diff --git "a/data/dm_maths/full_data/1097_11255.jsonl" "b/data/dm_maths/full_data/1097_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/1097_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is 2498759 to the power of 1\/2, to the nearest integer?\nAnswer: 1581","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -2 - 2*k + 63*k**2 + 0 + 1 + 0. Let f be l(-1). Suppose 5*y - 6 = f. Does 14 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**2 + 9. Let n = 19 - -402. Suppose 417*u = n*u. Calculate h(u).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.006595302 to six dps.\nAnswer: -0.006595","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (15*-57)\/(-27 - -26). Suppose 891 - i = 2*m. Calculate the greatest common divisor of 66 and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 3, 5, -32, 22, -9543, -5 in decreasing order.\nAnswer: 22, 5, 4, 3, -5, -32, -9543","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20\/7, -4, -1\/8, 5, 188\/9.\nAnswer: -4, -20\/7, -1\/8, 5, 188\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*f - 13575330 + 13575330.\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*z = 98 + 37. Let -66*k + 120*k + 102 - 2*k**2 - 52*k - 59*k + z*k**2 = 0. Calculate k.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**2 + 7*f + 4. Let z be n(6). Let o be (9 + -11)*(-30)\/4. Let c be (z\/(-10))\/((-1)\/o). Calculate the highest common divisor of 5 and c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 524, 525, 526, 527, 528?\nAnswer: 529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -263*t - 8908. Determine f(-32).\nAnswer: -492","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6772040 rounded to the nearest 100000?\nAnswer: 6800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 6*x. Suppose 0 = 2*d + 4 + 2. Let p be w(d). Let a = -11 - p. Solve -10 = a*t - 2*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:31 AM and 3:19 PM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 284*w - 286*w + 3*w**2 - 2 - 5*w**2. Let l(m) = -6*m**2 - 7*m - 6. Give -2*l(j) + 7*x(j).\nAnswer: -2*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/3 - 2\/(-6). Let n = -103 - -108. Solve y = -n*c - 0*c + 10 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -470*b + 9 = -461*b. Are -4103\/7 and b equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1\/5 + 22\/35. What is the third biggest value in -2\/13, 86, t?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the second derivative of -l**5\/20 - l**4\/2 - l**2 - 4*l. What is b(-6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8241256, 4, 1.\nAnswer: 1, 4, 8241256","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 745857 divided by -4.\nAnswer: -745857\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the first derivative of -867*c**3 - 27*c - 4913\/4*c**4 - 459\/2*c**2 - 19. Factor m(j).\nAnswer: -(17*j + 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wskbd. Give prob of picking 1 w, 1 s, and 1 k.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1*1\/4*231\/(-154)\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3 or -310\/113?\nAnswer: -310\/113","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 44587968?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14744?\nAnswer: 2, 19, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/10)\/(39\/(-26))\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -220 + -1656405?\nAnswer: -1656625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000007655003917 rounded to six dps?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.38? (a) -0.2 (b) -2\/9 (c) 0.11 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76*x + 1734 = 8*x + 138 for x.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-119)\/(-7)*(-3)\/(-3). Suppose -15 = -5*x, -v - 5 = -5*t + x. Solve -3*s**t + 8*s**3 - 10*s**3 + 5*s**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 147131?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 16) to base 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 106 (base 8) to base 12.\nAnswer: 5a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 48704?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 19 and -1.6402?\nAnswer: -31.1638","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 plus -2.3111128?\nAnswer: -19.3111128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -23*h + 164. Let j be g(7). What is the third biggest value in j, -1\/2, 1\/16, -1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*y**4 + 19*y**3 + 137867*y**2?\nAnswer: 144*y + 114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1126*p - 875 + 222*p - 504*p - 3*p wrt p.\nAnswer: -1411","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:37 PM and 1:11 AM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes before 9:06 AM?\nAnswer: 3:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*s**5 + 2*s**5 + 2*s**5 + (-s**4 + 0*s + 0*s)*(s - s - 2*s) + 3*s**4 + 3*s**5 - 3*s**4.\nAnswer: 9*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 212*7.5\nAnswer: 1590","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1541708964 and 6?\nAnswer: 1541708964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffmfcomoc. Give prob of sequence mf.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 16) in base 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 78 + 42. Let r be (-18)\/(-1) + z\/20. Let s = 207 - r. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2\/11 + 10*u\/11.\nAnswer: -2*u*(u - 5)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nucccucucuccinic. What is prob of picking 3 c and 1 i?\nAnswer: 4\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes after 5:18 AM?\nAnswer: 10:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kux. What is prob of picking 1 x and 1 k?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73 + 13 = -12*v. Suppose -4*w = z + 19, 3*w = v*w + z + 9. Let m(u) = 3*u + 23. Calculate the least common multiple of 11 and m(w).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -144 - -150. Is (2\/a)\/((-3)\/9)*-251 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 241493.4 - 0.3?\nAnswer: 241493.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1.34019289 from -463.813.\nAnswer: -462.47280711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -134*n**2\/9 + 446*n\/3 - 1204\/9 = 0.\nAnswer: 1, 602\/67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*-55480951.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from {a: 3, b: 3, c: 3, h: 3}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r**2 - 2*r**2 - 2*r**2)*(1193 + 5376 - 1181 + 122 + 4134).\nAnswer: -19288*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4084407 + -0.06?\nAnswer: 4084406.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4.293 + 2.293. Which is the closest to h? (a) -4\/7 (b) 0.5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 272055.\nAnswer: 3, 5, 7, 2591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 15 = 4*f, -25*g - 14 = -23*g - 4*f. Is g at most 30\/119?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -842089 + 10976697\/13. Let s = 2269 - j. Calculate the common denominator of s and -2\/3.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3329, 6660, 9991, 13322, 16653, 19984?\nAnswer: 23315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 629759 to the power of 1\/3, to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16589?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 4*m**2 - 9*m - 31. Let q be r(9). Solve -40*v + 52 = q for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.1173422 rounded to zero dps?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(600) + sqrt(600) - sqrt(600))\/(sqrt(288) + sqrt(288)*1)*-5.\nAnswer: 25*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 498405 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1701316 + 12?\nAnswer: 1701330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 38729, 77491, 116251, 155009, 193765, 232519?\n\"Answer: -f**2 + 38765*f - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 644 + 642 - 1926 + 640 + 5116*l to the form c*l + t and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the third derivative of -u**8\/336 + u**7\/42 - u**6\/18 + 19*u**3\/6 + 2*u**2. Let l(w) be the first derivative of f(w). Factor l(o).\nAnswer: -5*o**2*(o - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 271?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(700) - -1*sqrt(700)*-2) + sqrt(700) + -2 + 5 + 1*sqrt(700) + (-1 + sqrt(700))*2)**2*6 + 2.\nAnswer: 360*sqrt(7) + 37808","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-36)\/4 - (3 + -1). Let y = 16 + c. Suppose 4*u - y = -u. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the second derivative of 17*p**7\/21 + p**4\/4 - 4*p. What is the third derivative of l(c) wrt c?\nAnswer: 2040*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 4*b**4 + 180*b**3 - 15680*b**2 - 720*b + 62656 = 0.\nAnswer: -89, -2, 2, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-285)\/(-190))\/((-49 - -1)\/(-2))?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes after 4:58 PM?\nAnswer: 2:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 271, -4, -71, 1, -1, 11 in ascending order.\nAnswer: -71, -4, -1, 1, 11, 271","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -38*b - 38. What is j(-3)?\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 150 = -5*i, 2*q + 3*i - 37 = 62. What are the prime factors of q?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13268538?\nAnswer: 2, 3, 457, 1613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16 + 12 + 1 - 1) + -10?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 631979 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, y: 1, h: 8, k: 4, o: 3}. What is prob of picking 1 h and 1 y?\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -11920114 equal to -11920115?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zppjpkj. Give prob of picking 1 k and 1 p.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, -4.76, -0.085, 3\/2, 2, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 63815?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 6*g**3 - 6*g**2 + 10*g - 6. Let z(v) = 12*v**3 - 11*v**2 + 19*v - 11. Let i(s) = 11*p(s) - 6*z(s). Find the second derivative of i(x) wrt x.\nAnswer: -36*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((25\/4)\/(-5)*-2)\/(5820\/(-60528))?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + 1. Let f = 308 - 310. Which is the nearest to f? (a) k (b) 2 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12 + -8. Let o(k) = -2*k**3 - 13*k**2 - 4*k + 18. Let l = -102 - -96. Let c be o(l). Calculate the greatest common divisor of j and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10.5 + -5.5. Which is the biggest value? (a) w (b) 2 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 782 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**3 - 37*i**2 - 36*i. Let p be k(-36). Let u be (4*2\/(-10))\/(1804\/(-1210)). Which is greater: p or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 171.706 - 184. Let v = -0.194 - q. Round v to 0 decimal places.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 270 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -302 - -309. Suppose 0 = b*j - 1991 - 1131. What are the prime factors of j?\nAnswer: 2, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*w + 1666 = 6*w. Let u(a) = -2*a - 7. Let x be u(-5). Suppose -52 = -x*m + 23. Calculate the remainder when w is divided by m.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 122087 and 19474.\nAnswer: 749","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-12 - (-1440)\/117)*2. Factor g*s + 0 + 2\/13*s**3 - 8\/13*s**2.\nAnswer: 2*s*(s - 2)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5*4\/(-3)*87\/(-290)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, -0.01, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5 or 13\/3?\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 16) to base 4.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-3)\/1)\/(-12))\/((-5)\/(-12))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(-1\/3))**48)**(-9\/2))**(9\/2) assuming a is positive.\nAnswer: a**324","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.11 times 0.1\nAnswer: -0.011","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -15830 + 0*a + 16010 + a - a + a**2. Let q(s) = s**2. Give x(q(t)).\nAnswer: t**4 + 180","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -17333, -6 in decreasing order.\nAnswer: 2, -6, -17333","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:28 AM and 9:49 PM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 4*s - 3*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -144437, -287931, -431425?\nAnswer: -574919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f + 13. Let p be y(8). Suppose -p*t - k = 2*k - 13, 4*k + 16 = 0. What is the closest to -0.1 in 0.5, t, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 + 4. Sort 3, a, 1.\nAnswer: a, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 255348 by 1476.\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 66797 - 5?\nAnswer: 66792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/((s\/s**(-2\/17))\/s*s)*s**(1\/2))**(1\/11) assuming s is positive.\nAnswer: s**(13\/374)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 3654510190?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r**5 + 22104*r**4 + 88450*r**3 - 22104*r**2 - 88448*r = 0.\nAnswer: -4, -1, 0, 1, 11056","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put together -6899 and -224479.6739.\nAnswer: -231378.6739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33849 is divided by 403.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.2, 1, -83\/6, -5, -3?\nAnswer: -83\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*m - 15*m + 11*m + (3 - 73 - 448)*(3*m + m - 2*m) + 2*m + m - m to c + f*m and give f.\nAnswer: -1044","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 351 is divided by 59?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4056*x = 498*u + 4059*x - 1986, -6 = -2*u + x + 4 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 750517202*n**3 - 3*n + 19756452 wrt n.\nAnswer: 4503103212*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23*d + 0*d + 10*d)*(-2 - 1 + 6)*(-2*d + 1 - 1).\nAnswer: -198*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -112, -817, -2722, -6427, -12532, -21637, -34342, -51247?\nAnswer: -72952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/137? (a) 0.14 (b) -4 (c) -9\/488\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*u**6 - 25*u**3 - 207*u**2 wrt u.\nAnswer: 480*u**3 - 150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - -8. Let x(u) = -u**3 - 8*u**2 + 9*u. Let r be x(-9). Let l(q) = -q**3 - 11*q**2 - 10*q. Let t be l(-10). Solve v + z = t, -5*c + r*v - v = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-1)\/(-3))\/((-4)\/36). Calculate the common denominator of w - ((-134)\/16 + 2) and -33\/5.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3014 and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 26420.54t in nanograms?\nAnswer: 26420540000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2548339*1.\nAnswer: -2548339","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*h\/(h\/(h*h**(-2\/25)))*h\/((h*h*h\/(h**(-33)\/h))\/h) assuming h is positive.\nAnswer: h**(-827\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4980\/6972*16\/12*126\/(-16).\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 172642323 to the nearest integer?\nAnswer: 557","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.34 - -0.7. Let o = 0.04 - h. What is the nearest to -2\/3 in -2\/3, 5\/4, o?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**2 - 24*g + 181. Calculate s(13).