3*k**x.\nAnswer: -(k - 5)*(k + 1)*(3*k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -595035, -1, 3, 0 in descending order.\nAnswer: 12, 3, 0, -1, -595035","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 442026 (base 8) to base 9\nAnswer: 245632","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**3 - 4*s**2 + 6*s + 6. Let j be c(-5). Let u be (20\/(-6))\/(j\/(-3)). Suppose 2 - u = -4*g. Sort 3, -8, g in descending order.\nAnswer: 3, g, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -130 + -5?\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 44*j - 70. Let t(z) = -9*z + 15. Let v(m) = 6*f(m) + 28*t(m). Let s(d) = -10*d. Give v(s(r)).\nAnswer: -120*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/((-3)\/(-1)))\/((-220)\/(-40)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 h when two letters picked without replacement from {v: 1, s: 7, c: 1, k: 6, h: 2}?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -55.2 + 73?\nAnswer: 17.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.7 - 0.3. Let d = 48.6 - 49. What is the nearest to -1\/2 in -0.7, u, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 9873*c*h*t + c - 4*h*t - 9004*h wrt c?\nAnswer: 9873*h*t + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -192649865*h**3*r**2 - 12*h**2*r**2 - h**2 + 447*h*r**2 - 11*h*r - 11*h - 2*r wrt h.\nAnswer: -1155899190*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-2\/39)\/(q\/(q*q\/q**(-24))) assuming q is positive.\nAnswer: q**(973\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 311 (base 5) in base 3?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -27*k**3 + 7*k**2 - 8*k + 2. Give v(1).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*s*u**3 - 36*s*u**2 + 2*u**3 + 1665*u with respect to s.\nAnswer: 3*u**3 - 36*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence smmm when four letters picked without replacement from {s: 8, m: 5}?\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -2237501*j**2 - 2*j + 8. Let v = 52 + -27. Suppose 0 = -7*z - v - 3. Let d be f(z). What is d rounded to the nearest one million?\nAnswer: -36000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 4443, 4446, 4449, 4452, 4455, 4458?\n\"Answer: 3*c + 4440","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**2 - g. Let d(a) = -38*a**2 - 12*a. Let i(j) = d(j) - 12*y(j). Let l(s) = 2*s**2. What is l(i(v))?\nAnswer: 1352*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 + -2566b?\nAnswer: -25666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.853 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 92607*d**2 - 2*d - 5. Let j be g(4). Let i = j + -195581543\/132. Let t = i + -13\/33. Calculate the common denominator of -41\/22 and t.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 369 + -369.0687. Let y = 255.0687 + z. Is 0 greater than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 44335740?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -283*o + 569*o + 26 = 299*o. Solve -3*f = -o*i + 16, 6*f - 5*i + 2 = 8*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 362 - 18458\/51. Let x = 79\/357 - a. Sort 0, 2, x.\nAnswer: 0, x, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 33, 55, 89, 141, 217, 323, 465?\n\"Answer: g**3 + 15*g + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 111595701?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 8\/3 of a century?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -4 + 0 + 3 + 3 - 4*g. Let i(h) = 12*h - 1. Let l(k) = -11*k + 2. Let n be (-2 - 0)*57\/(-38). Let r(a) = n*l(a) + 2*i(a). Calculate 6*r(j) - 13*u(j).\nAnswer: -2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*i - 34 = 7*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000023374 rounded to five decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 3*k - 369 = -6*k, -256 = 2*x - 4*k. Let p = x + 598\/5. Let -8\/5 - p*r - 2\/5*r**2 = 0. What is r?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5206 and 4311938.\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 take away -503.80045259?\nAnswer: 502.80045259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12 - -28) + -592 + 491?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -f**2*h**2 - 282*f**2*h + f - 1498*h**2 wrt f.\nAnswer: -2*h**2 - 564*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30116 is divided by 8745?\nAnswer: 3881","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3397022 to the nearest integer?\nAnswer: 1843","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:28 PM and 1:09 AM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2754 and 5832.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.01 (b) 1 (c) 1\/2 (d) -2 (e) 15 (f) 3 (g) 51\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.05 * 0.828.\nAnswer: -0.0414","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -21*i + 22*i - 2309. List the prime factors of i\/4 + (-159)\/(-212).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -144 divided by 373\nAnswer: -144\/373","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/30 - 276\/(-720). What is the closest to -1 in -0.4, n, 25?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -3*z - 2*z**2 + 3*z**2 - 3*z + 43 + 5*z. Does 21 divide f(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 105 - 107. Which is the nearest to i? (a) 0.4 (b) -4 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 410841225293 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 - -96?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-27)\/(5\/(40\/12)). Let b = 95 + r. Suppose -f = -5*i + b + 263, -114 = -2*i - 4*f. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the first derivative of -4*f**6 + 0*f - 2*f - 160*f**2 + 159*f**2 + 53. What is the second derivative of u(d) wrt d?\nAnswer: -480*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 4, o: 1, i: 1, g: 1, q: 3, x: 5}. What is prob of sequence oi?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -5, 3, 2\/7, -4.\nAnswer: -10, -5, -4, 2\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (-1 - ((-2 - -7) + -5)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + -15 - (-17 + 6)) + (1 - -8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**2 - 185461*m - 1483745. Give d(-8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 46 in 0, -12, -1076?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the second derivative of 4*k**4\/3 - 2*k - 62. Let w(a) be the first derivative of a**3 - 1. Calculate n(w(g)).\nAnswer: 144*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**3 + 5*n**2 - 4*n. Let h be k(4). Let p be (-81)\/(-18) + 2\/(-4). Let r = p - h. Solve r = -3*i + 5*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*a + 70 - 10. Let v(x) = -5*x**3 - 7*x**2 - x - 39. Is v(a) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (239 - 10*w - 239)*(-1 + 0 + 2)*(2*w + w - 5*w) + (-3 + 2 + 5)*(w**2 - w**2 + 2*w**2) as a*w + s + q*w**2 and give q.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*z**2 + 69*z + 8*z**2 - 26 - 69*z as k*z**2 + x*z + c and give c.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**3\/2 - 39*y**2\/2 - 21*y + 40.\nAnswer: (y - 40)*(y - 1)*(y + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -261*j - 1573. Let s be u(-6). What is the nearest to 0 in 0.5, -0.79, s?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**2 - 13*o + 32. Give q(-16).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5812 and 36?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -430 (base 7) to base 15\nAnswer: -e7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:26 AM and 10:21 AM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 33*r. Let m(u) = u - 1. Suppose 0 = 2*q - 1 - 1. Let w(v) = q*k(v) - 2*m(v). Is w(3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 1\/3, -16\/5, 0, -13 in decreasing order.\nAnswer: 7, 1\/3, 0, -16\/5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggvggggggggvggvvggg. Give prob of picking 3 v.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is a4caa9 (base 13) in base 3?\nAnswer: 21020212120101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 314 divided by 49.\nAnswer: 314\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -323, -374, -425?\n\"Answer: -51*l - 272","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 131895 or 395681\/3?\nAnswer: 131895","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + a + 135 = -u, -u - 2*a - 136 = 0. Let m = u - -226. Let h = m + -53. List the prime factors of h.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1938995, -1939144, -1939391, -1939736, -1940179, -1940720, -1941359?\nAnswer: -1942096","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3601 divided by -13.\nAnswer: 277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 315 is divided by 23.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 63055 and 1?\nAnswer: 63055","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 244592464 a multiple of 3839?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**2 - 2*z - 1. Let b be a(-1). Suppose 0 = -b*q + 4*q - 96. Suppose 4*s + 5*w - q = 0, 4*s + 2*w - 3*w = 0. Sort 0, s, 2 in descending order.\nAnswer: 2, s, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x - 4*x + 39 = 0. Let o = -27 - x. What are the prime factors of (4 + o)\/(0 - 1)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 611 and 501349.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*z + 1176757 = -220712. What are the prime factors of z?\nAnswer: 24517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 6 - 22*m**2 - 1 + 0.\nAnswer: -22*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(2688) + sqrt(2688)*-2 - sqrt(42))*-2)\/((-1*sqrt(96)\/sqrt(2))\/sqrt(8))*-4 + -2.\nAnswer: -2 + 432*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 432.8 >= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 298 + (-8)\/52 + 28\/13. Let a = v + -298. Factor 2\/7*r**3 + 0 - 1\/7*r**4 - 1\/7*r**a + 0*r.\nAnswer: -r**2*(r - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes after 1:59 PM?\nAnswer: 9:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a**2 - 29928*a - 74640432 = 0. Calculate a.\nAnswer: -4988","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2524954642?\nAnswer: 2, 7, 1973, 91411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + 0*h + 24 = 5*h, 0 = -2*v - 3*h + 22 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 534502552 to the power of 1\/4, to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = x - 0*y - 84, 4*y + 16 = 0. Suppose 0 = -132*g - 42*g + 22620. What is the highest common factor of x and g?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -644*h + 1942. Determine l(3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -14*g**2 - 2*g - 2. Let p(c) = -28*c**2 - 8*c + 25. Let x(o) = 28*o**2 + 9*o - 35. Let h(m) = 4*p(m) + 3*x(m). Calculate 2*h(n) - 5*v(n).\nAnswer: 14*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * -3120336.\nAnswer: 6240672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00090653309 to six decimal places.\nAnswer: -0.000907","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 + -5. Suppose 5*h - 17 - 60 = -2*d, t*h = 4. Is d a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 5}. Give prob of sequence ssss.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5)\/(-15) - 2\/9. Let p = -3758\/153 - -220\/9. What is the second smallest value in -1\/2, -1\/6, p, v?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1475, -1, 0.2, 3\/5 in decreasing order.\nAnswer: 1475, 3\/5, 0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 33825317, 33825334, 33825351, 33825368, 33825385, 33825402?\nAnswer: 33825419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes before 10:34 PM?\nAnswer: 12:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = d - 26. Let r be (d\/1 + 3)\/(-1). Is (0 - 2)*22827\/r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1146555?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 6 - g**2 - 12 + 7*g - g. Let v be s(4). Suppose -v*a = -a - 16. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 d, and 1 o when three letters picked without replacement from {s: 2, v: 4, d: 5, o: 7}.\nAnswer: 35\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, 0.4, 4, -2\/7, 5, -127.\nAnswer: -127, -15, -2\/7, 0.4, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the third derivative of 0*b**3 + 0 - 4*b**2 + 125\/504*b**8 + 10\/21*b**7 + 0*b**4 + 4\/45*b**5 + 0*b + 1\/3*b**6. Factor g(t).\nAnswer: 2*t**2*(5*t + 2)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vii when three letters picked without replacement from iiiiviiiiiiiiii.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6 + (-140)\/21 - 2434\/(-3642). Let m = 6691\/8498 - a. Find the common denominator of -45\/19 and m.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17077 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2 + (1 + 0 + 1)*(3 + 3 - 4) - 1 - 5 + 5 + 2 + 3 - 12 - 2 - 1 - 1)*(2*r**4 - r**4 + 0*r**4).\nAnswer: -6*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 12*i**2. Let f(h) = -4559*h**2 - 63*h - 1. Give f(u(q)).\nAnswer: -656496*q**4 - 756*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*z = 5*z + 115. What is the third derivative of 36*i**2 - i**2 + z*i**3 - 24*i**3 wrt i?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 230, 480, 716, 932, 1122, 1280, 1400, 1476?\nAnswer: 1502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8506?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 3*v + 9 = 0. Suppose -v = -u + 5*g, 0 = g - 3*g - 8. Let n = 23 + u. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 7\/2 of a tonne?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d + 190 = -6*d - 4*y, 2*d - 5*y = 374. Suppose -178*o = -d*o + 20. Solve -o*p - 18 = -3 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3830656157 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 + (-3)\/2)*-2. What is the remainder when 10\/35 - (-570)\/14 is divided by ((-21)\/3)\/(q\/(-2))?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:54 PM and 12:48 AM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 34*r**3 - 8*r**2 + 45*r + 6. Let l(n) = 35*n**3 - 6*n**2 + 44*n + 5. Let o(g) = 4*l(g) - 3*u(g). What is the second derivative of o(b) wrt b?\nAnswer: 228*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**2 + 41*o - 99. Let i be r(38). What is the remainder when ((-175)\/i + -3)*63\/(-12) is divided by 34?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7944 is divided by 274?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*v - 6064 = -49570 - 55296. What is the thousands digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -0*i + 20. Suppose 0 = 4*x - 5*k + 3 - 0, -2*k = x - 9. Suppose -2*v + x*h + 4 = 7, -18 = 5*v + 3*h. Sort i, v, 1 in decreasing order.\nAnswer: 1, v, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21371, -84559, -189891, -337379, -527035, -758871, -1032899, -1349131?\nAnswer: -1707579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 2*y**2 - 34*y + 11. What is the remainder when f(17) is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5752.546mm in micrometers?\nAnswer: 5752546","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -140.1 * -1.1.\nAnswer: 154.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-99)\/(-228))\/((-3)\/(-24)). Let f = -321\/76 + v. Which is the nearest to 5? (a) 5 (b) f (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 - 1c?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14036.42331 microseconds to weeks.\nAnswer: 0.000000023208371875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f**2 + 0*f**2 - f + f**2)*(0*f - 2*f + f) + f**3 + 3*f**3 - 3*f**3 + (3 - 3 + 2)*(-2*f**3 - 3*f + 3*f) + 2*f**3 - 2 + 2.\nAnswer: -3*f**3 + f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4885787 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -6\/1339?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 - -11. Let k(q) = q - 2*q + q**r + q. Let y(t) be the second derivative of -11*t**3\/6 - 58*t - 3. Determine y(k(p)).\nAnswer: -11*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -12 - -2 - (-18043 - 44) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 102141 - 3434?\nAnswer: 43202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -545, -2189, -4931, -8771, -13709, -19745?\n\"Answer: -549*i**2 + 3*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1259263221?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5149998 and 1127.\nAnswer: 118449954","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1))**(-10\/11)\/(d\/(d*d**0))**(31\/3) assuming d is positive.\nAnswer: d**(10\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2078645131 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 41 and 1189?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 373775 divided by -115?\nAnswer: -74755\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 + 16*r**2 - 28*r - 121. Let h be i(12). Solve 0 = 47*n - 30*n + h for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 40 - 27. Calculate the remainder when 25 is divided by o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -781002, 8, 4 in ascending order.\nAnswer: -781002, -5, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6992795.\nAnswer: 5, 1398559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**6*r**(6\/5)\/r assuming r is positive.\nAnswer: r**(31\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 50783?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.67511653 to 4 dps.\nAnswer: 0.6751","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 17910*x**3 - 5*x**2 + 3*x - 1274 wrt x?\nAnswer: 107460","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 143517 and 81334998?\nAnswer: 894684978","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 22\/8*12\/1. Suppose -o = -5*g + 2. What is the highest common factor of 77 and g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 + 2. Let c = 6 + m. Is ((-5)\/10)\/(c\/514) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4339 is divided by 35.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 14\/(2\/4*-4). Let g be (7\/4)\/(1\/(-4)). List the prime factors of (1 + s)*g\/14.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 - -1. Let q = -414 - -100. Let l = q - -322. Which is the smallest value? (a) w (b) -0.4 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 k, and 1 h when three letters picked without replacement from ttsjhkttjsfjftjtst.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 3445 = -3*t + 124, 0 = -s. Let v = t - -1840. What are the prime factors of v?\nAnswer: 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (685\/137)\/(((-30)\/4)\/(-3)). What is the thousands digit of ((-6)\/10)\/(u\/(-5960))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-9)\/((-54)\/42) + -4842. Let u be -2 + -3 + 10*w\/10. Round u to the nearest 100.\nAnswer: -4800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 230767793 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 15343 divided by -89?\nAnswer: -15343\/89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -9*u. What is v(-5)?\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 5634505252 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 6859847*x. Let u(t) = -23*t. Determine u(f(v)).\nAnswer: -157776481*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16 - -44. Suppose -2*j - t = -4*n, 3*n = 4*j + 14 + 17. Sort -1\/4, n, -1\/2 in decreasing order.\nAnswer: n, -1\/4, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -2*l. Suppose 3*q = -3*q - 0*q. Let i(s) be the third derivative of q*s**3 + 0*s**4 - 4*s**2 + 1\/15*s**5 + 0 + 0*s. What is v(i(k))?\nAnswer: -8*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4357 is divided by 4355.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -n**3 + 0*n**3 - n**3 + (-4*n + 3*n + 3*n)*(-3 + 3 + 2*n**2) + (-4*n**3 - n**3 + 3*n**3)*(11 + 7 + 12).\nAnswer: -58*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10211 - 101211221221?\nAnswer: -101212002202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-13)\/5330)\/(84\/21285) + 35\/56?\nAnswer: 2\/287","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -3*n**4 - 845448*n**3 + 66804555*n**2 - 1285446000*n - 1353096000 = 0?\nAnswer: -281895, -1, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 5*r - 6. Let v(j) = j**3 - j**2. What is v(r)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes after 8:26 AM?\nAnswer: 9:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 <= -70\/1039833?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1963 + 2791. Does 2 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**5)**(-28))**(-17))**34 assuming f is positive.\nAnswer: f**80920","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 83 - 36. Calculate the remainder when 95 + -5 + -1 + 2 is divided by n.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((54\/(-9))\/(-6))\/1)\/((-20)\/(-12)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 31*i**4 + 80*i**3 + 42*i**2 - 131*i - 11. Let c(a) = 6*a**4 + 16*a**3 + 8*a**2 - 26*a - 2. Let d(l) = 11*c(l) - 2*r(l). Factor d(o).\nAnswer: 4*o*(o - 1)*(o + 2)*(o + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11433873959 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.16, -9\/8, 3, 13, -2\/7, 27.\nAnswer: -9\/8, -2\/7, -0.16, 3, 13, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 55345241 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-5\/3))**(-1\/27))**(5\/8) assuming a is positive.\nAnswer: a**(25\/648)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 32*h**2 - 785*h - 376. Determine k(25).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 154999176?\nAnswer: 2, 3, 43, 150193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6513698 litres to millilitres.\nAnswer: 651.3698","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 1 + (-1 - -3) - -1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 4 = 3*p + 1, 1 = p. Solve 6*d - 2*d - 8 = q for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrnzivzo. What is prob of picking 1 z and 1 r?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1947 = -5*c + 2*b - 0*b, 4*b - 1971 = -5*c. Let v(u) = -7*u**2 - 5*u + 239. Let t be v(-6). What is the greatest common divisor of t and c?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 300 and 228?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -4*y - 4*y - 6 + 4 - y. Let t be g(-5). What is the third derivative of -14*l**5 - t + 43 + 2*l**2 wrt l?\nAnswer: -840*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 40 and 272700?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 22 - 376\/17. Let h = 4 + -6. Let m be (-2)\/(42\/(-90) - (-4)\/(-20)). Which is the nearest to -0.1? (a) m (b) f (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 10*z**3 - 14*z**2 + 13*z - 2. Let f be t(1). Solve -f = 4*d + 2*i + 5, 5*d + i + 21 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 41349918 to the nearest integer?\nAnswer: 6430","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 less than or equal to 104?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3640 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 + (2 - 3) + 3. Let d = 2 - -12. Suppose o*f - d = f. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1317 + 148. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -14*n**3 - 14*n + 6. Let g(i) = -20*i**3 - 27*i + 12. Let b(w) = 7*w**3 + 9*w - 4. Let p(m) = 7*b(m) + 2*g(m). What is 8*p(y) + 5*v(y)?\nAnswer: 2*y**3 + 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -d4a - -2448?\nAnswer: 15ed","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -145 - -334. Let w = t + -1121\/6. Calculate the common denominator of -103*((-22)\/(-12) - 2) and w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 + 12. Suppose -4*a = -a + h. Suppose 0 = -17*i + 30*i + 39. Put -5, a, i in descending order.\nAnswer: a, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-24)\/26 + 1)*(-96330)\/533520.\nAnswer: -1\/72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 0.1, -2\/9, -27, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 34239 divided by -11413\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 2*f - 21306, -3*z + 26052 = -2*f + 10076. Suppose -11*k + 779 = -z. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0 (b) 8 (c) 4 (d) -61\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u**(1\/26)*u*u)\/u**(-21))**(-10\/7))**(-26))**20 assuming u is positive.\nAnswer: u**(119800\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 19*q - 164. Let b be a(0). Let v = -155 - b. Sort 5, 2, -5, v.\nAnswer: -5, 2, 5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110421404 (base 5) to base 2.\nAnswer: 1110101110110101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61824.\nAnswer: 2, 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/1223, -12, -230, -0.2?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -137a (base 11) to base 3\nAnswer: -2102222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 - -7. Suppose -f*l + 0*l = 0. Suppose 5*c = -l*c + 9150. Round c to the nearest 100.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14868 + -104266\/7. Let u = -27 - p. Let o = -3\/28 - u. Which is the closest to -0.03? (a) o (b) -5 (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 - (29 + -7) - 25.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 108 = t. Let m be (-4)\/46 - 1056\/(-506). Suppose -5*j + 178 = c, 0 = m*j + 2*c - 92 + 16. Which is smaller: t or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.6*59565\nAnswer: -35739","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zevvvvvvzveyvvvvvzyv. Give prob of sequence ye.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**3 + 29*p**2 - 6*p + 27. Calculate g(-29).\nAnswer: 201","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.32 + 9.32. Let w = -33 + 22. Let v = w + x. Which is bigger: v or -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 3 + 0)*(0*d - d + 2*d)*(9 + 6 + 4) + (-1 - 2 + 5)*(-d - d + d) + 2*d - 2*d + 2*d.\nAnswer: -152*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*s + 8*s**2 - 14*s)*(-3 + 3 - s**3).\nAnswer: -8*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -10, -5, -4, 2, -3, 9 in descending order.\nAnswer: 9, 2, -2, -3, -4, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -453965 or 0.14?\nAnswer: -453965","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*d**2 + 2*d**2 + 3*d**2)*(-4*d**3 + 6*d**3 - 3*d**3) + (d - 3*d + 0*d)*(d**2 - d**2 + 2*d**4).\nAnswer: -5*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2656036620 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 66672 and 84?\nAnswer: 466704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 35579 and 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*z + 548 = -712. Is 5 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28775700, -57551395, -86327090, -115102785?\nAnswer: -143878480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*n**3 - 6*n**3 - 3*n**3 + 19*n**3.\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes before 7:32 PM?\nAnswer: 8:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*n - 3*q = 6*n + 7, -5*n + 15 = -5*q for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24 - 1) + (22 - 65 - -90) + -34.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.14 - 0.19. Let u = g - -0.0489. What is u rounded to three decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3221.\nAnswer: 3221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-178)\/2 + 1382646\/9806?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 18 - 2*i + 4*i**5 - 18 + 0*i**5 wrt i?\nAnswer: 80*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 3) + 9 + -13.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-28)\/w**6*(w\/(w\/w**20*w))**(-2\/23) assuming w is positive.\nAnswer: w**(-820\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -41 + -34201?\nAnswer: -34242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, 3\/4, 6, -4\/5, -2?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z. Let g be n(-5). Suppose 2*x = g*x. Solve -d = -x*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11, -22, -39, -62, -91, -126?\nAnswer: -167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-5)*-2)\/(10\/(-100))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k**2 - 4*k**2 + 0*k**2)*(-58*k + 123*k + 39 - 60*k).\nAnswer: -10*k**3 - 78*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-152*y + 8620 - 8620)*(2 - 2 - 1) to g*y + f and give g.\nAnswer: 152","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13 + 38\/3. Which is smaller: x or 13?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119) - 1*-2*sqrt(119) - sqrt(119))\/(sqrt(63)\/sqrt(324)).\nAnswer: 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) - (0 + sqrt(153))) + -3 - (sqrt(153)\/(2*sqrt(9)) - (sqrt(17) + (sqrt(612)*-1)**2)).\nAnswer: -3*sqrt(17)\/2 + 609","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -4748*w. Let y(p) = -33*p - 2. Give y(c(u)).\nAnswer: 156684*u - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -11, -28, -45, -62, -79, -96?\n\"Answer: -17*l + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1000790 divided by 14297\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 5845, 5848, 5851, 5854?\n\"Answer: 3*f + 5842","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-85)\/15 - -6)\/((-2)\/(-1698)) is divided by 58.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 286861?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -619, -2570, -5851, -10462, -16403, -23674, -32275?\n\"Answer: -665*t**2 + 44*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 26247.6887 to the nearest one thousand.\nAnswer: 26000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 904 a factor of 5622880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61 is divided by 120\/(-12)*16\/(-10)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**2 - 31*v - 2029. Give t(-32).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80 is divided by 10 + -1 - (-82)\/41.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**2 + 3*j - 7. Let x be i(-5). Suppose -2*p - x = p. Let r = 2 + p. Is 3\/8 bigger than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 26 - 21. Suppose n*q + 54 = -q. List the prime factors of 34*(q\/2)\/(-9).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -19*f**3 - 12*f**2 + 495. Let d(n) = 10*n**3 + 9*n**2 - 247. Let m(j) = -11*d(j) - 6*z(j). What is the first derivative of m(t) wrt t?\nAnswer: 12*t**2 - 54*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 50 - 27. Let p(c) = -c**2 + 31*c - 36. Let g be p(q). Is g smaller than 147?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 2*l**2 + l + 9. What is c(6)?\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**2 - 3*v - 2. Let l be y(-2). Suppose -5 = 3*n - 20. Solve -2*h + 3*h + n = l for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - v = 1, -4*k + 22 = 4*v - 2*v. Suppose 0 = -2*p - 3*p + 10. Find the first derivative of 2*d**k + p + d**3 - d**3 wrt d.\nAnswer: 8*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (3 - (2 - -2)) + 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000590088 to six dps.\nAnswer: -0.000059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 9 + (-9 - (1 + -6))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mfapfmpfffmft. What is prob of picking 2 p, 1 f, and 1 m?\nAnswer: 18\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 51.016677 rounded to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/(s**(3\/8)*s))\/((s*s**(-5))\/s))\/((s**(-3\/4)*s)\/s**(3\/5)))\/((s*s**0)**(-4\/11)*(s*s*s\/s**(-1)*s*s)**37) assuming s is positive.\nAnswer: s**(-95331\/440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 5*o + 11. Let j be ((-4)\/(-3))\/(4\/(-6)). Let y be c(j). Solve -3*l + 4*b - 10 = 0, 2*b - b = y for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -120 divided by 40.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 33 + -97. Let u(b) = b**3 - 7*b**2 - 4*b - 27. Let z be u(8). Let m = z - k. List the prime factors of m.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y, 1 d, and 1 b when four letters picked without replacement from yydybbybyyyyydyydyoy?\nAnswer: 234\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*(t*t**1*t*t)\/t)\/(t*t**(-1)))\/(t\/t**(4\/5)*t**(-6)) assuming t is positive.\nAnswer: t**(49\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 90499, 90554, 90609, 90664, 90719, 90774?\nAnswer: 90829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -448, 4, -3\/8.\nAnswer: -448, -3\/8, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -528, -529, -530?\nAnswer: -531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*b**3*c - 7*b**3 - 3*b**2*c**2 + 5*b**2 + 15*c**2 with respect to c.\nAnswer: -2*b**3 - 6*b**2*c + 30*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7220919*k + 5550058?\nAnswer: 7220919","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16984809.972 - -16949116. Let l = 35633 + o. Let b = 61 + l. What is b rounded to 2 decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4*(-3)\/(-6) - -728?\nAnswer: 2, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14 and 370?\nAnswer: 2590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -5*u**2 - 31*u - 7. Let h(p) = 4*p**2 + 30*p + 6. Calculate 7*h(v) + 6*m(v).\nAnswer: -2*v**2 + 24*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 (base 5) in base 8?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -a + 4, -2*t - 5*a + 1 = -4*a. Suppose -3*l - 4*x + 39 = 145, 5*x = -t*l - 107. Is -31 at most l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rmw when three letters picked without replacement from rcwmsrrr.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 33907 + -22310. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -25664*k - 769957. Determine g(-30).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the first derivative of -x**4\/2 - x**3\/3 + 53*x**2\/2 - 7*x + 169. Is f(-21) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -15 + (-476)\/(-51) + 8 - 1\/3. Which is the closest to 0? (a) 4 (b) g (c) 13 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 56\/45 and -23\/72.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 28 in 4, 1\/3, -0.1, 336\/5, -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 9*p. Let f(b) = -3*b. Let k(z) = 17*f(z) + 6*l(z). Let g(y) = -4*y**2 + 2*y**2 - 2*y**2. Give k(g(n)).\nAnswer: -12*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**3 + 11*d**2 - 7*d + 10. Let x(a) = 4*a**3 - 34*a**2 + 20*a - 32. Let n(c) = -7*h(c) - 2*x(c). What is n(-10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(4\/3)\/((t\/(t**(-4)*t))\/t))**(-6\/29)*(t**(2\/9)*t**1*t)\/(t\/(t**(1\/4)\/t))**(1\/44) assuming t is positive.\nAnswer: t**(116093\/45936)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/253 and 54\/161?\nAnswer: 1771","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (132\/(-616))\/(18\/14)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the first derivative of -n**4\/4 + n**3\/3 - n**2\/2 - 6*n - 5. Let k be b(0). Let a be k\/(-9)*(-9)\/(-2). Solve -a*l + l + 2 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and 142?\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4 + -91079.29.\nAnswer: -91078.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**3 + 15*s**2 + 5*s - 19. Is 23 a factor of t(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2057) + (sqrt(2057) + -4)**2 + 1 + sqrt(2057)*2 + 0)*-4.\nAnswer: -8296 + 220*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**3\/9 - 67*j**2\/9 - 3965*j\/9 + 29575.\nAnswer: (j - 65)**2*(j + 63)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zv when two letters picked without replacement from vzvzvrrvv.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*h = -3*t - 12*h + 369, -5*h - 235 = -2*t. Which is bigger: t or 100?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-23)\/(1449\/18)*2\/4?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, p: 2, q: 1, w: 4, n: 2, t: 1}. What is prob of sequence nn?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3609\/5 + -723. Let r = 1.4 - -1.6. Let w = -3.1 + r. What is the biggest value in -0.2, w, -1, b?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 18906, 37805, 56694, 75573, 94442?\n\"Answer: -5*j**2 + 18914*j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 100 + 23?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 5, -4\/753, -66\/317, -5 in decreasing order.\nAnswer: 5, 2, -4\/753, -66\/317, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -105618, -210630, -315642?\n\"Answer: -105012*c - 606","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -11055*o - 1. Let w be n(-3). Let u = 156836 + w. Round u to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-54)\/(-12) - (-5)\/2) + 4746?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 327 a factor of 2892315?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 q when three letters picked without replacement from {q: 1, o: 5, x: 3, m: 6, a: 1, i: 1}.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -241 (base 7) to base 3.\nAnswer: -11201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -136849 + 136324 = -3*f + 26*f + 12*f for f.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yoyy. Give prob of picking 2 y.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000021227 to five dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**3 - 4*c**2 - 5*c + 2. Calculate b(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 131 - 44. Suppose -8 - h = -v. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.13 * -0.4.\nAnswer: 0.052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 215134841 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 3 (b) 0.1 (c) 4\/453 (d) -2 (e) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (30 - 59 + 28 - 44*l)*(-36*l**2 - 35*l**2 - 20*l**2 - 2) to m*l**2 + r + v*l**3 + w*l and give w.\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 = 14*a - 8*a. Let t = 14 - a. Suppose -3*s = h - 4, t*s - s - 2*h - 6 = 0. Put 3, s, -6, 0 in descending order.\nAnswer: 3, s, 0, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33956025.