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/3*m**2 + 0*m + 0 - 2\/3*m**3 - 1\/3*m**4.\nAnswer: -m**2*(m + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.27015845254 - -0.066.\nAnswer: -0.20415845254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-234)\/2496)\/(27\/(-12)*(-2)\/3)\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 169207589?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13499 is divided by 185.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6153*q - 160 = -6121*q. Suppose 3 - 5 = -g. Let a(w) = w**2 - 1 - w**3 + 0*w**g - 6*w**2. What is a(q)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24 and 2904.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*d**2 + 2*d**3 - 21*d + 0*d**2.\nAnswer: 2*d**3 - 21*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -65*x + 2071 + 549 + 1735 for x.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10.1 + 10.2. What is the smallest value in -1\/12, s, 5?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2916)*-1 + sqrt(36) + (sqrt(36) - sqrt(144)*3))\/(-3*sqrt(72)\/(sqrt(24)*1)).\nAnswer: 26*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -8*w**3 - 16*w**2 + 6*w + 3. Let u(b) = b**3 - b + 1. Let s(y) = -o(y) - 6*u(y). What is the derivative of s(p) wrt p?\nAnswer: 6*p**2 + 32*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 116909401?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 12 = -2*z. Let o be 749\/(-321) - 2\/3. Put z, o, -4 in ascending order.\nAnswer: -4, o, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 divided by 5674991.\nAnswer: 13\/5674991","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4410)\/(-525) - (7 - -1).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23830.\nAnswer: 2, 5, 2383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -8*r**2 + 12*r - 237. Let l(z) = 23*z**2 - 34*z + 710. What is 6*l(m) + 17*s(m)?\nAnswer: 2*m**2 + 231","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + (-7 + 1 - 1).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -60*17907\nAnswer: -1074420","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fere when four letters picked without replacement from ffrafrfeareafff?\nAnswer: 1\/780","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -72 - -68. Which is the second biggest value? (a) -3 (b) r (c) 4 (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + 17 = -3*l, 0 = -3*t + 5*l - 1 + 4 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the first derivative of 2*s**5\/5 - 878*s**3\/3 - 39*s**2\/2 + 3*s - 1078. Find the second derivative of f(y) wrt y.\nAnswer: 24*y**2 - 1756","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: 98.93565 * -0.65\nAnswer: -64.3081725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**33\/(r**(-5\/2)\/r*r*(r*r\/((r**(-4)*r)\/r))\/r*r))**(-26))**(-4\/13) assuming r is positive.\nAnswer: r**236","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 111314?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.2 (b) -4.916 (c) 18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -b**3*s - 2344*b**3*x - 2763*b**3 + 8*b**2*s*x**2 - b*s + 5*s + x**2 with respect to x.\nAnswer: -2344*b**3 + 16*b**2*s*x + 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -4*z**3 - 4*z**2 - 5*z - 10. Let u be s(-4). Let h = u - 104. Let a = h - 89. Solve -a = 3*c - 4*k, 3*c + 12 = -c + 3*k for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a meter in micrometers?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k = 2*b - b - 8, 5*b - 3*k - 5 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (-21 - (-27 - -14))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 2*m**4 - 2473108*m**3 + 764513112338*m**2 + 12232684638240*m + 48931371676800 = 0.\nAnswer: -8, 618285","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -3*u**3 - u. Let a(x) = -x**3 - x**2 - x. What is -a(g) + s(g)?\nAnswer: -2*g**3 + g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -202*f - 2 + 54*f + 145*f + 44*f + 45*f + 38*f.\nAnswer: 124*f - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 120\/6*52\/10. Suppose 0 = 4*h + t - 404. What is the tens digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -414 = -13*q - 245. Suppose -24 = 5*g - 544. What is the greatest common divisor of g and q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 379 + 114. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 414686 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p + 12*p - 1012 = 0. Let f = 116 - 93. Calculate the greatest common divisor of f and p.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 27 + -2132?\nAnswer: -2104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(420))\/sqrt(12) + sqrt(4235)*-4)\/(5*sqrt(245) + sqrt(15)\/(sqrt(6)\/sqrt(2))).\nAnswer: -49*sqrt(7)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -2*b**2 + b + 11. Let r be n(9). Let g be 5\/15 - r\/6. Let h = -34 - -37. Solve 3*p + 4*m = g, 0 = -3*p - h*m + m + 18 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/((w*w**27)\/w)*w)\/(w**(4\/25)*w))\/(((w\/w**(2\/7))\/w)\/w**20) assuming w is positive.\nAnswer: w**(-1028\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 2*h**3 + 5*h**2. Let r = -16 - -9. Let z(v) be the second derivative of 3*v**5\/20 + 7*v**4\/12 + 8*v. Give r*n(s) + 5*z(s).\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -271428, -542830, -814232, -1085634, -1357036, -1628438?\nAnswer: -1899840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 88622912.\nAnswer: 2, 7, 337, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -4*n**3 + 3*n**3 - 3*n - n**3 - 1 - 5*n**2. Let x(t) = 16*t**3 + 6*t - 5. Let w be x(1). Suppose 3*v + 3*j + w = 5*j, 4*v = -j - 8. Give c(v).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2254*u = -9198*u + 767284 for u.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8561998 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 341106 and 1705530.\nAnswer: 1705530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 - 4e9094?\nAnswer: -4e9097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(13\/2)\/k**(2\/5))**(-6\/5) assuming k is positive.\nAnswer: k**(-183\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 469 + -140. Let h be 2\/9 + p\/(-63). Does 7 divide (-282)\/h - ((-8)\/(-20) + 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 0.4 (b) 0.5 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 227 = -227. What is the smallest value in -46, c, 0.4, 5?\nAnswer: -46","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3 - 47*d**2.\nAnswer: -47*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 3*a + 2, 0 = -2*u + 3*a. Suppose 2*c + 2*k - 3 = u*c, 0 = 5*c - 5*k. Solve 4 = -v + s, -v - c*s = -2*v - 8 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28270 is divided by 1130?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -42842 - 3685?\nAnswer: -46527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 - 6\/(-21)) + (-55)\/(-77). Solve 5 = 6*h - u for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 4*y + 24. Let v be l(5). Let j = v - 59. Let d = j + 37. What is the smallest common multiple of 8 and d?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 + 7*m**2 - 3*m + 11. Give o(7).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 4*k + p - 150, k = 5*p + 47. Let m = k - 35. Factor 12*c**m + 14*c**3 + 0*c**2 - 2*c**3 + 16*c - 4*c**4 - 44*c - 24.\nAnswer: -4*(c - 3)*(c - 2)*(c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -14\/3 (b) -3 (c) -0.2 (d) 6 (e) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -23.46 - -23. Let o = j + -0.04. Put -2\/15, o, 0 in descending order.\nAnswer: 0, -2\/15, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -24 + -a51ed?\nAnswer: -a5222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -702, -2789, -6286, -11211, -17582?\nAnswer: -25417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -99 + (-6 - 124 - -195)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6665815?\nAnswer: 5, 13, 102551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-10 - 2 - 6)*(-8*b + 0 + 1 + 6*b) to u*b + y and give y.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 265\/20034*-45 + (-4)\/(-8). Suppose -m + 17 = 4*w, 0 = 5*m - 3*m - w + 2. Which is the closest to m? (a) -5 (b) q (c) -1\/5 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10*n**5 + 29*n**5 + 10*n**5 + (2*n**4 + n**4 - 2*n**4)*(-8*n + 0*n - 5*n) + (-4*n**2 + 3*n**2 + 2*n**2)*(-4*n**3 + 6*n**3 - 4*n**3).\nAnswer: 14*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -219, -278, -337?\n\"Answer: -59*i - 160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.210612018 rounded to 2 dps?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11010 + 100110101011?\nAnswer: 100111000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 6194111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 - 2. Suppose 0 = -s*t + 1 + 3. Suppose 2*i + 4*a - 279 = -53, t*i - 5*a = 217. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 times -1463.2\nAnswer: -7316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/4*(0 + -2). Let j(p) = -2*p + 4. Is j(i) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 2*h - 433 = 475, 0 = b + 3*h - 305. What is the hundreds digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2922878 and -3.1?\nAnswer: 2922874.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 30, 2, 8 in ascending order.\nAnswer: -4, 2, 8, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 3*x**3 - 3*x**2 - x + 2. Let i be y(2). What is the highest common factor of 60 and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -91*m + 87*m + d, 2*d = -10 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*j**4 + 204*j**3 + 639*j**2 + 484*j + 108.\nAnswer: -(j - 54)*(j + 2)*(2*j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((90\/50)\/((-27)\/90))\/(2\/(-286)*-13)\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/9 (b) 2\/5 (c) 2 (d) -102\/13 (e) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**2 - 2*a + 1. Let g be h(2). Let z(i) = 5*i + 18. Let j(q) = 6*q + 19. Let d(l) = -4*j(l) + 5*z(l). What is the units digit of d(g)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 40, -48, -3, -1355 in ascending order.\nAnswer: -1355, -48, -3, 2, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00022770598 rounded to 7 decimal places?\nAnswer: -0.0002277","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4522 - 1345. List the prime factors of a.\nAnswer: 3, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 51 and 4063.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(17) + 0 + 4).\nAnswer: -2*sqrt(17) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:45 AM and 10:21 AM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the second derivative of r**7\/105 + r**6\/25 + 15*r. Find o such that s(o) = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 0 + 0)*(-b**2 - b**2 - b**2 + (-1 - 1 + 0)*(2*b - 2*b + 2*b**2)).\nAnswer: -28*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-3)\/(-2))\/(4\/8). Suppose -4*l - i*f + 44 = 0, f - 4 = -0. What is the lowest common multiple of 10 and l?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*m + 684 = -3*m. Find the second derivative of 1 - 2 + m*x + 48*x**2 - 77*x wrt x.\nAnswer: 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -7 and 498951232712.\nAnswer: 498951232705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4 + 3)\/((-3)\/15). Suppose 4 = p*q - 11. Suppose 0 = 2*f + q*f - 75. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bef when three letters picked without replacement from {u: 1, f: 1, e: 3, b: 9, c: 4}?\nAnswer: 3\/544","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13*w**3 - w**2 + 21*w - 2 wrt w?\nAnswer: -78*w - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes after 5:22 PM?\nAnswer: 7:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -462, 93, -4, 0.5 in decreasing order.\nAnswer: 93, 5, 0.5, -4, -462","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 minus -0.9720043?\nAnswer: -1.0279957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjjjjjjjj. Give prob of picking 2 j.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 4337.5*58\nAnswer: 251575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 329904 divided by -1.\nAnswer: -329904","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2009576 divided by 251197?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15880?\nAnswer: 2, 5, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 18229440 to the power of 1\/5, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/((t**(6\/13)\/t)\/t)*t*t)**45\/(((t*(t\/t**(-2))\/t*t*t)\/t)\/(t*t**(-2\/17))) assuming t is positive.\nAnswer: t**(44446\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*2*sqrt(170))\/((sqrt(10) + -3*sqrt(250) + sqrt(10) - sqrt(10)) + sqrt(10)).\nAnswer: 8*sqrt(17)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**3 - 10412*n**2 + 6913984*n - 179165952.\nAnswer: 4*(n - 1288)**2*(n - 27)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 3164, -19, 62 in decreasing order.\nAnswer: 3164, 62, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 102 divide 568898082?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(200)*-2 + (sqrt(200) + -4 + 1 + sqrt(200))**2 + ((sqrt(96)\/sqrt(6)*3)\/(sqrt(72)\/(4*sqrt(9))))**2.\nAnswer: -40*sqrt(2) + 1097","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*b**2 + 2 - 3*b**2 - 17254*b + 17461*b)*(-2 - 1 + 0) as f*b**2 + l*b + q and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1665*z + 2639 = 1574*z for z.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 585322?\nAnswer: 2, 292661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, 2029, 4, -13 in increasing order.\nAnswer: -13, -3, 1, 4, 2029","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*l**2\/13 - 40982*l\/13 + 21808380\/13 = 0. Calculate l.\nAnswer: -21010, 519","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 115305, 230605, 345893, 461163, 576409?\n\"Answer: -j**3 + 115307*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the second derivative of 0*o**5 + 0*o**6 + 8*o + 1\/14*o**7 + 0*o**4 + 0*o**2 + 19\/3*o**3 + 0. What is the second derivative of j(g) wrt g?\nAnswer: 60*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -42543 and 0.04.\nAnswer: -42542.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -124 (base 6) in base 10?\nAnswer: -52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve s = 5*q + 5, -3*s = -4 + 19 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -17484891*f**3 + 277*f**2 + 9019*f.\nAnswer: -104909346","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(972) - sqrt(432)*6.\nAnswer: -108*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 17*w - 60. Let n be (1 - (-295)\/10) + w. Which is smaller: n or 26?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*d + 168 = -5*d. Calculate the remainder when 362 is divided by d.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - 14 = -3*q, -3*c - q + 6*q = -25 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 51 - 48. Solve w = 2*j + j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1345 (base 10) in base 2?\nAnswer: 10101000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 29.4, 3, 54.72, -5\/4, 0.2 in increasing order.\nAnswer: -5\/4, 0.2, 3, 29.4, 54.72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of o**4\/4 + o**2\/2 + 10*o + 2. Let t be q(0). What is the second derivative of t*v + v**2 - 14*v - 3*v**2 wrt v?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 1 c when three letters picked without replacement from {k: 4, c: 3, d: 1, h: 11}.\nAnswer: 55\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-27)\/27 + 8928\/1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*u = -13*u + 2*u - 16*u + 264 for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(11) + 5) + (sqrt(1584) - sqrt(1584)*-5) - (sqrt(396)*3 + 5 + sqrt(11) + -1)*-5)*4)**2.