\nAnswer: 3, 5, 43, 10529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 31284020 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 8953503, 20, 0.2?\nAnswer: 8953503","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 179982642?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 171*p - 1342 + 4605 = -6655 for p.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 - 8*t**2 - t - 5. Let s be i(-8). Let c(j) = 11*j. Let u(q) = 32*q. Determine s*u(x) - 10*c(x).\nAnswer: -14*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.03 in 0.2, 2\/5, 16\/453?\nAnswer: 16\/453","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9696?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the third derivative of 0 + 0*m + 59*m**2 - 1\/6*m**3. Let c(p) = 2*p - 5. Suppose -5 = -5*q - z, 2*z = 2*q - 3 + 1. Give q*c(l) - 5*v(l).\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 233 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*y + 105 - 39 = 0. Solve 7*v = y*v + 2 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 2*u**3 + 24*u**2 - 98*u - 4. Let k(q) = 3*q**3 + 49*q**2 - 196*q - 7. Let w(g) = -4*k(g) + 7*o(g). Factor w(h).\nAnswer: 2*h*(h - 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 + -5321?\nAnswer: -5322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3614 + 14361\/4. What is the common denominator of d and 25\/18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91225 is divided by 3795?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -305b3278 - -1?\nAnswer: -305b3277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000941547 rounded to six decimal places?\nAnswer: -0.000942","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*g**2*i**3 - 1550*g**2 + 2868*g*i**4 - 6*g*i**2 wrt i.\nAnswer: 12*g**2 + 68832*g*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3732471 (base 8) to base 6.\nAnswer: 34021521","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -c + 1 - 1 + (-7 - 5 + 1 + (-2 + 2 + 2)*(2 + 4 - 4))*(2*c + 2 - 2 + 2*c - 3*c + 0*c + (-1 + 5 - 2)*(-c + 0*c + 0*c) - 2*c + 2*c - c).\nAnswer: 13*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**3 + 28*m**2 - 3*m + 353. What is the tens digit of f(-27)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4193)\/(-14) - 1\/2. Suppose 6*p - 7 = q. List the prime factors of p.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*u**5 - 70*u**4 - 98*u**3 + 86*u**2 + 76*u - 16 = 0. What is u?\nAnswer: -1, 2\/11, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -i**4 - 1211*i**3*r**2 - 28*r**2 - 18 wrt i?\nAnswer: -4*i**3 - 3633*i**2*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 2*d = -666, 4*y + 408 + 253 = -3*d. Let x = y + 442. What is the hundreds digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, 3\/7, 5, 1778, 0.4, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 82198257 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: What are the prime factors of 556?\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 723\/1795 - 1\/359. Factor i*g + 1\/5 + 1\/5*g**2.\nAnswer: (g + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -5*m**2 - 4*m + 6. Let i = -3 + 6. Let f(a) = 4*a**2 + 3*a - 5. Let w(z) = z**3 - 7*z**2 - 3*z + 25. Let q be w(7). What is i*c(k) + q*f(k)?\nAnswer: k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5122410657 to the nearest integer?\nAnswer: 71571","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/4155342 and -0.1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1225 and 9?\nAnswer: 11025","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*x**3 + x**3 + 728*x + 734*x - 1462*x.\nAnswer: -4*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1a (base 11) in base 14?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 906736.\nAnswer: 2, 56671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 293299.\nAnswer: 37, 7927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12762380.\nAnswer: 2, 5, 47, 13577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 132*c - 6065 - 2650 - 921 for c.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 27*a - 31*a + a**3 - 7*a**2 + 14*a - 19. Let r be w(6). Let g = -3 + 2.9. What is the smallest value in g, r, -5\/2?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 313 is divided by 146.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the third derivative of -11*d**6\/40 - d**4\/24 + 7*d**2. Let r be w(-1). Suppose r*i = 32*i. Solve -4*c + 12 + 0 = i for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1151747 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -12 (b) -6 (c) 60 (d) 0.5 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 x when two letters picked without replacement from gxxjjdjjggzzzdxx?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6087 + 6074. Is -113\/8 > b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 170\/(-408)*-2*1\/5\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 444 and 24198.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 4 + 5)*(-6*f + 18*f - 228 + 227) to p*f + b and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-136)\/198 - (-26)\/(-117). Let x = o - -114\/77. Put x, 0.1, -7, -0.3 in descending order.\nAnswer: x, 0.1, -0.3, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 7, e: 3, u: 8}. Give prob of sequence jju.\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**2 + 6*f + 8. Determine r(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 - -6 - (-2 + 4 - 26).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 52920, 52923, 52926?\n\"Answer: 3*y + 52917","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 3*j**2 + 17*j - 138. Give y(-11).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -33 + 33.38. Let y = -0.12 - c. What is the nearest to 1 in y, 1, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y - 3*y**2 - 5 + 10*y + 2*y**2 - 5*y. Let l(h) = h**2 - 4*h + 4. Determine -5*l(s) - 4*r(s).\nAnswer: -s**2 + 4*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**26*w)**44)**(-5\/11) assuming w is positive.\nAnswer: w**(-540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 90*f**3 - 2701*f**2 + 38*f - 248. Determine u(30).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence deu when three letters picked without replacement from {u: 1, d: 4, e: 2}.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8430 + 22944. List the prime factors of u.\nAnswer: 2, 3, 41, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*u + 4*u + u + (1 - 4 + 1)*(0 + 0 + 3*u) + 2*u + 2*u - 6*u - 29*u + 42*u + 54*u as r*u + w and give r.\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21032)\/(-239)*(-1)\/64*-4.\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + 1. Let r = 53 - 59. Let c(k) = k**2 - 34. Let w be c(r). Solve w*j + 0*j = t for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**3 - 7*j**2 - 16*j + 2. Let h be o(-3). Suppose -2*g - h = -16*g. Solve -4*r + g = 21 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20039003 and 183629?\nAnswer: 3907","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13 + 18. Let z = 7 - 4. Which is the nearest to 0? (a) z (b) -4 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 811916 and 8688260?\nAnswer: 7588","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/16*-2*-14. Suppose s - 3 = y. Suppose -5 = -w - y*w. Solve -3 + w = x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 37 - 35. Suppose -t*k = v - 110, 3*k - 144 + 529 = 4*v. What is the tens digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 30\/25 - 133\/(-35). Solve -q*n - n = -n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/(-14)*2*-3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 5*w + 13 = 0, -4*w - 5 + 1 = 0. Let j = -819 - -821. Solve -j*y + 4*m - 8 = 0, -q*m + 15 = 3*m for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.08 * 0.004\nAnswer: -0.00032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 + -5. Put 2\/5, k, -0.4 in decreasing order.\nAnswer: 2\/5, -0.4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 434, 498, 602, 746, 930?\nAnswer: 1154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + 4*o - 156 = 24*v + o, 0*v + 43*o = 4*v + 45*o + 8 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 49800 to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -12069*q**2 - 105*q + 38. Let n(p) = 2414*p**2 + 19*p - 7. Calculate 2*c(i) + 11*n(i).\nAnswer: 2416*i**2 - i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*f + 405 - 68*f**2 - 809 + 404.\nAnswer: -4*f*(17*f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 150 and 24330?\nAnswer: 121650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*h**2 + 4*h**2 - 4*h**2 + (0 + h + 0)*(1 - 2*h - 1) + h**2 + h - h + 10*h**2 - 4*h**2 - 13*h**2 + (-2 - 2*h + 2)*(2*h - 3 + 3).\nAnswer: -10*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + -1*sqrt(833))*1)**2.\nAnswer: 28*sqrt(17) + 837","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g + 25 + 3. Let x = g + 108. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(7\/3)\/(h\/h**1))\/(h*h*h**(1\/3))**30*(h**(-3)*h\/(h\/(h*h**(2\/13))))\/((h*h**2)\/(h*h*h**(-1\/8)*h)) assuming h is positive.\nAnswer: h**(-21727\/312)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -467*r = -194*r - 209*r - 320. Let x(a) = -4*a**3 + 5*a - 2. Let v(n) = 5*n**3 + n**2 - 6*n + 2. Give r*v(b) + 6*x(b).\nAnswer: b**3 + 5*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 13*y + 34. What is q(-4)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a millisecond in nanoseconds?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**4 - 7485*p**3 - 14017527*p**2 - 41985243*p.\nAnswer: -p*(p + 3)*(p + 3741)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 75433049 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-1\/5)*z*z**(-3\/8)*z*z*(z\/(z\/(z\/((z*z**(-3\/10)\/z)\/z))))\/z*z*z**(2\/7)*(z\/(z\/(z\/(z**(-2\/9)*z)))*z**2)\/((z**(1\/7)\/z)\/(z\/z**5)) assuming z is positive.\nAnswer: z**(10307\/2520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -6*d**3 - 4*d - 7. Let x = -41 - -46. Let a(u) = u**3 + u + 1. Give x*a(z) + l(z).\nAnswer: -z**3 + z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6475?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -62524127 plus -0.141?\nAnswer: -62524127.141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4987*m**3 - 8885*m**2?\nAnswer: 29922","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -4 + (sqrt(45) - sqrt(5)) + -4.\nAnswer: -6 + 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 7*s + 9. Let r(o) be the second derivative of 2\/3*o**3 + 5\/2*o**2 + 0 - 5*o. Calculate -5*r(k) + 3*z(k).\nAnswer: k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 409377 and 11517?\nAnswer: 1047","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 14) in base 16?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 2*w = 2237, 3*w = 3*r + 7*w - 1331. Suppose -9 = 3*k, 2*h - 3*k = -4*k + r. Let y = h - -13. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (161\/21 - 7)*53*(-852)\/(-2)?\nAnswer: 2, 53, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:45 PM and 8:42 PM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 51386600?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(22\/((-143)\/(-13)))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2651.98 and -4?\nAnswer: 2655.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -266 = 47*d - 31 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b - 5*a - 20 = 0, a = 4*a - 6*a for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1732244*x + 3062341 with respect to x.\nAnswer: -1732244","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 + 8. Suppose l*c + 15 = -5*g, -2*c - 9 = -1. Let k(o) = 5*o + 2. Let i(p) = -3*p - 1. Let r(u) = -9*i(u) - 4*k(u). Determine r(g).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1150930 divided by 20926?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3507\/(-1503))\/(21\/306).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 1 = 9 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/4234032 and -167\/16779312?\nAnswer: 453041424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.8 + 1.5. Let m = i + -1.7. Let n = m - -1.5. Put n, 5, -2 in descending order.\nAnswer: 5, n, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, b: 1, i: 1, w: 1, h: 1}. Give prob of sequence bwi.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 380 - 384. Let x be (-4)\/u*(-2 - (2 - 6)). Solve 31 = 2*y + 5*v, 3*v - 22 = y - x*v for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/8 + 1*(-3)\/(-108). What is the closest to 2\/7 in 3, 4\/7, z?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (22803\/1382)\/((-3)\/(-4)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 99+32980027\nAnswer: 32980126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 272.45532 rounded to the nearest 10?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -185*t**4 - 4*t**3 - 2217*t.\nAnswer: -2220*t**2 - 24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y**2 - y**2 + 2*y**2 + (3 - 3 + y)*(3*y - y - 5*y))*(y + 2*y**2 - y).\nAnswer: -10*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes before 9:45 AM?\nAnswer: 7:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**2 + 2*r + 6. Determine t(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**2 + 12*s. Let t be a(-12). Solve -4*q + 2*q + 8 = 3*u, t = 5*q + 2*u - 9 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 236*u - 10782 = -76*u - 287*u for u.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k**2\/k))\/(k\/(k**(1\/11)*k)))**(-33\/2)*((k**(-2\/9)\/k)\/(k*k**(-2\/3)*k))\/(k*k**(1\/4))**7 assuming k is positive.\nAnswer: k**(-461\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -37*h. Let z = 77 - 75. Suppose 49 + 11 = 5*w. Let v(a) = w*a + a**z - 21*a + 9*a. Determine v(n(k)).\nAnswer: 1369*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 24, -7, 2, -0.08?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3040, 3078, 3126, 3178, 3228, 3270, 3298?\nAnswer: 3306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 20385168789 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 53217900 to the power of 1\/2, to the nearest integer?\nAnswer: 7295","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (164666*l + 9 + 164646*l - 329370*l)*(-2*l**3 + 2*l**3 + l**4) + (0 + 0 + 2*l**4)*(4*l + 0*l - 3*l).\nAnswer: -56*l**5 + 9*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.08 and 11?\nAnswer: 0.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 40\/(-11)*(-2090)\/380 + -84?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**3 - 84*u**2 - 85*u.\nAnswer: u*(u - 85)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 33135.97869 - 47913.17862. Let p = v + 14777. Let s = -0.2 - p. What is s rounded to five decimal places?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 * -121478.39\nAnswer: -607391.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -4, 4*m - m + 31 = 4*a. Suppose -6*c = -a*c + 15. Let j be 5\/c + (-26)\/60. Which is smaller: 0 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3558 to the power of 1\/2, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the third derivative of 0*l**4 + 0*l - 2\/3*l**3 - 2*l**2 - 1\/15*l**5 + 0. What is the derivative of p(h) wrt h?\nAnswer: -8*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b + 4*h - 3*h - 2, 5*h = 4*b - 9. Let d be 1\/(-2 + 30\/14). Put 2, -5, d, b in decreasing order.\nAnswer: d, 2, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q - 130 = 24. Solve c + 0*c = -4*y + 11, 0 = -2*c + 3*y - q for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -59 + (33 + 11 + -57 - -6)?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q + q - 6*q + (-5*q - q + 0*q)*(0 + 1 - 2) + 0*q + 3*q - 4*q)*(-17*q**3 + 17*q**3 + 4*q**4).\nAnswer: 8*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-8)\/(-120))\/((-2)\/6). Is 1 bigger than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -138*h**3 + 30*h - 28. Determine b(1).\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k + 11. Suppose -4*p + 60 - 12 = 0. Let d be c(p). Suppose 21*x = d*x - 14800. What is x rounded to the nearest one thousand?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3271380350 to the power of 1\/8, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 497741160 to the power of 1\/3, to the nearest integer?\nAnswer: 793","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -7*l - 2. Let s be (8\/(-2) + 6)\/(-2)*7. Let b(d) = 22*d + 6. What is s*w(o) - 2*b(o)?\nAnswer: 5*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/316487873 > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*b - 6*b - 20*b.\nAnswer: -30*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 537280 is divided by 1238.\nAnswer: 1226","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5.2 + 9.48. Let x = 4.5 - m. Is -1 < x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zvv when three letters picked without replacement from {e: 1, v: 2, z: 1, j: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3321157 divided by 4?\nAnswer: 3321157\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1989 is divided by 1985.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -4 - (2 - (3 + (1 - 1)))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5012?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1431339, -1431369, -1431399, -1431429, -1431459?\nAnswer: -1431489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**0*l*l**(-11)*l\/((l**(-7)*l)\/l)*l\/(l*(l**(-11)*l)\/l) assuming l is positive.\nAnswer: l**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 - -5. Let k(r) = 2*r - 8. Calculate the least common multiple of t and k(8).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-48)*-3*936\/(-18)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -32467 - 1?\nAnswer: -32468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-3 + (3 + sqrt(1900) + 0 + -2 + -6*(0 + sqrt(1900)))**2*-4)*1.\nAnswer: -190004 + 400*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -24752*b - 2. Let c be l(-2). Let r be (-8)\/(-60) - c\/15. Round r to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -115\/7, 37.4, 4, -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61 = 21*n - 2 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wi when two letters picked without replacement from {w: 5, i: 8, z: 2, g: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -8, -9, -8, -5, 0, 7, 16?\n\"Answer: t**2 - 4*t - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, 5, 0.1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 3068982 divided by 22239\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6281 at least as big as 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 34280887847 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*2\/(-56)*53\/530*-20.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**2 - 14*c - 4. Let x be 5*1*(-14)\/(-5). Let v = x - 0. Calculate the remainder when i(-9) is divided by v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -739 divided by 262\nAnswer: -739\/262","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*r - 3*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:49 PM and 5:41 AM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 4\/3 (b) 2 (c) -3 (d) -166 (e) 6\/5693\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 144*h**3 - 4177*h**2 - 11*h + 458053?\nAnswer: 864*h - 8354","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p + 4 = 3 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 4, q: 1, k: 2, w: 1}. What is prob of picking 1 g and 1 q?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 39 = q, 6*v + 28 = 10*v + 4*q. Solve 0 = -v*n - 14 + 6 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 698 + -674. Solve 5*o - x = 3*s, 0*o - 4*o - 4*s = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 85*p**3 + 2*p**2 + p - 1. Let u be b(1). Let h be (u\/6)\/(2\/(-4)). Suppose -s - 27 = -2*f, -3*s + 0*f - 81 = f. Is s != h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2605752, -2605643, -2605534, -2605425?\n\"Answer: 109*w - 2605861","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 599 divide 1335171?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyy when three letters picked without replacement from {y: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 394.03 + -392. Let n = m + -2. Let k = -0.03 + n. What is the nearest to -1\/2 in 2, 0.3, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 211 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 2) to base 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -11 - 5) + -12 + 1?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16509 is divided by 108?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 10218457?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*v - 154 = -107 - 151 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2680?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 3*a = -a + 8, 3*a = 2*p - 12. Let l = 0 - -0.1. Sort p, -2, l.\nAnswer: -2, p, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the first derivative of -6*t**2 + 1\/24*t**4 - 7 + 0*t**3 + 0*t. Let u(k) be the second derivative of l(k). Let p(m) = 12*m**2. Determine p(u(n)).\nAnswer: 12*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/56 and 3\/76?\nAnswer: 1064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-20)\/(-3 + (-4)\/(-1)). Let t = 25 + p. Calculate the remainder when 7 is divided by t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -d*m**3 + d*m**2*o + 12*d*m*o - 8*d - 3*m**3*o + 12*m**2*o + 2*m wrt m.\nAnswer: -6*d*m + 2*d*o - 18*m*o + 24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 0 - 3)*(-2 - 36*y + 1 - 228*y).\nAnswer: -264*y - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a - 0*a + 33. Let o be a\/22 + 3\/2. Solve -o = -m + 1 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*w**2 - 7964*w - 123271.\nAnswer: 8*w - 7964","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76*d + 73*d + 73*d - 217*d.\nAnswer: 5*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45\/(5040\/(-544)) + 0 + 3\/(-21).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1726403724 a multiple of 4908?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 103 - 70. Let v = -31 + c. Suppose -m = -n - v*m + 1, -n + 2*m - 2 = 0. Solve 4*w + 10 = -3*k, -2*k - 4*w + 3 - 15 = n for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -13*m**2 - 41*m. Let k(b) = -3*b**2 - 10*b. Calculate -9*k(u) + 2*q(u).\nAnswer: u**2 + 8*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (9 - 16 - (-3 - 2))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/6 + 14\/6. Suppose 3*d = 4*s + 38, -3*d - 16 = -4*d - j*s. Let n be 1\/((d\/44)\/7). Solve -5*x + n = -3*g, 5*g + 2*x = 2*g + 13 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 1*(1 + sqrt(208) + sqrt(208)) + -1*(sqrt(325) + sqrt(325)*2) + (sqrt(325) + -1 - sqrt(325))*2)**2.\nAnswer: -28*sqrt(13) + 641","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**2 - f - 1. Let r(z) = 36*z**2 + 27*z + 4. Let j(s) = -r(s) - 4*x(s). Find the second derivative of j(l) wrt l.\nAnswer: -64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2499\/189 - 31) + 18. Factor -2\/9*u**2 + j*u + 0 + 2\/9*u**4 - 2\/9*u**3.\nAnswer: 2*u*(u - 1)**2*(u + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 835.3 and -0.3.\nAnswer: -250.59","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 317410694?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 = 18*f - 101. Solve f*v = -36*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 5*w**2. Let u(b) = -135*b**2. Let n(y) = -55*k(y) - 2*u(y). Let p(i) = -3*i. Calculate n(p(h)).\nAnswer: -45*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -251*j**3 + j**2 + 2*j + 2. Let m be l(-1). Suppose -21*s + 18*s = -m. Calculate the greatest common divisor of s and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qfgfgffqqfqq. What is prob of sequence gq?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = i - 3*i - 3*n, 3*i = 5*n - 4. Let u = -1 + i. What is the units digit of (u\/18)\/(2\/282)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**2 + 8*f - 11. Let h = -10 + -1. Let m be x(h). Let s = -5 + m. Does 8 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k, 1 m, and 1 w when four letters picked without replacement from mwkzzmuk.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*a**4 - a**2 - 18*a**4 - 7*a**2 - a**3 to the form p*a + n*a**4 + d + m*a**2 + f*a**3 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**3 + 61*p**2 + 5*p - 125. Determine a(61).\nAnswer: 180","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 520 - 728. Let n = c - -103. Let z = n + 152. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 522836.37 and -0.18.\nAnswer: 522836.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 12) to base 9.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-435411)\/(-12) + 18*10\/240?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ixiiixxiixixixxi. What is prob of picking 3 i?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*i + 302 - 250 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - 39*g = -0*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 54 - 37. Let z = -150081.1284 - -150064.12840049. Let t = l + z. What is t rounded to 7 dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14.0894*0.1.\nAnswer: -1.40894","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15080 - -6985. Let o be (-3)\/4 + 4 + (-243115)\/30. Let c = d - o. Find the common denominator of c and -79\/14.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.228, -1, 8\/3, -141, -70.\nAnswer: -141, -70, -1, -0.228, 8\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-82)\/(-5) - 279\/(-465). Solve -7*w = y*w - 144 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 4*g**2 + g**3 + g**2 - 2*g + 0*g - 4*g**2. Let l be f(-2). Solve l = 4*m - 9 - 7 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 7 = -3*k. Let q(j) = 32*j**2 - j - 1. Is 15 a factor of q(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-744)\/1240)\/(4\/(-20))*7*1.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*f - 11*f - 6 = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/640 and -29\/300.\nAnswer: 9600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (13 + 5 - 17)*(-29 - 8)\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the first derivative of 207*g**3 + 275*g**2 - 655. Find the second derivative of d(z) wrt z.\nAnswer: 1242","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7600206 (base 8) to base 14.\nAnswer: -3ac610","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22 + 18 + 13\/(-1) + 9\/3?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16 - 8. Suppose -4*b - 4*d + 4 = -s*d, 4*d = -4*b + 12. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 468*d**3 - 36*d**2 - 465*d**3 - 27*d**2 to the form t*d + m + f*d**3 + x*d**2 and give x.\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.2 (b) 4 (c) 64\/21 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of o**3*s**3*v - 9*o**3*s**2*v - 2*o**2*s**3*v - 32*o*s**3*v - 2*o*s**2*v - 2*o*v + 2*s**2*v wrt s.\nAnswer: 6*o**3*v - 12*o**2*v - 192*o*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(500)*2)\/(sqrt(1210)*1 - sqrt(10)).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 706592 and 25631.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:53 AM and 2:38 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -19233*p**5*z + 31*p**4*z - 197*p**2*z + 2*p*z + 183*p wrt p?\nAnswer: -1153980*p**2*z + 744*p*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**5 - 1. Let j(h) = 13*h**5 - 4*h**2 + 5. Let z(n) = -j(n) - 5*q(n). Find the third derivative of z(p) wrt p.\nAnswer: -480*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 130 + 2?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -6*d + 3*d. Let i(p) = -p - 2. Let x be i(d). Suppose -2 + 1 - 3*b**2 + 6*b - x = 0. Calculate b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1207893.2 to the nearest 1000.\nAnswer: -1208000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10170392*b**2*k**3 + 2*b**2*k - 3*b**2 + 122941*b*k + b - 2*g*k**3 + g*k + 2*g wrt k?\nAnswer: 61022352*b**2*k - 12*g*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -867439, -867560, -867681?\n\"Answer: -121*n - 867318","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 169439, 338865, 508281, 677681, 847059, 1016409, 1185725, 1355001?\nAnswer: 1524231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 658988528 to the power of 1\/7, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -142*(-504)\/(-20)*65\/(-39). What is the highest common divisor of l and 49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117 at least 116?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1112 (base 4) to base 9.\nAnswer: -105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 890 rounded to the nearest 100?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (-153)\/66 - (3 + 93\/(-33)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 14, -2, -5, -7.\nAnswer: -7, -5, -2, 2, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -26181 + 26183. Suppose k = 5*c + 21, 0 = 2*c - 5*k - 12 + 2. Sort r, c, -59.\nAnswer: -59, c, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s + o - 0*o - 48, -s = 3*o - 23. Calculate the remainder when 76 is divided by s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 7627735, -4, -1\/2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, 5, 60839, 1, 6, -5 in descending order.\nAnswer: 60839, 6, 5, 1, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 695535 is divided by 693633?\nAnswer: 1902","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6421982 grams in nanograms?\nAnswer: 642198200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 282 - 282. Suppose k = 22*f - 2*f - 10840. What is the hundreds digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 28*x + x**2 + 3*x**3 - 11388 + 5689 + x**3 + 5695 to g*x**3 + q*x + c + r*x**2 and give q.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 111*n - 104*n - 77. Calculate the greatest common divisor of n and 14.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8.1 - -7.8. What is the smallest value in -2\/11, i, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*g - 40*g - 41*g - 29*g + 171*g - 1617.\nAnswer: 15*g - 1617","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45691967.\nAnswer: 353, 129439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2 and 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/15 of a day in minutes?\nAnswer: 192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.00857436 times -3.4\nAnswer: 0.029152824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -2. Let g(z) = -z - 9. Let r(u) = -4*g(u) + 18*h(u). Let f be -2 - (-3 + 4) - -2. Determine r(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (1 + sqrt(75))*-5 + ((-1 + sqrt(75))*1 - sqrt(75)) + (sqrt(27)\/sqrt(3))\/sqrt(3) + -3 + -3)**2.\nAnswer: 576*sqrt(3) + 1872","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s + 2*t + 19, 4*t + 33 = 5*s - 44. Suppose -3*l - s = -4*l + 3*o, 4*l - o - 41 = 0. Suppose -3*d + 31 = -4*i, 3*d - i - 56 = -l. Does 8 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 36772881?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (-12 - 4) + 30 - 24?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 1)*(68*r + 288*r - 11*r)*(-4*r + 0*r + 3*r).\nAnswer: 345*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33 - 73 + 40 - 2*l.\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -3\/2 (b) -3 (c) 2 (d) -0.19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -0.4 (b) -9 (c) 1\/15 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 36612377 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 136*b = 125*b. Let o(n) be the first derivative of -1\/15*n**6 - 9 - 3\/10*n**4 - 2\/15*n**3 + 0*n - 6\/25*n**5 + b*n**2. Factor o(u).\nAnswer: -2*u**2*(u + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:00 AM and 12:31 PM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10085 and 6?\nAnswer: 60510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, z: 1, v: 1}. What is prob of sequence ssvz?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*n - 33*n - 9*n to u + g*n and give g.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2\/15))**(9\/2)\/((q**(1\/2)*q)\/q)**(-3\/19) assuming q is positive.\nAnswer: q**(-99\/190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/9 smaller than -200.7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-139 + (-742799)\/(-5348))*(-7)\/(-6).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19837, 19833, 19829, 19825, 19821, 19817?\nAnswer: 19813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 887000 rounded to the nearest one hundred thousand?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 5112*d. Let x(n) = 154*n. What is j(x(z))?\nAnswer: 787248*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -201724, -201763, -201828, -201919, -202036?\n\"Answer: -13*b**2 - 201711","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and 650?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 2*c**2. Let m(s) = -3*s + 5*s - 4*s + 13 + 5. What is m(a(g))?\nAnswer: -4*g**2 + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 11*a**3 + 125*a**2 + 0 - 133*a**2 + 0. Let m(s) = 4*s**3 - 3*s**2. Determine 8*m(n) - 3*t(n).\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -233, -248, -265, -284, -305?\nAnswer: -328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -122*u - 225*u - 176 - 15*u + 176.\nAnswer: -362*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*f = 47*f - 15. Calculate the remainder when f is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**16)\/u)\/((u*u**11*u)\/u) assuming u is positive.\nAnswer: u**(-28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -6*t**3 + 10*t**2 + 11*t - 8. Let r(z) = -2*z**3 + 3*z**2 + 4*z - 3. What is 3*k(w) - 8*r(w)?\nAnswer: -2*w**3 + 6*w**2 + w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-35)\/(-21))\/((-2)\/(-6)). Suppose -8*g - v = -4*g - t, -2*g + 5*t - 7 = 0. Let k(x) = -x**2 - 1. Let z(d) = 5*d**2 - d + 5. Determine g*z(r) - 4*k(r).\nAnswer: -r**2 + r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1443980014 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (696\/(-18))\/(6\/(-9)). Suppose -2*q - 2*i = m, -5*q + 4*i = 5*i + 165. Let o = q - -139. List the prime factors of o.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (51 - 62) + (-14)\/(-4)*(-24)\/(-42)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3491 - -4596. Calculate the highest common factor of d and 272.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (30 - ((-11 - 22) + 33))\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 641194896 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 21 = 177. Let h = -69 - n. Which is greater: h or -5\/2?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 1 m when three letters picked without replacement from {y: 5, v: 1, n: 1, m: 3, l: 3, r: 1}.\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -9*z - z**3 - 4 + 22*z**2 + 29*z**2 - 35*z**2. What is the tens digit of t(15)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 144412*x**3 + 10*x + 5*x**4 - 6*x**4 + 144411*x**3 in the form d*x + q*x**2 + p*x**4 + u*x**3 + r and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (6\/39)\/(19\/269477)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2457893?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -5*z + 30, z + 4*z - 2*m = 25. Solve h = z*i, -5*h + i - 11 = -3*i for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 - 4. Suppose d*k = 240 - 0. Suppose -4*i = -3*p - k, -5*i + p - 16 + 102 = 0. Calculate the highest common factor of 12 and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 83 - 68*w - 226 + 73 + 69.\nAnswer: -68*w - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -70*z**3 - 1688*z**2 + 14*z - 14. Let p(y) = -23*y**3 - 563*y**2 + 5*y - 5. Let x(h) = -5*d(h) + 14*p(h). Find the third derivative of x(l) wrt l.\nAnswer: 168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1745 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-34106)\/70140 - 8\/(-20). Let c = 3\/334 - x. Put c, -1\/3, -4 in descending order.\nAnswer: c, -1\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -3 (b) 2\/7 (c) 2\/5 (d) 27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -0.1, 8\/15, -2\/5, -2\/13 in ascending order.\nAnswer: -2\/5, -2\/13, -0.1, 8\/15, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aavannna. What is prob of picking 2 a?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = -j - 2*m + 3, -3*m + 6 = j. List the prime factors of 13 + (2 - 3\/j).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02054 to 3 dps.\nAnswer: 0.021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + n = -110, 130 = 5*v - 0*v - 5*n. List the prime factors of v.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/41, -1\/4, -15879, 5 in descending order.\nAnswer: 5, 2\/41, -1\/4, -15879","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -109675, -219431, -329187?\nAnswer: -438943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 442653, 1770604, 3983855, 7082406, 11066257, 15935408?\n\"Answer: 442650*q**2 + q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**3 - 22*t**2 + 2*t - 41. Let r be s(22). Solve 0 = r*x + 1 + 5 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -107, -201, -281, -341, -375?\nAnswer: -377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, t: 2, j: 4}. Give prob of sequence ejj.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 + 336)*(-600)\/(-180). What is the highest common divisor of 96 and t?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/10 and -43\/166998.\nAnswer: 834990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1026561 - 1026558. Factor 4\/5*o + 0 + 1\/5*o**2 - 1\/10*o**r.\nAnswer: -o*(o - 4)*(o + 2)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, g: 4, b: 3, m: 4, s: 1}. Give prob of picking 2 b and 2 g.\nAnswer: 18\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -55, -55, -51, -43?\n\"Answer: 2*l**2 - 6*l - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 112 + -106. What are the prime factors of -11 + c - 209\/(-1)?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-5)*(50 + 5)\/11?