\nAnswer: 4676144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(204) - sqrt(204)*-2)\/sqrt(12))**2 + (-2*sqrt(1700))**2 - (((sqrt(119) + -1*sqrt(119))*-5)\/sqrt(7) + 5).\nAnswer: 6948","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -6 + 12*o + o**2 + 15 + 4. Let x be d(-11). Let h(l) = 3*l**2 + l - 2. Let j be h(-2). Solve x = -5*p - j for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5996*f - 4934*f - 9 + 12066*f)*(-2 - 2 + 2).\nAnswer: -2272*f + 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -14 divided by 10\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -19584, -0.07, -0.4, 1, 1\/2 in decreasing order.\nAnswer: 1, 1\/2, -0.07, -0.4, -19584","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2611? (a) -2 (b) 2 (c) 4 (d) 0 (e) 1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5.66 - -5.339. Let c = m - 179.379. Let i = c + 168. What is i rounded to 0 dps?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -37307, -37312, -37319, -37328?\nAnswer: -37339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f + 5*n + 111, 3*f - 390 = -6*n + 2*n. Let a = f - -173. Let y be 4 - 3 - 2 - a. Round y to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1686?\nAnswer: 2, 3, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -59, -2, -56, -34 in ascending order.\nAnswer: -59, -56, -34, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5313 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: Suppose -422308 = 85*c - 1318463. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-56)\/(-7) + (-2)\/(-1). Suppose 0 = 5*p + 3*c + j, -c = 3*p + p + 1. Is -2\/29 at least as big as p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the third derivative of 7*h**7\/360 - h**6\/360 + h**5\/60 + h**4\/3 - 8*h**2. Let y(v) be the second derivative of x(v). Is y(3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-10 - (-1716)\/154)\/(2\/7 + 0). Let j be (-281)\/(-9) + (-6)\/27. Suppose 5*p = -3*k - j + 587, -743 = -w*k - 5*p. Does 19 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**0*f)**(12\/5)\/((f\/(f\/((f\/(f\/(f**(-2\/5)\/f)))\/f)))\/(f*f**5\/f*f))*(f*f\/(f**(-1\/2)\/f)*f*f)**(-42)*f**(-1)*f**(-3) assuming f is positive.\nAnswer: f**(-1121\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:08 AM and 10:21 AM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -7*w - 20. Let g = -1718 - -1706. Determine s(g).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -208 + l**3 - 182 + 378.\nAnswer: l**3 - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 779184 is divided by 187?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 119965 not equal to 119963?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*q, -m - q + 24 = -2*q. Let v = m + -16. Is 3186\/15 + 6\/v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 2*j. Let z(o) = -10*o. Let i(f) = -16*y(f) - 3*z(f). Let h(c) = -7 + 5122*c + 5112*c - 10226*c. Give h(i(v)).\nAnswer: -16*v - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*o + 3*o + 3*o = -15 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 109 a factor of 327?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 807802*r - 3367 = 807749*r - 664 for r.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -10308 < -10309?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 4)*(-2*k + 2*k + k**3) - 5*k**3 + 2*k**3 + 4*k**3 + 0 + k**2 + 1 - 4*k**3 - 2 + 16*k**2 - 9*k**3 - 16*k**2.\nAnswer: -11*k**3 + k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 40 and 580.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from mmummmumumuumuummmm.\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -9 + -90d?\nAnswer: -918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -191 - 29. Is i a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/14576 and -137\/24.\nAnswer: 43728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the second derivative of -7*x**5\/30 - x**2 - 6*x. Let u(o) be the first derivative of k(o). Let t(y) = 2*y. Give u(t(a)).\nAnswer: -56*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j - y + 47831, 13*j - 15398 = -4*y + 140055. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2952 times -2\nAnswer: -5904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 439?\nAnswer: 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange f**3 - 3*f + 3*f + (-f**2 + 4*f**2 - f**2)*(f - 6*f - 6*f) - 3*f**3 - 5*f**3 - 2*f**3 to the form n*f + j*f**2 + a*f**3 + l and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 34, 55, 98, 169, 274, 419, 610?\nAnswer: 853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-47 - 31 + 5 + (-2 + 1 + 2)*(-2 - 2 + 6))*(-2*v + 3 - 3 + (-5 + 2 + 2)*(0 + v + 0) - 3 + 3 - 2*v - v + 0 + 0 + (-61 + 24 - 17)*(v - 1 + 1)).\nAnswer: 4260*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -4894?\nAnswer: -4894","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -81\/14720 and -49\/6611200.\nAnswer: 152057600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pm when two letters picked without replacement from vpjmpppvjmjppvvjpvp?\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the first derivative of 8*d**3\/3 + 57. Let p(g) = -6*g. What is a(p(s))?\nAnswer: 288*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/(-6) + 1\/(-2). Let d = 2 - b. Find the first derivative of d - 4 - q**2 - q**2 wrt q.\nAnswer: -4*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 8, p: 3, o: 1, q: 5, e: 1, s: 2}. What is prob of sequence os?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrrrrrjrrrrr. Give prob of sequence jr.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 956?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3244664 a multiple of 392?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 2 b when three letters picked without replacement from {w: 5, p: 2, q: 1, a: 1, g: 4, b: 7}.\nAnswer: 7\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -23314 greater than or equal to -23307?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 - -5.4. Let t = m - 0. Let u = -0.01 - 0.39. Sort -2, u, t.\nAnswer: -2, u, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 2*a + 684*a**2 - 1 + 279*a**2 - 4*a**3.\nAnswer: -4*a**3 + 963*a**2 + 2*a - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -5*c - 20, -3*c - 355 = -2*y - 348. Put 5, c, -6, 8, 1 in descending order.\nAnswer: 8, 5, 1, c, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**3 - 14*h**2 - 15*h - 31. Give n(-13).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from auuzzuzauauaazuauuu. Give prob of picking 2 a and 2 u.\nAnswer: 45\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*6*(1*sqrt(300))**2.\nAnswer: 3600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6\/7, 8, 3, 5 in ascending order.\nAnswer: -6\/7, 3, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 401745 + -61996. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n = -15, 3*f = f + 2*n - 2 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, r: 8, e: 2, p: 3}. Give prob of sequence ecpp.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 0 - (2 + 5 + (-38 - -11))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2702, -5406, -8110?\n\"Answer: -2704*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 4*d - 7*d. Let l = d - -8. Suppose -3*a = l*c - 591, -4*a = -c - a + 213. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 + -17. Let a = 8.0054 + h. What is a rounded to three dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -0.1, 3\/49, 2\/17?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -90 + 89.732. Let y = a - -0.268. Let l = 1\/23 + 157\/92. Sort y, l, -0.3.\nAnswer: -0.3, y, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 2*l + 25 + 18, h = -5*l - 23. Is h bigger than -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -188 + 2*g + 370 - 182.\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 2*j**2 - 11*j + 4. Suppose 0 = 2*g - 4*r - 28, 0*g - 5*r - 47 = -4*g. Is 11 a factor of x(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.7 - 0.3. Let y = -2 - a. What is the closest to y in 3, 2\/9, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 333, 394, 499, 654, 865, 1138, 1479?\nAnswer: 1894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 24 = 2*a - 5*u, 2*u = 4*a + 18. Let q = a + 5. Suppose 3*y - 3*k - 30 = -0, 0 = 5*y + q*k - 42. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 7) in base 2?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -129*f*l*x - 25*l*x - 2 wrt f.\nAnswer: -129*l*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28 + 251*r + 170*r - 54 + 30 - 420*r.\nAnswer: r + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 3*j**2 + 123813*j + 123810 = 0.\nAnswer: -41270, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 5*i - 95, 2 - 27 = -3*i - 4*x. What is the common denominator of (-11 + -1)*1\/11 and ((-10)\/(-21))\/(i\/(-70))?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10788 to the power of 1\/2, to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3713?\nAnswer: 47, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 40472671 to the nearest integer?\nAnswer: 343","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14 + 28.5. Let u = -133.5 + s. Let z = u + 118.951. Round z to two dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -4974980 and -11.628261?\nAnswer: 4974968.371739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.95 - 0.05. Which is the smallest value? (a) 0.4 (b) k (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/((-21)\/350*-10)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**3 - 6*z**2 - 6*z. Let r be (-2)\/7 - 990\/(-35). Suppose 2*w + 0*w = r. What is the remainder when w is divided by u(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -24 + 35. Let y(s) = -s**2 + 11*s + 8. Let p be y(g). Solve -m = -5*m + p for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 175 is divided by 65.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**3 + 391*g**2 - 789*g + 4. Let t be w(2). Let x = 193 - 974\/5. Which is the closest to x? (a) -5 (b) -2\/13 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**3 + f**2 - 2*f + 2. Let o(m) = -m**3 - m**2 + 6*m + 1. Let r be o(2). Let g be l(r). Solve -2*b - g = 2 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8934565 * -0.4\nAnswer: 3573826","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 5*y**2 + 65*y + 150 = 0.\nAnswer: -10, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-13)\/(104\/(-12))*6\/9\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.4 - -1.3. Let i = f + -0.3. What is i rounded to one dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -282*r - 168 = 6882 for r.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q + 3*q. Let w(o) = -o**2 + 2*o + 13. Does 2 divide w(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/209583 at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1368, 1200, 1032, 864, 696?\n\"Answer: -168*p + 1536","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -53*a + 25. Let i(o) = 106*o - 49. Let s(f) = 3*i(f) + 5*u(f). Find the first derivative of s(n) wrt n.\nAnswer: 53","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g**5\/4 - 43*g**4\/4 - 137*g**3\/2 + 7571*g**2\/2 + 147345*g\/4 + 353925\/4 = 0. What is g?\nAnswer: -13, -5, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the first derivative of -n**5\/15 + n**4\/6 + 25*n**2 + n - 243. Let a(d) be the second derivative of l(d). Let c(h) = h. What is a(c(k))?\nAnswer: -4*k**2 + 4*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 22\/13 - 189\/104. Which is smaller: -12 or a?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 163 (b) 2 (c) 14 (d) 3 (e) 4 (f) 4\/3 (g) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 3 - 2 + (4 + 0 - 2)*(2 + 0 - 1) - 2 - 2 + 5)*(386 - 4*w**5 + w**4 - 386).\nAnswer: -16*w**5 + 4*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 6743381.9 rounded to the nearest one hundred?\nAnswer: 6743400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68606 is divided by 54?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8 by -1667.\nAnswer: -8\/1667","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - p = -6. Suppose 2*u + 4 - 2 = s, s - p = u. Let t(m) = -s - 5*m**3 + 1 - m + 3*m. Give t(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -92 + (188\/(-752))\/(1\/(-96))?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.34 and 461?\nAnswer: 156.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1297030 is divided by 2217?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-210)\/(-28)*(-7)\/(-70).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (z + 4*z + 2*z)*(4 - 7 - 3)*(34*z + 44*z + 3 - 28*z) to x + c*z**2 + g*z and give g.\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*a**5 - 3*a**5 + 0*a**5)*(0 - 6 + 1) - a**5 + 3 - 3 - a**5 + 2*a - 2*a + (a**4 - a**4 - 2*a**5)*(-1 + 1 + 5).\nAnswer: -17*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (10 - 2) + (-20 - -7)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x + 2. Let i be y(-4). Let w = i - 2. Find the second derivative of 2*l + 5*l**4 + 0*l**4 - 2*l**w wrt l.\nAnswer: 36*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*t**3 - 6*t**2 - 3*t**3 + 8*t**3 wrt t?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*z - 2*b + 20 = 52*z, -80 = -24*z + 4*b for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - (-6 - 3)) + -7 + -2\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11528952 by 4.\nAnswer: 2882238","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -29479606 at most as big as -29479608?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/(-444) - 1624\/(-74)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*m - 7*y + 10*y, -y = 4*m + 16 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*i - 178*i - 3 + 3)*(-1 + 3 - 3).\nAnswer: 184*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -0.4 (b) -4 (c) -1\/3 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 4, k: 10}. What is prob of sequence ww?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-4)*k)**(-36)\/(k*k**(4\/15)*k)**(-7\/6) assuming k is positive.\nAnswer: k**(3359\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the third derivative of w**5\/20 + 101*w**4\/2 + 20402*w**3 - w**2 + 318*w. What is x in b(x) = 0?\nAnswer: -202","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2689569319 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.2 - 0.7. Let q = 17 - 16.8. Which is the nearest to 1? (a) 5 (b) m (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49915201 + 3*c**3 + 49915201.\nAnswer: 3*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 664 and 511114.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5306791?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the third derivative of -3*p**5\/20 - 4*p**3 + 25*p**2. Differentiate r(n) wrt n.\nAnswer: -18*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((-1 + sqrt(468) - sqrt(1872)\/sqrt(4)) + 1*(sqrt(130)\/(sqrt(10)*1) + sqrt(104)\/(sqrt(8) + sqrt(16)\/sqrt(2))))**2.\nAnswer: -3*sqrt(13) + 137\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 22361 rounded to the nearest 1000?\nAnswer: 22000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-23596)\/247758 - 136\/48*(-188)\/7?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 29862 + -29851. Let w(v) = 2*v - 1. Let k(u) = 9*u - 4. Give t*w(m) - 2*k(m).\nAnswer: 4*m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -84.2 at least as big as -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/(d\/d**(-4\/7))*d)\/d)\/((d*d*d**(1\/6))\/d)*d**(4\/5)\/d*d**(-4))**(-3\/20) assuming d is positive.\nAnswer: d**(1247\/1400)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 + 87. Suppose 3*a + 4*x - m = 0, 2*a = -2*a + 2*x + 118. Calculate the remainder when 144 is divided by a.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1020 and 2580.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11013\/5 + -2202. Sort 4, -4, v, -0.78 in ascending order.\nAnswer: -4, -0.78, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/(h*h**(-11)))\/h)\/h*h*h*h)**14*h**(-6)\/(h**22*h) assuming h is positive.\nAnswer: h**139","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8316945 by -308035.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -262 + 10. Calculate the common denominator of (-64)\/(-24) - (-553)\/d and 19\/180.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 76.40131 + -76.05. Round o to 3 dps.\nAnswer: 0.351","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 5*y**2\/4 - 1185*y\/4 + 31005\/2 = 0.\nAnswer: 78, 159","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qvqvv. What is prob of sequence vvvq?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 166, 165, 164, 163, 162?\n\"Answer: -h + 167","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 5) to base 15.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 278458235.\nAnswer: 5, 11, 383, 13219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r**(2\/5)*r*(r**6\/r)\/r*(r**(1\/5)\/r*r)**(40\/7) assuming r is positive.\nAnswer: r**(264\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1480.2, 7, 1, 0.01 in ascending order.\nAnswer: -1480.2, 0.01, 1, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -17 - (41 + -11 + -14)\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2 * 5748\nAnswer: -11496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.07 + -0.93. Let m(n) = n**3 + 7*n**2 + 5*n - 6. Let p be m(-6). Which is the nearest to x? (a) 2\/11 (b) p (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 3*s + 5. Let r(h) = 2*h + 3. Let i = -2 - -2. Suppose i = 4*j + j - 30. Determine j*d(b) - 10*r(b).\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 17 = -8. Let y = -9872 + 9868. Put y, 7, -1, a in decreasing order.\nAnswer: 7, -1, y, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 5*a = 9621708 + 12878297, 2*a - 4499998 = v. What is v rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -416, -1882, -4386, -7910, -12436?\nAnswer: -17946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 9\/5, -14\/15, 21, -4, -0.5?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmddmmmmmmmm. Give prob of sequence mddm.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/((-99788)\/(-2166) - 46)?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1221*h - 20 + 15 + 5 to i*h + o and give i.\nAnswer: -1221","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 632204 and 244.\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*c**3 + 7*c**3 - c**3.\nAnswer: 8*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 116.9 + -81.45. Let f = a + -34. Let s = f + -0.25. Round s to zero dps.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 6*b**2 - 38*b - 412. Determine q(-13).\nAnswer: 1096","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + 3 - 3)*(4 - 2 + 0) - 3 + 3 - 2)*(1 - 2 + 0)*(-4*u - u + 4*u + (2 + 2 - 5)*(0*u - 6*u - 3*u)).\nAnswer: -16*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -147.7846874694 minus -157?\nAnswer: 9.2153125306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 219394?\nAnswer: 2, 7, 15671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 794225827 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 + -2775?\nAnswer: -2771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s - 13. Let k(p) = -p - 9. Let u(o) = 2*j(o) - 3*k(o). Let x(h) = -h + 7*h + 3 + 2. Let y(f) = 3*f - 2. Let q be y(2). Calculate q*u(v) - x(v).\nAnswer: -2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i + 3*i - 2*i)*(3*i + 0*i - i)*(3 - 4 + 3).\nAnswer: -8*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8482122?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -250740.\nAnswer: -1\/50148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r - u + 10, r + 5*u = 2*u - 2. Suppose 2 = 3*w - r. What is the tens digit of (0 - 0) + 46\/w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 790691876 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 334438?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 2*n = -6*n + 57, -3*n = -i + 71. Suppose -p + i = -3*j, 5*p - 297 = 2*j - j. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 216 and 8802?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -1, -3, 1146994, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19.4 - 19. Let v = 6.3 + -6. Which is the smallest value? (a) 2 (b) v (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -2\/9*q**5 + 0 - 8\/9*q**2 + 10\/9*q**4 - 4\/3*q**3 + 16\/9*q = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s\/((s*s**(-9\/8))\/s)*s)\/s*s*s*s*s*s\/((s**15\/s)\/s))\/(((s*s\/(s**8*s))\/s)\/s**(-4)) assuming s is positive.\nAnswer: s**(-7\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.0696 * -3\nAnswer: 0.2088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -59280 + 59286. Suppose -2*v = 3*v. Solve 3*n - r - 3 = v for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 265914?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -162*m + 197 = -136*m - 115 for m.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 3*f = -z - 5, -2*f = 3*z - 24. Let m = -85 - -297. Let b = -122 + m. What is the highest common divisor of b and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -30771, -61459, -92061, -122571, -152983, -183291, -213489, -243571?\nAnswer: -273531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 3*s - s - s. Let i = 5 - 3. Let r(k) = 4*k - i*k + 0*k. Give r(d(m)).\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (6*(-1)\/4)\/(1020\/680)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 284 + 453. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 20937 - 8690. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1695.24 from -4085.\nAnswer: -5780.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*k**2 - 5*k**2 + k**3)*(-47*k**2 + 15*k**2 + 12*k**2).\nAnswer: -20*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -106573\/10 + 10647. Calculate the common denominator of ((-8)\/168)\/((-4)\/122) and z.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2377 + 2377.1. What is the closest to 1 in 69, 2, 0.2, f?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 3 = 5*y - 4*y, 0 = 4*y - 12. Suppose -j - 3*m - 15 = u, -2*m - 15 = 5*j + m. Which is the third biggest value? (a) 4 (b) j (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k + 10. Let u be c(-24). Is u less than or equal to 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*g + 74 - 74)*(g**2 - 3*g**2 + 3*g**2 + (2 + 1 - 1)*(0 - 2*g**2 + 0)) in the form n*g + l + d*g**2 + b*g**3 and give b.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3656462 and 183610.\nAnswer: 127976170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:43 PM and 5:21 AM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 533204 (base 7) to base 16.\nAnswer: 168d1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -8 (b) -0.1 (c) 730 (d) 42\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 = -14*o + 54*o. Put 24, -3, o, 5 in ascending order.\nAnswer: -3, o, 5, 24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oywjjss. Give prob of sequence wss.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**2 - 5*n + 2. Let b be d(6). Let v(u) = -7*u - 7. Let z be v(-1). Suppose -b*q + 7*q + 79 = z. What are the prime factors of q?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 670844064 divided by -3811614?\nAnswer: -176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 92*g**2*n**3*o + 271*g**2*n*o - g**2*o**3 - g*n**3*o**3 + 2*g*n**2*o**3 - 3*g*n*o + 49*n**3*o + 3*n*o**3 wrt g.\nAnswer: 184*n**3*o + 542*n*o - 2*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 1 - h**2 + 2*h**3 - 161*h + 156*h + 4. Let b(m) = m + 2. Let t be b(3). Let v(i) = i**3 - 3*i + 3. Determine t*v(k) - 3*n(k).\nAnswer: -k**3 + 3*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8235 and 57645.\nAnswer: 57645","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 4) in base 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00249 to 4 decimal places.\nAnswer: -0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -51.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2326 + 9940. What is the tens digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes before 12:21 PM?\nAnswer: 10:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 752 + -21810\/29. Suppose 84*a - 80*a = -4. Put a, c, 0.4 in descending order.\nAnswer: 0.4, c, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0\/(2\/(6\/(-9))). Is f bigger than 2\/41?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -203533 - -14?\nAnswer: -203515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 319824 divided by 2894\nAnswer: 159912\/1447","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (-3)\/(-7) + (-63)\/147?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**3 + 2*w**2 - 3*w - 3. Let x be a(-2). Suppose 0 = 3*i + 5*d - 30, 0 = -3*i + 2*d + 1 + 8. Solve 3*m - i*u = 10, -3*u - 1 - 5 = x*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m + 0*m - m)*(2*m**2 - 2 + 2) - 2*m**3 + 3*m**2 - 3*m**2 + 2*m**2 - 2*m**2 - 3*m**3 + (0*m + 0*m - m)*(-9*m**2 - 35*m + 35*m) + 3 - 3 + m**3.\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 18519 + -12964. Suppose 14*l + 739 = a. List the prime factors of l.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*(-75)\/(-250)*210\/(-9).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -3*h. Let q be a(-1). Solve 4340*i**q + 4*i**4 + 2*i**4 - 4319*i**3 + 12*i**2 - 3*i**5 = 0.\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 10\/(-4)*(-16)\/10. Suppose -s*o + 3*o = -16. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 + 0)\/(-2 + 3). Let g(b) = b**3 - 7*b**2 + b - 5. Let i be g(7). Let l(c) = -2*c - c**2 - 3*c**2 + 3*c - i*c**2. Determine l(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7640)\/(-1910)*(-11)\/1056.\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, -5, 10723 in descending order.\nAnswer: 10723, 4, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 207275261 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-1\/4)\/((u\/u**2)\/u) assuming u is positive.\nAnswer: u**(7\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 134 - 2941?\nAnswer: -2807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24811051?\nAnswer: 24811051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 7*u**3 + 9*u**2 - 9*u + 161. Let r(a) = 2*a**3 + 3*a**2 - 5*a - 1. Determine -l(m) + 3*r(m).\nAnswer: -m**3 - 6*m - 164","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000001239 to 7 decimal places.\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 80, 103, 112, 101, 64, -5, -112, -263?\n\"Answer: -w**3 - w**2 + 33*w + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -13095380 divided by -3273845\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 2 - s + 12*s**2 - 1 - 11*s**2. Let v(b) = -2*b**3 + 2*b**2 - 2*b + 6. Determine -2*f(j) + v(j).\nAnswer: -2*j**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**3 - 1924*f**2 - 923517*f + 1854738.\nAnswer: -(f - 2)*(f + 963)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 1 i when three letters picked without replacement from {s: 3, i: 7}.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -7*d. Let r(z) = -49*z - 1. Give r(m(y)).\nAnswer: 343*y - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5322 - 37326\/7. Let o = 583\/56 + f. Find the common denominator of o and -4\/9.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 4944?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(48\/2)*(-18)\/102?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 - 5*j)*(4*j + 2*j - 5*j)*(-15 + 78 + 6) as v*j + d*j**2 + m and give d.\nAnswer: -345","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 50 + (-101 - -63) + (-2 - -17 - 2).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1447 divided by -565?\nAnswer: 1447\/565","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 174 is divided by 59.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -o + 16. Suppose -3*m - 29 + 26 = 0. Let u be m - o\/(-2) - 1. Does u = 2\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-104)\/330 - (-2)\/(-60)*-4. Let f = 2 - 3. Let s be f\/(1*-9)*-2. What is the biggest value in h, -1\/3, s?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) 4 (c) -1 (d) 2\/13 (e) -112\/3 (f) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 41006*h**2\/15 + 11534*h\/15 - 52\/15.\nAnswer: 2*(7*h + 2)*(2929*h - 13)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46 + 27 + -28 + -13.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 132900 and 30075?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rorrooryyrtyyooor. Give prob of sequence yoy.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 3) to base 10.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2\/5 + 1204*d\/5 + 54379\/5.\nAnswer: (d + 47)*(d + 1157)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 975185 and 1675?\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 108 a factor of 785518560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 1*((sqrt(1216) + -1)*2 + -2*(sqrt(1216) + -2 - sqrt(1216))) + 2)**2.\nAnswer: 256*sqrt(19) + 4928","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -1\/738 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**3 - 37*v**2 + 186*v + 17. Determine m(31).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-4)*x*x**0*(x**(-2\/7))**41)**(1\/59) assuming x is positive.\nAnswer: x**(-96\/413)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*i**3\/7 + 5358*i**2\/7 - 864348*i\/7 + 754290 = 0. What is i?\nAnswer: -203, 51\/8, 85","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24 and 276.\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/165 in 146, 2, -0.0279?\nAnswer: -0.0279","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**3 - 5*h**2 - 501*h + 60. What is t(25)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 142 divide 9088?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v - v - 2*v**4)*(-2 + 3 - 3) - 4*v**2 + 4*v**2 - v**4 - 3 + 6*v**3 - 6*v**3 + v**4.\nAnswer: 4*v**4 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times 124.5094?\nAnswer: -37.35282","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -14\/9 and 0 + 0 + 126\/8.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 470, 905, 1332, 1751, 2162, 2565?\nAnswer: 2960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -325, 192, 723, 1274, 1851, 2460, 3107, 3798?\nAnswer: 4539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 106591 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*h**2 - 3*h**2 + 6*h**2 + (0*h + 0*h - h)*(-3*h + 2*h + 2*h).\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 864 and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 16 = 2*v, 4*q + 0*v - 14 = 2*v. Suppose -2*f - 3*y = -q - 4, -3*y + 9 = 3*f. What is the units digit of -5 + f - (1 - 15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p - 6. Let g be h(-7). Let b be (-2 - -2)*g + 2. Let k = -45 - -69. Solve d - 2 = -b*o, -2*o + 2 + k = -5*d for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 24*c + 19. List the prime factors of k(9).\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - (-17 + 9 + 41) - 28.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 81250 and 75125?\nAnswer: 48831250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19 + -16. Suppose -q = -4*t - 5*q + 112, -4*t + l*q + 133 = 0. List the prime factors of t.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 128995380?