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2257 - -2257.00048. What is s rounded to 3 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*l**2*m**3 + 4*l**2*m**2 + 5*l**2*m*o + 15*l*m**2*o + 4*l*m + 311*l*o + 1610026*m**3*o + 3*m**2*o wrt m?\nAnswer: -12*l**2 + 9660156*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-26)\/(-2)*14\/(-24)*486\/(-1134)\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/3, 0.33, 0.5, -0.4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 - 6*l**2 + 9*l + 1. Let u be (-5 + 9)*(2 + -1). Let q be g(u). What is the second smallest value in -4, 2, -0.14, q?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42900 divided by -21450.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**2\/4 + 99237*u\/4 - 99235\/2.\nAnswer: -(u - 99235)*(u - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5 - (-8 - (-4 - 9)). Solve -7 = 4*m + 4*t + 5, 4*m - 2*t + 18 = h for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-9)\/6 + -4 + 212\/24 - 3. Which is the nearest to -3? (a) -3 (b) 1.3 (c) -0.2 (d) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 0*o = -3*u + 24, -4*u = 2*o + 34. What is the units digit of (-2 - o) + (5 - 6)*-4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55664906?\nAnswer: 2, 11, 2530223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1321001020313 - 12?\nAnswer: -1321001020331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xzhxahhaz. Give prob of sequence hhxh.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -216, -232, -268, -330, -424, -556?\nAnswer: -732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -61 + 41.5. Let v = 6 + b. Round v to 0 decimal places.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*q - 37*q**2 + 121*q**2 + 3*q - 10*q**2 in the form w*q + j + d*q**2 and give d.\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ootyutoo. What is prob of sequence oyu?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 5*r - 8 = -j, 0 = -4*j + r - 19. Is j\/(-16) - -17*(-3)\/(-4) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*o**3 + 8*o**3 + 45*o + 181*o - 2*o**2 + 0*o**2 - 26*o to i + k*o + f*o**3 + p*o**2 and give k.\nAnswer: 200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.81 - 138679130?\nAnswer: -138679128.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -2*t**2. Let l(f) = -45*f. Determine r(l(z)).\nAnswer: -4050*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 2*y**2 + 2*y**2 + 3 - 2. Suppose 2*u + 18 = 5*c - 66, c - 22 = 3*u. Let s be 5 + (-26)\/8 + 4\/c. What is z(s)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 131968?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:13 PM and 4:50 AM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 227 a factor of 2056082?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 202 - 198. Suppose 7*r = 2*r. Suppose r = i*l - l - 4080000. Round l to the nearest 100000.\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -6*n + 5*n - 4*t, -6 = -2*n + 3*t for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -94 - 88 - (-82 + -7).\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 4*d + 319534256 = 0, d + 191720548 = 2*g + g. Suppose 5*o = g + 27593152. What is o rounded to the nearest 1000000?\nAnswer: 18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(187)*-6)\/(sqrt(55)\/(sqrt(10)\/sqrt(2))) - ((sqrt(119)*1*1 - sqrt(119))\/((sqrt(847) - (sqrt(847) + sqrt(847)*2)) + sqrt(7)))**2)*3.\nAnswer: 36*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**3 - 6*h**2 - 2*h - 3. Is y(-6) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**2 - y - 2. Let t = -4 + 7. Let a = 10 - t. Let f(r) = r**3 - 8*r**2 + 8*r - 5. Let x be f(a). Calculate b(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -38 - -7. Let k = -13 - h. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 50508, 50522, 50550, 50592, 50648, 50718?\nAnswer: 50802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 4*l**2 - 11*l. Let b(n) = n**3 - 3*n**2 + 10*n. What is 4*b(g) + 3*t(g)?\nAnswer: 4*g**3 + 7*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 917.7866mm to micrometers.\nAnswer: 917786.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - -25. Let g(v) = -t*v + 10*v + 15*v. Let u(x) = 10*x. Give g(u(m)).\nAnswer: 10*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*q**3 - 6489*q**2 - 51693*q + 58185 = 0. Calculate q.\nAnswer: -2155, -9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 155 divided by -31\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 2*i**2 - 3*i + 14. Let s(g) = -4*g**2 + 10*g - 50. Let j(u) = -5*u**2 + 12*u - 60. Let v(w) = -5*j(w) + 6*s(w). Determine x(v(h)).\nAnswer: 2*h**4 - 3*h**2 + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 divided by 4?\nAnswer: 27\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14a4 (base 15) to base 9.\nAnswer: -6061","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-4)\/26*((-204)\/(-3128))\/((-12)\/(-50)) and -28\/345.\nAnswer: 8970","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4\/9 (b) -34 (c) 0.07 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 28, 54, 80, 106, 132?\nAnswer: 158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/(v\/(v\/v**(-1\/5))*v*v))\/v*v\/v**(-3\/2))**10)**(3\/22) assuming v is positive.\nAnswer: v**(21\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*i + 2*y + 28, 0 = 5*i + 2*y + 14 - 31 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 136 and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 22330 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 2*h. Let o(m) = -956*m - 109. Let b(v) = -338*v - 36. Let r(p) = -17*b(p) + 6*o(p). Determine k(r(q)).\nAnswer: 20*q - 84","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.066 and -0.195133?\nAnswer: -0.012878778","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*z = 30 - 74. Let t = 11 - z. Solve t*a + 15 = 14*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12a1278 (base 12) in base 16?\nAnswer: -385a3c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the third derivative of u**7\/490 - 3*u**6\/140 + 13*u**5\/140 - 3*u**4\/14 + 2*u**3\/7 + 596*u**2. Find z such that r(z) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 5, o: 3}. Give prob of sequence aoo.\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 112 and 400?\nAnswer: 2800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 6026.52984 rounded to the nearest ten?\nAnswer: 6030","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4675788?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79625 is divided by 32.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**3 + 10*j**2 - 4*j - 9. What are the prime factors of x(-4)?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*x**4 - 58*x**3 - 162*x**2 - 158*x - 52 = 0. Calculate x.\nAnswer: -26, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, -1\/15, 3, 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 7 = 5*f - 6, 3*f = 5*w. Suppose -5*d = -f*j - 25, -5*d = 2*j - 0*j - 4. Determine u, given that 36*u**3 - 3*u**2 + 9*u**2 + 15*u**4 + 6*u**d = 0.\nAnswer: -2, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**2 + 6*q - 7. Let z be v(4). Let m be ((z - 0)\/3)\/(-1). Let p be (-15)\/(-105)*(-28)\/(-6). Which is the nearest to p? (a) m (b) -4 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -29078 divided by -14539\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -125.64779 to 1 decimal place.\nAnswer: -125.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**2 - 5*b - 23. Let w be (-9 - 0)*(-18)\/81 - -6. Let y be x(w). Let o be 111\/15 + y*6\/10. Calculate the greatest common divisor of 1 and o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes after 10:45 PM?\nAnswer: 2:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 - 6) + (0 + -8 - (-18 - (-15 + 3)))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 not equal to -21\/9328?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-22)\/(-336) + (-11)\/(-88). Let p(y) be the first derivative of -2 - a*y**3 + 0*y**4 + 2\/7*y + 0*y**2 + 2\/35*y**5. Factor p(d).\nAnswer: 2*(d - 1)**2*(d + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -553247*n**3 - 2*n**2 - 3526548*n.\nAnswer: -3319482*n - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -10 + -206\nAnswer: -216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 476563.\nAnswer: 31, 15373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(2 - (-3 - -6)). Let s = -6 - i. Sort s, 1, 0, -4 in increasing order.\nAnswer: s, -4, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**2 - 9*h - 730. Let b be f(-23). Let z(n) = n**2 + 7*n - 6. Let v be z(-10). Calculate the highest common divisor of v and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -9*r + 1. Let t be q(3). Let z = -26 - t. Suppose 5*y - 100 = -4*i, z*i = y + 3*i - 31. Solve 24 = -2*g + 4*b, -b - 3*b + y = 2*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6179 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 462\/84 + 2\/(-4). Suppose 0 = -3*f + 2*l + 2*l + 2806, 0 = 2*f + g*l - 1863. What is the hundreds digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, q: 9, m: 1, n: 3}. Give prob of picking 3 m.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0007658546 to 4 decimal places.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9.9 - -42.9. Let h = 37 - j. Suppose 4 - 1 = -v. Which is the second biggest value? (a) 2 (b) v (c) h (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -11*x**2 + 277*x + 877. Calculate c(-3).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 3 times 878.351\nAnswer: 2635.053","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.1, -0.5, 2\/3, -3, -0.0189?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4498?\nAnswer: 2, 13, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -48 + 145\/3. Let n = -0.03 - 0.97. Are n and w non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1492152257 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -22.709 to 0 decimal places.\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 + 2)*(p + 9*p - 12*p + 3*p**5).\nAnswer: 3*p**5 - 2*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -43 - (80 - (122 + -67))\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:56 PM and 1:23 AM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes after 4:31 PM?\nAnswer: 2:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 247*s**2 - 2. Let z be j(-1). Calculate the common denominator of 49\/9 and ((-98)\/z)\/((-9)\/125).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - 5) + (4 - (15 - 1))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4958995?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -2*d**5\/7 + 112942*d**4\/7 - 790386*d**3\/7 - 6211294*d**2\/7 + 14341988*d\/7 - 7453248\/7 = 0.\nAnswer: -6, 1, 11, 56464","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -r + 7. Let p = r + 40. Is p a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 divided by 448.\nAnswer: 5\/224","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 9*r**2 - 18. Let s(u) = -14*u**2. Determine z(s(h)).\nAnswer: 1764*h**4 - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9450 - -15581. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x - 315. Let n(s) = -51*s**2. Calculate n(m(h)).\nAnswer: -51*h**2 - 32130*h - 5060475","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 410 + 6705. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 5)*(-4*r + 6*r - 3*r) - 4*r + 4*r - r + 44*r + 37*r + 29*r - 85*r.\nAnswer: 23*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -10a5 - 0?\nAnswer: -10a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 37 = m + 2*m, -2*m = 2. Let b(g) = g + 2. Let a be b(6). Calculate the highest common divisor of f and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b + 4. Let c be f(-7). Let r be 0 - (c + 11)\/(-2). Solve 4*y + 0 = -r for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*u**5 + 16*u**4 + 1533*u**3 + 346783*u**2 wrt u?\nAnswer: 120*u**2 + 384*u + 9198","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-2)*f\/(f*f**29) assuming f is positive.\nAnswer: f**(-31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-19)\/(-4 + 3*(-620)\/(-468)). Let z = p - -284. List the prime factors of z.\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 3*q - 14, 5*q = -0*q - 5*o + 70. Suppose q*g + 22770 = -g. What is g rounded to the nearest 100?\nAnswer: -2100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17452838 divided by -79.\nAnswer: 220922","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -16811.4 at least as big as 5\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25 divided by -6.\nAnswer: 25\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -277 - -291. Solve -10 = -4*h - 3*u + r, -3*h + 5*u - 11 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 5*m = 180. What is the remainder when 55 is divided by m?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the second derivative of -5*h**7\/42 + h**4\/12 + 10*h. Find the third derivative of v(u) wrt u.\nAnswer: -300*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g + 12. Let b be (-24)\/(-11) - (-10)\/(-55). Suppose c - 15 = -b*c. What is the remainder when l(0) is divided by c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g. Let s(k) be the first derivative of -1\/3*k**3 + 0*k**4 + 0*k + 2 + 1\/40*k**5 + 0*k**2. Let r(z) be the third derivative of s(z). Give l(r(w)).\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 99 = -21. Is (-18)\/b - 246\/(-8) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2047771?\nAnswer: 11, 186161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1217*u**2 - 14510*u + 14510*u.\nAnswer: 1217*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**25\/s**6)\/((s\/(s\/s**(1\/15)))\/(s*s*s\/(s*s**(9\/7))*s)) assuming s is positive.\nAnswer: s**(2168\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7545 is divided by 28.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 912917926 at least 912917926?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3059032 to the power of 1\/2, to the nearest integer?\nAnswer: 1749","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 2 c when four letters picked without replacement from tcxttxttxttcxxxx?\nAnswer: 3\/260","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = 5*s - 33, -5*s = -3*m - 0*m + 51. Suppose -2*z + z + 6 = t, z = -3*t + 22. Suppose 320 = m*c - t*c. Is 40 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 152301 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - (-4 - (2 - 4))) + (231 - 226).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 3 w when four letters picked without replacement from neggwwggegywe.\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - 8*w = 8, 3*z + 17*w + 6 = 14*w for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 4*f = -5 + 2, -2*f = 4*o - 6. Let t(q) = 2*q**2 + 3*q + 5. Let s be t(-4). Suppose -6*v + 2*v + 2*d + 42 = 0, o*v + 5*d = s. Is v a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6445528 to the nearest integer?\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/16)\/((-1304)\/(-140832))*(-4)\/(6*-6).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**15\/(h\/((h**(-6)*h*h)\/h))*(h**(-2\/19))**(-7) assuming h is positive.\nAnswer: h**(185\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1*30 - (-1 - 1). Suppose -2*n + 3 = 2*j - 13, -4*j + w = -5*n. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2070.\nAnswer: 2, 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -4*u**3 + u**2. Let p(r) = -217*r**3 - 7*r**2 + 15*r - 14. Let o(v) = -5*l(v) - p(v). Is o(1) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (62*f**2 + 104*f**4 - 62*f**2)*(-1 - 1 + 0)*(4*f - 3*f - 3*f) + (-1 + 1 + 2*f)*(3*f**4 - 3*f**4 - 2*f**4) + 4*f**5 - f**5 - 2*f**5.\nAnswer: 413*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes before 3:32 AM?\nAnswer: 6:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.0517 - -0.0483. Is k != -35?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(3 + ((sqrt(363) - (sqrt(363) + 0)) + -4)**2*-5 + -1).\nAnswer: -390","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 481 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 759, 1583, 2407, 3231?\nAnswer: 4055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes before 11:40 PM?\nAnswer: 12:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 245 - 241. Suppose -9*s + 95 = -k*s. What is the remainder when 33 is divided by s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1344 divided by 16\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -z**2 - 11307493*z + 56537490 = 0.\nAnswer: -11307498, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -0.5 (b) 4 (c) 0.01 (d) -12.06 (e) -0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 + -11110101?\nAnswer: -11110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 217293 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence el when two letters picked without replacement from {e: 5, p: 3, l: 3, k: 6}?\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -433 - 2321*s + 2204*s + 430.\nAnswer: -117*s - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(126)\/(sqrt(6)*3))\/sqrt(7))**2.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 181.065954 rounded to the nearest 10?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-3))\/((6\/4)\/3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -52*((-2)\/4)\/((-13)\/26). Let k be -3 + 130\/t*13\/(-10). Put k, 1\/3, -12\/7 in descending order.\nAnswer: 1\/3, k, -12\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -136*r - 49. What is the units digit of c(-8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbbbbbbabsbsajsjjs. Give prob of sequence aa.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -4*n - 170*n**2 - 3 + 6*n - n**3 + 173*n**2 + 0*n**3. Suppose -1 = -4*m + 3*d + 8, 5*m - 11 = 4*d. Suppose b + m = -p + 9, b - 3 = 0. Determine j(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1480 divided by 296.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -1055296588 at least -1055296590?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.558 + 0.211. Let p = 0.547 + q. Let o = 4613\/11 + -419. Which is the second biggest value? (a) 2\/5 (b) o (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 3*i + r, -5*r + 11 = i + 4. Let f(v) = 18*v - 37. Calculate f(i).\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8 - 2*a + 7 - 18*a**3 - 1 - 2 + a**2 wrt a.\nAnswer: -108*a + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3052123.05 rounded to the nearest one hundred?\nAnswer: -3052100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*y**3 + 2121*y**2 - 1174*y + 3 wrt y.\nAnswer: -24*y + 4242","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 2 + 5 = -3*v, 0 = 5*t + 3*v - 21. Let w be 3*4\/18*3. What is the smallest common multiple of t and (3 - w)*(0 + 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1\/2)\/r)**(-20)*(r**5\/r)\/r**(-1) assuming r is positive.\nAnswer: r**35","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -263456015 rounded to the nearest 1000000?\nAnswer: -263000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rredhhdhhdedxrre. What is prob of sequence exrd?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2605\/4 + 651. Which is the closest to -0.1? (a) p (b) -0.5 (c) -2.4 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2144647?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(720)*3.\nAnswer: 1 + 36*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**3)**(2\/21)\/(d*d\/(((d**(-4)*d*d)\/d)\/d)*d)**9)**(-15) assuming d is positive.\nAnswer: d**(6585\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9592055*n**2 - 9591788*n**2 - 10*n + 2*n + 3*n + 5*n.\nAnswer: 267*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16752)\/(-6980)*10\/8.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 - 0. Suppose 0*b = b + c. Let w be 14\/3 - b\/6. Solve 0 = -t + 3*t + w*y + 19, 2*t + y = 1 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:13 AM and 12:59 PM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 8 = 3*n. Find the third derivative of 25*j**2 + 9*j**4 + 4*j**4 + 22*j**n + 47*j**2 wrt j.\nAnswer: 840*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**2. Suppose 0 = -5*l + w + 49, -4*w = -l + 4*l - 34. Suppose 0 = -l*i + 12*i - 36. Let u(n) = 2 - 1 - 1 - i*n**2. What is u(c(q))?\nAnswer: -18*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 292296673 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -23*o. Let w(v) = 2*v**2 + 5. Let c(q) = -3*q**2 - 7. Let m(l) = 5*c(l) + 7*w(l). Determine y(m(p)).\nAnswer: 23*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 20722234 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 810?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(84) + (sqrt(84) + -1*sqrt(84) - sqrt(84))))\/sqrt(12).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -1144*s + 109837. Determine h(96).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u**4\/7 + 438*u**3\/7 + 874*u**2 - 438*u\/7 - 6120\/7 = 0. Calculate u.\nAnswer: -204, -15, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w + 4*a - 17, 0*a + 3*a + 45 = w. Suppose 5*s = 138 - w. Solve o + 4 = 5*y + s, 4*y = 4*o - 4 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14*-4*(-374)\/(-5423)*(-58)\/8?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqqqnqqqqkqqqqqn. Give prob of sequence nk.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000013363137 rounded to six dps?\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.5*1545.18.\nAnswer: -2317.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 39 = 4*h. Let j(y) = -y**2 - 8*y + 2. Let i be j(-7). Let l = h + i. Put l, -5, 0 in increasing order.\nAnswer: -5, l, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**2 - 11*d + 50. Let s be h(3). Calculate the greatest common factor of 39 and s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1045326025.\nAnswer: 5, 29, 79, 18251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**2 - 6*l - 8. Let w be y(6). Let b = w - -15. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11140 divided by -1?\nAnswer: 11140","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16930?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110110001 - 1000001000110000?\nAnswer: -1000000001111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3330321111 + -20111?\nAnswer: 3330301000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53424*h - 106871*h - 9*h**2 + 53447*h - 2*h**2.\nAnswer: -11*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -47*a + 47*a - 4*a**2 + a**2. Let w(v) = -3*v - v**2 + 3*v. What is w(n(m))?\nAnswer: -9*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15741.8717 - -15741. Round v to 2 dps.\nAnswer: -0.87","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a litre in millilitres?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u = -2, 375*x + 3*u = 372*x - 12 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes before 8:32 PM?\nAnswer: 4:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y - 4. Let o be g(-9). Suppose 3*f + i - 7 - 2 = 0, -2*f + 6 = -o*i. Solve 0 = h + f*h + 20 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 + 11*x**2 + 2*x + 5. Determine o(-11).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a**5\/6 - 76292*a**4\/3 + 2440871*a**3\/3 - 5949400*a**2\/3 - 39053167*a\/6 - 11060020\/3 = 0. What is a?\nAnswer: -1, 5, 29, 152552","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 minus 26095860095.3492?\nAnswer: -26095860095.7492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 2*b**5 + 99820*b**4 + 299406*b**3 - 1796644*b**2 + 399304*b + 2395536 = 0?\nAnswer: -49907, -6, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -4647, -4641, -4623, -4587, -4527, -4437, -4311, -4143?\n\"Answer: j**3 - j - 4647","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 4*m = 30. What is the third derivative of 8*a**m + 5*a**2 + 6*a**5 - 15*a**5 wrt a?\nAnswer: -60*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*t = 2*c - 4*t + 27*t - 71, c + 8*t - 118 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 6, 15, 24?\n\"Answer: 9*v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12302699081 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.5 from 8220.\nAnswer: 8219.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 2*v + 3. Let o be u(-3). Let m be o\/(-6)*10 + 0. Let f = -0.6 - -0.2. Which is the closest to -1? (a) -0.3 (b) m (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1 (b) 7 (c) 1\/4 (d) -5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*k**2 - k**3 + 2 - 42*k**2 + 2*k**3 to the form y*k**2 + h*k**3 + v*k + q and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -3*b**2. Let i(v) = 339*v**2. Determine r(i(y)).\nAnswer: -344763*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 3, r: 7, u: 4, i: 1, l: 3}. What is prob of sequence uzuz?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*n - 1224 = -1770 for n.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - t + 128 = 0. Let u = t - 29. Is 515\/u - 2\/(-7) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 8*f + 10. Determine s(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 459 and 7911.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4881?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qvesnscqvqqs. Give prob of picking 2 v and 1 q.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2.5 (b) -7 (c) 0.22 (d) 0.0055\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**2 + 5*r + 10. Let h(k) = 4 + 2*k**2 + 3 - k**2. Let z be h(0). Let j be y(z). Which is the third smallest value? (a) -3 (b) j (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 328*a**3*l**3 - 891*a**3 + a**2 - 14258*a*l**2 - a*l - 2*l**3 - 2*l + 1 wrt a?\nAnswer: 1968*a*l**3 - 5346*a + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, 124519, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes after 1:19 PM?\nAnswer: 2:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 174161064 divided by 2638804?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -3*(sqrt(24)\/sqrt(8)*1 - sqrt(3) - (sqrt(108)\/sqrt(3))\/sqrt(12))*4.\nAnswer: 4 + 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/58976 and -59\/31040.\nAnswer: 589760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30 and 702\/(-819)*(0 - 34 - 1).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the second derivative of -i**4\/12 + 2*i + 19. Let w(m) = m**2 - m + 1. Let f(v) = 36*v**2 - 27*v + 27. Let a(p) = f(p) - 27*w(p). Give u(a(t)).\nAnswer: -81*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10.514 - -0.086. Let k = g + -10.462. Let f = k + -0.025. What is f rounded to two decimal places?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*g - 7*g = 14. Suppose 3*d - 3*k + 4*k = 53, -d = g*k - 26. Let p = -18 - -30. Calculate the remainder when d is divided by p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12632 + -12487. Solve -85 = 30*y - b for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -39\/14232901 and -43\/6?\nAnswer: 85397406","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 6 = -2*i. Let t be -1 + -9*(-1)\/(-1). List the prime factors of 3\/(-2)*t\/i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - l)*(911*l**2 - 63*l**4 - 911*l**2) + (2*l + 3 - 3)*(-l**4 - 3*l**4 + 3*l**4) + 5*l - 5*l - l**5.\nAnswer: 60*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 75*f - 613. Let k be w(7). What is the closest to -3 in -5, 1\/4, -2\/19, k?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 7, f: 2}. Give prob of sequence ff.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - i + 109 = 0, i = -5*t - 0*i + 185. Suppose -24 + 11 = -z. What is the remainder when t is divided by z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the second derivative of -4*f - 5*f**3 + 14*f**2 + 1\/6*f**4 - 4. What is p in j(p) = 0?\nAnswer: 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2861809.91 rounded to the nearest 100000?\nAnswer: -2900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvu when three letters picked without replacement from huhhzzvvh.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 142 = 4*n, -2*x - 2*n + 136 = -0*n. Suppose 101*q - 97*q + 12 = 0, 4*q = -3*d + 12. What is the remainder when x is divided by d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**3 + 19*d**2 + 3*d - 12. Give g(19).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4\/(-10))\/(20\/(-250)). Let v be -3*(-1 + 4\/(-6)). Solve h*p + 25 = 0, v*p = 3*m + 2*p - 3 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23214520 (base 7) to base 10.\nAnswer: -2037679","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 3*k = 16, -2*p + 18 = 3*p + 4*k. Suppose 5*m + 38 - 196 = -p*n, 0 = 5*m + 10. What is the tens digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/2 + 5 + 0. Suppose -k + 15 = -d. Is 7 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10931 by 18.\nAnswer: 10931\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/8, 1, -10\/3, -1 in ascending order.\nAnswer: -10\/3, -1, 1\/8, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -87*w**3 - 2*w**2 - 2*w - 2. Let h be y(-2). Is (-3)\/(-2)*(h\/(-9))\/(-5) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 2*n - 0*n - 13, -41 = -4*n - 5*w. Suppose o = -n*l - 38, l + l - 4*o + 28 = 0. Is (-3268)\/(-20) - (-4)\/l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 - c083?\nAnswer: -c083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -0*q - 348. Let n = -236 + q. What is the greatest common divisor of n and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) -0.4 (c) -260\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that h**5\/2 + 31*h**4\/2 - 10947*h**3 - 54974*h**2 - 88076*h - 44064 = 0.\nAnswer: -162, -2, -1, 136","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 644575?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in five quarters of a microgram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*q**2 + 2136*q**4 + 3*q**3 + 5*q - 1066*q**4 - 1069*q**4.\nAnswer: q*(q - 1)**2*(q + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**2 + l - 1. Let f = -4 + 9. Let v(i) be the third derivative of i**5\/30 - i**4\/8 + i**3\/3 + 1023*i**2 + 2. Calculate f*w(g) + 2*v(g).\nAnswer: -g**2 - g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3584 divided by -1.\nAnswer: 3584","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.2200012 - -0.22. What is q rounded to seven dps?\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 34393752\/6048 + 1\/6. Let p = -5683 + x. Find the common denominator of p and -13\/35.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 43211102 to the nearest integer?\nAnswer: 351","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**3 - 4*b**2 + 4*b - 3. Let o = 29 + -17. What is the lowest common multiple of o and x(-5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the second derivative of 13*i**7\/1260 + 7*i**6\/720 + 13*i**5\/120 - 41*i**4\/12 + 43*i. Let g(w) be the third derivative of u(w). Is g(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 3587.177 years?\nAnswer: 358.7177","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.338 - -0.258. Put -3\/10, g, 2\/19, -5\/3 in ascending order.\nAnswer: -5\/3, -3\/10, g, 2\/19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 2*t = 47, p + 3*t = 8*t + 82. What is the remainder when p is divided by 142\/7 + 2\/(-7)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_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: What is 0.0001808 rounded to five dps?\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 2)*(1001\/65)\/11.\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p + 13 + 35. Calculate the common denominator of -56\/9 and (-4)\/1 + ((-737)\/p)\/(-11).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**3 + 17*y**2 - 70*y - 2. Let g be -2*(-8)\/((-96)\/(-18)) - -14 - 7. Determine w(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1235*s**5 + s**4 + 2133*s.\nAnswer: 24700*s**3 + 12*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1687223?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -120*m**3 - 2*m - 2. Let u be w(-1). Let j = -116 + u. Let z be 14\/(-24) - 2\/(-6). Which is the closest to -3? (a) j (b) 3 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v + 14 - 39. Let s(a) = -5*a - 25. Let z be s(-6). Suppose 0 = z*l + 26 - 6. Sort -1, l, v, 1.\nAnswer: l, -1, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 + -6. Let y = 2.99 + 0.01. Let w = y + b. Is 1 bigger than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the second derivative of 0*w**4 + 0 + 0*w**6 - 7\/6*w**3 - 13*w + 11\/42*w**7 + 0*w**5 + 0*w**2. Find the second derivative of x(g) wrt g.\nAnswer: 220*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-1)*3*(-16)\/288\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -41 - 93. Let k be -4 + r\/(-26) + -1. What is the nearest to 0.1 in 4, -1\/2, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -546 + 842. Let g = 302 - h. Solve g = u + 9 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 311 a multiple of 77?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (a + a - 3*a)*(-1 + 3 + 2)*(7 - 7 - 15*a**2) in the form b*a + q*a**3 + z*a**2 + f and give q.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sum 495 and -779.\nAnswer: -284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1436258694 to the power of 1\/3, to the nearest integer?\nAnswer: 1128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -219276 divided by 2\nAnswer: -109638","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 495827 or 495810?\nAnswer: 495827","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 289*g + 3411 = -192*g + 102*g for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z**4 + 576*z**3 + 566*z**2 - 2304*z - 2296 = 0. What is z?\nAnswer: -287, -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 649 divide 97594426?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6057?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*h - 18 = 4*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11469.\nAnswer: 3, 3823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 25720.5347 from -3.\nAnswer: -25723.5347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y + 1 - 0. Let t be 6*(y + 3\/6). Is t + 0 - (-1 - 23) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 391568439 is divided by 5404.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9827?\nAnswer: 31, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 0*i - 31 = 4*l, 5*i = 4*l + 41 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide (36\/(-10))\/((-204)\/(-510)) + 2403?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -3*p + 5508, -5505 = -3*p + 166*x - 164*x. What is the remainder when p is divided by 115?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(18) - 1*sqrt(1800))\/(4*sqrt(216)).\nAnswer: -3*sqrt(3)\/8 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 5*s + 3, -4*q = -4*s + 7 - 19. Suppose -v + 21 = q*w, -2*v + 6*w - w + 3 = 0. Calculate the remainder when 25 is divided by v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*p + 18 + 14*p + 23 - 70 + 24 to the form o*p + g and give o.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-1*sqrt(30)*5)\/(2*sqrt(1210)) - (sqrt(168)\/sqrt(7)*5)\/((sqrt(88)*-3)\/sqrt(11) - sqrt(8)).\nAnswer: 115*sqrt(3)\/44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 42\/5 of a tonne?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 15\/640688 and 61\/188028.\nAnswer: 17298576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -1\/4, 1623, -2\/13?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -711*f + 4726 - 4726 in the form l + h*f and give h.\nAnswer: -711","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 - -14. Let s(b) be the first derivative of -1 - 3*b**4 - 1\/3*b**i + 8\/5*b**5 - b**2 + 0*b + 8\/3*b**3. Factor s(v).\nAnswer: -2*v*(v - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6251 (base 11) to base 14\nAnswer: -303a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the second derivative of q**5\/20 - q**4\/3 + q**3\/2 + 2*q**2 - q. Let z be m(3). Let h(j) = 5 + 0 - 3 - z*j + 4*j**2. Give h(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1983 + 1997. Solve 0 = -l*b + 12*b + 4 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.3 - -0.2. Let q = -7.4 - -7. Let c = q + z. What is the closest to -0.2 in c, -0.2, -1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - 1344892072372.4?\nAnswer: -1344892072370.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kma when three letters picked without replacement from {a: 3, d: 2, k: 3, m: 6, n: 6}.\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(-5) - 432\/(-15). Suppose 0 = 4*q - o - z, -4*q - 3*o - 5 = -14. Calculate the remainder when q is divided by -1 - (9*-1)\/3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 - 15*m**2 - 8*m + 117. Give q(-4).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1115.\nAnswer: 5, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 5*m**2 - m + 1. Let c = -143 - -144. Let a(r) = -r**3 - 7*r**2 + 7*r - 7. Let f be a(-8). Let o(j) = j - 1. Determine c*o(x) + f*n(x).\nAnswer: 5*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*b**3 + 17277*b - 17315*b - 28*b**3 to the form d*b**3 + o*b + p*b**2 + c and give o.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, s: 1, e: 1, i: 1, v: 3}. Give prob of sequence vivv.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 947541 to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16785 - -956710\/57. Calculate the common denominator of -30\/11 and w.\nAnswer: 627","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1117104202?\nAnswer: 2, 19, 71, 414049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.2 (b) 2\/1345 (c) -4 (d) 113\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:52 AM and 4:56 AM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 645 - -305?\nAnswer: 94a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 4622.266ug?\nAnswer: 0.004622266","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -150838, -151084, -151330?\nAnswer: -151576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 2*h = -144, -2*y + y = -4*h - 45. List the prime factors of y.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that x**2\/4 - 31*x\/2 - 32 = 0.\nAnswer: -2, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.02 + -0.02. Let r be 134\/(-469) + (-4)\/(-7). Which is the second smallest value? (a) r (b) 4 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -35, -90, -219, -458, -843, -1410?\nAnswer: -2195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 9*j**3 - 1. Calculate the lowest common multiple of 12 and g(1).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 84270?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -205*l - 9. Let u(c) be the third derivative of -103*c**4\/24 - 5*c**3\/6 - 4*c**2. Let a(z) = 6*s(z) - 11*u(z). Is a(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**2 - 7*z - 4. Let q be k(8). Let b be 17\/q + (-6)\/24. Solve -10 = b*w - 9*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -83956 and 0.0782.\nAnswer: -6565.3592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -74659, -298977, -672841, -1196251, -1869207?\n\"Answer: -74773*w**2 + w + 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is 0.3802818 milliseconds in microseconds?\nAnswer: 380.2818","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.341 and -1687.\nAnswer: 575.267","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 45*f. Let h be w(1). Let n be (-9)\/h - 22\/(-10). Let c be (-2)\/(-10)*(-145)\/(-2)*n. What is the greatest common divisor of c and 261?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 23363233*m + 8116959 wrt m.\nAnswer: 23363233","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 + 21. Let i(o) = 4*o + 11. Is i(h) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.8 - -2. Let k = -1.2 - -0.2. Let j = -187 - -187.5. Which is the nearest to k? (a) j (b) q (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 105*u**4 - 1795*u**3 - 101*u**2 - 2*u + 250.\nAnswer: 2520*u - 10770","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33464 is divided by 9391.\nAnswer: 5291","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -901, 4\/5, 5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -2*d**3 - 4*d**2 + 28*d - 6. Let h(s) = -s**3 - s**2 - 2. Let g(m) = h(m) - i(m). What is g(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1823?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (1573\/221 - 7) + 66\/17\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2967*i + 3143*i = 880 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = n - f, 5*n + 8*f - 94 = 4*f. Suppose v = -5*d + n, -v - 3*d = -17 + 3. Suppose 5*a + v*g - 4*g - 28 = 0, 3*a - 3*g = 15. Solve 3*y = 6*y - a for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) 2 (c) -3\/5 (d) -1\/75 (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -11, -44, -91, -158, -251?\n\"Answer: -y**3 - y**2 - 23*y + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - m = -30, 3*m + 25 = -2*m. Let a(s) be the first derivative of -s**2 + 9*s - 112. What is a(r)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -3*u**3 - 3023154*u**2\/5 + 22372119*u\/5 - 8465142\/5 = 0.\nAnswer: -201551, 2\/5, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1035 and 2001?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -59513 + 107900. Is 127 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (37*z + 4*z**2 - 37*z)*(5 - 5 - 3*z**2).\nAnswer: -12*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (-1)\/(56\/161)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*c - 3*c**2 - 14*c + 5*c**2 + 20*c.\nAnswer: 2*c**2 - c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(3\/4)*h*h\/((h**(-5\/7)\/h)\/h*h))\/(h**3*h)**(2\/11) assuming h is positive.\nAnswer: h**(1151\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (80\/(-64))\/(75\/(-20)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the third derivative of q**4\/24 - q**3\/6 + 2*q**2 - 10*q - 1. Let h(x) = -1. Give -5*h(l) + 2*w(l).\nAnswer: 2*l + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 212 (base 3) to base 5\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 174*t - 1397 - 691 for t.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 2 + 3)*(3*c - 5*c + 4*c) + 15*c - 4*c + 3*c)*(0*c**2 + 6*c**2 + 3*c**2).\nAnswer: 162*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2ddb + 4?\nAnswer: -2dd7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 3 - (-16 + 6 + 9 - 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 3*g = 4*r - 19, 5*r - 27 = -g. Let q(u) = r + 4*u + 1 - 5*u. Let v(c) = -c**3 - c**2 + c + 4. Let n be v(0). Give q(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1+0.01\nAnswer: 1.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the third derivative of -y**4\/24 - 4*y**2. Let g be o(-2). What is the second derivative of -83 + 6*k + 83 + 5*k**g wrt k?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31788?\nAnswer: 2, 3, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 21*q**3 - 24*q**2. Let g(x) = -42*x**3 + 48*x**2. Let v(u) = 5*f(u) + 3*g(u). Find the third derivative of v(l) wrt l.\nAnswer: -126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the third derivative of -2*i**7\/105 + 3*i**4\/2 + 341*i**3\/6 + 328*i**2. What is the first derivative of z(p) wrt p?\nAnswer: -16*p**3 + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 350 and 1707125?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -10 (b) -1\/5 (c) -0.01 (d) 4 (e) 10\/53 (f) 16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -174534*x**2 + 241765 with respect to x.\nAnswer: -349068*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -5*c. Let o be j(-1). Suppose 0*r + 2*r + 4 = -4*y, o = -4*r - 5*y. Solve -3*b + r*b - 12 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-39)\/(-91))\/(2\/42). Let v(y) = 3*y**2 - 6*y - 10. Let w(a) = -7*a**2 + 12*a + 20. Let i(j) = 5*v(j) + 2*w(j). Is 6 a factor of i(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 + -8.1. Let o = 0.243 + -6.243. What is the third smallest value in l, 2\/3, o?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -887, -3532, -7939, -14108, -22039?\nAnswer: -31732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 261547 and 1121?\nAnswer: 4969393","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 229.6656 micrometers in millimeters?\nAnswer: 0.2296656","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 592 and 925.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 13 + -130023?\nAnswer: -130010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 39 + -39. Factor h + 2\/5*s + 2\/5*s**3 - 4\/5*s**2.\nAnswer: 2*s*(s - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1448629.4 rounded to the nearest one hundred thousand?\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a + l = 219, 183 = 5*a - 37*l + 38*l. Solve -a = 37*m - 55*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 1)*(-7*x**3 + 3*x**3 + 3*x**3) - 3*x - 3574*x**3 + 3573*x**3 + 17 - 96.\nAnswer: -2*x**3 - 3*x - 79","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 + (34 - (13 - 11) - -1)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (493\/1479)\/(((-56)\/(-12))\/2).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1332 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 833066 divided by 2327?\nAnswer: 358","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes after 4:49 PM?\nAnswer: 2:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**3 + 11*t**2 + 17*t - 4. Let w be h(-9). Solve 0 = -5*f - x + 15, w*x - 4 - 5 = -3*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4063641?\nAnswer: 3, 1354547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/260 and 145\/12.\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 39043.1um?\nAnswer: 39043100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 29*g + 51595 = -28*g, -2*g = -4*f + 41276. What are the prime factors of f?\nAnswer: 17, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 divided by -284\nAnswer: -5\/142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 674991 is divided by 42177?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s + 1. Let i(m) = 50*m**2 + 150*m + 150. Determine -4*i(r) + 600*q(r).\nAnswer: -200*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -3*x + 4*x + 4*k, -2*k + 6 = 0. Suppose -7 = -4*b - r - 2*r, -r = -x*b + 15. Suppose b*m = -2*m + 60. Solve m = -3*t - 2*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 468760 is divided by 12329?\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -3*a - 1. Let o be (-2)\/(-6)*0 - -1. Let m = -5 + o. What is the units digit of t(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c + 9. Suppose -4*i + 52 + 0 = 4*z, 0 = -2*z - 4*i + 36. What is the tens digit of x(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f - 35 = 5*l, -7 = l + 5703693*f - 5703689*f for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 159 - 157. Let l(a) = a. Let q(c) = c**2 + 13*c. Let b(x) = w*l(x) - q(x). Let n(t) = -2*t. Calculate b(n(z)).\nAnswer: -4*z**2 + 22*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:22 AM and 10:09 AM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -199*y + 190*y + 612. What is the remainder when y is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -6 (b) -1\/7 (c) 202 (d) 0.1 (e) 3 (f) 0.005\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-3)\/(-9))\/(18\/4861). Let b = a + -820\/9. What is the common denominator of b and -99\/8?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide -8 + 4 + 25 + -3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 0.1 (b) 14 (c) -1 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, c: 5, m: 3}. Give prob of sequence ee.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 + -14. Let k = -12 + 10. Let n = k - s. Which is the nearest to 1? (a) 1 (b) n (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the second derivative of -1\/20*j**5 - 3\/2*j**2 + 3*j + 0 - 1\/4*j**4 - 5\/6*j**3. Calculate y(-3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11, 61, 195, 455, 883, 1521, 2411, 3595?\nAnswer: 5115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:31 PM and 11:15 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 315 (base 9) to base 4.\nAnswer: 10001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 26459557 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*v + 5*v + 90. Calculate the common denominator of v\/81 + (2 - 10\/4) and 57\/10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 122.3286 days in milliseconds?\nAnswer: 10569191040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*o - 13702 = 9581. What are the prime factors of -4 - -3 - (1 - o)?\nAnswer: 1789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iequeyuurqe. Give prob of picking 1 q and 1 y.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n - 5*n + 4*n)*(12634 - 18632 - 18563 + 1098 - 10527 - 6352).\nAnswer: 80684*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 29.5 - 29. Let l be 21\/476*(-10)\/15. Let n = l + 19\/68. What is the second biggest value in 11, n, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -570 + -a23b9?\nAnswer: -a2939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 2*q + 48. Let a be f(-22). What is the units digit of 166 + (11 + -3)\/a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 take away -211.3969076?\nAnswer: 207.3969076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*q - 1616 = -51*q. What are the prime factors of q?\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u**5\/9 - 2492140*u**4\/9 + 43130428588*u**3 - 43130151684*u**2 = 0 for u.\nAnswer: 0, 1, 311517","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -3*j - 2*j. Let i(f) = -f**3 + 4*f**2 + 2*f - 4. Let r be i(j). Is (1 + -28)\/(-5 + r) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8.7 + 8.771. Let m = -6.857572 + 6.92857279. Let z = m - t. Round z to 7 dps.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6233020?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/(m*((m\/m**(-3\/5))\/m*m)\/m)*m**(9\/4)*m*m\/m**(1\/2)*m\/(m\/(m\/m**7)) assuming m is positive.\nAnswer: m**(-57\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d - 2. Suppose -3*o - 53 = -182. Let z = -39 + o. Let r be t(z). Solve u + u + 10 = -n, n - r*u - 2 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00068405 to 4 dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3803 is divided by 123.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 28 and 42.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -3*l + 737, l - 253 = -12*v + 10*v. What is the hundreds digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 2*c**3 + 150*c**2 + 831*c + 178. Determine t(-69).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*g - 38 - 125 = -43 for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 193*z**2 + 882*z - 32. Determine r(-5).\nAnswer: 383","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3857313 and 1542?\nAnswer: 771","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 4 - 10 = 0. Let m(f) = f - 2. Let g be m(6). Suppose -5*k = -5*p + 5, -p - 1 = -3*k + 4. Solve a*w + 20 = -k*w - 5*q, -g*q = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*1*sqrt(325))**2 + -1)*5.\nAnswer: 58495","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -33 - (-2)\/(4\/2). Let t = -44 - j. Let s be (-8)\/t - 3\/(-36). Which is greater: s or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the second derivative of b**3\/3 - 3*b. Let y(x) = -x**2 - 17*x - 4. Let f be y(-13). Let w(h) = h - 48 + f. Give t(w(p)).\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 34.36 + 4.04. Round j to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 2*h**3 + 9*h**2 - 41*h - 42. Let f be j(-7). Solve -2*a - 2*n + 2 = f, -a - 3*n = -6 - 3 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -5, -33, 0.1, 44658\/5, -2?\nAnswer: 44658\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 25 and 205?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 1101958?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 112 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-47050)\/98805)\/(150\/(-28))?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1092, 7905, 26164, 61593, 119916, 206857?\n\"Answer: 954*m**3 - m**2 + 138*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + y - 1897211 = 1011192, y + 727107 = j. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 + -14. Let s = -42 - -24. Let f = t - s. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 10, 37, 64, 91?\n\"Answer: 27*r - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**2 + 11*z + 11. Let u(d) = -7*d + 97. Let c be u(15). What is j(c)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6327 is divided by 266.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/6 and -121\/846?\nAnswer: 846","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1013 + 4*h + 1013 + 4*h.\nAnswer: 8*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 418 and 11320846.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 4098?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86 = j - 3*a, 2*j - 3*j - 5*a + 62 = 0. Let c = 133 - j. Does 8 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -50*1\/(-4)*(-2)\/(-40)\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the first derivative of -1\/120*n**6 + 25\/3*n**3 + 0*n**2 - 1\/40*n**5 + 13 + 0*n + 0*n**4. Let v(i) be the third derivative of b(i). Factor v(o).\nAnswer: -3*o*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -134003334 (base 7) in base 14?\nAnswer: -122928b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - c = -4*l - 14, -c = 3*l - 2. Let s = -4 + c. Suppose 3*j = 2*j + s. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 670974 (base 11) to base 9\nAnswer: 2010637","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 377\/2 + -188. Let n = 98 - 96. Put b, n, 3, -0.2 in decreasing order.\nAnswer: 3, n, b, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 23616743 to the nearest integer?\nAnswer: 287","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 2) in base 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x. Let z(u) = -96*u - 15. Give z(c(t)).\nAnswer: 96*t - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -a + 1 - 2 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2.031 and 523.4.\nAnswer: 525.431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1\/7181 - 1069975\/43086. Find the common denominator of r and 37\/15.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/5985636 and 5\/5486833?\nAnswer: 65841996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.013434 to five decimal places.\nAnswer: -0.01343","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the first derivative of 7*k**4\/12 - 4*k**3\/3 + 9*k**2\/2 - 21. Let v(m) be the second derivative of o(m). What is the first derivative of v(s) wrt s?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5853*h + 6698*h + 3398*h)*(-4 + 6 - 1) + 7*h - 2*h - h to the form q + r*h and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 307988?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the second derivative of 0*b**2 + 0*b**3 + 9\/4*b**4 + 24*b + 3\/20*b**5 + 0. Factor i(p).\nAnswer: 3*p**2*(p + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (296\/(-60) - -5)*(-180)\/(-24). Sort w, 5, 0 in descending order.\nAnswer: 5, w, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the second derivative of 2*i**3\/3 - 7*i**2\/2 - 2*i. Differentiate z(l) with respect to l.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-9\/4)\/(y**4*y*y) assuming y is positive.\nAnswer: y**(-33\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(112)\/sqrt(2))\/sqrt(8) + (6*(sqrt(7) - sqrt(21)\/(sqrt(12)\/sqrt(4))))**2.\nAnswer: -3 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 176670473?\nAnswer: 7, 239, 105601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 9099?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 15159119 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 1375 divide 5449125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*2\/((-6)\/3))\/(17\/697).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/13680 and 47\/50.\nAnswer: 68400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 378720419?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lvlllllvll. Give prob of picking 2 v.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2476796 + 26?\nAnswer: -2476770","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 7*i - 9. Let b be s(6). Let u = b + -23. Let j be u\/(0 + (-1)\/(-5000)). What is j rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.9803721km?\nAnswer: 980372100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -4*h - 4. Let b be q(3). Let c(g) = -5796*g**2 - 1360*g - 96. Let s(f) = -1159*f**2 - 272*f - 19. Let a(x) = b*s(x) + 3*c(x). Factor a(d).\nAnswer: 4*(17*d + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -30 times 15389.3\nAnswer: -461679","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let y be 15\/(-5)*(-10)\/(-6). Is 14 a factor of -2*14\/(3 + y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12876\/(-999) + 30\/(-27)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.02 (b) 1\/7 (c) -5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5381056 is divided by 1130.\nAnswer: 1126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 42*2*13\/52. Suppose 0 = g*b - 15166 + 3238. Calculate the remainder when b is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 12\/(-15)*85\/(-2). Suppose o = 5*r - 11. Solve -5*w = r + 16 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-1 + sqrt(500)*-2*3 + 3 + -5 + 5)**2.\nAnswer: -1440*sqrt(5) + 108024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -4*h + 26536, -147*q + 142*q = 3*h - 19902. What is the hundreds digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - o - 4*p - 30, -2*p + 13 = 3*o. Let u(b) = b**2 + 4*b + 3. Let g be u(-3). Solve -2*s - 4*x = 14, -o = -g*s + 4*s + x for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 4*p**3 + 541*p + 5. Let t(s) = -5*s**3 - 567*s - 6. Give 6*a(y) + 5*t(y).\nAnswer: -y**3 + 411*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1778\/635*10\/8?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 510638467.\nAnswer: 29, 181, 97283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -14 + 7?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4224830?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -629 (b) 2\/9 (c) 1\/3 (d) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.1 + -38.9. Let g = n - -41.94. Let c = g + 4.06. What is the smallest value in -1, -0.1, c, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 7090 and 0.08.\nAnswer: 567.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -6\/35 (b) 9 (c) 2\/19 (d) 0.6 (e) -0.3 (f) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -35.06 + 35. Do -1\/3 and t have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 2*g + 261. What is a(-131)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 6*x**3 + 85*x**2 + 75*x + 890. Give z(-14).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -68*f**2 + 70*f**2 - 1 + 1. Let d(g) = -112*g**2. Calculate d(u(q)).\nAnswer: -448*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 4*d = q + 30, -2*d + 2 = 0. Let h = q + -7. Suppose 5*y - 36 = -h. Does 6 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37 is divided by 10\/(-75) - (-424)\/30.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 6*d + 9*d - 2 - 6*d.\nAnswer: 9*d - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 0*g - 3*g + 0*g. Let l = 64 + -62. Let h(u) = 589*u - l*u**2 + 3*u**2 - 589*u. What is h(d(t))?\nAnswer: 9*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 518.3494 tonnes?\nAnswer: 518349400000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u**(4\/3)\/u)*(u**(2\/7)\/u)\/u*u**(1\/4)\/((u*u*u**(-5)*u)\/u))\/((u\/u**(-4)*u*u**1*u*u*u)\/((u\/(u\/u**3))\/u**(-3))) assuming u is positive.\nAnswer: u**(-151\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - -1.47?\nAnswer: -0.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.03 - -158521690338\nAnswer: 158521690338.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**2 - 37*d + 105. Let h be g(34). Suppose -h*f = -3*y - 450, 4*f + 0*f = -y + 585. What is the least common multiple of f and 12?\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1159468.\nAnswer: 2, 17, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d\/d**(-15)*d)**17)**(11\/2))**(-12\/7))**(-16) assuming d is positive.\nAnswer: d**(305184\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -6, -183, -29, 1, -3 in descending order.\nAnswer: 1, -3, -4, -6, -29, -183","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31 (base 11) to base 5.\nAnswer: -114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 273942577 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**2 + 3*v - 16. Calculate the least common multiple of x(4) and 20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-4))\/((-165)\/(-132))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**2 + 3*v - 2. Let x be c(4). Let i be ((-3)\/x)\/(1\/(-2)). Let u(b) = -2*b**2 + b**2 + 8*b**2. Calculate u(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*q - 72*q + 40*q + 27*q.\nAnswer: 24*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -36.8, -2, -17\/5, -0.3, 5, -4 in decreasing order.\nAnswer: 5, -0.3, -2, -17\/5, -4, -36.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**2 + 15*g - 6. Let k be ((-24)\/10)\/((-3)\/10). Is 10 a factor of l(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 12*a + 256 = -8*a, a = -x + 250. What is the highest common factor of 16 and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 + 0. Suppose -o = -26 + 23. What is the first derivative of b + 3*u + 2 - o*u + 13*u**2 wrt u?\nAnswer: 26*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**3\/8 + 13*s**2\/4 - s\/8 - 273.\nAnswer: -(s - 21)*(s - 13)*(s + 8)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -76*w + 2821*w + 2619*w - 808*w.\nAnswer: 4556*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4372 + -4371.4. What is the closest to m in 1\/4, 2, -310?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes before 12:45 AM?\nAnswer: 2:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 1046*v**2 + 3*v + 1. Let t be p(1). Suppose 13*k + 17*k = t. Calculate the remainder when 148 is divided by k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 123 + 0 + 162 + -273\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 88\/3 + (16\/(-12) - -2) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -20*j**2. Let x(n) = 25*n - 7*n**2 - 25*n. Let p(h) = -6*l(h) + 17*x(h). Let t(g) = 3*g + 0 + 0. Calculate p(t(z)).\nAnswer: 9*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 174 and 236.\nAnswer: 20532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -5*d**2 + 33992510*d - 57774536805005 = 0.\nAnswer: 3399251","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/2 at most as big as 0.0359283?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the first derivative of 0*o**3 + 2 + 3*o**3 - 5*o**3 + 18*o**2 - 17*o**2. What is the second derivative of p(c) wrt c?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f + 3*f + 2*f**2)*(f**3 - f**3 + 2*f**3) + (0*f - 2*f**3 + 0*f)*(-f**2 + 0*f**2 - f**2) - 3*f**5 + 3*f**5 + 4*f**5.\nAnswer: 12*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes before 5:45 PM?\nAnswer: 6:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -18074 or -18075?\nAnswer: -18075","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 438 + -436. Which is smaller: n or -305?\nAnswer: -305","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the third derivative of -1\/360*h**6 + 0*h**3 + 0*h**5 + 3*h**2 + 0 - 1\/630*h**7 + 0*h + 0*h**4. Find v, given that t(v) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -578 (base 10) to base 5\nAnswer: -4303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -4*x**3 - 9*x**2 - 3. Let g(p) = -17*p**3 - 37*p**2 - 13. Give 6*g(n) - 26*w(n).\nAnswer: 2*n**3 + 12*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3719551?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (84\/45 + -2)\/((-3)\/(-15))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 244364672?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(343) + -2 + (sqrt(343) + 2 + sqrt(343))**2 + -1.\nAnswer: 63*sqrt(7) + 1369","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 + -4. Let 3*a**5 - 4*a**5 - 2*a**3 + 3*a**5 - q*a**4 + 3*a**2 - a**2 = 0. Calculate a.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 796, 3170, 7118, 12640?\n\"Answer: 787*m**2 + 13*m - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 4, 5, 7032\/17, 3, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 5*c + 280 = -0*c, 4*c = -4*r + 232. What is the highest common divisor of 3 and r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/6)\/(9\/(-45))?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 629076454 - 3.3?\nAnswer: 629076450.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 + 9. Let a be (1 + -2)*-1 - -2. Suppose 10 = -a*q + 43. Calculate the least common multiple of d and q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -5 and 6573084.\nAnswer: 6573079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**3 + 6*d**2 + 4*d - 1. Let i be m(-5). Suppose 0 = -i*n - 0*n + 48. Suppose -2*y + 4*a - n = 0, -4*y + 28 - 4 = 4*a. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 32*s**5 + 34*s**4 + 2*s + 67 wrt s?\nAnswer: 640*s**3 + 408*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 n when two letters picked without replacement from {e: 1, n: 3, m: 4, f: 5}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-1 + sqrt(468)) + (sqrt(468) - (sqrt(468) + -6*(-1 + sqrt(468))))**2.\nAnswer: -462*sqrt(13) + 16889","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-22)\/(-4)*((-86)\/(-44) + (-52)\/(-1144))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 22*q + 10 = -20*q, f - 5*q = 2 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 + 2. What is the units digit of k\/(6\/4) - -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (-3 - 2) + (11 - 6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that a**5\/2 + 2078*a**4 - 8317*a**3 + 12478*a**2 - 16639*a\/2 + 2080 = 0.\nAnswer: -4160, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**2 + b + 3. Let r be k(0). Let a = 5 - r. Let y be -1 - ((-6)\/(-8) - a). Which is greater: y or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -244*q + 1189. Determine m(3).\nAnswer: 457","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 + 9. Let p = -14600 - -14279. What is the common denominator of (-2)\/s*(p\/6 - -3) and -65\/48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6618 - -26761. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69450736.\nAnswer: 2, 1579, 2749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 206*s = -2*n + 211*s - 14, -11 = 3*n - 5*s for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1659*b + 37153 - 1399 + 59297 = -21079 for b.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 115 and 713.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i + 16*i - 20 = 0. Find the second derivative of -146*x**4 - x**2 - 179*x + 0*x**2 + x**i wrt x.\nAnswer: -1752*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/4)\/(3*4\/(-72))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 - 5. Let u be ((-2)\/(-4))\/(6\/(-4)). Let i = k - u. Which is greater: i or -1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, -2\/9, -259, -2\/41, -9?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -138*z - 42 = -140*z. What is the greatest common divisor of z and 119?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -85929, -0.3, 2\/239 in descending order.\nAnswer: 2\/239, -0.3, -85929","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -11*s**2 - 17. Suppose 3 = m - 3. Let h be (-8)\/52 - (-80)\/13. Let r be 3 - 93\/h*-2. Let k(a) = 2*a**2 + 3. Calculate m*y(c) + r*k(c).\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(1\/3)*z\/((z**(-5)*z*z)\/z))**50\/(((z**0\/z)\/z)**34)**(-3\/32) assuming z is positive.\nAnswer: z**(6247\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.979555 to three decimal places.\nAnswer: -1.98","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/(-4) - (-2)\/4. Suppose -2*v + 3 = 5*b, 3*v = p*b - 33 + 9. Let w(m) = m**2 + 8*m + 2. What is w(v)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(12) + sqrt(1200)\/sqrt(4) - 3*1*sqrt(12))\/(sqrt(48)\/(sqrt(8) + -6*sqrt(512))) + 0.\nAnswer: -141*sqrt(2) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1810*i**2 - 399*i - 15445054 wrt i.\nAnswer: 3620*i - 399","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25 is divided by 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3572 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: Rearrange (2 + 0 + 0)*(-7 + 3 + 0 + (4 + 3 - 4)*(-3 + 2 + 0) - 6 + 0 + 2)*(p + 19*p + 7*p) to the form t + i*p and give i.\nAnswer: -594","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 5*d**2 - 3*d + 6. Let t(q) = 2*q**2 - q + 3. Let p(c) = r(c) - 2*t(c). Suppose 3*y = -y - 32. Let h = y - -11. Let k(b) = b. Determine h*k(n) + p(n).\nAnswer: n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5*j**3 - 3326*j + 2352 wrt j.\nAnswer: 15*j**2 - 3326","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 12, -62, -186, -360?\n\"Answer: -25*w**2 + w + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 63078 to the nearest integer?\nAnswer: 251","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 47593342?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4400?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {k: 1, z: 1, d: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 5, o: 9, s: 2}. What is prob of picking 2 e and 2 s?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -226137278?\nAnswer: -1\/113068639","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -110.28941 to one dp.\nAnswer: -110.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (-1 - (3 - 0))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**2 - o + 1. Let z be d(1). Let c be 0 - (-2 + z)*-6. Let v = c - -13. Is v even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 5*w**3. Let c be t(1). Suppose -c*r - 4*q = -5, 2*q + 0 = -3*r + 3. Suppose -2*x + 5 = r. Solve 2*s + 2*j + 18 = 0, -3*j - 7 = x*s - 3*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 336b83 - -7?\nAnswer: 336b8a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**2 - 7*a + 13. Let j be g(-8). Suppose 0 = 5*q + j*t - 50, 0 = q + 2*q - 3*t - 6. Let s be q\/4*6*8\/36. What is the nearest to s in 0, 3, -8\/9?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 27\/160 and -119\/90?\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 57b2 (base 12) in base 16?\nAnswer: 2636","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -136, -302, -472, -646?\n\"Answer: -2*p**2 - 160*p + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes after 7:14 AM?\nAnswer: 8:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-15) + (-64)\/30. Suppose -84 - 124 = -13*x. Sort -3, 3, i, x in ascending order.\nAnswer: -3, i, 3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the third derivative of -p**4\/24 + p**2 - 52*p. Let k(l) = 2*l - 6*l + 2*l. Let r(a) = -3*k(a) + 4*t(a). Let w(u) = 10*u. Give r(w(b)).\nAnswer: 20*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2185 and 998108?\nAnswer: 437","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12 - -18. Let i be -1*(-16)\/(-4) + y. Suppose k = -4*k - 3*z + 35, -i*z = k - 14. Does 4 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-3092.22888.\nAnswer: -6184.45776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a micrometer in nanometers?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence se when two letters picked without replacement from exdddddddsxesd?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 140402059909 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 2*q**3 + 736286*q**2 + 32393680*q + 356319832 = 0.\nAnswer: -368099, -22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a kilometer in centimeters?\nAnswer: 24000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaloallaaaoolloa. Give prob of sequence oalo.\nAnswer: 1\/104","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a decade in months?\nAnswer: 390","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -33*v**3 + 33*v**3 - 14*v**6 + 9*v**2 wrt v?\nAnswer: -1680*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4929922ml in litres?\nAnswer: 0.0004929922","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 877560.7um in kilometers?\nAnswer: 0.0008775607","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 104 + 35. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aclllllollklyy. What is prob of sequence ca?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 415\/2808 + -8\/351. Which is the second smallest value? (a) o (b) 6\/5 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*z**2 - 4*z - 1 + 4*z + (1 - 1 + 1 + (-6 + 4 + 3)*(3 - 3 - 2))*(3*z**2 - 11 + 11) to y + c*z + a*z**2 and give a.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h + 4*h. Suppose 2*x + 5 - 29 = h. Let s = -7 - -10. Solve x = 3*o + s for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 3*m = 2*x + 3591, 3*x - 3567 = -3*m. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -69271a - -12?\nAnswer: -692708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:46 AM and 9:12 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the first derivative of h**8\/224 - h**6\/80 + 3*h**2\/2 - 3. Let y(a) be the second derivative of s(a). Factor y(j).\nAnswer: 3*j**3*(j - 1)*(j + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 + -2. Let g = 370 - 362. Calculate the smallest common multiple of u and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -5*d - 3. Let l be (-2)\/(-12) - ((-31)\/(-6) - 3). Let o be (l - 1)\/(3 - 24\/16). What is j(o)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1081 greater than or equal to -1\/3582?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 82 - 79. Let f(u) = u**3 + 27*u**2 - 22*u**2 - 3 + 0*u**l. Determine f(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the third derivative of -u**6\/20 - 3*u**4\/8 + 6*u**2. Find the second derivative of c(f) wrt f.\nAnswer: -36*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 48*q**2 + 44*q - 606. Does 67 divide a(12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -217*j - 1252. What are the prime factors of g(-19)?\nAnswer: 3, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**2 + 22*l + 15. Does 9 divide x(21)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 + 6. Let n = -1.8 - -2. Suppose -25*h + 24*h = x + 5, -7 = 5*x + 2*h. Which is the closest to n? (a) v (b) x (c) -2\/31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o = 3*v - 48, -821*o + 823*o - 10 = -v for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 11\/10, -2, -1, 1\/249?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*(g\/g**(-23\/4))\/g)\/(g\/g**19))\/(g**(1\/11))**(-48) assuming g is positive.\nAnswer: g**(1281\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**4\/7 + 144*w**2\/7 - 2592\/7.\nAnswer: -2*(w - 6)**2*(w + 6)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 142*c**2 + 22*c - 69. Let d(m) = -48*m**2 - 7*m + 23. Let i(n) = 11*d(n) + 4*v(n). What is the tens digit of i(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from slsll. What is prob of picking 2 l and 2 s?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = o + 12. Let j be (o\/(-5))\/((-6)\/(-15)). Which is the third biggest value? (a) -3\/4 (b) 0.5 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 5159?\nAnswer: 5\/5159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 81329 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 25.69335 litres in millilitres?\nAnswer: 25693.35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 3*g + 1024 = 0, -y - g + 4*g + 212 = 0. List the prime factors of y.\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 804.0522 millennia to months.\nAnswer: 9648626.