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s = 3*a + 6*s - 23, 3*s - 2 = 2*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00786906319 to 7 decimal places.\nAnswer: 0.0078691","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the first derivative of 44*w**3\/15 - 1734*w**2\/5 - 632*w\/5 + 6183. Factor p(d).\nAnswer: 4*(d - 79)*(11*d + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:31 AM and 5:32 PM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 139\/36834 and -31\/147.\nAnswer: 257838","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 58*p**2 + p. Let u(h) = h**2 - 7*h + 7. Let m be u(6). Is z(m) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mvnnnhxhmvpnxxnxmn. What is prob of sequence mv?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17 - -24. Let s = m + -2. Put 1, -3, s in descending order.\nAnswer: s, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -38 + 58. What is the lowest common multiple of (285\/(-12))\/(-5) - 147\/196 and x?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o + o - 6. Let v(i) = 4*i**2 + i - 4. Let g be v(o). Suppose 5*f = -j + 29, 2*f + 5*j = -f + g. Solve -3*m = 4*b + 13, 31 = 4*m - f*b + 7 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1956 + -1093. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 9 = -11*w - 11, -3*h + 15 = 4*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/8 and (4\/10)\/(-3 + (-1892)\/(-520)).\nAnswer: 664","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*o + 2*o - 50*o - 2*o)*(-3*o - 37923 - 136*o**2 - 35*o**2 + 37924) to the form b*o**3 + s*o**2 + t*o + q and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 122 - -17. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.5? (a) 3593 (b) -5 (c) -2\/3 (d) 0.03 (e) 1\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 2*u + 16. Let d be a(-6). Suppose g = -0 + d. Solve -g*z - 4*p = 8, 0*z + z - p = -2 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by 50852?\nAnswer: 3\/25426","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -211*z + 25*z - 336*z - 554*z + 4 - 4.\nAnswer: -1076*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f**3\/3 + 32741*f**2\/3 - 6417486*f - 6428400 = 0.\nAnswer: -1, 600, 32142","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 80\/(-69) - 43932\/(-32949).\nAnswer: 4\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (-1 - ((-3 - -6) + -5)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 1376 + 1358 - p**2 - 2733. Let x(k) = 2*k - 2. Give -w(r) - x(r).\nAnswer: r**2 - 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 4*a**3 + 5*a**2 - 3*a - 8. Let g(q) = 5*q**3 + 5*q**2 - 2*q - 9. Let r(c) = 4*d(c) - 3*g(c). Let u be r(-6). Is 2 + (-1 - 0) - u a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (88 - 252 + 42768*z**2 - 42769*z**2)*(-5*z**2 + 2*z**2 + 2*z**2).\nAnswer: z**4 + 164*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 67843297 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**3 + t**2 - 3*t. Let g(r) be the first derivative of 3*r**4\/4 - r**3 + 4*r**2 - 10. Let j be 404\/(-36) - (-6)\/27. What is j*v(f) - 4*g(f)?\nAnswer: -f**3 + f**2 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 716319046?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rhrrwrhhowhhhohhoow. What is prob of sequence ohr?\nAnswer: 64\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25842268.\nAnswer: 2, 6460567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2828*y**2 + 4684*y**2 + 4011*y**2 to h + f*y**2 + t*y and give f.\nAnswer: 11523","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -2*d - 16. Let t be x(-8). Suppose -7*f + 207 + 465 = t. Is 16 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s - 5*s - 6 = 0. Suppose -s*q = -14 + 2. Solve 6*b + q*t = b + 29, -2 = -t for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*r**3 - 637 + 1717 - 1080 - r**3.\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 24331035 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3005519516 a multiple of 254?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -42 + 86. What is the remainder when d is divided by (9\/(-12))\/((-5)\/100)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 175800 and 281280.\nAnswer: 1406400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 400.\nAnswer: -1\/100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 78438444 or 78438466?\nAnswer: 78438444","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 + -3. Suppose -2*g = -q + 6, -g = -2*q + 1 + 5. Let u = g + 9. Calculate the greatest common factor of u and j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**3 + 4*y**2 + 2*y + 1. Let o be i(-3). Calculate the highest common factor of 76 and o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 8*o**3 - 2*o**2 + 2*o + 12. Let n(i) = 9*i**3 - 3*i**2 + 3*i + 12. What is -3*h(k) + 2*n(k)?\nAnswer: -6*k**3 - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03601 plus -0.2?\nAnswer: -0.23601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1277989533 to the power of 1\/2, to the nearest integer?\nAnswer: 35749","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -233 + -21131?\nAnswer: -22030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 5546 = -18*b - 2*b - 100*b for b.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 101, 212, 331, 464, 617?\nAnswer: 796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 31 + 3?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 11 = -217. Suppose 4*k - i - 25 = 0. Is 9 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -58, -299, -5 in ascending order.\nAnswer: -299, -58, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, 1\/3, 4, -1\/27?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the first derivative of 5*v**3\/3 + 91*v**2\/2 + 1987*v + 1949. Differentiate b(g) with respect to g.\nAnswer: 10*g + 91","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bc when two letters picked without replacement from {o: 5, c: 1, b: 6, m: 6}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 197730830 to the nearest integer?\nAnswer: 583","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6, -4, -18, -36?\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/5 (b) 5 (c) -0.31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -47575809, -47575810, -47575811?\nAnswer: -47575812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.03 - -0.27. Let c = 0.2 - x. Let o = 228 + -232. What is the nearest to c in 1, 5, o?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3 - -1)*(-195)\/60*-2. Sort j, 0, -2 in ascending order.\nAnswer: j, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.12075995432679 and -0.4.\nAnswer: -0.52075995432679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 47 less than 208874611371?\nAnswer: 208874611324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f**3\/2 + 2001*f**2\/2 + 1334667*f\/2 + 296740963\/2 = 0. What is f?\nAnswer: -667","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/(-6)*(-3 - -6). Let p be q + 9 - (-2)\/(-1). Suppose -4*h - p*r - 20 = -h, 0 = h - r + 4. Let t(l) = -l**2 - 6*l + 2. Give t(h).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 0*r**2 + 2*r**2 + 11*r + 5 + 5 + 1. Let i be p(-8). What is the greatest common divisor of 17 and i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -3*t. Let r be ((-12)\/20)\/(1\/(-5)). Let h(n) = n**2 - 4. Let b be h(r). Let f(s) = -3*s - 4*s + 4*s + b*s. Calculate x(f(l)).\nAnswer: -6*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.24 - -0.06. Suppose u + 3*b - 10 = 7, 3*u + 5*b - 55 = 0. Suppose -u = -2*q - 2*d, -5*q + d + 16 + 4 = 0. Put v, -1\/4, q in increasing order.\nAnswer: -1\/4, v, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 966, 906, 718, 336, -306, -1274, -2634, -4452?\n\"Answer: -11*z**3 + 2*z**2 + 11*z + 964","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -2483637 * 0.2\nAnswer: -496727.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2462 + -864. Let a(h) = -15*h - l + 1598. Let m(g) = -779*g. Let z(y) = -209*a(y) + 4*m(y). Let c(r) = r**2. What is z(c(o))?\nAnswer: 19*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y - y + 72. Suppose -4*k + t + 24 = 0, 4*k - 2*t = t + y. Suppose k*g = 4*g + 70. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*-2*(2 + ((2*(sqrt(24) - sqrt(48)\/sqrt(2)))\/sqrt(8))**2 + ((sqrt(3) + 2)*3)**2 + -1)*3.\nAnswer: 216*sqrt(3) + 384","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1105 times -0.594\nAnswer: 656.37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (((-190)\/(-10))\/(-1197))\/((-3)\/36*2)\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.35 to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7\/2199 + 3094028\/10995. Let m = f + -283. Which is greater: m or -3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56243 to the power of 1\/2, to the nearest integer?\nAnswer: 237","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*x - 3*x + 3*x - 9*x - x.\nAnswer: -13*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 11) in base 7?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(90)*1 - sqrt(90))\/(sqrt(18) + sqrt(18)*-1 + sqrt(2)))\/(-3*sqrt(144) - sqrt(1089)*-2).\nAnswer: sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -888, -3467, -7764, -13779, -21512?\nAnswer: -30963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 800 and 56353984.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 47\/47 - (-1 + 1 - 0). Let o(z) = -2*z**2 + 3*z - 3. Let r(v) = 1. Let q(x) = t*o(x) - 2*r(x). Let b(c) = 3*c**2 - 5*c + 8. Give -5*b(h) - 8*q(h).\nAnswer: h**2 + h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**2 + 6*h. Let j be o(7). Let a(q) = -q**3 - 7*q**2 - q - 1. Let f be a(j). List the prime factors of 3*(20\/f + -1).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -6493*x - 388. Let t(o) = -6*o. Calculate s(t(q)).\nAnswer: 38958*q - 388","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/5, -0.3, -0.06, -137 in descending order.\nAnswer: 3\/5, -0.06, -0.3, -137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3884.526t to nanograms.\nAnswer: 3884526000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2416719 + 4833428 - 2416709 + 44*i**2.\nAnswer: 44*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1080 - 1018. Suppose -2*p - 8 = -42. Calculate the remainder when o is divided by p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mo when two letters picked without replacement from oootomoooootoooootoo?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 6.4+30790248539\nAnswer: 30790248545.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 158794191 a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -11*f**2 - 659*f + 60 = 0.\nAnswer: -60, 1\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5601 - -4?\nAnswer: -5564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 1006.505 to the nearest 100.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -14099 divided by 1\nAnswer: -14099","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -2*f - 20. Let n(w) = w**3 - 6*w**2 - 18*w + 6. Let c be n(8). Let j be s(c). Let u = 6 - 3. Solve j = -u*t + t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -195494*k**5 - 40571*k**2.\nAnswer: -11729640*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*q + 750*q = -6*q - 31941 for q.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000009072899 to 6 decimal places.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - 10 - 13. Let a = z - -55. Suppose -a = -6*w + 2*w. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, o: 3, y: 1}. Give prob of sequence cy.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*r**2 + 4*r**3 - 9*r**2 - 5*r + r**3 + 18*r**2.\nAnswer: 5*r*(r - 1)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w + 2*w + w)*(-2*w**2 - w**2 + 4*w**2)*(4 - 4 - 5*w).\nAnswer: -10*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the first derivative of -r**4\/4 - 10*r**3\/3 + r**2 - 8*r - 8. Let t be q(-11). Suppose c + 3*h - 238 = 0, -4*h + 1083 - t = 4*c. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-6 + 1 - 3)*((-4 + 3 + 0)*(-4 + 1 + 1) - 3 + 7 - 3) - 89 - 18 - 11)*(2 - 2 - u**5).\nAnswer: 142*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1202 - -10?\nAnswer: -1122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4782 and 5553496.\nAnswer: 1594","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let m be (18\/84)\/((-301)\/56 + 5). Which is the nearest to 255\/7? (a) m (b) 0.1 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 46 = 20221*r - 20216*r, 2*r + 3*s - 190 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13377?\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 50619977 to the nearest integer?\nAnswer: 7115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (96\/(-396))\/(8\/60). Which is smaller: -2 or h?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5 and 7215.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -240*f + 239*f = -8501. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -1178*i**5\/3 + 193592*i**4\/3 - 2662168*i**3 + 2694848*i**2\/3 - 215168*i\/3 = 0. What is i?\nAnswer: 0, 4\/31, 4\/19, 82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.84 - -0.16. Sort 2, 3\/8, k in descending order.\nAnswer: k, 2, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 m when two letters picked without replacement from monsoolnsmnnnmomn?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 934*h**2 - 1921*h - 7. Let k(c) = -935*c**2 + 1921*c + 9. Let p(r) = 4*k(r) + 5*o(r). What is the second derivative of p(q) wrt q?\nAnswer: 1860","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 23 - 13. Suppose -15*w = u*w - 29650. What is the tens digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 10*s**5\/7 + 18*s**4\/7 - 164*s**3\/7 - 288*s**2\/7 + 64*s\/7 = 0.\nAnswer: -4, -2, 0, 1\/5, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/(-3)*(-6)\/4. Suppose 0 = l*q - 5*q. Suppose -3*i + 2*j + 55 = q, 15 = i + 3*j - 18. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 42 or 806\/19?\nAnswer: 806\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(-1)*t)**(-2\/7)*t\/(t*t*(t**0*t)\/t*t)*t*t**2*t*((t**(-7)\/t)\/t**(2\/13))**(-4\/3) assuming t is positive.\nAnswer: t**(3280\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 4*t + 3 = -1, 4*t + 36 = 4*b. Let j be ((12*1)\/3)\/((-7)\/(-35)). What is the highest common divisor of b and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -3*r**3 + 75*r**2 + r - 6. Let l be j(25). Solve 0 = 5*v - 3*n - n - l, -3*v + 3*n + 12 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(102) - sqrt(102)*-2 - sqrt(102)))\/sqrt(6))**2.\nAnswer: 1700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 2 s when four letters picked without replacement from sgggggsgbsgggmggggdg.\nAnswer: 91\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence da when two letters picked without replacement from {j: 1, t: 5, a: 1, z: 2, k: 6, d: 2}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11.31 + -236.3265.\nAnswer: -225.0165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + -6. Let t = 16 - 6. Let k = t + o. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 125083711 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -401, -382, -345, -284, -193, -66, 103?\nAnswer: 320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.20543446 to four decimal places.\nAnswer: 0.2054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 142 - 133 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1872) - 2*(sqrt(1872) + sqrt(1872)*1 + sqrt(1872) + sqrt(1872))**2.\nAnswer: -59904 + 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 + (-2)\/((-42)\/27). What is the fourth smallest value in -5, k, 3, -1\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7061 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -85671*w*z - 45*z + 757 with respect to w.