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19 - 19. Suppose n = -5*r - 2*b + 23, 4*r - 18 = -2*b - 0*b. Let h(t) = -13*t - 4. Let s be h(-3). What is the highest common factor of s and r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*o**4 - 1 - 2*o + 640*o**2 - 6*o**3 - 639*o**2 - 1 in the form a*o**2 + k*o + d + c*o**3 + z*o**4 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v when three letters picked without replacement from {f: 3, v: 10, u: 2, s: 4}.\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (17 - ((-31 + 21 - -49) + -10)) + 129\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 - 1)*(8*z - 3*z + 0*z)*(-4*z**2 - z**2 - 2*z**2).\nAnswer: 105*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 9 = -4*l. What is the derivative of -20*b**4 + 41*b**l - 16 - 41*b**2 + 0*b**4 wrt b?\nAnswer: -80*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 50\/41 + -2655\/328. Let f = 7991\/6 - 1342. Calculate the common denominator of v and f.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*o**5 + 140*o**3 - 1215*o**2 wrt o.\nAnswer: -120*o**2 + 840","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -152*o + 4. Let f(q) = 2*q + 63. Calculate f(r(u)).\nAnswer: -304*u + 71","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 103205 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 195.\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 478\/1509753?\nAnswer: 478\/1509753","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 689 and ((608\/(-57))\/16)\/(2\/(-78)).\nAnswer: 1378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 30 - 30. Suppose -2*x - 3*x + 410 = q. Let n = -23 + x. List the prime factors of n.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 41553 * -61\nAnswer: -2534733","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2709 is divided by 2571.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 406.0135um to meters.\nAnswer: 0.0004060135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (7 - 10)\/(1\/6). Let n = 47 - 22. Calculate the remainder when n is divided by 8 - -1 - g\/(-9).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-30)\/(-4) - (-9)\/(-6)) + -2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101111011101 (base 2) in base 8?\nAnswer: 5735","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 447613.7ml in litres?\nAnswer: 447.6137","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**3 + 17*r**2 + r + 5. Let v be h(17). Solve 4*x + p = -6 - 2, 0 = 2*x - 4*p + v for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 43\/2 of a day?\nAnswer: 516","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5220 is divided by 383?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -u + 12*u - u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 685108 is divided by 114178?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -292, -571, -850?\nAnswer: -1129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.634 - -2.534. Which is the nearest to -5? (a) 1\/5 (b) v (c) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -23748164 smaller than -23748164?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 63417311 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 71359?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, -5, -1\/27, 2\/13, -6 in decreasing order.\nAnswer: 2\/13, -1\/27, -1\/2, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l - 7 + 8 + l - 423*l**3. Let w be r(-1). Suppose 0 = 3*q - w - 223. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) 1 (c) -2670 (d) 0.5 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 c, 1 b, and 1 u when four letters picked without replacement from cvbuxup.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 77216 to the power of 1\/2, to the nearest integer?\nAnswer: 278","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = -297*z + 294*z + 3*c, 0 = 2*z + 4*c for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**3 + w**2 - w + 1. Let p be c(1). Suppose p*u - 20 = -u. Solve u = 5*r - 10*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -10*h**4\/11 + 4732404*h**3\/11 + 7571870*h**2\/11 + 946488*h\/11 - 172088 = 0. Calculate h.\nAnswer: -1, 2\/5, 473242","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes before 10:39 PM?\nAnswer: 12:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 159 = -5*r. Suppose u - r = 3. Let j = u + 13. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*i**2 + 7*i - 2*i - 1 - 4*i + 11 wrt i.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/19, 4, 4\/3, -18, 34\/19 in decreasing order.\nAnswer: 4, 34\/19, 4\/3, 2\/19, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -k**3 - 68579*k**2 + 823056*k - 2469276 = 0.\nAnswer: -68591, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 22*j - 1. Let f(r) be the first derivative of 43*r**2\/2 - r + 306. Calculate 3*f(b) - 5*k(b).\nAnswer: 19*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 737*j*p**4 + 107*j*p**2 - 4*j + p**4 wrt p?\nAnswer: 17688*j*p + 24*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes before 4:42 PM?\nAnswer: 8:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add -2750976 and 0.5.\nAnswer: -2750975.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:59 AM and 9:51 AM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 6, 42, 118, 246, 438, 706, 1062?\n\"Answer: 2*u**3 + 8*u**2 - 2*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than or equal to 5\/407477?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 1567?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2060748080 to the power of 1\/3, to the nearest integer?\nAnswer: 1273","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 654.2 - 595. Let x = i - 54. Round x to one dp.\nAnswer: 5.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5764 + -5760. Factor 5\/6*q**g + 0 + 25\/6*q**3 + 5\/2*q**2 - 15\/2*q.\nAnswer: 5*q*(q - 1)*(q + 3)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10784633 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 8, -6, -20, -34, -48, -62?\n\"Answer: -14*l + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*m**3 + 7*m**3 + 2*m**2 - m**2 + 8*m**3.\nAnswer: 19*m**3 + m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1359881 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 60005576119 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add together -6 and -790006.8614.\nAnswer: -790012.8614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 25, -35, -175, -431, -839, -1435?\n\"Answer: -6*b**3 - 4*b**2 - 6*b + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 139*v - 2629. Calculate n(18).\nAnswer: -127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3593 is divided by 232?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -3*w - 35. Let u be d(-9). Which is the third smallest value? (a) u (b) -3 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 65\/180*(-16)\/(-6). Let g = d - 8\/27. Let b = 29\/3 - 10. What is the biggest value in b, 1\/6, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 (base 14) in base 8?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the first derivative of i**3 - 18*i + 15\/2*i**2 - 81. Let l(y) = 0. Calculate y.\nAnswer: -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes after 11:06 AM?\nAnswer: 8:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**3\/2 - 441*g**2 - 129654*g - 12706092.\nAnswer: -(g + 294)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the second derivative of -11*l**3\/6 + 15*l**2 - 34*l. Let q be h(-6). Let p = q + -60. Which is smaller: p or 38?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1212202 (base 3) to base 6\nAnswer: 10202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - -3 - 4 - -16.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*o + 12*o. Solve -3*g + 4 - 1 = o for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 5, k: 6, b: 1, c: 2, r: 3, h: 3}. What is prob of sequence kjhr?\nAnswer: 3\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -3944554 divided by 8?\nAnswer: -1972277\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes after 4:32 AM?\nAnswer: 4:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:49 AM and 6:44 AM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ywo. What is prob of sequence yw?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1869492 to the nearest integer?\nAnswer: 1367","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-156)\/182)\/(22\/14)\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9671754?\nAnswer: 2, 3, 47, 34297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 = -5*t - j, 0*j - 23 = -t + 4*j. Let b = -17 + 17. Suppose 4 = 4*a + 4*c - 4, b = -2*c. What is the smallest common multiple of a and t?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the third derivative of 11*d**4\/24 - 13*d**3\/6 + 22*d**2. List the prime factors of h(13).\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 b when three letters picked without replacement from {x: 15, b: 3, n: 2}.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -123*i + 123*i - 1000*i**2.\nAnswer: -1000*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 351*v**2 - 71*v**2 - 67*v**2 - 72*v**2 - 72*v**2 - 70*v**2.\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 217 - 136. Is z a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**3 + 10*v**2 - 12*v + 28. Let r be n(9). Let y(w) = w**3 + 3*w**2 + 2*w + 1. Let a be y(-2). What are the prime factors of 5*(r\/a)\/1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 - -100?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 3*o + 430627 + 462975 = 0, 0 = n - 4*o - 893604. Suppose -l - 3*q - n = 2252407, -2*l - 6291997 = -3*q. Round l to the nearest 100000.\nAnswer: -3100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-15))**(-3\/4) assuming g is positive.\nAnswer: g**(45\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 6545024, 13090056, 19635090, 26180126, 32725164?\n\"Answer: k**2 + 6545029*k - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-64))\/(597\/(-796))?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 6*v**3 - 2*v + 1. Let k be f(1). Let x(m) = -m + 1. Let j(i) = -5*i + 4. Let z(d) = -j(d) + 4*x(d). Calculate z(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 18 (b) -1 (c) -3\/872 (d) 97 (e) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3721879*i*o + 654703*i wrt o?\nAnswer: -3721879*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**3\/3 - 286*g**2\/3 + 95*g.\nAnswer: g*(g - 285)*(g - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -11*u + 15. Give x(6).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4220*g**4 - 98*g**2 + 11088915 with respect to g.\nAnswer: -16880*g**3 - 196*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61264.\nAnswer: 2, 7, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 533750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1569547\/718 + 2186. What is the common denominator of i and -121\/10?\nAnswer: 3590","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.392298 years in decades?\nAnswer: 0.8392298","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 103*-2*(-1)\/2. Suppose 2*c + 21 = x, -c + t = 3*x + c. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*h**2 + 14*h**2 + 10*h**4 + (0*h**2 - h**2 - h**2)*(0*h**2 + 0*h**2 + 2*h**2))*(3 - 2 - 3).\nAnswer: -12*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -60 + 174 - 11*m - 56 - 59. Let f(p) be the second derivative of -5*p**3\/6 - p. Determine -7*f(t) + 3*k(t).\nAnswer: 2*t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 106, -1, -40, 0.05, -17\/4 in decreasing order.\nAnswer: 106, 0.3, 0.05, -1, -17\/4, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.04175727 to four dps.\nAnswer: -0.0418","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -693*p + 6621 - 3032 + 24824 = 0 for p.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000110001 (base 2) in base 14?\nAnswer: -2c1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 29*u - 4. Let h be p(-2). Let v be h\/22 + (140\/77 - 2). Let w = 4 - 4.06. Sort w, -0.5, v in ascending order.\nAnswer: v, -0.5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -301 - 454768.\nAnswer: -455069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3415579 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = v - 5. Let o(w) = 5*w + 2. Let l be (3*(4 + -3))\/(3\/8). Let y(q) = l - 8 + 4*q + 2. Calculate v*y(s) - 5*o(s).\nAnswer: -s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 96*c - 81 - 170 + 59 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8224425 divided by -7.\nAnswer: 8224425\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 5) to base 9.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 22, 30, 54, 100, 174, 282, 430?\n\"Answer: j**3 + 2*j**2 - 5*j + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90*c = -5882 + 4802 for c.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/8 - (-15)\/(-28). What is the closest to h in 5, -0.1, -1\/2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l - 4. Let s be b(0). Let y be 1\/4 - 204727\/s. Suppose -4*o = -5*f + 5000015, 3*o + y = -3*f - 3698809. What is o rounded to the nearest 100000?\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27\/(-3)*(-340)\/204\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11636?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 0.1532105 decades?\nAnswer: 0.01532105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -22112000 rounded to the nearest one hundred thousand?\nAnswer: -22100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1300)\/(-6250)*(-1700)\/2210?\nAnswer: -4\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 461.1526ml in litres?\nAnswer: 0.4611526","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5295369?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -400 - -407. What is the tens digit of (354 - 56) + 0 + z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/16*-5)\/(2\/8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -112 - -1232310100?\nAnswer: 1232303322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 166 is divided by 26?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.07 (b) -2\/25 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 5, -5 in ascending order.\nAnswer: -5, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 602*a + 283. Give h(-1).\nAnswer: -319","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*z = 21*z + 108 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qnnbbl. Give prob of picking 1 b and 1 l.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -5*o - 2474230, -3*o + 330 = 339. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -r**5 + 72048*r**2 - 77*r - 9106 wrt r.\nAnswer: -20*r**3 + 144096","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1193292673 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 3*f - 3*o + 15, 0 = 3*f + 4*o + 5. Which is the nearest to -0.1? (a) f (b) -6\/7 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the first derivative of -t**5\/5 + 67*t**4\/8 - 47*t**3\/3 - 16*t**2 + 12937. Solve s(a) = 0.\nAnswer: -1\/2, 0, 2, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(sqrt(50)*-2*-2 + sqrt(450)*-5))\/(sqrt(10) + sqrt(20)\/sqrt(2)*1 + sqrt(30)\/(sqrt(3) - (sqrt(3)*3 + sqrt(3)))))**2.\nAnswer: 9801\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*2\/12*(-2)\/(-2).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**2 + 9*f + 12. Let j(l) = -3*l - 8. Let a be j(-6). Let y be t(a). Suppose d = -4*z - 3, -2 = -y*z - 0. Let u(g) = -g - 3. What is u(d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1990, -1991, -1992, -1993, -1994, -1995?\n\"Answer: -t - 1989","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 60602 + 30284 = -w - 30301, -10 = 2*a for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1182 minus 88?\nAnswer: -87.8818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 534738*d - 268075*d - 266654*d.\nAnswer: 9*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is (-12301)\/(-7) + 2\/(-7) + 0 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 v, and 1 x when three letters picked without replacement from {h: 3, m: 5, v: 2, x: 1, w: 1, c: 3}?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 0*n + n - 34 = 0, -2*a = -2*n - 52. Let v be (a\/35)\/(2\/14). Let t(z) = -155*z - 8215. Let b be t(-53). Solve b = -2*u + v for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -8 + l + 10 + 2*l. Suppose -8*x - 57 = -369. Calculate the remainder when x is divided by q(4).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26795303 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*2*(4*-3*4*((sqrt(21) + sqrt(21) + sqrt(84)\/sqrt(4))\/sqrt(3) + sqrt(7)*-1 + -5))**2.\nAnswer: -276480*sqrt(7) + 732672","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Is 125869 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -3*n**3 - 12*n**2 - 5*n - 12. Let s be x(-4). Suppose 2*p - 4*j - 454 = -150, 2*j = s. Calculate the greatest common factor of p and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55.88056 rounded to one decimal place?\nAnswer: 55.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -7*z**2 + 1. Let o(d) = -318*d. What is o(f(q))?\nAnswer: 2226*q**2 - 318","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes before 9:59 AM?\nAnswer: 10:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - q + 7, -5*q + 20 = -6*o + o. Suppose 3*m - 2*m = 4. Suppose m*w = 11 + 5. Which is the closest to o? (a) 0 (b) w (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -28 + -1?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y\/((y**6\/y)\/y)))\/(y\/(y\/(y*y**(1\/3)*y))))\/(y\/(y\/(y*y\/y**6))*y\/(y*y**(-1)\/y)) assuming y is positive.\nAnswer: y**(11\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 31 + -30. Suppose -g + 9 = 2*d. Let m be 5*1 + (-12 - -15). Solve m = -d*p - 8 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 4 - 0, 5*i + s = 133. Let p(z) = -11*z - 1. Let a be p(1). Let w be 180\/2*a\/(-10). Calculate the highest common factor of i and w.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*y + 18 = 4*m + 10*y, -4 = 3*m + 2*y for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -21*h. Let q(u) = 2*u - 60. Give j(q(p)).\nAnswer: -42*p + 1260","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 212601 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 (base 7) in base 5?\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5, 25, 127, 353, 745?\nAnswer: 1345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-3)\/(-2))\/1*2. Suppose -x = x + 2*v - 12, -2*x - y*v + 16 = 0. Let i = 1128 + -1119. Solve -p - x*p = i for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(4212) + sqrt(13) - -4*sqrt(1053)).\nAnswer: -165*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Total of 5 and -8594.\nAnswer: -8589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4 or 2259\/790?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 33*i + 9. Let w(n) = -32*n - 9. Let r(j) = -4*p(j) - 5*w(j). Let f = 192 - 185. What are the prime factors of r(f)?\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -165*i**2 + i**4 + 5*i**4 + 60*i**2 + i**5 + 55*i**2 + 58*i**2 + 12*i**3 = 0. What is i?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2972759 divided by -1843?\nAnswer: 1613","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j**5\/6 + 25*j**4\/6 - 23*j**3\/6 - 25*j**2\/6 + 4*j = 0.\nAnswer: -1, 0, 1, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/((u**10*u)\/u)*u**4)**(2\/41) assuming u is positive.\nAnswer: u**(-10\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 331856299 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -413 and 26353677111?\nAnswer: 26353677524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 67 + 18*h**2 - 31 - 36. Let w(s) = -6*s**2. Determine w(j(y)).\nAnswer: -1944*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*n - 44*n**2 + 44*n**2 - 2 - 6*n**3 + n to the form b*n + s*n**2 + p*n**3 + z and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -0.3, 2\/33, -9, 4\/7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**2. Let o(w) = w**2 - 19*w + 1162. Give o(n(c)).\nAnswer: c**4 + 19*c**2 + 1162","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -21 - 3958b?\nAnswer: -395ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -145 - 1?\nAnswer: -146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 119574?\nAnswer: 2, 3, 7, 13, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7585\/8 + 950. Let b(n) be the first derivative of 3\/10*n**5 - 21\/4*n**2 + 9\/2*n**3 + 3*n - v*n**4 - 2. Solve b(o) = 0 for o.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(2\/4*(-2)\/(-4))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 39797 - 19898 - 19899 - 11094*r to the form n + x*r and give x.\nAnswer: -11094","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -5*v + 39. Suppose -4*a - 30 = 42. Let t be i(a). Let q = t + -75. Is q a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1247401913?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the third derivative of 2*i**2 + 0 + 0*i + 1\/24*i**4 - 1\/6*i**3. Differentiate a(v) wrt v.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, p: 1, d: 1, j: 3, q: 1}. What is prob of picking 1 q, 1 p, 1 d, and 1 j?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1321*o - 1290*o + 2616*o + 64 + 351 = 0 for o.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3701 a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 32050616497 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -4*w + 67, 4*w = 5*n - 0*n + 117. What is the remainder when 172 is divided by w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 440*w - 382*w = -290 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -135 + 5?\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**3 + 5*j**2 - 2*j + 12. Let s be o(5). Let m(z) = 2*z + 2. Give m(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -c**2 + 6 - 12*c**3 - 2*c**2 - 4 - 4*c**4 + 11*c**3 to n*c + z*c**3 + h*c**2 + q*c**4 + g and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 21507 and 5025?\nAnswer: 537675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 333383 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 26\/5 of a litre?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(72)\/sqrt(2))\/(sqrt(2)*-2*-3) + (sqrt(2400)*2 + sqrt(2400) + sqrt(2400))\/(sqrt(108)\/(sqrt(9)*2)))*-1)**2.\nAnswer: 25921\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -22745 divided by -1\nAnswer: 22745","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -2*o**2. Let w(c) = -568*c + 48. Give k(w(u)).\nAnswer: -645248*u**2 + 109056*u - 4608","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.2 - 0. Let y = f - -0.2. Let d = 6 - 5. Which is the smallest value? (a) y (b) d (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 216 and 32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0006803 rounded to 4 decimal places?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/5 at most -48412.7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.02129 - 33.17075. Let p = k - -35.2. Round p to 3 dps.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 30*f - 275 - 8095. Is 9 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 4, c: 8, f: 2, u: 4, l: 1}. Give prob of picking 1 f, 1 u, and 1 c.\nAnswer: 64\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -51\/50 and 15\/4.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10083330 divided by -336111.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (126\/4)\/9*-1*2?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.37 + -0.07. Let m = -7477\/13 - -575. Which is the closest to 0? (a) m (b) -9 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 - -4. Let k(x) = -149*x**2 - 13. Let v(s) = -37*s**2 - 3. Let h(d) = 2*k(d) - 9*v(d). List the prime factors of h(u).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 44\/3 in -0.3, 1.5863, 2\/7?\nAnswer: 1.5863","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 0 + 4)*((1 - 3 + 0)*(2 - 4 + 0) - 3 - 3 + 4 + 5 + 1 - 3)*(2 - 2 - 13*c) in the form y + p*c and give p.\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7271838 = n - 160149. Let d = 12011689 + n. What is d rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 5*g**3 - 16*g**2 + 5*g - 22. What is the least common multiple of 2 and f(4)?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (9 - (-31717)\/(-49))\/((-4)\/14).\nAnswer: 2, 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 552645 and 135?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (1 + -26 - -27).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2\/7 - 152*i\/7 - 2888\/7.\nAnswer: -2*(i + 38)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k - 7. Let t be o(7). Suppose 0*g - 4*g = -44. What is the lowest common multiple of 7 - 1 - t - 2 and g?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 70 (b) -3 (c) -0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -x**5 - 6248*x**3 - 2306*x**2.\nAnswer: -60*x**2 - 37488","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 45817?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 436 is divided by 3\/(1*6\/26).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -7*m**2 - 16*m - 7. Let o(f) be the second derivative of -f**4\/3 - 4*f**3\/3 - 2*f**2 - 1457*f. Calculate -11*o(j) + 6*v(j).\nAnswer: 2*j**2 - 8*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -3 - ((44 - 25) + (2 - 23))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 6) to base 8.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.18 minus 1.00997?\nAnswer: -0.82997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f - 5*f + 4*f)*(-1 + 2 + 1)*(3 + 1 - 5)*(0 + 2 + 5).\nAnswer: -14*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-24)\/s**(3\/8)*((s**(-8)\/s)\/s)\/s**(3\/20) assuming s is positive.\nAnswer: s**(-1381\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 2*i + 5*p = -61, 0 = -2*i + 4*p + 60. List the prime factors of i.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 25*t**2 - 39*t + 8. Let p be w(-13). Suppose -x = 5*z - 0*z - p, z + 4*x = 967. Does 38 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of n*w**4 - n*w**3 + 3344*n*w**2 + 17*w**3 wrt w.\nAnswer: 24*n*w - 6*n + 102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, f: 1, h: 4}. What is prob of sequence fhz?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1223344 + -10?\nAnswer: -1223404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 7*p**2 - 1. Let f be t(1). Suppose -272 = -4*k + b - f*b, 0 = b. What are the prime factors of k?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 373229*d - 2239373. What is i(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 + 4*4\/16)\/(-1). Suppose k = -18*o + 15*o. What is the tens digit of 84*(3 - o - 2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76\/5 of a hour in minutes?\nAnswer: 912","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2 and ((-1)\/(-3))\/(((-33)\/72)\/(-11)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -2*y. Let d(w) be the second derivative of -4\/3*w**3 + 0*w**2 + 0 + w. Calculate u(d(s)).\nAnswer: 16*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -805*m**5 - 797*m**5 + 2025*m**5 + (-m**3 - 2*m**3 + 5*m**3)*(0*m + 0*m - 2*m**2) + 6*m**5 + 0*m**5 - m**5 - 2*m**5 + 0 + 0 + 0*m**5 - 6*m**5 + 4*m**5.\nAnswer: 420*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -6*g - 1. Let q(c) = -20*c - 4. Let f(s) = 6*q(s) - 17*x(s). Calculate the least common multiple of 24 and f(-1).\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -1 + 5. Is w >= 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**2 + 17*t + 37. Let g be f(19). Let j(a) = -a**3 - 16*a + 9*a + 8*a - a**2 + 1. Let o be j(g). Which is bigger: o or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 280, 1012, 2218, 3892, 6028, 8620, 11662?\nAnswer: 15148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24\/180)\/((-4)\/(-12)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 + 363?\nAnswer: 357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-5)*551936\/(-25872).\nAnswer: 64\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 349 + -216. Let d be (-4)\/(-6) - p\/(-21). What is the highest common factor of 7 and d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22598?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 23*z**5 + 387*z**4 - 30662*z + 2?\nAnswer: 460*z**3 + 4644*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 142314?\nAnswer: 2, 3, 23719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -3*y + 22. Let i(g) = -g**2 + 11*g + 2. Let p be i(y). Are 3 and p equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1876*y**2 + 2431.\nAnswer: 3752*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7602 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 1\/4, 30, -91, 0.3, -0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 92283 a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1707 and 47594005.\nAnswer: 569","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.118 + -7.818. Let h = -8 - n. Is -2\/3 bigger than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*n + 2110 + 1346. Is n a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5989315 a multiple of 108?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -0*m + m. Suppose -15 = -5*x - m*s, x + 35 = 5*x - 3*s. Let i(v) = 3*v - 12. Let q(y) = -y + 4. Let j(r) = 3*i(r) + 8*q(r). Calculate j(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k + 11. Let s be r(9). Suppose 25*g + 7*g**s + 0*g**2 - g**2 - 20 - 51*g = 0. Calculate g.\nAnswer: -2\/3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 838 a factor of 78037074?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**2 + 17*d - 21. What is z(-18)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 196370559.\nAnswer: 3, 7, 11, 47, 6029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-5*sqrt(54)\/sqrt(2) + sqrt(27))*-1.\nAnswer: -72*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-30)\/35)\/(2\/(-7)). Let p(z) = z**3 + 13*z**2 + 16*z + 50. Let n be p(-12). Differentiate -4*k**n - 226 - 4*k**o + 0*k + 0*k + 246 with respect to k.\nAnswer: -12*k**2 - 8*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 2.944979l?\nAnswer: 2944.979","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 48892440 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 137*(-9 + 3)*((-10000)\/(-12))\/5. Round o to the nearest ten thousand.\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(216))\/(sqrt(40)\/(-2*sqrt(5))).\nAnswer: 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-23)\/(-46))\/(-1 + (-30)\/(-28)). Suppose -7*r - n = -8*r. What is the third derivative of r*i**2 - 6*i**2 + 11*i**4 + 0*i**2 wrt i?\nAnswer: 264*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((56\/21)\/(-8))\/((-24)\/(-3312))?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 663 is divided by 32?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -123 - -396. Suppose -28*i + k = -21*i. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, t: 4, p: 7}. What is prob of sequence pvv?\nAnswer: 7\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 109 = 3*u - 343*j + 342*j, -6*u - 23*j + 93 = -25 for u.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1109785 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*r - 2*r + 38147541 - 38147541.\nAnswer: -6*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 195917*p**5 + 5269*p**2 - 13*p?\nAnswer: 11755020*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(3\/5)\/t**(-1))\/(t*t**(-1)*t**(3\/2)) assuming t is positive.\nAnswer: t**(1\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 89066117?\nAnswer: 7, 12723731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 2*t**2 + 5*t - 2. Let p(r) = 4 - r**3 - 5*r**2 - 4*r + 3*r**3 - r**3. Calculate the remainder when k(3) is divided by p(6).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.18 + -0.82. Let l = -5.92 + -0.08. Let z = b - l. What is the nearest to 1 in 0.2, z, 0?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 119, -212, 4 in decreasing order.\nAnswer: 119, 4, -212","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/(-6)*25\/15*9\/90?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 22 - 9. Suppose 3 - r = -2*b. Suppose -3*f - 2*s = -241, b*f - 3*s + s - 391 = 0. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, -2, 3, -1, 1, 5 in descending order.\nAnswer: 5, 3, 1, -1, -2, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*k - 11*k + 2. Let c(d) = d**3 - 3*d**2 + d. Calculate c(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 3 = -2*i, -2*b - 4*i = 0. Suppose 0 = b*v + 3*g - 11, -4*g - 2 = 4*v - 3*v. List the prime factors of v.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -3 - (147 + -127)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 15387\/75555 + 3\/(-45). Let j = 6 + -6. Does x = j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*m + 2*m - 3*m - 4*m + 0*m + 5*m + (4 - 1 - 1)*(m + 3*m - m) + (-3 + 4 + 1)*(22*m + 7*m - 3*m) + 2 - 2 - 2*m.\nAnswer: 56*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-280)\/45 + 2\/9. Suppose n = -0*n. Suppose -c = 3 - n. Which is smaller: b or c?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 3\/8, 4\/7, -23, -7, -2 in increasing order.\nAnswer: -23, -7, -2, -0.2, 3\/8, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 2*z**2 - 48*z - 172. What is s(27)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/7 + 54\/7. Let s be (-281985)\/(-6) + 20\/r. What is s rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r. Let y(s) = 20*s + 1. Calculate 2*t(n) + y(n).\nAnswer: 18*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 times -96294?\nAnswer: -4718406","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**3 + 66428*x**2 - 275559804*x - 1932174972.\nAnswer: -4*(x - 8307)**2*(x + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 207*d**3 + 14879*d**2 + d**4 - 596*d**2 + 278171*d + 50338*d = 0. Calculate d.\nAnswer: -69, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -25429 - -8918?\nAnswer: -16511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.54 - 0.31. Let y = r - 1.73. Let k = 1.3 + y. What is the nearest to 1 in k, 5\/3, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: a1 (base 13) to base 16\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes after 2:38 PM?\nAnswer: 9:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*(g\/(g\/g**(-6)))\/g)\/(g\/(((g*g**5\/g*g)\/g)\/g))*g\/g**(-6)*g*g*g**(-1\/4)*(g\/g**(-2\/7))**49*(g\/g**1)**(-28) assuming g is positive.\nAnswer: g**(275\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (412\/186)\/(376\/(-141)) and -29\/32?\nAnswer: 992","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21992307 - 6624307. Round z to the nearest one million.\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -y**2 + 34*y - 33 = 0.\nAnswer: 1, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*3181.\nAnswer: -12724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -22111 (b) 8 (c) 18 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1083223 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**3 - 4*z**2 + 3*z + 2. Let m be q(3). Calculate the greatest common divisor of 16 and m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((-1*(-2 + sqrt(448) + 5)*5)**2 + 2*((5 + 1*sqrt(448) - sqrt(448)) + -2*sqrt(448) + 2)).\nAnswer: 3504*sqrt(7) + 34317","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w\/w**19)\/w*w)\/w)\/w)\/(w\/((w*w*w\/w**(5\/12))\/w)) assuming w is positive.\nAnswer: w**(-233\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 101669144?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4684 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -92\/107 - -537\/749. What is the fifth biggest value in -47, -3, t, -1, -0.2?\nAnswer: -47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = 5*s - 6 - 7, -1 = -s. Let d = m + -5. Is 1\/(1\/(-2199)*d) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 211 + -211.63. Let o = n + 0.43. Let q = 8 - 3. What is the closest to 0.1 in 0.5, q, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 56 - 33. Let f(j) = j + 3. Let z be f(7). Suppose -11*m + 5 = -z*m. Solve -4*q + m*a = -x, -4*a - 19 + 3 = -2*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1)\/4 + 1)*16\/4. Solve -3*s = -2*w - 17, -3*w - l*s + 14 = -2*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 280915614 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2300200223222 + 0?\nAnswer: 2300200223222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 12 = 0, -4*q + m = -6*q + 9. What is the greatest common divisor of q and 81?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -32 + 34. Let y(c) be the second derivative of -1\/6*c**4 + c + 3\/2*c**a + 1\/10*c**5 + 0 - 1\/2*c**3. Calculate y(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**3 + 5*u**2 - 3*u + 1. Let a be d(4). Suppose -3*g = -2*h + 13, 15 = 2*h - a*g - 0*g. Solve -2*z - 13 = 5*y + h, 0 = -5*y + z - 6 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1140?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/6, 23, 0.4, -4 in decreasing order.\nAnswer: 23, 0.4, 1\/6, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -101232310 + -120?\nAnswer: -101233030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2654.76 and -29?\nAnswer: -76988.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 5 + 0 + 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -80*m**2 - 4*m - 1. Let u(a) = -400*a**2 - 22*a - 6. What is -11*p(v) + 2*u(v)?\nAnswer: 80*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/(-4))\/((-1)\/(-6)). Suppose -2*i + 8 = 0, 0*x + w*i = 2*x + 4. What is the units digit of 8*x\/(-2)*-2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 2*g**2 - 10. Determine o(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 102*j**3 - 4*j**2 + 19*j. Is x(5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 120 - 42. Let d = 79 - a. What is the least common multiple of d\/(-4)*(5 + (3 - 16)) and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes after 11:08 AM?\nAnswer: 1:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -16*a*g**3*s + 6*a*g*s + 2*g**3*s + 5*g*s + g wrt a?\nAnswer: -16*g**3*s + 6*g*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1178*n**2 + 1564*n.