\nAnswer: -85671*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**3 - 6*c**2 - 4*c - 6. Let l be s(7). List the prime factors of (111\/l - -1)*5.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-4*sqrt(12)*1 - sqrt(12))\/(sqrt(54)*-2).\nAnswer: -4 + 5*sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -60732237 divided by 20244079\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 391 and 69.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000004708 to six decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 228 and 152?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -1\/3, 4, -15.6?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -26*m**3 + 34*m + 19. Let q(x) = 5*x**3 - 7*x - 4. Let v(r) = -11*q(r) - 2*u(r). Solve v(o) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -597, 16, 527, -2 in ascending order.\nAnswer: -597, -2, 1, 16, 527","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -10 or -36?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = n - 5. Let g(b) = -2*b**3 + 19*b**2 + 13*b - 20. Let v be g(10). Solve -n*p + 20 = 3*h, -h - v = -3*p + 2 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1344702 smaller than -1344702?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kcqyqqyakqxk. Give prob of picking 1 k and 1 x.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 462 + -506.4. Let r = p + 26.5. Let g = 19 + r. Round g to one dp.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 28*x + 43*x - 9*x + 67*x + 152 - 18*x. Let k(c) = 224*c + 305. Let w(m) = 5*b(m) - 3*k(m). What is the first derivative of w(r) wrt r?\nAnswer: -117","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 - -600?\nAnswer: 600.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 761225 or 761226?\nAnswer: 761225","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 151 = 125*b + 1122 + 963 - 309 for b.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one quarter of a centimeter?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 51*v**2 - 4894*v - 190. What is t(96)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*i + 82*i = -162*i + 51*i - 7950 for i.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*q + 9*q + 3*q = 1444. Solve 42*a = q*a + 2*f + 2, 8 = 4*a - 4*f for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2196109 (base 12) in base 5?\nAnswer: 3120333240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 101110001 (base 3) in base 10?\nAnswer: 7615","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*j + 3*j = 0. Let f(p) be the third derivative of 1\/12*p**4 - 3*p**2 + j*p + 0 + 1\/3*p**3. Differentiate f(i) wrt i.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1514769646.\nAnswer: 2, 13, 4481567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1)*u*u**(2\/21))\/(u**(1\/3)\/u**(2\/7)) assuming u is positive.\nAnswer: u**(1\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 9*v. Let a(b) = 7*b + 7. Let d(n) = -3*n - 3. Let p(o) = -o**2 + 15*o - 2. Let s be p(0). Let f(w) = s*a(w) - 5*d(w). Calculate -f(i) + l(i).\nAnswer: 8*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -226, -5, -3 in decreasing order.\nAnswer: -3, -5, -226","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -14*a**2 + 11*a + 15. Let n(i) = -i**2 - i + 3. Determine -5*n(b) + w(b).\nAnswer: -9*b**2 + 16*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-495)\/5)\/9 - -27. Let x(g) be the second derivative of 0*g**3 + p*g + 0 - 13\/2*g**2 + 1\/6*g**4. Differentiate x(s) wrt s.\nAnswer: 4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7\/31, 3, 1\/11, -0.138073.\nAnswer: -0.138073, 1\/11, 7\/31, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -191, -441, -689, -935, -1179?\nAnswer: -1421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (53 - 112 + 49 + 0 - 2 + 1 + (0 - 1 + 0)*(5 - 3 - 3) + 3 - 1 + 0 + (1 - 4 + 1)*(2 + 1 - 2))*(8 - 8 + 10)*(-2*z + 0*z + 0*z) as a + k*z and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1965*j**2 + 984*j**2 + 981*j**2 - 5*j**3 + 4*j**3.\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x**4\/4 - 276*x**3 - 41049*x**2 - 1390956*x - 4924896 = 0. Calculate x.\nAnswer: -58, -4, 488","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + 2 - (-4 - -10 - 4)) + 39\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9701 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ry when two letters picked without replacement from yrbfx.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -3*j + 17. Let n be x(4). Suppose -4 + n = -y. Let l(q) = -2*q**2 + q + 1. What is l(y)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -3*f - 7. Let n be ((-2)\/(-4)*2)\/((-12)\/(-60)). Let g(y) = -2*y - 4. Give n*g(s) - 3*d(s).\nAnswer: -s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 884 and 272?\nAnswer: 3536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, s: 2, r: 2, z: 1, y: 1, u: 1}. Give prob of sequence su.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -9 - 11. Suppose 2*c + 15 = 5*c. What is the second derivative of -39*h + 6*h**k + 37*h - 3*h**c wrt h?\nAnswer: 60*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -441 (b) -11 (c) 676\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 590\/3*x**2 - 40\/3 - 140\/3*x**5 - 20\/3*x - 415\/3*x**4 + 25\/3*x**3 = 0.\nAnswer: -2, -1\/4, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -10*b**4 - 13*b**3 - 34*b**2 - 142935364.\nAnswer: -40*b**3 - 39*b**2 - 68*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 139 + -139. Suppose t = x - 4*y + y - 7337, 2*x = 3*y + 14686. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -77*x - 83. What is the remainder when m(-4) is divided by 29?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8997 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*i - x, 5*x = -2*i + 1 - 11. Suppose i = -3*s + j + 11, -2*j + 0*j = 10. Let o be s\/(-3) + 5\/6. Which is the nearest to -1? (a) o (b) -3 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 4*d = -2*a + 1240, 5*d - 2060 = -5*a. What is the least common multiple of 1032 and a?\nAnswer: 17544","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 2*k**2 + 2*k + 18. Suppose 0 = -77*w - 375 - 10. Calculate u(w).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.04 to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 30123 + -450?\nAnswer: 2a783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 5792166 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*c**3 - 3*c**3 + 5*c**3 + (-c + c + c**3)*(-1 - 1 + 1) - 199*c**3 + 97*c**3 - 99*c**3 + (-2*c**3 - 2*c**3 + 6*c**3)*(22 - 3 + 3) + 0*c - c**3 + 0*c.\nAnswer: -160*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*j + 10, 2*j - 8 = -2*b - 4 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(33)\/((-1*sqrt(77) + sqrt(77) + sqrt(77))\/sqrt(7)))*-3.\nAnswer: -3*sqrt(3) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 31 + (7 - (2 + (-7 + 12 - -9)))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z\/(z**(-1\/4)*z))**(-18)\/((z\/(z*z*z\/(z*z\/(z\/(z\/(z\/(z**(-1\/6)*z))*z*z*z))*z*z*z)*z*z))\/z*z*z**(-5)*z) assuming z is positive.\nAnswer: z**(-67\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1*(-4 - -3)*0. Which is smaller: v or -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 + 17\/(119\/1400) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*(f\/f**(-2\/23))\/f)\/f*f)\/((f*f**(-1\/4))\/f)*f**(9\/2)*f*f*f*f**(1\/4)*f assuming f is positive.\nAnswer: f**(232\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 12 = -j, 3*j = -2*r + 4*r - 22. Suppose -4*y + 12 = 0, -6*y + 55 = 2*t - y. Calculate the lowest common multiple of (2\/j)\/(25\/210)*-5 and t.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 4, -14, -46, -98, -176, -286, -434?\n\"Answer: -w**3 - w**2 - 8*w + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-61 - -1 - ((-252)\/(-16))\/21) + (-3)\/12\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -47041600 to the nearest one million.\nAnswer: -47000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3744329826?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -6\/17 (b) 11 (c) 9 (d) -5 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 2 - (-12 + 8 + 3)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002173 to 6 decimal places.\nAnswer: 0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 715 and 48451.\nAnswer: 2664805","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1667834*m + 1668768*m = -27086 for m.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 645185 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**3\/13 - 2*p**2\/13 - 8*p - 168\/13.\nAnswer: 2*(p - 6)*(p + 2)*(2*p + 7)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1037460 to the power of 1\/2, to the nearest integer?\nAnswer: 1019","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, q: 3, x: 2, c: 1, r: 1, z: 4}. What is prob of sequence xxk?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixth of a minute in milliseconds?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10736937733 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 20.1673403 and -2162?\nAnswer: 2182.1673403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.41 + -164.41. Let s = w - -163.9999886. What is s rounded to 5 decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -100153, -4, 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(77) - sqrt(77)*3))\/(sqrt(77)\/sqrt(700)).\nAnswer: 120*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00279905869 rounded to four decimal places?\nAnswer: 0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26926158 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -1709*p + 1049. Let i(d) = -5126*d + 3147. Let h(m) = 7*g(m) - 2*i(m). Find the first derivative of h(j) wrt j.\nAnswer: -1711","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*j - 4*j. Let h = j - 0. What is the nearest to h in 4, -0.1, 0.5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 12*i**2. Let r(b) = -55621*b**2. Calculate r(o(n)).\nAnswer: -8009424*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1*(-1 - -1)\/(-3). Suppose 0*g + 3*s = -g - 13, -3*g + 5*s + 31 = v. Let r be ((-2)\/(-3))\/(14\/g). Is 1 bigger than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes before 2:27 AM?\nAnswer: 4:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u - 292 = -336, -2*r = -3*u + 29 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -1\/3 (b) -3 (c) -0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*f + f**3 - 48*f**2 + 2 + 48*f**2 to z*f**3 + w + t*f + o*f**2 and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a litre in millilitres?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 - -214a2b6?\nAnswer: 214a2b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -7*r**2 - 1. Determine t(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5492975146 to the power of 1\/9, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -232, -234, -236?\nAnswer: -238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 58399882 a multiple of 73?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 21 or 19?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * 0.6929739.\nAnswer: 0.13859478","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 8099\/1869*3*726\/78\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 767, 755, 739, 719, 695, 667, 635?\n\"Answer: -2*t**2 - 6*t + 775","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the third derivative of 79*m**2 + 0*m + 0*m**5 - 1\/12*m**4 + 0*m**6 - 29\/70*m**7 + 0 - 11\/3*m**3. What is the second derivative of c(r) wrt r?\nAnswer: -1044*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 13 + 10*f - 13. Let p(a) = 6*a + 21*a + 7*a - 29*a. Determine p(s(t)).\nAnswer: 50*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -9*y + 29. Let z be d(3). Solve z*h - 2*c - 7 = -h, 4*h + 4*c = -4 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*r - 2*r + r)*(r + 102*r - 3*r) + 2 - 2 - 5*r**2)*(2*r - 2*r - r**3)*(-1 + 2 + 1).\nAnswer: 210*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1507405 is divided by 1507404.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 11) in base 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 35622747?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-11\/5))**(2\/73)*(r**19\/r)\/r*r*r**(-1\/4)\/r)**(5\/12) assuming r is positive.\nAnswer: r**(24367\/3504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 + 1. Suppose 3*w - w - g = 0. Is w even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**2 - b - 4. Let g(c) = -4022*c**3 + 12*c**2 - 2302*c + 48. Let h(q) = -g(q) - 12*r(q). What is the second derivative of h(f) wrt f?\nAnswer: 24132*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 1 - y**2 + (-2 + 2*y + 2)*(-2 + 2 + 3*y) - 1 + 2*y**2 + 1 - 3641*y + 3641*y + 30*y**2 to p*y + g*y**2 + u and give g.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/(-25))\/((-114)\/3648) - 13.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1387*k - 10033 - 2992 = 31359 for k.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 629*k - 50. Let z be p(1). Let i = z + -563. Is 2 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**4\/9 + 704*n**3\/9 - 1402*n**2\/9 + 700*n\/9.\nAnswer: -2*n*(n - 350)*(n - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2727.28 - -2683. Let c = -44 - y. Round c to 1 dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (241\/2651)\/(1*1\/187)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eighteen fifths of a decade?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7374 - 6626. Suppose 4*a - 8 = 0, r + 0*a = -5*a + 11. Is (2 + r - 2) + y\/1 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((480\/(-175))\/8)\/((-6)\/(-15)).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 43 - 42.9. Sort -0.5, -1\/3, n, 0.6 in decreasing order.\nAnswer: 0.6, n, -1\/3, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -76476*d + 76068*d - 7752 for d.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -498 + 970. Suppose -2*k + 6*k + i = 0. Let n = k + 130. Calculate the highest common factor of 204 and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + 19 + 13. Let p be 82 - (4\/2 + 0). Calculate the highest common factor of p and t.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 193*m - 2123. Determine d(11).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20, 64, 138, 242, 376?\nAnswer: 540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.21584 and -532.\nAnswer: 114.82688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.33398 decades to months.\nAnswer: 760.0776","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 3*q + 1. Suppose 22 = q*r - k, -36 = -5*r - 4*k + 12. Suppose -3*t - 2*l - r = 3*l, t - 12 = 2*l. Is t a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 293*b = 222*b + 21939. What is the remainder when b is divided by 96?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 89886720 by -28.\nAnswer: -3210240","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -2*p. Let q = p - -6. What is the units digit of 7\/3 - 2\/q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 (base 12) in base 9?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(117)*3 + (sqrt(13) - (sqrt(13) + (sqrt(13) - (sqrt(637) + 0 + sqrt(637))) + sqrt(13)))**2 + (1*sqrt(130)*-4)\/sqrt(10).\nAnswer: 5*sqrt(13) + 1872","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eeke when four letters picked without replacement from ekeekeeeeekeek.\nAnswer: 120\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - 0. Let b = 15.3 - 20.3. What is the closest to x in 1, -0.5, b?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -176053366.4 rounded to the nearest one million?\nAnswer: -176000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 39 - -105. Let q(p) = -30*p**3 - p**2 + p - 1. Let x be q(1). Let m = t + x. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 616 a factor of 239031?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -7 + 4 + -7 - (-56)\/8. Suppose -5*d = -2*d - 15. Sort -4, d, -2, q.\nAnswer: -4, q, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -69\/44 and -43\/664?\nAnswer: 7304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**2 + c + 103. Let p be (-90)\/(-54)*108\/2. Let b = p + -90. What is the units digit of y(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 2*f**2 - 3. Let p(z) = 57 + 0*z**2 + 6*z**2 - 3*z**2 - 62. Let g(i) = -3*p(i) + 5*u(i). Let q(r) = 11*r. Give q(g(n)).\nAnswer: 11*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are 87581 and 87570 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 199 - 200. Sort o, -16, -2\/15, -4 in ascending order.\nAnswer: -16, -4, o, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-11)\/(-3))\/(3\/9). Let f = a + 11. Suppose -3*c = -4*o - 46, -2*o + 6 = -c + f. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**2 + 69*i - 192. What is the tens digit of f(43)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -6*q + q + 28, 3*q = m + 14. Let l = 9 - q. Suppose -2*k + 4*b = -0*b, l*k - 60 = -5*b. Is 8 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -269, 52, -1 in decreasing order.\nAnswer: 52, -1, -3, -269","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8283 or 8210?\nAnswer: 8283","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(126) - sqrt(126)*5)\/sqrt(2).\nAnswer: -12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 5*c + 21 = 14, 0 = -5*f + 4*c - 8 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12 and 98796.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/10*2*(-7)\/(-147).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 105 = -3*h, 3*h - d = 69 + 27. What is the remainder when 681 is divided by h?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 112739278?\nAnswer: 2, 191, 295129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-10)\/(((-8)\/(-6))\/(-2)). Let z = 19 - 26. Let w(j) = -10*j - 68. Let s be w(z). Solve 4*h - b = 2*k - h, -h = s*k - 3 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1527327 (base 12) to base 10.\nAnswer: -4284175","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8042*v - 8036*v - 1602. Let r = 59 - 29. Calculate the remainder when v is divided by r.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1954 = 7*t + 1506. What is the highest common factor of 464 and t?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: 4 - (2 - 2) - (6 - 6)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/4 of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 2*x + 2. Let u be k(8). Let j = -717 - -822. Suppose u*z - 21*z + j = 0. Does 5 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 258, 515, 772, 1029?\nAnswer: 1286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 20 + -18. What is the second derivative of 6*d + 42*d**2 + 9*d - x*d - 51*d**2 wrt d?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**3 + f**2 + 3. Let j be u(0). Solve 3*v**2 + v**j + 4*v**4 - v - 2 + 4*v**4 - 9*v**4 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-28)\/(-8) - 18\/12. What is the units digit of (2 + h)*204\/16?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -21010 + -2221?\nAnswer: -23231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 494 by -90.\nAnswer: -247\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -246090\/781 or -314?\nAnswer: -246090\/781","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 + 4*q - 5*q - q)*(555 - 40 + 180)*(q + 2*q - 2*q) to the form i + t*q**2 + a*q and give a.\nAnswer: -4170","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12 - 8. Let j = 1 + a. Let s(u) = -u + 11. Give s(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*z - 165*z - 85*z = -2568 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1079085 to the nearest integer?\nAnswer: 1039","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/32 and -61\/278016?\nAnswer: 278016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 - -4. Let h be (-21)\/(-4) - u\/(-16). Suppose 3*b = g - 3*g + 50, 77 = h*b - 3*g. Calculate the highest common factor of 128 and b.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3221844 by 6.\nAnswer: -536974","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1152)\/448)\/(612\/(-27608))?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 - 1. Solve a = c - i, -5*c + 4*a - 5 = -24 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w = -5*c - 5*w + 4, 5*w = -5*c + 25. Suppose 0 = 2*t - 4*t - 2*y + 4, c*t = -5*y + 10. Solve 3*v + 2*u = 9, -2*v + 2*u = -t - 6 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/86589 and 95\/324?\nAnswer: 346356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**3 + 14*c**2 + 14*c + 16. What is o(-13)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 34 - 27. Suppose 5 = -m*q + 8*q. Which is greater: 6 or q?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x + 16 = 2*x. Let k be 2*(-2 - (x + 0)). Solve -16 - k = 5*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - -3) + -8 + 9.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -35826, -35979, -36132?\n\"Answer: -153*x - 35673","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the first derivative of 9*l**4\/4 - 34*l**3\/3 + 19*l**2\/2 + 6*l + 43. Suppose w(x) = 0. What is x?\nAnswer: -2\/9, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 8*r**2 - 3*r - 15. Let a = 42 + -37. What are the prime factors of j(a)?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -630 (base 10) to base 9\nAnswer: -770","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -3*x. Let f(s) = -1236*s. Determine u(f(g)).\nAnswer: 3708*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 31665320 divided by 1310?\nAnswer: 24172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-40)\/(-140) - (-83973)\/21?\nAnswer: 3, 31, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 48 + -46. Is s*(-5 - (-28566)\/12) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + k)*(0*k - 187 - 2*k + 179).\nAnswer: -2*k**2 - 8*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5508211 rounded to 3 dps?\nAnswer: 0.551","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/(-45)*(-81)\/1584*-11.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1142*f + 1030*f + 896 = 0. Put -3, -2, -16, f in descending order.\nAnswer: f, -2, -3, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1365 and 5610.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -759771707 by -5.\nAnswer: 759771707\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11, 46, 145, 344, 679?\nAnswer: 1186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 5*a = 0. Let t = -1293 + 7775\/6. Let l = a + t. Calculate the common denominator of 1\/13 and l.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*r**2 - 116*r**2 + 41*r**2 + 41*r**2.\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is (16\/(-6))\/(20\/(-30)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -15.7879329 to 3 decimal places.\nAnswer: -15.788","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 5 * 0.7\nAnswer: 3.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 5*h**2 - 1853*h + 5520. What is d(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 - 1)\/(4\/(-16)). Let f be (18\/u)\/((-4)\/(-16)). What is the highest common divisor of f and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 52077, 52473, 53083, 54015, 55377, 57277?\n\"Answer: 18*s**3 - s**2 + 273*s + 51787","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -132 + -433. Let g = 1069 + s. What is the hundreds digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 502723402 to the nearest integer?\nAnswer: 795","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -508*f + 5520 = -6164 for f.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + a - 2*a = 0. Suppose 10*h = 90 - a. Is 9 greater than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54.57 rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, x: 1, o: 1}. Give prob of sequence xo.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.032433633 to three decimal places.\nAnswer: 0.032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-14)\/(-6) + (-8)\/24. Suppose 0 = -s*b - 0*b - 16. Let c be 74\/4 - b\/(-16). Calculate the greatest common divisor of 27 and c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25064 to the power of 1\/2, to the nearest integer?\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -6, -0.1, 1\/3, -252?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1656cb1 (base 13) to base 3\nAnswer: 111120110000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -141.78068 take away -0.1722?\nAnswer: -141.60848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 5813, 11472, 16963, 22280, 27417, 32368, 37127, 41688?\n\"Answer: -x**3 - 78*x**2 + 5900*x - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a + -5?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.2 (b) -3\/7 (c) 0.4563 (d) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*c - 35*c - 6*c + 588 = 13*c for c.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 - 12*u**2 - u + 22. Let l be r(12). Calculate the highest common divisor of l and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1444, 1442, 1440, 1438?\nAnswer: 1436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**2 - b. Let n(x) be the third derivative of 0*x**4 + 0*x**5 + 1\/120*x**6 + 0*x**3 + 0 + 2*x**2 + 0*x. Let t be n(1). Determine l(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 0 + 1)*(1 - 2*o**4 - 1) + 4*o**4 - 6*o**4 + 3*o**4 + 0*o**3 + 5*o**3 - 6*o**4 + 9*o**4 in the form c*o**4 + v*o**2 + n*o**3 + l*o + x and give n.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 60*a**6 + 2*a**5 - 2*a**3*g + 9*a**2*g - 202*a*g wrt a?\nAnswer: 7200*a**3 + 120*a**2 - 12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -196, 5, 0.622, 1\/5, 61 in ascending order.\nAnswer: -196, 1\/5, 0.622, 5, 61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 27 (b) -0.4 (c) 2\/5 (d) -63 (e) -0.3 (f) 1\/351\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*j + 11*j = -24. Which is the closest to j? (a) 4\/9 (b) -0.4 (c) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 112*b**2 + 334*b - 10. Let l be i(-3). Put -0.5, 20, l in decreasing order.\nAnswer: 20, -0.5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -895\/3654294 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 12012011222210 (base 3) to base 7\nAnswer: 32311326","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 1 + 0)*(4*l + 0*l - 6*l) + 1760*l + 313902 - 313902 - 5*l + 3*l + 3*l to h*l + i and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**2 - 750. Suppose w - 3*q = -7*q + 16, 0 = 5*w - 4*q + 16. Suppose 5*s = -w*s. Let x be r(s). What is x rounded to the nearest 100?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**3 - 8*y**2 + 9. Let c be l(8). Let v = -17 + c. Let z = -2 - v. Solve 3*j + 3 = 0, -7 = 2*d - z*j + 3*j for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/d**(-1\/2))\/d**(-2))\/(d\/d**2)**(-48))**(23\/2) assuming d is positive.\nAnswer: d**(-2047\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 3*h**2 + 7*h - 1. Let g(i) = -4*i**2 - 8*i + 2. Let y(x) = -4*g(x) - 5*v(x). Let a be y(4). What are the prime factors of (4 - 0) + a - 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56479 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from kwkguukuukukkkbuub?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) 1.6 (c) -0.0785 (d) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 138, 0, 3 in decreasing order.\nAnswer: 138, 3, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*b**3\/4 - 12055*b**2\/4 + 30075*b\/2 = 0. Calculate b.\nAnswer: 0, 5, 2406","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.2, 13, -5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -1650312*c - 1. Let a(u) = -4*u. Give f(a(y)).\nAnswer: 6601248*y - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 9 divided by 51\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -338404*z**4 + 14489*z?\nAnswer: -4060848*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**2 - 14. Let r be p(-4). Suppose -r*w + u = 43, 0*w + 4*u = 3*w + 77. Which is bigger: w or -20?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-5*2\/(-10))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -58 divided by -1.\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j + 2*j + 68 = 0. Suppose j + 11 = 4*n. Is 4 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*d + 0*d - 2*d)*(2*d**3 - d**3 - 3*d**3).\nAnswer: 16*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1, 2, 18 in descending order.\nAnswer: 18, 3, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 + 2314152?\nAnswer: 2314201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -29 + 25 - (1 + 2 - 3) - -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 149777134 to the power of 1\/2, to the nearest integer?\nAnswer: 12238","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y + 1. Let r(i) = -i - 3. Let x(p) = -2*g(p) + r(p). Suppose 0*q + 38 = 4*m - 2*q, -4*q = -2*m + 34. Is 2 a factor of x(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 + (2 - 4 - 8) - -5) + -6?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the second derivative of -g**3\/6 + 2*g**2 - 6*g. Determine j(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -350880 by -86.\nAnswer: 4080","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 7 = 17. Let m(o) = 21*o**3 + 6*o + 6. Let n(u) = -u**4 - u**3 - u**2 - u - 1. Let i(q) = j*n(q) - m(q). Factor i(s).\nAnswer: 3*s**2*(s - 2)*(2*s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 191 < 131?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 74 - (19 + -64 + 82)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1045?\nAnswer: 5, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23*r - 24*r - 23*r to z*r + g and give z.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 527972 + -106590. Let d = -1811382 + g. Round d to the nearest 100000.\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3.351171 and -2.68.\nAnswer: -6.031171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -53*b + 4 - 15*b - 1 + 0 - 2 as p + m*b and give m.\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-28)\/g**7*g\/(g\/(g\/((g**28*g)\/g*g)))*g*g*(((g**42*g*g)\/g)\/g)\/g assuming g is positive.\nAnswer: g**(-20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -430*t - 678*t - 394*t as f + d*t and give d.\nAnswer: -1502","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19 + 10. Let n be 114\/27 + 2\/j. Solve -16 = -5*w + n*a, -2*w - 2 = a - 11 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrr when three letters picked without replacement from {r: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**0)**13*(x**(-1))**(-2\/5) assuming x is positive.\nAnswer: x**(2\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 12 = -84. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -4*c**2 - 1. Let x be i(-1). Let f(z) = -2*z + 1. Let d(n) be the third derivative of -2*n**2 + 1\/12*n**4 - 1\/6*n**3 + 0 + 0*n. Give x*d(j) - 6*f(j).\nAnswer: 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.5 - 2.5. Let a(i) = -4*i - 36. Let t be -1 + 7\/(35\/(-25)). Let v be a(t). What is the second biggest value in -2\/11, u, v?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/99*(-6)\/(-8)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*i**2 + 22*i**2 + 13*i**2 + 7.\nAnswer: 28*i**2 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 4*a - 6. Let u be p(1). Let l = 8249\/5 - 1643. Find the common denominator of ((-82)\/(-32) + u)\/(4\/(-88)) and l.