\nAnswer: -2356","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*t**5 - 168*t**4 - 2340*t**3 + 672*t**2 + 9408*t = 0. What is t?\nAnswer: -28, -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-19 - -35) + (154 - 8) + -17 - (1 + -3)?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 154*m + 3329 = -892*m - 40603 for m.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1232 and 777128.\nAnswer: 10879792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1437615, -1437617, -1437619?\nAnswer: -1437621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72227 is divided by 121.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 52380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 7*t + 4*t - 10*t. Let a(g) = 24*g**2. Calculate d(a(q)).\nAnswer: 24*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11\/(330\/(-6)) - (-48)\/(-10)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*m**2 + 2*m**2 + 18*m**2 - 2 - 2*m**2 + 2 + (-2*m + 0 + 0)*(0*m + m + 0*m) - 2*m**2 + 4*m**2 - 3*m**2 + 4*m + 2*m**2 - 4*m + m**2 - 4*m**2 + 2*m**2.\nAnswer: 27*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the first derivative of 6*b**4 + 18*b - 41. What is the first derivative of y(v) wrt v?\nAnswer: 72*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -q**3*x**2*z + 2*q**3*z**2 + 18*q**3*z - 2*q**2*x**2*z - 3*q*z**2 - x**2*z**2 + 4*x*z wrt q?\nAnswer: -6*x**2*z + 12*z**2 + 108*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 69 by -23.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.903, 0.1, -0.5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 543281 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1814 + 3307?\nAnswer: 16b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*v**3 + 11*v**3 + 17*v**3 - 58*v**3 + 14*v**3 - 3*v**3.\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 572169140 to the power of 1\/2, to the nearest integer?\nAnswer: 23920","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 4*b**2 - 5*b + 5. Is 16 a factor of p(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (0 - (-18 - (-56 - -23))).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes before 7:18 AM?\nAnswer: 1:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 13402 + -344?\nAnswer: 13003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0 times 572\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the third derivative of -w**5\/75 + w**4\/10 + 8*w**3\/15 - 17*w**2. What is a in c(a) = 0?\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -74, -4 in descending order.\nAnswer: -4, -5, -74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 + (-4 + 3)*(-11 - -6). Let w(c) = -c**3 + 5*c**2 - 3*c + 2. Determine w(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13305, -26614, -39925, -53238, -66553, -79870, -93189?\nAnswer: -106510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, -78, 305.3, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -8*q**2 + 1086*q + 15460. Calculate i(-13).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 5 + 94*m + 79*m - 170*m.\nAnswer: 3*m + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -12, -3, -0.047?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -84*i**3 + 21*i**2 + 36*i. Let j(q) = -17*q**3 + 4*q**2 + 7*q. Give -21*j(s) + 4*m(s).\nAnswer: 21*s**3 - 3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -501*b**2 - 55*b - 2056*b**2 + 536*b - 5618*b**2.\nAnswer: -8175*b**2 + 481*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -27*f*o**5 - 2*f*o**4 + 4*f*o + 2*o**2 - 40 wrt o.\nAnswer: -540*f*o**3 - 24*f*o**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80355 is divided by 804.\nAnswer: 759","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6, 40, 142, 324, 610?\nAnswer: 1024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1273258.\nAnswer: 2, 7, 90947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10547*i - 10453*i = 3760 for i.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 203063?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72 = -24*d - 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1803, 1896, 2057, 2292, 2607, 3008, 3501?\nAnswer: 4092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/21 in 16, -2\/17, 8\/9, -3\/2?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 64 - 97. Which is smaller: p or -35?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*z = 104 - 14. Calculate the highest common divisor of 130 and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 612*d**2*p**3 + 107*d**2*p**2 + 2*d**2*p + 6028*d*p**3 - 3*d*p**2 + 722*d wrt p?\nAnswer: 3672*d**2 + 36168*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 112.66 - 114. Let b = z - -1.87. Let a = b - 0.03. Sort a, 4, -0.1 in increasing order.\nAnswer: -0.1, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.01? (a) -2\/15 (b) 1\/27 (c) 4 (d) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12542.088 + 12492. Round q to 1 decimal place.\nAnswer: -50.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 3*d + 0 = -3, 2*u = -2*d - 2. Suppose 5*n - 449 - 61 = u. List the prime factors of n.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 4*o**2 + 13*o + 15. Let h be b(-6). Let f = h - 32. Suppose -87 = -4*t + f. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 0.2 (b) 1156 (c) 0.438 (d) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 142 divide 14208378?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 3 k when four letters picked without replacement from rrxxkxakkakxukka?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 7846 to the power of 1\/2, to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 - (-2 + -1 - (-154 - -112))?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/4)\/(2\/4)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -4*-4*2*(-405)\/395280\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 124000 by 5.\nAnswer: 24800","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) 0.1 (c) -4 (d) -7 (e) -2.882 (f) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c**2 - 4 + 4)*(-6*c + 6*c - 4*c**2) + (c**3 + 1 - 1)*(-36*c - 5*c + 0*c).\nAnswer: -37*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 912 - 612. Let r = 297 - z. Which is the biggest value? (a) r (b) -14 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -57792 divided by 21\nAnswer: -2752","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90683 is divided by 182.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/5)\/((-36)\/15)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**2 - 2*q. Suppose 0 = -2*u + 4*v - 42, 4*v + 1 = -2*u - 1. Let t(l) = l**3 + 5*l**2 - 11*l. Give u*p(z) + 2*t(z).\nAnswer: 2*z**3 - z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -183.373 + 183.298809. What is z rounded to two decimal places?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes before 11:03 PM?\nAnswer: 10:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29 = 5*b - 4*d - 13, 11 = -2*b - 3*d for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, -1\/2787, -1129?\nAnswer: -1\/2787","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**2 + 2788*i + 1943236.\nAnswer: (i + 1394)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 + 12\/(-3) + 2 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106*w + 111*w = 455. Suppose 55 = 2*t - w. What are the prime factors of t?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -4*g**5 - 3376*g**4 - 6716*g**3 + 16864*g**2 + 20208*g = 0.\nAnswer: -842, -3, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-3))\/(1 + 0 + 0).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1.42 - -361208\nAnswer: 361209.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 73604, 73632, 73656, 73676, 73692, 73704, 73712?\nAnswer: 73716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -32*r. Let b = 774 + -774. Determine w(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 177*r - 2219 - 1675 = 0 for r.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 26087561 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-12)\/8 - (-1521)\/278 - 4. Let g = k + 1537\/278. Let z = 81 - 458\/5. What is the common denominator of g and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**2 - a - 1. Let y be l(4). Let f = -35 - 69. Let b = -71 - f. Calculate the greatest common divisor of y and b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 123011220 (base 4) in base 3?\nAnswer: 12122012100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 1. Let t(l) = -l - 1. Give t(k) - 4*x(k).\nAnswer: -k - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the third derivative of 129*k**7\/70 + 39*k**3\/2 - 15*k**2 + 1. Differentiate m(l) with respect to l.\nAnswer: 1548*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -2, 1\/3, 680\/9, -1 in increasing order.\nAnswer: -2, -1, 1\/3, 5, 680\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -109 divided by 5\nAnswer: -109\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6646029.\nAnswer: 3, 13, 19, 8969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 180701*x - 231815 wrt x.\nAnswer: 180701","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vzhh when four letters picked without replacement from {v: 2, e: 7, h: 7, z: 2}.\nAnswer: 7\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7837 + 14281. List the prime factors of t.\nAnswer: 2, 11059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 3*o + 7 = o, -5*y + 9 = -4*o. Suppose y*t = -0*t + 40. Suppose 0*r + 2*r - 10 = 0. What is the smallest common multiple of t and r?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-24)\/(-16)*2\/12. Suppose 4*g = 4*p + 8, 2*g + 8 = 3*g - 3*p. Which is the closest to i? (a) 0.2 (b) 0.4 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 69\/29780 and 53\/2978.\nAnswer: 29780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 16 = -z. Let q(i) be the second derivative of -1\/6*i**z - 1\/3*i**3 + 0 + 0*i**2 - i. Factor q(f).\nAnswer: -2*f*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 465 divide 1112314?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/(-9)*30 - (-4)\/1. Let i be (-2)\/y*-6*(2 + 12). Suppose -p + 4 = 3*a - i, 0 = -4*a + p + 17. Which is bigger: a or 23\/5?\nAnswer: 23\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7152\/3278 + 15086\/(-209)?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 96*u**5 - 192*u**4 - 4508*u**3 - 8972*u**2 + 5344*u - 768. Let g(l) = -l**5 - l**4 + 2. Let f(w) = -32*g(w) - s(w). Find j, given that f(j) = 0.\nAnswer: -4, 1\/4, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**3 - 3*b**2 + 17*b - 10. Calculate w(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 + -1*23\/1. Let b be ((-30)\/25)\/(6\/x). Solve -i + 10 = b*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -111*h - 13*h + 460 = -532 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/i**(7\/4)*i**(-7)\/i*(i*(i*(i\/(i*i**(2\/5)))\/i)\/i*i)\/(i*i**(-3\/8))*(((i\/(i**(-1\/5)\/i*i))\/i)\/(i*i\/i**(-3)))**(-1\/3) assuming i is positive.\nAnswer: i**(-287\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (8*j - 3*j - 7*j)*(-2*j - j - j)*(-4*j + 4 + 6*j - 2) in the form p*j**3 + w*j + l + r*j**2 and give p.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 26 - 15. Let d(i) = 2*i - 12. What is the least common multiple of d(11) and m?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + (-11 - (-3 + 6)) + -91.\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -35387 + 65840. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4910105581 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/446 in 3, -8, 9\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 92752 and 1428.\nAnswer: 1947792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 22*z + 1. Let t be j(-1). Let w = t - -49. Suppose -2*c - 4*d + 0*d + 48 = 0, 27 = 3*c - 3*d. Calculate the greatest common divisor of c and w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(315)\/(sqrt(45)\/(sqrt(9) + 4*sqrt(9))))\/(-2*(sqrt(9) + sqrt(54)\/sqrt(6))*-2)*-2.\nAnswer: -5*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -x, k + 30*x - 17 = 25*x. Let y(a) = 3*a**3 + 5*a**2 - 7*a + 16. Let o(n) = 5*n**3 + 8*n**2 - 11*n + 24. What is k*y(c) + 5*o(c)?\nAnswer: c**3 + c - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -2*v + 5039, -6*t - 12599 = -v - 4*v. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 44 and 4175488.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*q + 4*f, -4*q + 36 = -157*f + 161*f for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (0 + -2) - (11 - 22 - -12).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - 29\/(-8))*9\/((-135)\/(-10))\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u = 2*y + 10, -4*y + 129*u = 134*u + 7 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 89 + -45. Let m(d) = d**3 - d**2 - 7*d + 8. Let y be m(3). Let s = c - y. Is 12 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 + 23?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2738 - -3876. Suppose 29*b - h = 28*b. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 14 = -2*h + 2*t, -32 = -4*h + 5*t. Suppose 0 = -h*s + s + 32. Solve z = 3*z + 4*f + s, f = -2 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 14*n - 292. Suppose 0 = 40*x - n*x - 80. Solve 0 = 6*p + x + 20 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/3*((-567)\/98)\/27?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 1867 = -2*y, 17*f - y = 14*f + 5629. What are the prime factors of f?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 164606888849 and 0.1?\nAnswer: 164606888848.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t + 4. Suppose 3*a - j - 11 = 0, 3*a - 6*j = -2*j + 17. Let z(v) = -3 + 4*v - a*v - 2 + 2. What is 4*g(w) + 5*z(w)?\nAnswer: w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 0.1, 1.4, 0.5, -4.\nAnswer: -4, 0.1, 0.3, 0.5, 1.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(1920)*-3 - (sqrt(1920)*-2 + sqrt(1920))*5)\/(2*sqrt(486)*-2*-6).\nAnswer: 2*sqrt(5)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -384370 > -768737\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -11937362 - -1?\nAnswer: -11937361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b\/(b**(-19)\/b)*b**(10\/9)*b)**(-2\/101))**9)**38 assuming b is positive.\nAnswer: b**(-16492\/101)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ju when two letters picked without replacement from juu.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.4023 + 0.8023. Let k(m) = m + 5. Let u be k(-7). Let v be (-1)\/(-4) - 25\/68. What is the closest to -6\/11 in l, v, u?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:34 AM and 12:19 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -20199 divided by -34\nAnswer: 20199\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-22) - (-18)\/(-22)) + -3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 24708041*x**2 + 94641809 wrt x?\nAnswer: 49416082*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -13322 (base 4) to base 11\nAnswer: -420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96 = -4*h + 25*j, -5*h - 2*j + 36 = 115 + 41 for h.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 z when four letters picked without replacement from {m: 2, z: 4}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2956 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/(608\/(-475)))\/((-1)\/(-2)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -4060000 to the nearest one hundred thousand.\nAnswer: -4100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 236980000 rounded to the nearest 1000000?\nAnswer: 237000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 320553794 to the power of 1\/7, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes before 3:07 PM?\nAnswer: 8:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**3 + 11*o**2 - 5*o + 9. Suppose j - 2*j + 10 = 0. Is u(j) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 times 437\nAnswer: 3496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 13 + 60\/(-8) - (-1 + 6)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2791 by -4.\nAnswer: -2791\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 3*b = 3*x + 5, -x + 3*b = 7. Suppose -6*k = -x*k - 12. Let d(r) = 36*r - 9. What are the prime factors of d(k)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*f - 165 = -35*f + 495 for f.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 316*0.01.\nAnswer: 3.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21 and 4597041?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1121554 (base 6) to base 16.\nAnswer: -e06e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 559299175.\nAnswer: 5, 22371967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2074393 is divided by 19?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-3*((5 + sqrt(147)*3 + sqrt(147))*-3 + 2 + (1 + sqrt(147))*2))**2.\nAnswer: 498960*sqrt(3) + 4802004","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 7*a**2 - a + 1. Let n be p(1). Suppose 0 = -n*k + 2*k + 50. What is the highest common divisor of k and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -87 + 0*u - 90 - u - 83 + 336 - 81. Let c(y) = y + 1. Let k be 18\/(-5) - 6\/15. Calculate k*c(z) - 2*f(z).\nAnswer: -2*z + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -201*j = -205*j + 40. Find the second derivative of u**2 - 2*u**4 + 8*u**4 - j*u**4 + 3*u - 3*u**2 - 32 wrt u.\nAnswer: -48*u**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 1\/7 (b) 1 (c) 1\/2 (d) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n**4 + 59*n**3 - 32*n**2 - 236*n + 80 = 0.\nAnswer: -20, -2, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4643 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 3\/2, -12, -0.3, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-5)\/(-10)*-1*-8*1. Suppose 13 = -3*b + 5*d - 3, -2*d = p*b + 4. Is -4 at least as big as b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 6*z = 9*z + 8, 2*z = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 85 = 3*c. Suppose -58 = -c*u + 16*u. Let k = 62 - u. Solve k*s = 3*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 354678519?\nAnswer: 3, 13, 9094321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-54)\/4*(-694)\/(-49968)?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes before 12:31 AM?\nAnswer: 2:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 80779.47 weeks?\nAnswer: 48855423456000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -2*w - 9, s - 3 = -2*w + 4*s. Let t be 2 - (-4 - -9) - w. Suppose -5*v - 5*j = 11 - 1, -17 = -2*v + 5*j. Solve -2*f - 3 + v = t for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 10*o + 191. Let a be x(-18). Let i(g) = -2*g - 3. Let r be i(-4). What is the second derivative of -r*k - 32*k**2 - a*k + k - 7*k wrt k?\nAnswer: -64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001 (base 2) in base 5?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1154, -2289, -3424, -4559?\nAnswer: -5694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -3 - 1 - (37 + -12) - (13 - 4) - -4\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z = -3*g, 6898*g + 2*z - 15 = 6897*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-5 + 0 + (sqrt(475) + 4)*-5)**2.\nAnswer: 1250*sqrt(19) + 12498","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*z + 242 + 784. Suppose z*h - 3960 = 94*h. Is h a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16152*m - 104 = 16165*m for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:08 PM and 7:36 PM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8.646 - 4.689. Let h = 0.043 + g. Let x be ((-2)\/10)\/((-20)\/(-25)). Which is the second biggest value? (a) -2 (b) h (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(2880))\/(sqrt(9)*-1*2) - ((1 + sqrt(5))*1 + sqrt(5)*2*-6)*3*-6.\nAnswer: -190*sqrt(5) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 67*i**2. Let q(h) = -3*h. What is q(z(r))?\nAnswer: -201*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -94 + 96. Which is the biggest value? (a) d (b) -3 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q = -3*l + 2, 4*l = -5*q - 4 - 6 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p**3 - 826*p**2 - 33764*p = 0. Calculate p.\nAnswer: -367, -46, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 2*p**3 + 3*p**2 - 2*p - 1. Let f be h(2). Suppose f + 33 = 4*k. Solve 5*a - 3*q = 4, 2*a - 4*a - k = 4*q for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (8\/(-6))\/(3\/(-9)). Let a(q) = -2*q**3 - 3. Let w(o) be the second derivative of o**2\/2 + 341*o + 1. Give d*a(k) + 12*w(k).\nAnswer: -8*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.40549 - 0.10549. Which is the third biggest value? (a) 0 (b) -1\/13 (c) -0.4 (d) l (e) -16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1600 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*r + 202*r - 4928 = 0. Let d(y) = y**2 - 3*y - 6. Calculate the remainder when d(10) is divided by r.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and 0.013?\nAnswer: 0.065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 + 1002?\nAnswer: 1011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one twentieth of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/832968 and -199\/210?\nAnswer: 29153880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-9)\/18*(-32)\/8. Solve -2*w + 4*w = -3*c - 1, -2*c - n*w - 2 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in six fifths of a centimeter?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1201.\nAnswer: 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 35146880 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 4 - 2. Let w be i\/(-9)*(-4)\/(-2). What is the nearest to 0.1 in w, -4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 equal to -1\/1823?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2957177\/224 - 13202. Let l be (27\/(-576))\/(1\/((-8)\/12)). Let h = z + l. What is the nearest to 0 in 1, h, 1\/3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.7 plus -12419240849?\nAnswer: -12419240843.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-2 + sqrt(3) + -3)**2.\nAnswer: -20*sqrt(3) + 56","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the second derivative of 58*g + 0*g**5 + 0*g**3 + 0*g**7 + 0*g**2 + 23\/28*g**8 + 1 + 0*g**6 + 61\/6*g**4. What is the third derivative of c(f) wrt f?\nAnswer: 5520*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, -1\/4, 0.11, -2\/3, -539, -2\/11?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the first derivative of -4*v + 1\/3*v**3 - 103 - 3\/2*v**2. Factor i(w).\nAnswer: (w - 4)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0\/(-5) + 1\/4. Which is the nearest to 0.3? (a) d (b) -1 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/(-2) + -2 + 1. Let u(b) be the first derivative of b**3\/3 + b**2\/2 - b + 4. Let z be u(0). Is h bigger than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14 + -7. Let x be 19\/(-4)*(-4)\/1 - -2. What is the greatest common factor of u and x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (3*sqrt(35)*-2)\/(-2*sqrt(63)) + 0)**2 + 0.\nAnswer: -6*sqrt(5) + 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 113, -128, -6\/5 in descending order.\nAnswer: 113, -6\/5, -128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 (base 12) in base 16?\nAnswer: 1f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 2 z when three letters picked without replacement from dddkdzkdddqdddqoqzd?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 25691109?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**4\/3 + 7*t**3\/3 - 5*t**2 + 13*t\/3 - 4\/3.\nAnswer: -(t - 4)*(t - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1349*i*r*u + 2*i*r - 38*i*u + i + 20117*r + 2 with respect to u.\nAnswer: -1349*i*r - 38*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 181 + 0*y**2 - 68 - 49 - 68 - 8*y**2.\nAnswer: -8*y**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6*(-68)\/420 - (-4)\/7. What is the closest to j in -80, 7, 5, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 139*s - 258. Let j be n(2). Solve -6*q = 50 - j for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6966951*t**3 - 583*t**2 - 3240*t + 2 wrt t?\nAnswer: -41801706","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 49 = -31. Suppose 5 - 18 = -d + 4*a, a = -4*d - y. Let w be (-4)\/(-1)*(-4 - -3). Is w <= d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 + 10. What are the prime factors of 0 - (-1 + t - 7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**3 + 3*a**2 + 2*a + 2. Let k be l(-2). Solve -k*j = 3*j + 10 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10 - 1. Let q be 14\/77 + (-713)\/a. Let g be q\/20 + (-1)\/4. What is the second smallest value in 2\/5, g, -4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27.62 - 0.5?\nAnswer: -28.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 8, -76.887 in descending order.\nAnswer: 8, 0, -76.887","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 226 in -4, 2, -8\/17?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -18\/61 or -0.5383?\nAnswer: -0.5383","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 27 - 26.6. Which is the closest to -2\/7? (a) -3 (b) 3 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20466 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 58336693 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57805?\nAnswer: 5, 11, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and 22.\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-109 - 2009*b + 213 - 104)*(-10*b - 6*b + 11*b) to the form f + i*b**2 + j*b and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 2019?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -99\/8 and ((-6)\/(-48))\/(14\/664).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, j: 2, e: 8, n: 4}. Give prob of sequence tjt.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/5 + ((-95140)\/1800)\/71. What is the nearest to 8 in 5, 1\/8, u, -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 5*w**3 + 4 + 8*w**3 - 12*w**3. Let l be k(0). Solve 4*u = l*m - 20, -4*u - 11 = -m - 0*u for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 20\/(-6)*216\/(-40). Let t = o - 19. Let x be 0\/(2 + -1)*t. Which is smaller: -3\/4 or x?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.9, -121, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.7? (a) 2\/11 (b) -1\/6 (c) -3\/4 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ap when two letters picked without replacement from alalltatlaaattlaptaa.\nAnswer: 9\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 13*u**2 - 34*u - 2. Let k be -1 - -13 - (97 - 94). Is y(k) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 35 + -30. Let o(d) = 4*d - d - h*d + d. Let t(v) = -3*v**2 + 11*v - 11. Let i(m) = -m**2 + 4*m - 4. Let w(k) = -11*i(k) + 4*t(k). Calculate w(o(p)).\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + a + 12 = -6*c, -a + 5 = -3*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -24011913.\nAnswer: -4\/24011913","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**2 + 25*n - 80. What is the remainder when 39 is divided by o(21)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1675160580 a multiple of 871?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-3)\/2*-2)\/1. Suppose -v = o*v. What is the derivative of -1 + 3 - 5*d**3 + v + 3*d**3 wrt d?\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -33*i**2 - 78*i. Let m be z(-4). Let w = m + 214. Let n be ((-6)\/4)\/((-7)\/2). Put -5, n, w in increasing order.\nAnswer: -5, w, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -5*a**2 + 17*a. Let s(b) = -9*b**2 + 34*b. Let c(v) = -7*r(v) + 4*s(v). List the prime factors of c(13).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 21614*o - 27976*o + 318100 for o.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 915 divided by 183.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.103 + 0.067. What is the biggest value in 2\/7, 1, -3, b?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 708 = 814*x - 802*x for x.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes after 2:15 AM?\nAnswer: 10:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11537 - 28*v**3 + 11537 + 155*v**3.\nAnswer: 127*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 15134.062 to the nearest 1000.\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + 10 = -k. Let f(h) = -3*h**2 - h. Let q be f(k). Let i = q + 30. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 262562 and 212?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -4*j**2 - 6 + j**2 + 1 + 4. Let c be d(1). Put c, 2\/13, -3 in ascending order.\nAnswer: c, -3, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 4*w - 32, 4*w + 0 = 3*a - 8. Let g = -5 + a. Suppose 3*t + 4*x + 13 = 0, t + 3*t - g*x - 16 = 0. Put -4, -1, t in ascending order.\nAnswer: -4, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3425 - -317?\nAnswer: 3744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*b - 2*b + 7*b - 17.\nAnswer: -b - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 191330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1192*o - 3577\/3 + 1\/3*o**2 = 0 for o.\nAnswer: -3577, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 216665525?\nAnswer: 5, 29, 37, 41, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -86, -97, -108, -119?\nAnswer: -130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 + 12. Suppose 39 + 85 = b*k. Does 13 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7225\/77 + 974\/11. Find the common denominator of g and (134\/(-10))\/(6\/5).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/27, 57, 0.3?\nAnswer: 57","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*i**2 + 44*i - 135608 wrt i.\nAnswer: 4*i + 44","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.134 - 0.134. What is the closest to -0.18 in m, 2, 2\/5, -2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3663\/(-9768))\/((-1)\/(-28)*9)\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 558?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (6 + -2 - 5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -51708 and -51705 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**2 + g - 4. Let f be c(-3). Solve 3*l = -f + 5 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/((-4)\/(-14) - 12\/(-56)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1800.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -110*i**2*x**3 - i**2*x**2 + 49*i**2*x + 3*i**2 + 11*i*x**3 + x**3 - 303*x**2 wrt i.\nAnswer: -220*x**3 - 2*x**2 + 98*x + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -110\/17 + 13\/136. What is the common denominator of k and -139\/6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p + 34 = -5*p. Is 4\/(-16)*p*-10 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4080261?\nAnswer: 3, 1360087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8\/31? (a) 22 (b) 0 (c) 50\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 82, -0.06, -155, -0.05 in decreasing order.\nAnswer: 82, -0.05, -0.06, -155","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -3*o + 97, -o - 30 = 4*h - 81. Suppose -6*a + o = 5. Let p = 0.9 - 1. What is the closest to 0.2 in a, -1, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 2*d - 5 = 2*r, 4*d + 9 = 3*r. Let n = 224 + -219. Let p be r + n + 10 + -16. Is p equal to -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 196880459 and 6122?\nAnswer: 3061","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.3 (b) -2\/29 (c) -9 (d) 5 (e) -0.4 (f) -16 (g) -2\/173\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 785936*c**2*i + 21*c*i - 16*i - 4 wrt c.\nAnswer: 1571872*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -313 - -293.8. Let n = -14.2 - b. Let s be 6\/(-4)*(-8)\/(-9). Put s, 0.1, n in ascending order.\nAnswer: s, 0.1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k = -3*j - 3, -105 - 52 = -235*k + 272*k - 3*j for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -29*d + 80. List the prime factors of 63\/(-6)*40*d\/(-6).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -543*m**3 - 2*m**2 + 117. Let x(p) = 2717*p**3 + 11*p**2 - 583. Let q(l) = -11*r(l) - 2*x(l). Differentiate q(a) with respect to a.\nAnswer: 1617*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 131994 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: How many minutes are there between 1:35 PM and 10:21 PM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sd when two letters picked without replacement from {d: 1, f: 2, s: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * -974.\nAnswer: -194.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.1321 and -5?\nAnswer: 5.6605","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 307010*b**5 - 303280*b**2 wrt b.\nAnswer: 18420600*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 - (-2 - 1 - -7). Suppose 2*l + 3*v - 3 = 0, v - 62 = -2*l - 65. Put l, -1, f in ascending order.\nAnswer: l, f, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times -606\nAnswer: -60.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 30588 by 12.\nAnswer: 2549","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = o - 38. Suppose o*r - 1482 = 4*r. List the prime factors of r.\nAnswer: 3, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50 = 29*b - 5*b + b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (0 + -3 + (0 + (1*sqrt(320)*-4 - (sqrt(320) + -2 + 5)))*-1)**2.\nAnswer: 7997","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1132 (base 6) to base 12\nAnswer: 1a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h + h**2 - 2*h + 5*h - 3*h**2 - 2*h**2 + 3*h**2 + (-1 + 1 + 2)*(-2*h**2 + 0*h**2 + 0*h**2) - h**2 - 3*h**2 + h**2.\nAnswer: -8*h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 116\/3 - 38. Let f = -11255 - -101297\/9. Let l = -33 + 131\/4. Which is the closest to l? (a) f (b) t (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**2 + 13*d + 27. Let y(z) = z**3 + 10*z**2 - 59*z + 17. Calculate the remainder when y(-14) is divided by r(-11).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**3 + 9*h**2 - 9*h + 12. Let b be z(8). Suppose b*a = 3*a + 559832. Let k = a + 160168. What is k rounded to the nearest 100000?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -898\/7 + 128. Let b = 329160.9 + -329161. What is the third smallest value in b, -64, 1\/4, j?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - 10 = x. Suppose x*t = 30 + 86. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -908 or -4533\/5?\nAnswer: -908","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -3*q**2 - 7*q + 9. Let c be 44\/14 - 2\/14. Suppose c*w - 6 = -0. Let h(g) = 3*g + 5*g**w - g**2 - 3*g**2 - 4. Give -5*h(a) - 2*n(a).\nAnswer: a**2 - a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.087 + 0.087. Is a smaller than 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*a = 917 - 956. Solve -5*z + a*t - 36 = 0, 34*t - 39*t = 3*z + 8 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 270932489 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes before 11:29 PM?\nAnswer: 9:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -20506 (base 7) to base 2\nAnswer: -1001110111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmmmzmmzmmmmmmmmz. Give prob of sequence zzz.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -352618.823 to the nearest 10.\nAnswer: -352620","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -972488339\/2302020 + -1\/230202. Let y = -2262\/5 - p. Let x = y - -146\/5. Which is the closest to -3? (a) -2 (b) x (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -37 - -157. Calculate the greatest common factor of d and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (67 - (23 + 0)) + (-2 - 0) - (-65 - -78).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + k = -23712 - 4404, 0 = 3*v - 3*k + 84360. Let n = v - -15461. Let i = n + 8757. What is i rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 169 and 121199?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.104 - 0.084. Let f = -3 + 3.02. Let i = j - f. Which is the closest to 2? (a) -4 (b) -0.4 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -32996313 and -32996311 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -49465405 or -49465404?\nAnswer: -49465404","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**2 + 7*o + 5. Let s be w(7). Let q(p) = 3*p - 2. Let u be q(3). Suppose -4*i + u = -13. What is the greatest common divisor of s and i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3017 is divided by 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 598 = 18*h - 2*f + 518, -h + 2*f = -12 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1140127162?\nAnswer: 2, 570063581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -6243, -6228, -6187, -6108, -5979?\n\"Answer: 2*b**3 + b**2 - 2*b - 6244","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2894 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 54731 to the nearest integer?\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 8654149 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 8 + 4 = -s, 2*s - 3 = -n. Suppose 5*p + 2*u - 1 + 2 = 0, -2*p - u = n. Let c be (45\/18 + 609\/(-246))*-2. Which is greater: p or c?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -4*v + 303. Let i be m(0). Let z = 1 - 1. Suppose z*c = c - i. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/17 in 0.08326, 0, 4\/49?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes after 5:12 AM?\nAnswer: 2:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 + -1200220110?\nAnswer: -1200220111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-64)\/24*(-2)\/8*(-63756)\/(-609224).\nAnswer: 3\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((2322\/13932)\/(1\/(-2)))\/((-33)\/27)\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.9 times -7?\nAnswer: 6.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 350334.1257 to the nearest 1000.\nAnswer: 350000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (-4 - -3 - 3)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1756665 and -0.2?\nAnswer: -351333","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**3 + 3*j**2 - 2*j - 2. Let l be f(2). Let p(b) = -5*b + 81. Let t be p(16). Put l, -1, t in increasing order.\nAnswer: l, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-42)\/(-80) + 22\/(-55)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(114) + sqrt(114) + sqrt(114)*-2)*3)\/sqrt(6)*4)**2 + 5*(4 + sqrt(19) + sqrt(1216)*1).\nAnswer: 20 + 45*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21*o**2 + 5*o**2 + 2*o + 23 - 11 - 14 to q + b*o**2 + t*o and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 8, l: 2, z: 2}. Give prob of picking 2 l.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4989 or -64856\/13?\nAnswer: -64856\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 + -4. Suppose -38 = -3*w - h. What is the lowest common multiple of w and 2*1*8\/(-80)*-5?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**3 - 19*j**2 - j + 17. Give z(19).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 148506953 - -0.1894\nAnswer: 148506953.1894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -29840393 or -29840392?\nAnswer: -29840392","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69 = 6*n - 27. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000047719193 to seven dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18098 - 44031 = -3805*f - 1249 for f.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 5*l - 618. What is the remainder when l is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -37447908 divided by -3964?\nAnswer: 9447","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -9 (base 13) to base 11\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/(-5))\/((-6)\/(-45)). Suppose -5*u + 4*u + g = 0. Determine b, given that 18*b - 15\/2*b**4 + b**5 + 43\/2*b**u - 29*b**2 - 4 = 0.\nAnswer: 1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*k + 10*k + 65 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 9954 * 13\nAnswer: 129402","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**3 - 398391*h**2 - 1195200*h.\nAnswer: 3*h*(h - 132800)*(h + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(85)*-1*-1 - sqrt(85) - sqrt(85)*1*1)\/((sqrt(80)\/sqrt(2)*-3)\/sqrt(8)) + -1 + -2.\nAnswer: -3 + sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3314.316048 rounded to 1 dp?\nAnswer: 3314.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1599 - 939. What is f rounded to the nearest one hundred?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + d**2 + 0)*(1 + 1 + 2 - 2 + 3 + 0 + 4 - 7 - 6 + (-1 + 5 - 5)*(1 - 3 - 1)) as y*d + s*d**2 + l and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.424066 weeks in minutes?\nAnswer: 34514.58528","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*i**4 + 10*i - 297.\nAnswer: -12*i**3 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 60 and 465.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 38496961 to the nearest integer?\nAnswer: 338","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20200220 (base 3) to base 16.\nAnswer: -1314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*w + 7 = 27*w - o, -2*o - 5 = w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*j - 60 = -53*j. Suppose -f + 4 = h, 33 - 41 = 3*f - 2*h. Is j at most f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes before 3:20 PM?\nAnswer: 10:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1614749 or -1614743?\nAnswer: -1614749","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 394974 to the power of 1\/3, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -284*m + 869*m - 19305 = 0 for m.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 5*w - 20 = 0. Let p(s) be the third derivative of -17*s**4\/12 - 5*s**3\/3 - s**2 + 76951*s. Let m(r) = -23*r - 7. Determine w*p(a) - 7*m(a).\nAnswer: -9*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.1 + -0.1. Let m = x - 0.3. Let y be 1092\/(-266) - (-2)\/19. Which is the second smallest value? (a) y (b) -0.5 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**2 - 6*o - 3. Suppose 0 = 2*a + 3 - 15. Give c(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -44757 + -16?\nAnswer: -44770","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the first derivative of -40 + 1\/3*h**3 - h - 9\/2*h**2. Calculate v(9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7942 and 1531362.\nAnswer: 722","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7761 is divided by 36?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*m = -35*s + 118, 1513*s - 1514*s - 3*m = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(12\/3)*-92. Let y(r) = 25 + 20 - h. Let o(u) = -2*u - 1. Let p = -6 + 8. Calculate p*y(x) - o(x).\nAnswer: 2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(98) + (-2*sqrt(98))**2)*-5 - (sqrt(22) - (sqrt(22) - (sqrt(22) + (sqrt(44)\/sqrt(2) - sqrt(22))))*-5)\/sqrt(11).\nAnswer: -1960 - 36*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*g + 137*g - 25*g - 1504 = 516 for g.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*u**4 + 1 - 1 + (11 - 11 + 5*u)*(3*u**3 + 2*u**3 - 4*u**3) - 4*u**3 + 2*u**4 - 4*u**3 - 7*u**4.\nAnswer: -2*u**4 - 8*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 5*t - 24 = 0, -16*t - t + 72 = -3*r + 4*t for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -43 and -5.2.\nAnswer: 223.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 1237 divide 5936363?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*d**3 - 22*d**4 + 4*d**3 + d**4 - 4*d**2 + 4*d**2 + (-d**3 - 2*d**2 + 2*d**2)*(0*d - 3*d + d) + 4 - 4 - 2*d**4 - 4*d**4 + 5*d**4 + 0*d**4.\nAnswer: -20*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 18087159?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the third derivative of -l**7\/105 + 151*l**5\/30 + 461*l**4\/24 + 2*l**3\/3 - 574*l**2 - 4*l. What is the second derivative of s(o) wrt o?\nAnswer: -24*o**2 + 604","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j**2 - j**2 + 0*j**2)*(0*j**2 + j**2 - 2*j**2) + 3*j**4 - 4*j**4 + 3*j**4 + 2*j**3.\nAnswer: j**4 + 2*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 18743 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 5 (b) 2\/9 (c) -10 (d) -5304 (e) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-7 - 47 - 17)*(0 - 6 + 7) - 1 + 4 - 4)*(3 - 3 - 2)*(-p - 2 + 2).\nAnswer: -144*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -63 + 163. Let s = -97 + t. Which is the third biggest value? (a) 4 (b) s (c) -5 (d) 2\/67\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 + -128?\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001852 rounded to 6 dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes before 1:21 PM?\nAnswer: 7:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add -169545 and -4384306.\nAnswer: -4553851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*l - 92 = -56. Suppose c - 71200 = -4*c + 5*n, -l*c - 3*n = -56981. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1082, 4, 1\/10, 1.9, 3\/5.\nAnswer: -1082, 1\/10, 3\/5, 1.9, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 557 a factor of 11987197?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2387)\/(-28))\/11 - 8 - 8\/(-16). Sort -2\/11, 5, -1, -5, h in descending order.\nAnswer: 5, h, -2\/11, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*d = 4*h - 11*d + 11, -4*h + 3*d = 17 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*t - 20*t**2 + 29*t**2 - 13*t**2 - 8*t.\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2334274 and 26468?\nAnswer: 1018","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**2. Let x be 6*(2 + (-6)\/4). Let t(o) = -2 + x - o - 1. What is t(q(h))?\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-128)*1)\/(3993\/484)\nAnswer: -1\/176","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 10, k: 4}. What is prob of picking 3 k and 1 q?\nAnswer: 40\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 6\/5*j**2 + 2\/5*j**3 + 4\/5*j.\nAnswer: 2*j*(j - 2)*(j - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12 - -8. Let d = -0.207 - -0.607. Let b be 2\/15*6\/4. What is the closest to b in d, g, 3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q + 1. Let w(h) = 1. Let j(t) = -u(t) + w(t). Let d(m) = -12*m**2 - 13*m. Let i(z) = -2*z**2 - 2*z. Let g(l) = 6*d(l) - 39*i(l). Determine j(g(a)).\nAnswer: -6*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -12*v - 118. Let y be a(-9). Which is bigger: -76\/7 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 306 is divided by 103.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 49814669 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 280.5 and -846.\nAnswer: -237303","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63590048893*k + 63590048893*k + 2*k**2.\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -10*a + 3. Suppose -2*l = -0*l - 10. Let u = -22 - -24. Let b(z) = 0*z - u*z + 2 - 4*z - z. Determine l*g(w) - 7*b(w).\nAnswer: -w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*d - 34*d + 5 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -182916 divided by -9\nAnswer: 20324","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 27\/28 and 19\/10780?\nAnswer: 10780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1646001501871 and 1?\nAnswer: 1646001501872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 4*n. Let h(u) be the third derivative of u**3 + 5*u**2 + 0 + 0*u - 1\/24*u**4. Determine h(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.454 + 240.454. Let k = -241 + s. Is 0.65 < k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 823837 is divided by 542.\nAnswer: 539","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l + 15, -5*s + s = 4*l. Suppose -s*k = 4*n + 2, -11*k + 9*k = 4*n + 8. Solve p - k*p = 3*d - 31, -5*p + 19 = -3*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6b649 (base 12) in base 2?\nAnswer: -100011001111011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5882.61 - -5430. Let n = 458 + t. Round n to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -64 - -92. Let c be (-7)\/o + (-21)\/(-4). Suppose -c = 4*w - 9*w. Round w to one decimal place.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -4*j. Let f be v(-3). Let h(q) = 5*q + 2*q - 8*q + f. Let l be h(9). Solve 4*u - m = 22, 4*m + 12 = 2*u + l*m for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2903.577139 rounded to one decimal place?\nAnswer: -2903.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 94\/63 - 16\/9. Let b = 14.19 + -0.19. Let s = -12 + b. What is the closest to -1 in n, s, 0?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000004335 to 7 decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*h + y + 3, 2*h - 7*h = -y - 10 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*g - 3*g**2 + 15*g - 10260 - 10318 + 20578.\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 8*y**2 + 21*y + 86. Let f(r) = -8*r**2 - 17*r - 85. Give 5*f(c) + 4*n(c).\nAnswer: -8*c**2 - c - 81","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1155\/2, 2\/5, 3, -9, 0.5 in descending order.\nAnswer: 1155\/2, 4, 3, 0.5, 2\/5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 22*o**4\/5 - 58*o**3\/5 - 156*o**2\/5 + 128*o\/5 + 64\/5 = 0. Calculate o.\nAnswer: -2, -4\/11, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, n: 2, c: 8, m: 2}. Give prob of sequence cunc.\nAnswer: 14\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 3\/2, 180\/47 in descending order.\nAnswer: 180\/47, 3\/2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 - 1)*(-944556*k**3 + 11*k - 56*k**4 + 944556*k**3).\nAnswer: -56*k**4 + 11*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwttwtwtwiwwwtt. What is prob of picking 2 w?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1870383694?\nAnswer: 2, 935191847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -17306406*m**2*o + 12*m**2 - 66917360*m*o + 2*m - 2*o wrt m.\nAnswer: -34612812*o + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 517 or -560?\nAnswer: -560","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((3 - 1) + -6)*(-63826)\/5432?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -3\/5 (b) 3\/5 (c) -2\/11 (d) 0.061 (e) 1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -803371, -1606766, -2410161, -3213556?\n\"Answer: -803395*p + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000108572525 to 7 decimal places.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 116\/(-203) + 520\/(-70)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-42)\/8 - (-2)\/8) + (-40)\/8 + 77?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -173, -353, -533, -713?\n\"Answer: -180*x + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -301*w - 6677 - 18005 = 0 for w.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - o + 9 = 1, -21 = -2*y - 3*o. Suppose 0*t = 3*t + 4*h - 22, y*h = 12. Let n = -0.3 - -0.1. What is the second smallest value in -2\/7, n, t?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 w when two letters picked without replacement from {m: 1, w: 1, c: 2, i: 3, n: 4}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16*(-29)\/1392)\/((-1)\/(-46))*(-27)\/(-9)?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -2*b**3 + 38*b**2 + 40*b + 2. Let f be v(20). Suppose -5*q = 3*n + 4 - f, -5*q = -5*n + 10. Put -15, n, -1 in decreasing order.\nAnswer: n, -1, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*n*o**4 - 9737*n*o**2 + 2*n*o + 19906*o**6 + o**3 wrt o?\nAnswer: -48*n*o + 2388720*o**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75555 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.03 - -0.05. Let z = i - -0.02. Put -0.1, -2\/3, z in descending order.\nAnswer: z, -0.1, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 + 34435?\nAnswer: 34433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*k + 7. Suppose -147 = -3*a + k*f - f, f - 3 = 0. What is the tens digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -387*q - 436*q + 4386 = -737*q for q.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -92*t**3 - 19*t**3 - 317*t**3 - 13*t**3 - 50*t**3 - 541*t**3.\nAnswer: -1032*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10110211222 + 10?\nAnswer: 10110212002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-14)\/6 + (-7)\/(-21))*-6. Suppose 7*w = 89 - b. Let i(p) = 7*p + w - 5*p - p. Calculate i(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 12912000?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 711 = 8*c + c. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60*g**3 - 34*g + 108*g - 74*g + 543*g**3.\nAnswer: 483*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 + 5120?\nAnswer: 5122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1\/117 - -37\/234. Put -4\/3, 4, -9, p in decreasing order.\nAnswer: 4, p, -4\/3, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes after 6:02 PM?\nAnswer: 6:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -52\/19 + 259\/171. Let u = -1069\/10 + 107. Calculate the common denominator of u and x.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1514 is divided by 75.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**2 - 22*n + 61. Let l be j(-23). Suppose 36*w + 2154 = l*w. List the prime factors of w.\nAnswer: 3, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 122 and 108016?\nAnswer: 6588976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/6 (b) -3\/7 (c) 29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5, -20, -107, -286, -587?\nAnswer: -1040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000377 rounded to 6 dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -14*o + 108. What is h(9)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 2731?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/((-22)\/(-33)))\/(7*72\/28)?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1993083851652.52 + 1.\nAnswer: -1993083851651.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 350 (base 14) in base 10?\nAnswer: 658","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 440*f + 2459. What is the tens digit of a(11)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -k**2\/3 - 89081074*k\/3 - 1983859436248369\/3 = 0.\nAnswer: -44540537","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44 is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1216\/3 - -414. Which is smaller: t or 10?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-13) - 2511\/8424)*(-1 - -3)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12*(-25)\/((-1050)\/36428)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is c - 1ac7a?\nAnswer: -1ac6b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 15\/20*(-92)\/69\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13 - -36. Suppose -l = -30 - s. What is the tens digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 14, 34, 56, 80, 106?\n\"Answer: s**2 + 17*s - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 132212103 (base 4) to base 8.\nAnswer: 364623","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 3*b**2 - 1. Let k be p(-1). Let z = 6 + -5.7. Let l(a) = -a**3 + 12*a**2 - a + 7. Let m be l(12). What is the closest to k in 5, z, m?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes after 1:30 PM?\nAnswer: 1:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*g**3 + 123439768*g**2 + 178637072 wrt g.\nAnswer: 6*g**2 + 246879536*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(272)*-2)**2 + -2) - (sqrt(17)*4 + 2 + sqrt(17) - (sqrt(1088) + -1)).\nAnswer: -4347 + 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66 + 339 = 3*w. What is the greatest common divisor of 15 and w?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, u: 2, m: 1, y: 11, k: 5}. Give prob of sequence kmk.\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*28\/(-10318)*-11.\nAnswer: 2\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -9003 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -117\/295410320 and -16\/10195?\nAnswer: 295410320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -509, -344, -201, -80?\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*q = -32*q - 37*q + 34*b + 133, -15 = 3*q + 3*b for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 130*l + 8. Let z(o) = 131*o + 6. Give 4*j(u) - 5*z(u).\nAnswer: -135*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 - 8. Let l be (o + 15\/9)*-3. What is the closest to -2\/7 in 3\/2, 4, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 71*s - 20. Calculate the remainder when l(1) is divided by 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the first derivative of 2*x**3\/3 - 316. Let p(d) = 39*d**2 + 3. Give y(p(k)).\nAnswer: 3042*k**4 + 468*k**2 + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -323 in 2\/13, -5, -0.1, 1\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 11*s**3 - 2*s**2 - 3*s - 1. Let q be d(-1). Suppose 0*o + 4*u - 2 = o, 3*o + 4*u = -6. Does 5 divide o\/(-4)*(-1474)\/q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -2*q**2 + q**2 + 0*q**2 + 2*q**2. Let d(a) be the second derivative of -89*a**3\/2 - 11059*a. Calculate d(i(f)).\nAnswer: -267*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (1 + (-1 - -3 - 4))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 1 l when three letters picked without replacement from lgddccccccdllld.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1729.\nAnswer: 7, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 117\/(-26)*4\/(-6). Solve -7 = -4*c - 3*b, a*c - 2*c = -b + 3 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the third derivative of k**6\/120 - k**5\/15 - 5*k**4\/12 - 3*k**3\/2 - 3323*k**2 - 2*k. Determine d(-4).\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-798)\/285)\/(112\/(-720)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-12)*-5*-2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -122211010 (base 3) in base 8?\nAnswer: -31276","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*k - 0. Suppose y + y - 8 = 0, 0 = -3*v + 5*y - 8. Is k less than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2*(-30)\/75*50\/540)\/(2\/(-15))?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -167*c**2. Let g(u) = -u + 295. What is f(g(o))?\nAnswer: -167*o**2 + 98530*o - 14533175","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (10*45\/(-600))\/((2\/192)\/((-384)\/432))\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (11 + -8) - 0 - -18.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1500976, 3001950, 4502924?\nAnswer: 6003898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes before 11:20 PM?\nAnswer: 3:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6720)\/660 + 2*5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzez when four letters picked without replacement from {e: 1, z: 3}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -s**2\/3 + 10640*s - 84907200 = 0. Calculate s.\nAnswer: 15960","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yaa when three letters picked without replacement from ayzyyaaaayyyyzy?\nAnswer: 16\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kb when two letters picked without replacement from swbjsbbhhwbksjbjjjb?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/(-9)*(-3 + 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes after 8:10 PM?\nAnswer: 11:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4349344 divided by -2732.\nAnswer: -1592","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -279 = 9*d - 297 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 2574?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(-4)*((-594)\/(-63) + -10). Factor 1\/7*a - z*a**2 - 1\/7*a**3 + 1\/7*a**4 + 0.\nAnswer: a*(a - 1)**2*(a + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*r - 3*r + 2*r + (-6 + 6 - 1)*(5*r - r - r + (-2 + 2 + 2)*(r + 2*r - r) - r + 0*r - r).\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**4*o)**34*(o\/o**(-3\/5))**48 assuming o is positive.\nAnswer: o**(1234\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 36\/(-3)*1\/(-3). Suppose 0*j = -o*j - 60. What is the remainder when 34 is divided by (0 - 0 - j) + -3?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2\/11, 3, -7, -5?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 163 - 163. Let m(u) be the second derivative of 3*u - 1\/20*u**5 + w + 0*u**2 + 1\/6*u**3 - 1\/12*u**4 + 1\/30*u**6. Factor m(b).\nAnswer: b*(b - 1)**2*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1330 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44 is divided by 25.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 521247*z**6 + 1836105*z**2 wrt z.\nAnswer: 62549640*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-10)*(120\/72)\/(60\/(-4)).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 61 + -48. Calculate the lowest common multiple of y and 7.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-18447)\/286*-94*1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 = 2*n - 171. Let j(y) be the first derivative of y**4\/4 - y**2\/2 + 26*y - 2. Let x be j(0). Calculate the greatest common divisor of n and x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -17*n + 4. Let u be b(2). What is the units digit of -3 + 0 - (u + 4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 6466, 12796, 18986, 25036, 30946, 36716?\n\"Answer: -70*f**2 + 6540*f - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2*((-3)\/(-3) + -5 - -10). Is 18\/f*124\/3 a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.61 and -0.0839.\nAnswer: 0.5261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1*15*15\/((-375)\/25) - -46\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -3*g - 2*g - 39000003, -2*p + 15599994 = -2*g. Round g to the nearest one million.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t = -17 - 8, 4*t = -2*x - 22 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12 - 17 + 38*y**2 + 5 to the form s*y**2 + q + m*y and give s.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-5) - 816\/(-3740)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13.9 - 15.873. What is w rounded to 0 dps?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -2*c**2. Let r(g) = 12*g - 1. Let x(k) = -74*k + 18. Let q(w) = 8*r(w) + x(w). Give y(q(f)).\nAnswer: -968*f**2 - 880*f - 200","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -340 divided by -1.\nAnswer: 340","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (45\/6)\/(143\/(-260)*5).\nAnswer: -30\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(16\/(-6)) + -4 + 2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 - 12*z**2 + 2*z + 57. Calculate the lowest common multiple of 36 and f(13).\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 136 + -136. Which is smaller: 2\/3 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/4)\/((-3)\/(-15)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3584610 at most 3584610?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 8 = 5*q + 22, 2*l - 24 = 5*q. Differentiate -7 + 45*p**3 + 4*p**2 - 107*p**3 - 4*p**l with respect to p.\nAnswer: -186*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j + 17. Let t be h(5). Are t and 9 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 2\/11 (b) -3 (c) -0.11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.01273168 and -215699.\nAnswer: -215698.98726832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -63494*g**3 + 68550 wrt g?\nAnswer: -190482*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 30993?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2646516 to the power of 1\/2, to the nearest integer?\nAnswer: 1627","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(1*(-15)\/12)\/(15\/(-120)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*x**2 + 21*x**2 - 24*x**2 + x**2 + 3706*x.\nAnswer: -2*x**2 + 3706*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*d**2 + 4 - 2 - 11)*(-12 + 8 - 2).\nAnswer: -66*d**2 + 54","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u - 2. Let f be w(9). Let d be f - (-1)\/(-2)*4. Which is the third biggest value? (a) -1\/11 (b) -4 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the second derivative of -a**3\/2 - 2*a + 3. Let n(h) = -2 - 14*h - 13*h + 39*h. What is j(n(s))?\nAnswer: -36*s + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*s + 10 = 19*s. Suppose 21 = 4*k - f, 7 = -k - s*f + 19. Suppose 0 = -3*n + 36 + k. Calculate the lowest common multiple of 2 and n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-80)\/280 - 90\/(-168). Which is the closest to -14? (a) -1\/5 (b) -2\/15 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a minute in milliseconds?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**3 + 10*w**2 - 8*w + 34. Let j be f(-11). Let t be -5 - (4 - j)\/(-3). Let m(v) = -v**2 - 5*v - 2. Calculate m(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - f - 17, -3*i = f - 10 - 8. Suppose 172 = i*s - 103. What are the prime factors of s?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/9 - (-66)\/(-27).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2890287863 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2987 + 3004. Solve 26 = -3*x + 4*u, q*u + 19 = 3*x + 22*u for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -2*o + 10. Let h(x) = -x**3 + 6*x**2 - 8*x + 18. Let w be h(5). Solve -o*y + m = -m - 6, 5*y = -4*m - w for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 4*w**2 + 2*w**2 + 27*w + 8*w**2 - 13*w**2 - 3. Let t be q(-27). Let z be ((-20)\/(-8))\/5*-4. Put t, 1, z in ascending order.\nAnswer: t, z, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 350*d + 280*d + 2079 = 707*d for d.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + 2*u + 4 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**2 - 11*c - 31. Let j be y(-4). Let m be 5\/(((-9)\/6)\/j). Solve 4*n = 2*n + m for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -42 + 18 - ((-2 - -8) + -19)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 divided by -10.\nAnswer: -17\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-2)*(-2)\/(-6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -32 - (3 + (11 - (8 - -5)) - 0)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15288 divided by -49.\nAnswer: 312","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -174*q + 144*q**2 - 168*q + 342*q in the form k + u*q**2 + d*q and give u.\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -24 - -24.031. Let f = -0.076 + i. Let t = 0.835 + f. Round t to 1 decimal place.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 470.1746 microseconds?\nAnswer: 0.4701746","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 7 - (-17 + 15 + 5). Let k(d) be the first derivative of 0*d - d**3 - 9\/2*d**u - 13 + 0*d**2. Find the third derivative of k(b) wrt b.\nAnswer: -108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-10)\/158*(-15)\/25. Which is bigger: 0 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 132 = -4*s. Let l = s + -46. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 13*b - b**2 - 32 + 7 - 81 - 3*b**2 + 5*b**2. Let s be m(8). Solve -j + s - 59 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*r - 8*r = -17*r. Suppose -185*q + 179*q + 27204 = r. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -358*c - 6. Let t(r) = -106*r - 2. What is 6*g(w) - 20*t(w)?\nAnswer: -28*w + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, n: 12, l: 6}. Give prob of sequence lall.\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 179164271 to the power of 1\/3, to the nearest integer?\nAnswer: 564","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -22 + 16. Let t(r) = -r. Let f be t(i). Let s be (12\/(-8))\/(f\/(-8)). Solve 2*a = -s - 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f + 4*f. Suppose f*r + 65 = 5*r. What are the prime factors of r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 65429494 and 4404.\nAnswer: 392576964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.09 and -2570.\nAnswer: -2570.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1\/(-2))\/(7\/(-168)). Let a(p) = p**3 - 12*p**2 + 3. Let k be a(h). Sort k, 1, -4, 0.\nAnswer: -4, 0, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*s**2*y**4 + 102*s**2*y + s**2 + 3*s*y**2 - y**4 + y wrt y.\nAnswer: 72*s**2*y**2 + 6*s - 12*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*n**2 + 0 + 0 + n**2 + 2*n**2 - 4*n**2 + (4 - n - 4)*(0 - 2*n + 0) - 2*n**2 - 2 + 2 + (3*n + 0*n - 2*n)*(n + 3*n - 2*n) - 2*n**2 + 0*n**2 + n**2.\nAnswer: 6*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (54*f - 23*f**5 - 54*f)*(0 - 5 + 3 + 2 + 0 + 3 - 2 - 2 + 2 + (-3 + 4 + 1)*(-4 + 2 + 1)).\nAnswer: 23*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (23 + (-5311)\/235)*(-235)\/(-2)\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -16*f**2*o**2 - 2*f**2*o + 177*f**2 + f*o**2 + 3*f + 29*o**2 wrt f?\nAnswer: -32*o**2 - 4*o + 354","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 9*s - 10 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1240 (base 5) to base 3\nAnswer: -21020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 3*f + 2. Let p(y) = -2*y - 3. Let t(m) = 2*p(m) + 3*z(m). Let h(r) be the second derivative of -r**3\/6 + 2*r. What is h(t(g))?\nAnswer: -5*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 102 - 3?\nAnswer: cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 13*k**2 - 6*k + 6. Let y = 287 - 282. What are the prime factors of r(y)?\nAnswer: 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m - 11. Let o(d) = d**2 + 9*d + 24. Let f be o(-2). Calculate v(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in twenty-seven halves of a microsecond?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*z + 5*z + 63 = 0 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8551?\nAnswer: 17, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 469 - -34. Let y = d + -166. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t + 5. Let p be q(4). Let b(s) = 0*s - p + 2*s + 1. Let u(o) = 2*o. Calculate b(u(i)).\nAnswer: 4*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 220 - 4246?\nAnswer: -4026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s**5 + 1539*s**4 + 125250*s**3 - 2801052*s**2 + 12440040*s + 15364800 = 0 for s.\nAnswer: -88, -1, 10, 582","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 178?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the second derivative of p**5\/170 + 13*p**4\/17 - 241*p**3\/51 + 162*p**2\/17 + 1822*p. Factor l(x).\nAnswer: 2*(x - 2)*(x - 1)*(x + 81)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b5 (base 14) in base 15?\nAnswer: a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -7714, -11233, -14764, -18313, -21886, -25489, -29128, -32809?\n\"Answer: -t**3 - 3512*t - 4201","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3874 in -5, 3, 30, -1, 4?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 143 - 144. Let k be (o + 2 + -2)*-239. What is k rounded to the nearest ten?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65938711493 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 13199 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 9287 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-6)\/(-20))\/(159\/795). Let d(z) be the third derivative of 1\/2*z**4 - 1\/10*z**6 + 1\/10*z**5 + 0*z + 0 + 1\/70*z**7 - 10*z**2 - w*z**3. Factor d(j).\nAnswer: 3*(j - 3)*(j - 1)**2*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 + 9b9c076?\nAnswer: 9b9c072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(150) - sqrt(150)*2)\/sqrt(10)*4)\/(sqrt(108) + (sqrt(108) + -2*sqrt(108) + sqrt(108))*-2 + sqrt(108))*1*5.\nAnswer: -5*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, l: 12}. What is prob of picking 1 r and 3 l?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1728 + 6503. What are the prime factors of n?\nAnswer: 5, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(3*(-10)\/(-6))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 10 - d**2 - 6*d**2 + d**3 - 4 - 8*d. Let p = 16 - 8. What are the prime factors of x(p)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 + 15\/6)*(-2 + 0). Let d be 0 + (-6)\/(-3) - (-2 + 9). Sort -4, r, d in decreasing order.\nAnswer: r, -4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in twenty-nine halves of a kilometer?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 - 3. Suppose c = d - 2*d + 29. Does 15 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 11*w - 3. Calculate y(-3).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 5*a**2 - a. Let o(j) = -j**3 - 5*j**2 + j. Give 3*b(f) + 2*o(f).\nAnswer: -2*f**3 + 5*f**2 - f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {m: 13, a: 5}.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 4107, 4116, 4137, 4176, 4239?\n\"Answer: o**3 + 2*o + 4104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 120 + -120. Let f(m) = -7*m + 1507. Is f(g) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the first derivative of a**5\/5 + 3*a**4\/2 + 13*a**3\/3 + 6*a**2 + 4*a - 3. Let n(q) = 0. Calculate q.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - -9) + -10 - -3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-16)\/(-5) - 2\/10) + (42 - 34). Is n <= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 0*g + 16 = -4*g, 0 = -z + g + 4 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -147 + 147 + 44*g - 181*g to the form a + t*g and give t.\nAnswer: -137","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 72\/24*(-2 - 28\/(-3)). Suppose 0 = -18*j + q*j - 1240. Suppose -t + j = -0*t. What is the greatest common factor of 124 and t?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22201000021011 - 0?\nAnswer: -22201000021011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1657 + -1653. Which is the closest to -0.4? (a) -5 (b) 2\/5 (c) l (d) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes after 8:09 AM?\nAnswer: 7:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 272 and 2203372.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 47\/57, 5, -0.2338, 0.11 in decreasing order.\nAnswer: 5, 47\/57, 0.11, -0.2338","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5672 is divided by 514?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 254486.8 millilitres in litres?\nAnswer: 254.4868","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1539) + -1*sqrt(1539))*4 + (sqrt(1539) - (sqrt(1539)*-2 + -4)))**2 + 4 - ((-6*sqrt(190)*3)\/(sqrt(1210)*3))**2.\nAnswer: 216*sqrt(19) + 1677707\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2501713 is divided by 96?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1502*v - 227719 = -4702*v - 41599 for v.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8375 - -27589. Is 111 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12 - -15. Suppose 3*g - 9 = 0, 13 = p - 0*p + 3*g. Solve -v - 22 = a*o + 2*o, 0 = -p*o - 16 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46298075 + 46298075 - 34*c**2.\nAnswer: -34*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 11) in base 16?\nAnswer: -c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 2)*(-6 + 1 + 0)*(-115 - 214 + 34)*(2*l - 2 + 2).\nAnswer: -2950*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 557986?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5827533 and 69.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 73*r. Let u(d) = 94352*d. Give m(u(h)).\nAnswer: 6887696*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3551597649?\nAnswer: 3, 394621961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*f + 73330 - 72990 = 0 for f.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**3\/3 + 480154*z**2\/3 - 9606561104*z + 48028804320.\nAnswer: -2*(z - 120036)**2*(z - 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 2*i = 18. Let h = i - 3. Solve -6 - h = 3*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -23.1368 + 0.04.\nAnswer: -23.0968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1716 + 595 = 137*k + 1893 for k.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {g: 2, j: 7, o: 1, v: 3, n: 7}?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/63)\/(((-4017)\/(-18025))\/(3\/(-10)))?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -2*y - 4*k, 0*y - 3*y + 21 = 5*k. Suppose -5*h - 4*z - 10 = 0, -21 = -y*h - h + 3*z. Let s(d) = -2*d**2 - 2*d + 2. Calculate s(h).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45.84329ug in grams?\nAnswer: 0.00004584329","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 390 is divided by 56.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5448?\nAnswer: 2, 3, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 30*f + 4. What are the prime factors of o(4)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 4 (b) -5 (c) 0 (d) 13.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 290866420 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f - 5*k = -2, 6*f - 8927*k + 9000*k = -128 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 3*g**3 + 6*g + 167*g**2 - 173*g**2 + 1 - 1. Let q(m) = 6*m**3 - 13*m**2 + 13*m. Let o = -13 - -26. Calculate o*a(k) - 6*q(k).\nAnswer: 3*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + -22 - -7 - (0 + 2 - -63 - 0)?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 5*x = 16 + 34, -56 = -o - x. Suppose 0 = 57*c - o*c. Solve -2*b - 8 + 0 = c for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the first derivative of 0*j - 3\/2*j**2 - 1\/360*j**5 - 1\/18*j**3 - 1\/48*j**4 + 1. Let m(w) be the second derivative of p(w). Let m(d) = 0. What is d?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(85)*-3)\/(1*-2*sqrt(5)) - (-6*(sqrt(2448) - (sqrt(2448) + 0 + sqrt(2448) + sqrt(2448)))**2 + sqrt(2448) + (0 + sqrt(2448))**2 + 3)*-4.\nAnswer: -225204 + 99*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 52268423 to the power of 1\/3, to the nearest integer?\nAnswer: 374","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 26811142 to the power of 1\/2, to the nearest integer?\nAnswer: 5178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*j, 0 = 3*b - 4*j - 8 - 8. Let t be 20\/(-15)*6\/b. Let n = 0 - t. Solve 0 = -n*y - 2*y + 20 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - 1643847*r + 1643845*r + 70 = 0, -r + 179 = -5*k for k.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -219cc (base 15) in base 6?\nAnswer: -2142350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r*r\/r**17*r)**(2\/79)\/(r\/(r\/((r\/(r**(-29)*r)*r*r)\/r)))**(1\/3))**(-4) assuming r is positive.\nAnswer: r**(3264\/79)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 162 is divided by 52?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qkuk when four letters picked without replacement from {q: 1, r: 5, u: 6, k: 3}.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 5*b - 55, -4*b + 4 = -0*b. Let p = n - 46. Suppose k = p*d + 5*k - 256, 0 = 3*d - 5*k - 208. Is 33 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 65306*c**3 + 2*c + 237707.\nAnswer: 195918*c**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 7 - -4035?\nAnswer: 403c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -f + 173. Suppose -3*z + 5*x = 62 + 69, -5*x = 3*z + f. Let g = -27 - z. What is the highest common factor of g and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -8*a. Let l(j) = -242*j + 1. Determine i(l(h)).\nAnswer: 1936*h - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - x + 600 + 15. Which is greater: -212 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 12 - 16 = 4*t, u + 5 = -3*t. Let b(g) = -g**2 + 2*g + 11. List the prime factors of b(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 14, 9, -13, 2 in descending order.\nAnswer: 14, 9, 2, -4, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fb when two letters picked without replacement from vblvvlfvbb?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.36648 minus 3?\nAnswer: -3.36648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/2 - (6 - 8). Suppose 5*l - 3*r = 50 - 3, -3*l + 5*r = -25. Solve 5*g + 22 = -c*p, -4*p = -g - 2*g + l for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17*(2 - 1) - (169 - 217)\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, s: 1, f: 2, g: 2, a: 1}. What is prob of sequence eg?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes after 1:36 AM?\nAnswer: 9:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -1902585 to the nearest one hundred thousand.\nAnswer: -1900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 12323*p + 492910. Give n(-40).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j\/j**(-5\/7))*j**23*j)\/(j**(-4\/15)\/(j*j**(-16))) assuming j is positive.\nAnswer: j**(898\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1089757.\nAnswer: 1089757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 133 + 304*t - 577*t + 278*t to y*t + a and give y.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -s**4*y + 24*s**2*y - 2*s - 423*y with respect to s.\nAnswer: -4*s**3*y + 48*s*y - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 4*p**2 + 2*p - 3. What is y(2)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15763, -63047, -141853, -252181?\nAnswer: -394031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 26982195 to the nearest integer?\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-10)\/(-6) - 2*1. Suppose f + 0 = -6. Suppose 1428 = -138*z - 1495 + 3061. Sort f, -3, z, a in ascending order.\nAnswer: f, -3, a, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 3*g**2 - 19*g + 9. Let v be i(6). Let c = 17 + -24. Put 5, c, v in descending order.\nAnswer: 5, v, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 183 + -181. Let r(o) be the third derivative of -1\/40*o**6 + 0*o - w*o**2 + 0*o**5 + 0*o**4 + 0 + o**3. What is the first derivative of r(m) wrt m?\nAnswer: -9*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/(-25))\/(((-864)\/(-45))\/12)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/16? (a) 1\/592 (b) 0.4 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 11533.51 and -189374.17.\nAnswer: -177840.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (5 - -1) + (-3 - -3 - 0). Let q(f) = -8*f + 1. Let u(a) = 15*a - 2. Calculate z*u(v) + 11*q(v).\nAnswer: 2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9721\/142247 + 10991792579\/875103544. Let b = n - 3\/769. Find the common denominator of b and 34\/5.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/72 and -19\/89179360?\nAnswer: 802614240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -81135335 and -0.381?\nAnswer: 81135334.619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**2*v)\/(v\/(v\/(v*v**(3\/4)))*v)*(v\/v**(-1))**32)\/((v**(-1\/2)\/v)**(-7)\/(v\/(v*v**(-2\/5)\/v))**36) assuming v is positive.\nAnswer: v**(2083\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Do 3609442\/3 and 1203146 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the first derivative of 136*k**5\/5 - 177*k**3 - 775. Find the third derivative of r(i) wrt i.\nAnswer: 3264*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2386?\nAnswer: 2, 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/7 in 0.3, 2, -514?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 101 divide 451975?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**2 + 3*w - 11. Let f be u(-11). Let l = 157\/2 - f. Sort 5, l, -2\/3 in decreasing order.\nAnswer: 5, l, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -126*i - 90 = -36*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2214062 and -22.\nAnswer: -48709364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -39, 1, -179, 4, 3 in descending order.\nAnswer: 4, 3, 1, -39, -179","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 + -7. Let f = -2.002 - z. What is f rounded to three dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5012 - -5017. Solve -3*s + r*b + 30 = -4*s, 3*s + 40 = -5*b for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 - 2. Suppose 5*n - 76 = -5*s + 89, -4*n + 3*s + 97 = x. Let v be (-6)\/45 - (-2294)\/555. What is the greatest common divisor of n and v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -18, -32, -30, -6, 46, 132?\n\"Answer: f**3 + 2*f**2 - 27*f + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29 divided by 15.\nAnswer: 29\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64 = -5*z + 4*d, d + 21 = 2*z + 4*d. Solve -17*k + 25 = -z*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 12*b - 5. Let v(s) = -14*s + 5. Determine 4*j(h) + 3*v(h).\nAnswer: 6*h - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 12697, 8948, 5203, 1462, -2275?\n\"Answer: 2*z**2 - 3755*z + 16450","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + (-1 + 5 - 0) + 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -109096023 to the nearest 10000.\nAnswer: -109100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 540*d - 18918 + 1950 = -41*d + 22540 for d.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 24\/5? (a) 0.2 (b) 29 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4366966?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/(2576\/(-23)))\/((-5)\/2)?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 57 - 41. Suppose -w*z = -0*z - 64. Solve -4*g = y - 10, 0 = z*y - g - 3*g for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**3 - 26*q**2 - 168*q. Let n be d(-14). Factor -3\/5*s**5 + n - 9\/5*s**3 + 0*s - 3\/5*s**2 - 9\/5*s**4.\nAnswer: -3*s**2*(s + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the first derivative of -y + 3. Let n(i) be the third derivative of -1\/12*i**4 + 0*i + i**2 + 4\/3*i**3 + 0. Calculate -8*l(b) - n(b).\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1830\/2135 + (-36)\/(-28) + -1*1.\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21\/3*(-434)\/(-69874)?\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2679 and 9?\nAnswer: 8037","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*v - 60 = 2*v + 297. What is the least common multiple of 6 and v?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 24\/(3 - -1) - 1. Suppose 0 = 3*p - 4*w - 235, b*p = -3*w - 0*w + 411. What are the prime factors of 1233\/p + 4\/(-18)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lss when three letters picked without replacement from {s: 5, p: 2, f: 3, l: 7, x: 1}.\nAnswer: 35\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -43926.9 to the nearest 1000.\nAnswer: -44000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10*(-14)\/(-35))\/((-63)\/7)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -379 - 423?\nAnswer: -802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnw when three letters picked without replacement from {w: 4, n: 7}.\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 932 is divided by 94?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -129*(-7 - -8)\/3. Sort 2, 9, k in increasing order.\nAnswer: k, 2, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 89 + -66. Let l be (3\/6)\/(2\/12). What is the first derivative of y*f - l - 22*f + 2 wrt f?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**3 - 9*x**2 + 4*x + 5. Let v be r(5). Let l = 132 + v. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 7 + 15*i**3 + 10 - 14.\nAnswer: 15*i**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5795\/488 - (14 + -2). Let i(a) = a**2 + 4*a - 2. Let z be i(-4). Do z and j have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3659927104 to the nearest integer?\nAnswer: 60497","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 61395645?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6704.439 + -29.061. Round f to the nearest one hundred.\nAnswer: -6700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (17 + -17 - 11)\/(-2 + 6\/4).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r - g - 436, 5*r + 0*r + 3*g + 428 = 0. Let h = r - -489. Does 21 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -57\/94729088 and -53\/8880852.\nAnswer: 284187264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 28 by -47.\nAnswer: -28\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3 - 7*f**2 - 8*f + 8. Let o be x(8). Let t be o\/(-12) + 38\/3. Solve -3*v = -0*d + 3*d + 6, 0 = -4*d - t for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 138.5 + -138. What is the nearest to -2\/3 in -5, l, 0.2, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 28195 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - j = 66, 211*r - 214*r = j - 119. Which is the biggest value? (a) 1.4 (b) r (c) 0.2 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 60641*n + 181944. Calculate g(-3).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(0 + -4*(sqrt(99) - (-1*sqrt(99))**2)) + -3.\nAnswer: -795 + 24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -367 + 612. Suppose v + 67 = 26*s. Solve -4*f + s = -4*b, -3 + 23 = -4*b for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 + -325?\nAnswer: -324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the third derivative of 0*p**4 + 0 + 0*p - 4*p**2 + 1\/4*p**5 - 1\/12*p**6 + 0*p**3. Find the third derivative of k(x) wrt x.\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (594\/108)\/(22\/6)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q - 3*h, 5*q + 3*h - 68 = 5*h. Suppose q - 4 = 2*w. Suppose -5*z + w*z = -4. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 237203 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5, 9.4, 1\/38, 318, -1\/4?\nAnswer: 318","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-476*m - 224*m**4 + 476*m)*(m + 2*m + 2*m + (1 - 1 + 1)*(-2*m + m - m)).\nAnswer: -672*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 1085*p = 2*d + 1082*p - 6, 0 = 5*d + 744*p - 10 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 128834 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(117)\/((sqrt(99) - (sqrt(99) + -3*sqrt(99) + sqrt(99)))\/sqrt(11)) + (3*sqrt(325) + sqrt(13))**2 + 5.\nAnswer: sqrt(13)\/2 + 3333","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 149*i**3 + 32*i**3 - 10 + 4*i**4 - 33*i + 10 + 35*i to the form x + l*i**3 + t*i + j*i**4 + c*i**2 and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 203*p - 295 = 221*p - 943 for p.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 0.2, -2\/7, 0.147 in decreasing order.\nAnswer: 0.2, 0.147, 0, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 460301 is divided by 22525.\nAnswer: 9801","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(2) - (sqrt(2) + (sqrt(32) - sqrt(288) - sqrt(2)))) + sqrt(16)\/((sqrt(64) - sqrt(64)*-1)\/sqrt(8)).\nAnswer: -89*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, d: 2, g: 3, a: 7, k: 6}. Give prob of sequence gg.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 540\/120*1\/9.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 38 = 44 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5 - 1\/5*r**2 - 2*r.\nAnswer: -(r + 5)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*g = -21*g - 5*m - 30, 3*g = -5*m - 25 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -8597, -17225, -25807, -34319, -42737?\n\"Answer: 4*u**3 - u**2 - 8653*u + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 5*sqrt(1216)*1 + 3 + 1*(2 + (-1*sqrt(1216))**2).\nAnswer: 40*sqrt(19) + 1224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Is 376343767 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*o + 2*o - o + (2*o + 1 - 1)*(-1 - 3 + 3) - o + 1 - 1 + (-1 + 1 - o)*(-6 + 3 + 2) to the form u*o + j and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -5, -106, -99, 4 in ascending order.\nAnswer: -106, -99, -5, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:38 AM and 5:36 AM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -70392*t**5 + 54*t**2 + 315*t?\nAnswer: -4223520*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-1)\/y)**(1\/37)\/(y**(1\/2)*(y*y\/(y*y*((y\/y**6)\/y)\/y))\/y))\/(y**6\/y**(-4)*(y*y**(-5\/2))\/y**(-3)) assuming y is positive.\nAnswer: y**(-668\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1102 or -906?\nAnswer: -1102","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -96492 + 178397. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -422.1 plus -0.554?\nAnswer: -422.654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2, -6968 in descending order.\nAnswer: 2, -1, -6968","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61*o + 3*o - 73 - 72*o + 16*o + 71.\nAnswer: -114*o - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/99 bigger than -630?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 24*l**3 - 16*l**2 - 6*l - 245. Let y(p) = 25*p**3 - 16*p**2 - 8*p - 246. Let a(q) = 4*m(q) - 3*y(q). Find the first derivative of a(t) wrt t.\nAnswer: 63*t**2 - 32*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2436?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19630601 to the nearest integer?\nAnswer: 4431","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 5, -25, -2, 2\/13 in decreasing order.\nAnswer: 5, 2, 2\/13, -2, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 5*b - 196, 6*b - 124 = 3*b - 5*v. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -101.73025 rounded to 1 dp?\nAnswer: -101.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11, 44, 107, 206, 347, 536, 779, 1082?\nAnswer: 1451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**2\/11 + 28*z\/11 + 30\/11.\nAnswer: -2*(z - 15)*(z + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 29220 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, w: 2, d: 1, k: 1}. Give prob of picking 1 r and 1 w.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50 - 16.7.\nAnswer: 33.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 + 1 + 5)\/((-6)\/(-12)). Suppose 4*c = -u*c + 60. Suppose -c*r + 74 = -4*r. What are the prime factors of r?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 220 and 120.\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 2885 (b) -0.2 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the first derivative of -2*z**2 + 1\/4*z**4 - z + 1\/3*z**3 + 27. Give w(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6.1 + 0.9. What is the closest to 0 in 3, n, 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6667809 millilitres to litres.\nAnswer: 0.0006667809","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-17)\/(-5) + (-4)\/10. Solve 4*h - y + 5 = -3, o*h + y = 1 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(80)*-1*-1)\/sqrt(10))\/(sqrt(8)\/sqrt(2)*2 + sqrt(360)\/sqrt(10)))**2.\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 6*a - 7. Let z(j) = -6*j + 8. What is -5*l(h) - 4*z(h)?\nAnswer: -6*h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -3*o - 3*w, 2*o = 5*w - 4 - 4. Let y = o + -3. Suppose -8 = 2*k - 0*h + y*h, 4 = -4*k - 3*h. Solve -x - k = -4 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10212111020010 (base 3) to base 10\nAnswer: -2056674","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 729 is divided by 205?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 10001100 (base 2) in base 4?\nAnswer: 2030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 divided by -175952?\nAnswer: -185\/175952","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 230*q**3 - 3*q**2 - 5670*q + 3. Let n(o) = -232*o**3 + 5*o**2 + 5669*o - 4. Let y(g) = 3*n(g) + 4*w(g). Find the second derivative of y(z) wrt z.\nAnswer: 1344*z + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - 5 - (6 + (-3 - -2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 5*k**3 + 3*k. Let l be g(2). Suppose -20 = l*j - 47*j. Is j a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**2 - 2*a + 1. Let n(j) = 3*j**3 + 40*j**2 - 25*j - 25. Let d(p) = -5*g(p) + n(p). What is the remainder when 165 is divided by d(-12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the first derivative of -x**3\/3 - 4*x**2 - 2*x - 25. Determine j(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(102)*2)\/(sqrt(24)*-1 + sqrt(24) - sqrt(6)).\nAnswer: -8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -4 + 9*106 + -5. Suppose -11*b + 14*b = w. What are the prime factors of b?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 1)*(-14*q - 4*q + 6*q).\nAnswer: 12*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 57353963 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 154657856 to the nearest integer?\nAnswer: 12436","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 28480 and 1680640?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u - 1. Let z(g) = -1. Let w(n) = l(n) + 2*z(n). Let x be 13200\/1500 + (-4)\/5. Give w(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -2, -2\/17, -6 in increasing order.\nAnswer: -6, -2, -0.3, -2\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 + 37. Suppose x = w - j - 4*j, -2*w + 2*j = -46. What is the greatest common divisor of 30 and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -460660 >= -921317\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5*n**4 - 4*n**3 + 28*n**2 - 336*n - 89013744 wrt n?\nAnswer: 20*n**3 - 12*n**2 + 56*n - 336","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -11220222211110 (base 3) to base 11\nAnswer: -1528802","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q + 5*q - 3*z - 78, 4*z - 64 = -4*q. Suppose -b = 4*i + 1, -29*i - q = -2*b - 27*i. Solve b = -3*k - 5 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eight sevenths of a week in minutes?\nAnswer: 11520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*a = -7*a - 5 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 3*u**2 - 9*u + 5. Let t be j(5). Let z(v) = v**3 - 34*v**2 - 33*v - 68. Let s be z(t). Solve w + 5*c = -3, 2*w - 3*c = s*c + 9 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -1, -2, -1\/3 in ascending order.\nAnswer: -2, -1, -1\/3, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32 - (25 + -19) - (-4 + 18)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 10234 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 2*m = 6*m + 10, -9 = -3*p + 3*m. Suppose p*d - 4 = 0, -5*d + 1 = 4*r + 11. Let z(g) = 4*g**2 + g + 7. Is 34 a factor of z(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 127\/4160 and 1\/2118?\nAnswer: 4405440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -2*j**2. Let d(u) = u + 1. Let b(z) = 4*z**2 - 6*z + 5. Let w(m) = -b(m) - 6*d(m). Let o(k) be the first derivative of w(k). Give o(r(l)).\nAnswer: 16*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the first derivative of -x**4\/4 - 8*x**3\/3 - 9*x**2\/2 + 3*x + 1. Let d be h(-7). Let r = 30 - d. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -44, 2, -5, 1, -2 in increasing order.\nAnswer: -44, -5, -2, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 39*h + 608. Give c(-14).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 46*h + 5. What is the hundreds digit of j(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 29.5 - 21.5. Let x be (-208)\/(-273) - 6\/14. Which is the nearest to v? (a) -3 (b) x (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -450959488949 + 0.3.\nAnswer: -450959488948.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -69\/385 - -2\/55. Suppose -2*b + 2*s + 4 = -10, 26 = 4*b - 2*s. Let u = 7 - b. Which is smaller: a or u?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:02 PM and 2:14 PM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 2\/21, -0.5, -9?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16229688 by 1352474.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9, 21, 57, 129, 249, 429, 681, 1017?\nAnswer: 1449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1083369?\nAnswer: 3, 7, 23, 2243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1647.4 + -1647. Let w = 0.12 - -0.08. What is the smallest value in w, -88, u?\nAnswer: -88","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2457)\/(-52) + (-6)\/(-8)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48101 is divided by 99.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the second derivative of m**3\/3 + 9*m**2 + m - 11. What is the lowest common multiple of x(-7) and 14?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3369 to the power of 1\/4, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:52 PM and 10:09 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the third derivative of 1\/150*b**5 + 158*b**2 - 2\/45*b**3 + 1\/180*b**4 - 1\/1575*b**7 + 0*b - 1\/900*b**6 + 0. Find n, given that u(n) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 1 i when three letters picked without replacement from vqvvvivviqvvvqvqqqvq?\nAnswer: 11\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56711?\nAnswer: 56711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*z - 260 = -12*z - 4*a, -z + 136 = -4*a. What is the highest common divisor of z and 638?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 339715248 to the nearest integer?\nAnswer: 698","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q**4\/9 + 203078*q**3\/9 - 609254*q**2\/9 - 203078*q\/9 + 203084\/3 = 0. Calculate q.\nAnswer: -101542, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/296209 at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*b - 413 = 142*b - 83 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -37*a - 577. Calculate d(7).\nAnswer: -836","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 382 divide 619981394?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -136 - -262. Let w = r - 126. Solve w*g - 2*g = -10 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 96354848?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 420551 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 74023067?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 9\/7 + (-4)\/14. Let g be p*3 + 5 + -5. Factor -5\/2*o**g + 1\/2*o - 3\/2*o**4 + 0 - 1\/2*o**2.\nAnswer: -o*(o + 1)**2*(3*o - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*a**3 + 3*a**2 + 35*a**4 - 1 - 64*a**4 - a + 28*a**4 to f + u*a**2 + z*a + l*a**4 + m*a**3 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9665 - 280283\/29. What is the biggest value in o, -1\/162, -3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4 and 250038.\nAnswer: 500076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1207)\/4 - 12\/(-16). Let o = -296 - w. Which is smaller: -2.1 or o?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (51\/(-34))\/((-9)\/30). What is the second derivative of 14*u**4 - l*u + 33*u - 47*u**4 + 15*u wrt u?\nAnswer: -396*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - -16) + -4 + (0 - -2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -15696*d - 832273. Give g(-53).\nAnswer: -385","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -40*p + 10. What is the units digit of o(-7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9.1 - -9. Let b be 0 + (-1474)\/20 - (-12)\/(-15). Let p = -74 - b. Put j, -1\/7, p in decreasing order.\nAnswer: p, j, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -6\/10175 and -52\/5325.\nAnswer: 2167275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 164*v + 331695 - 328907 for v.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-6)\/4)\/((-6)\/16). Let k be 12\/(-48) - 50\/(-8). Suppose -o*v + 66 = -k. Is 4 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccsb when four letters picked without replacement from bscbbsmbbcbbb.\nAnswer: 4\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 7*k. Let j(r) = -212*r**2 + 5. Let m(t) = 9435*t**2 - 222. Let u(v) = -222*j(v) - 5*m(v). Determine w(u(l)).\nAnswer: -777*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(847) - (-2 + sqrt(847)*1))**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 36 and 1995300?\nAnswer: 1995300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 11 = 34*s - 30*s, n = -3*s for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 16237 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.1347 rounded to 1 decimal place?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4553636 divided by 2276818.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(85) + 2*sqrt(85)*-3)\/sqrt(5).\nAnswer: -5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 8738.354 millilitres?\nAnswer: 8.738354","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 1163 divide 5849890?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v*v\/(v*v**6*v)*v*v*v)\/(v*v**9))\/(v**(3\/2)\/v*v*v**(1\/9))*((v*v*v**(-1\/2)*v)\/(v*v*v*v\/v**(-2\/11)))\/(v**(-2))**(-7\/6) assuming v is positive.\nAnswer: v**(-1745\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -l - 3*u, -5*l + 7 = -62*u + 58*u. Calculate the common denominator of -1 + -1 - 3\/38 and l - (-174)\/40*(-36)\/54.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -743994 by -2.\nAnswer: 371997","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 411*x**5 + 112*x**2 - 592612*x wrt x.\nAnswer: 8220*x**3 + 224","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 35958, 39213, 42466, 45717, 48966, 52213, 55458?\nAnswer: 58701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (30\/(-9))\/(2\/(-3)). Let j(h) be the first derivative of -h**3\/3 + 5*h**2\/2 + 2*h - 11. What is j(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 + -1. Suppose -l + q*l = 4. Let g = l + -1. Sort g, 4, -3.\nAnswer: -3, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 20 + -12. Suppose 3*l = -3*m, 0 = 5*m - 4*l + b*l - 4. Solve -m*i + 0 = 12 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7470224306 - 7470224312.299999522. Let o = 6.3 + f. Round o to seven dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66365?\nAnswer: 5, 13, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*q + 115 = 93*q. Solve -7*o + q = -23 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(324)\/(sqrt(6)\/sqrt(48) - sqrt(2) - sqrt(2)).\nAnswer: -36*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -974*f**3*k - 2*f**3 - k**2 - 17 with respect to k.\nAnswer: -974*f**3 - 2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.079437388 to 3 decimal places.\nAnswer: -1.079","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (15 - 15 + 7*i**2)*(2*i - 4*i + 0*i + 9*i - 2 + 2 + (-3 - i + 3)*(0 + 0 - 1)) in the form a + c*i**2 + s*i + l*i**3 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21212 + 11?\nAnswer: 22000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -125*b - 1580 = -2267 - 4938. Let u(h) = -h + 1. Let k be u(-6). Suppose -k*z + 180 = -6*z. What is the greatest common divisor of z and b?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes before 4:57 PM?\nAnswer: 7:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*u + 2589995 - 2589978 + 5*u.\nAnswer: u + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 257\/174 - -2\/87. Let l = -0.51 + 22.51. Let t = -22.2 + l. Which is greater: t or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**3 - 2*f**2 + 3*f + 2. Let m be d(-3). Suppose n + 0 = m. Let s = -5 + 9. Solve x - 2*x = n*r + 3, -36 = 4*r - s*x for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1415 = 33*j - 70. What is the greatest common factor of j and 72?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 259740799 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23826916?\nAnswer: 2, 421, 14149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -47, 41, -517.\nAnswer: -517, -47, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 49109 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**2 + 1. Let b = -28 + 48. Suppose -10 = -13*c + 9*c + 2*l, -l = 5*c - 30. Let w(d) = -5*d**2 - 4. Calculate b*r(i) + c*w(i).\nAnswer: -5*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2011112112201 (base 3) to base 10.\nAnswer: 1152217","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*u**5\/2 + 55*u**4 - 905*u**3\/2 + 1720*u**2 - 3010*u + 1960 = 0. Calculate u.\nAnswer: 2, 4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(1\/5)\/(o\/(o*o*o*o**(-2\/9))*o)*o*(o**(-8)*o*o)\/o*o**(-5\/2) assuming o is positive.\nAnswer: o**(-677\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*f + 13*f + 104 for f.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(2\/37)*l\/(l*l\/l**(-7\/4)*l)*l*l)\/(l**(4\/3))**37 assuming l is positive.\nAnswer: l**(-22657\/444)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.3 and 3114?\nAnswer: 3113.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - q = -0*h + 57, -3*h - 5*q + 118 = 0. Is 12 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -172827\/10 or -17282?\nAnswer: -172827\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14915?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 - -2.8. Let j = 1.39 - 62.39. Let q = -61 - j. What is the closest to q in 1\/8, y, 0.5?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**2 + 9*v + 11. Let z be l(-8). Let r be 1*z\/6*18. Let d = r + -3. What is the lowest common multiple of d and 20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 1200*a + 450755. What is u(-376)?\nAnswer: -445","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10289492, -20578994, -30868494, -41157992, -51447488, -61736982, -72026474?\nAnswer: -82315964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 6*k**2 - 8*k. Let h be (2\/(-3))\/(2\/(-15)). Let m(g) = -4*g**2 + 5*g. Let i(s) = h*p(s) + 8*m(s). Let d(f) = 3*f**2. Calculate d(i(v)).\nAnswer: 12*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3751*m = 1992*m + 1886*m + 4445 for m.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -51 + 1 + (19 - 18) + -24 + -12 + 27.\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the second derivative of -s**5\/130 + s**4\/39 + 64*s**3\/39 - 128*s**2\/13 - 350*s. Factor z(p).\nAnswer: -2*(p - 8)*(p - 2)*(p + 8)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 157 + 2*h**2 - 157 - 6*h to the form o*h**2 + g + i*h and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 9 = w. Let b(g) = g - 1. Let n be b(w). Let v be n - (1 - 17)\/1. Calculate the highest common factor of 36 and v.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 50, -48, 3, -1, 6, -5, 4 in ascending order.\nAnswer: -48, -5, -1, 3, 4, 6, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*-4*sqrt(39)\/(sqrt(3) - (sqrt(3) - sqrt(75)))*1.\nAnswer: 16*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 839.971915 + -790.7719417. Let f = -49.2 + q. Round f to 6 dps.\nAnswer: -0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-26)\/8 + (-3)\/(-12). Let x(o) = o**2 - 7*o + 4. Let k be x(6). Which is smaller: j or k?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1001 + 2030210?\nAnswer: 2031211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 916921 or 916914?\nAnswer: 916921","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -125*w**2 + 52*w + 46. Determine p(-1).\nAnswer: -131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10*f*g**3*h*v - 832*f*g**3*v - 45*f*g**2*h + 2*f*g*h*v + 11*f + 1473*g**3 - 3*g**2*v - 3*g**2 + 4*g*h*v + v wrt g?\nAnswer: 60*f*h*v - 4992*f*v + 8838","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-9*24\/(-252))\/(3\/14) - 0. Solve -t + 3*m = 4, -4 = 5*t - p*t + 4*m for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s = 47608 + -27682. Is s a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*5*(sqrt(19) + sqrt(475)*2) - (sqrt(1216) + 1 + 5)*3)**2.\nAnswer: -11016*sqrt(19) + 1779408","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**3 - 2*p**2 - 2*p - 7. Suppose 0 = 4*o + 17 - 33. What is the tens digit of r(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.97 + -137.03. Let p = 427 + k. Let x = p + -270.7. What is x rounded to zero dps?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 3*v + 31 = 0, 12 = 3*k + 5*v - v. Find the third derivative of -17*f**2 - 4*f**3 - k*f**3 - 2*f**3 wrt f.\nAnswer: -84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2640.32 or -31?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + z = -20. Suppose -110 = -5*p - 5*f, 5*p - 186 = f - 40. Calculate the least common multiple of p and z.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(272)*-1*3)\/sqrt(8))\/(-2*(-1*sqrt(350))\/sqrt(7)))**2*5.\nAnswer: 1377\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 89814434 to the power of 1\/3, to the nearest integer?\nAnswer: 448","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 4, p: 3, d: 6}. Give prob of picking 2 d.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 7868*a**2 + 7870*a**2 - 3.\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the third derivative of -s**7\/1260 - s**6\/108 - 2*s**5\/45 - s**4\/9 - s**3\/6 + 4*s**2. Let b(u) be the first derivative of i(u). Factor b(m).\nAnswer: -2*(m + 1)*(m + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 4770?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 3*z = 5*n + 220, 5*n + 220 = -z. Let j = 48 + n. Solve -j - 12 = -4*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*x**(-3)\/x*x\/(x\/(x\/x**(-12))*x*x*x)*(x\/(x**(-2\/17)\/x*x*x)*x)**(-27) assuming x is positive.\nAnswer: x**(-394\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dwh when three letters picked without replacement from dhdwhhhddwhwdhhh?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 + -2.1. Let q = -4 - -7. Let t be 3 + (-33)\/6 + q. Which is the nearest to i? (a) -0.1 (b) t (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07 times 1150?\nAnswer: -80.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + b**3 + 2*b + 22*b**3 - 35*b**4 - 21*b**3 - 7 to f*b**2 + r*b**4 + p*b + m*b**3 + v and give r.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -2*j**2 + 15*j - 9. Calculate s(0).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - u - 3. Let v = 3.86 - -0.14. Let d be (9\/9 - -8)*1. What is the third smallest value in d, v, u?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -3*p + 566, 3*i + 4*p - 251 = 93. Does 20 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 195869 is divided by 193315?\nAnswer: 2554","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/(-7))\/((-568)\/(-2982)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 42370 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4074\/107 or -37?\nAnswer: -4074\/107","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and 1.655.\nAnswer: 6.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t**2\/2 + 9*t\/2 - 81\/8 = 0.\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*v + 28 - 1 = 0. Suppose 0 = o - h - 6, -v*h - 2*h + 40 = 5*o. Solve 3*y - o*y = 3*i + 1, -3*y = 2*i + 2 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-16065)\/(-150))\/63*1\/(-2). Which is the second biggest value? (a) 1 (b) h (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:49 AM and 12:13 PM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}