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -5*x + 17*x - 13 + 2*x**2 - 12*x. Let w(c) = -c**2 + 4*c + 8. Let d be w(6). Let h be b(d). What is the greatest common factor of 209 and h?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 4*z. Let k(g) = g + 566. Give r(k(o)).\nAnswer: 4*o + 2264","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -24883 - -24882.84007. Let x = 0.23 + -0.39. Let r = j - x. What is r rounded to four decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 42d - 0?\nAnswer: 42d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8383?\nAnswer: 83, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 186 - 2 = 4*r. Is 23 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3641404236 to the nearest one hundred thousand.\nAnswer: -3641400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2435385579?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*g**4 + 2*g**5 + 639687359*g - 639687359*g + 18*g**3.\nAnswer: 2*g**3*(g - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2, 19, 4\/7 in decreasing order.\nAnswer: 19, 3, 2, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -15539.\nAnswer: -2\/15539","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -6 + -3 + 4 - -6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*h**3 - 8*h**3 + 6*h**3 + 14*h**3.\nAnswer: 14*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 6121, 12088, 17793, 23104, 27889, 32016, 35353?\n\"Answer: -22*f**3 + f**2 + 6118*f + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**2 - 3. Let i(d) = 6*d**2 + 18*d - 9. Let a(n) = -3*h(n) + i(n). Let t(s) = -2*s**2. Calculate t(a(c)).\nAnswer: -18*c**4 - 216*c**3 - 648*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 190*x**3 + 46*x - 46. Calculate the remainder when 945 is divided by q(1).\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7.1 * 5.\nAnswer: 35.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/78 and 131\/198?\nAnswer: 2574","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*g**2 + 132 + 5*g**2 - 5*g**2 + g**2 to n*g + m*g**2 + h and give h.\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2790, -5599, -8398, -11181, -13942?\nAnswer: -16675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (189\/(-28) + 7)*8.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes before 4:34 PM?\nAnswer: 5:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*4443.6.\nAnswer: 1333.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 225*o + 678. Let p be j(-3). Solve p*y - 3*w = 0, 0 = -5*y - w + 34 - 10 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 601608?\nAnswer: 601608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2549316 and 6417?\nAnswer: 175902804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6f (base 16) to base 5.\nAnswer: -421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 1926642?\nAnswer: -1\/642214","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 19044 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 35491 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 1, 1\/8, 19 in increasing order.\nAnswer: 0.1, 1\/8, 1, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*k + 7*k = -5*a + 8, -a = -k - 2. Let o be (-3 - (-4 + a))*0. Solve 0*z + 2*z + 2 = o for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/(d*d**(-11)\/d))\/d)\/((((d*(d**(10\/9)\/d*d)\/d)\/d)\/d)\/d)*(d*d\/(d**1*d))**(24\/7))**34 assuming d is positive.\nAnswer: d**(3944\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**2 - 7*v + 3. Let u be n(-7). Suppose 0 = u*o + o - 988. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 74*k**3 + 2*k**2 + k - 3. Let d be p(1). Suppose -d = -3*y + 142. Let v = -7 - -15. Calculate the greatest common factor of y and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5428 less than or equal to -5398?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 u when two letters picked without replacement from {u: 1, n: 1, y: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -419876616*j**5 - 4*j**2 - 612779*j - 21 wrt j.\nAnswer: -25192596960*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 3*u + c = 6, -5*u - 2*c + 42 = 0. Is 10 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -i. Let j(o) = -o**3 - o**2 + o - 540000. Let d be j(i). Round d to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 201*m - 25. Let p(l) = -58*l + 8. Let y(s) = -2*h(s) - 7*p(s). Let a(d) = d**3 - 6*d**2 + 2*d - 8. Let k be a(6). Calculate y(k).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**3 - 7*v**2 - 12*v + 7. Calculate y(8).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes before 5:30 PM?\nAnswer: 6:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 9047 + -4?\nAnswer: 9043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*h = 15*h - 45. Let c be -3 + (-6)\/((-18)\/h). Find the second derivative of t**2 + 4*t**2 - 8*t + 4*t**c wrt t.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 96423722 to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -10*o - 4*m + 179, 3*o = -3*m + 108. Let q be (-7)\/(o\/(-2))*(-105)\/(-28). Determine p so that 3\/2*p**2 - q + 0*p = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 269 and 70749.\nAnswer: 19031481","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*r**5 + 6600*r**4 - r**2 + 115*r + 85 wrt r?\nAnswer: 40*r**3 + 79200*r**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000128516 rounded to 7 dps?\nAnswer: 0.0000129","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 102\/(-3) - 131\/((-917)\/(-98)).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.09, -3\/4, 9?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 8*z**2 + 38*z - 28. Let f be v(-11). Let j = f - 532. Let k(m) = -m**2 - 8*m + 12. Give k(j).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-160)\/(-3576))\/((-28)\/(-6))*6314\/4510\nAnswer: 2\/149","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.05, 0.1, 1, 0.5 in descending order.\nAnswer: 1, 0.5, 0.1, -1.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -137 + 157. Let u(v) = -v - 1. Let m be u(-6). Suppose -2*f = 7*j - 2*j - 6, -10 = m*f. What is the greatest common factor of j and t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6297 or 1\/3?\nAnswer: -6297","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 218912559?\nAnswer: 3, 72970853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4662?\nAnswer: 2, 3, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -4891d (base 14) to base 5\nAnswer: -21134112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 + -6. Let u(v) = -4*v - 5. Let s(b) = 8*b + 10. Let o(w) = j*s(w) - 5*u(w). Let l be o(-5). Solve -4*p + p = -l for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 13 = -2*d + 7*d, 3*y = 4*d + 22. Let v be (-50)\/(-15) + (-2)\/y. Solve s - q - v*q = 3, 3*s + 8 = -5*q for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2*w**4 + 0 + 1)*(-73*w + 51*w - 123*w).\nAnswer: 290*w**5 + 290*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - ((-3 - 7) + 16 + -64)) + 30 + -22?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) 0.02 (c) 1.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 15*l**2 - 15*l**2 - 5*l**5 + (-l**4 + 3*l**3 - 3*l**3)*(2371 + 715*l - 2371).\nAnswer: -720*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*f - 4*n + 20, -2*n - 2*n = 2*f - 20 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the second derivative of u**5\/110 - 4*u**4\/33 + 17*u**3\/33 - 10*u**2\/11 + 2*u + 3. Suppose a(c) = 0. What is c?\nAnswer: 1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 2*i + 6824. Let l be d(0). Let v = l + -109219\/16. Find the common denominator of -13 and v.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 - 8. Suppose l - 2*l - 4 = h. Let x = l - -22. Is 11 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -46969 + 6914. Let k = h - -6055. What is k rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1796.9 (b) -1\/6 (c) -2\/5 (d) 0.14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -920 + 921. Which is the second biggest value? (a) t (b) -2\/5 (c) -6\/7 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67 = -3*l - 2*l + 3*c, -l = -5*c - 9. Suppose 6*b = b - 30. Calculate the remainder when 8\/12*(-369)\/b is divided by l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*b**2\/5 - 1621626*b\/5 = 0. Calculate b.\nAnswer: -540542, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -22 - -25. Let p(s) = -10*s**2 + 9*s + 3. Let m(w) = 12*w**2 - 8*w - 4. Let a(j) = d*m(j) + 4*p(j). Let a(y) = 0. What is y?\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2*r**2)*(37*r**3 + 54*r**3 - 79*r**3) + 3*r**4 - 3*r**4 + r**5 - 18*r**5 - 14*r**5 + 17*r**5.\nAnswer: 10*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -2\/9 (b) -4 (c) 43\/210 (d) -5 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + ((21 - -17) + (-16 - -5) + 2 - 6)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 28\/123 - 2\/369. Let f = -69.23 - -66.4. Let n = -0.17 + f. Which is the nearest to 0.2? (a) -0.5 (b) i (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002926104685 rounded to 5 dps?\nAnswer: -0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.794298 rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + -7 + -6 + (12 - 7) + -4.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 2*r. Let l(i) = -5247*i - 231. Let z(k) = -114*k - 5. Let c(x) = -5*l(x) + 231*z(x). What is p(c(t))?\nAnswer: -198*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(189)\/(sqrt(7) + sqrt(175)))**2 - (sqrt(675) + -1*sqrt(675))**2) + ((sqrt(432) + -2)**2*-3 - (sqrt(432) - (sqrt(432) + 4*(-2 + sqrt(432))))**2).\nAnswer: -33133\/4 + 912*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 103 - 65 = -2*i, 885 = 5*d + i. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the first derivative of 847*b**5\/5 - b**4\/2 + 2*b**3\/3 + 4241*b + 1349. Find the first derivative of y(p) wrt p.\nAnswer: 3388*p**3 - 6*p**2 + 4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from emeeemmeeee.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 601893.\nAnswer: 3, 66877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 766287 and 2321622?\nAnswer: 7587","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 5) to base 16\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -56410 or -1.9?\nAnswer: -1.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(624)*-1)\/sqrt(12) + 2 + (sqrt(117) + (sqrt(117) - (sqrt(117) - (sqrt(117) + 3*sqrt(117)*2) - sqrt(117))))\/sqrt(9).\nAnswer: 2 + 21*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 20\/391?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 21.41 - 21.341. Sort 44, m, 2.\nAnswer: m, 2, 44","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-10 - -3) + 3)*(-1)\/2. Let g = 2 + 1. Solve -4*h - 8 = g*n, -2*n + t - 6 = 2*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 + -13.2. Let w = m - -0.2. Let y = -41.7 + 42. Which is the second biggest value? (a) w (b) y (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 5 - 21 = 0. Suppose -5*s + 282 = -q*j + j, -3*s = -j - 166. Is 27 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(800) + -4)**2.\nAnswer: -4080 + 800*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-45708)\/(-1758)*((-2)\/(-5) - 54\/210).\nAnswer: 26\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the first derivative of -g**8\/560 - g**7\/350 + 3*g**6\/200 + g**5\/20 + g**4\/20 + 2*g**2 + 1. Let y(l) be the second derivative of w(l). Factor y(n).\nAnswer: -3*n*(n - 2)*(n + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3386 divided by -6.\nAnswer: 1693\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**3 - 22*y**2 + 14*y - 48. Let u be r(21). Let q be u\/10*3\/((-27)\/6). Solve -2*i + q = 11 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (0\/4)\/4 + 18 and 48.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (24\/(-30)*5)\/(4\/(-3)). Let r = 2 - 1.7. Which is the nearest to 1? (a) -4 (b) r (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/16 of a gram?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*r - 10*r = 0. Suppose r = -5*l - 11 + 26. Suppose 3*b - 4 = -2*z - 0*b, -l*b = z + 4. What is the remainder when 31 is divided by z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a + 15. Let p be t(-13). Suppose -4*g = -3*g - 4*b - 11, p = -4*g - 2*b. Put 1, -4, g, -2 in decreasing order.\nAnswer: 1, -2, -4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 87*g**2 + 98. Let j(m) = -21240*m**2 + 21326*m**2 + 47 + 50. Let a(q) = 4*c(q) - 3*j(q). Find the first derivative of a(v) wrt v.\nAnswer: 180*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 - -6. Let o = 251 - 1756\/7. Let g = -0.6 + 0.7. Which is the closest to d? (a) g (b) -3 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -2 + 56*s - 58*s + 2. Let c(y) = -2*y + 6. Let d(f) = f - 1. Let k(r) = c(r) + 6*d(r). Give k(h(g)).\nAnswer: -8*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-18)\/(-15)*(-10)\/(-6). Let m be (2 + (-12)\/3)\/(-1). Solve 14 = m*w + t*x, -4*w - 5*x = -37 + 6 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 119 - 132 = -13*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4618 + -4619. Put -4, -7, -3, d in descending order.\nAnswer: d, -3, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y - 4*y = 178. Let q = 1461\/16 - y. What is the common denominator of -95\/4 and q?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 + 13. Let b(x) = x**3 - 3*x**2 - 4*x + 5. Let j be b(i). Suppose -j*q + 607 = 2*y, 5*q - 3*q - 2 = 0. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) -2 (c) 61 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 83.987 take away -5?\nAnswer: 88.987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 648964.8 days in nanoseconds?\nAnswer: 56070558720000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 202632*i**2 + 81629*i**2 + 205821*i**2.\nAnswer: 490082*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8060 and 62372.\nAnswer: 4054180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1193898, 4775585, 10745054, 19102299, 29847314, 42980093, 58500630, 76408919?\n\"Answer: -g**3 + 1193897*g**2 + 3*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the third derivative of 1\/12*a**5 + 135\/2*a**3 + 0 + 0*a - 15\/4*a**4 - 12*a**2. Factor y(d).\nAnswer: 5*(d - 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12121012001200 (base 3) to base 12\nAnswer: bb6153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y**3\/3 - 580*y**2\/3 - 93425*y + 54417750 = 0. What is y?\nAnswer: -530, 555","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*r - r - 765 + 10*r - 10*r.\nAnswer: 2*r - 765","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.192 times -0.4?\nAnswer: -0.4768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 31*s - 24*s + 35 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 102 by 1.\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or -9.86?\nAnswer: -9.86","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 divided by -302569?\nAnswer: -154\/302569","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes after 7:08 AM?\nAnswer: 1:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*q + 63 = 13*q. Let m(y) = -21*y - 187. Let x be m(q). Solve x*b = 6*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 667 - 9?\nAnswer: 659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 474 by -38040.\nAnswer: -79\/6340","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -34648.6581 to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/56 and -53\/35436.\nAnswer: 496104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -344.30698 rounded to 1 dp?\nAnswer: -344.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 25713823 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-30)\/20)\/(1\/(-2)). Let w = 28 - y. Solve 45 = -4*j + 5*u, 0*j + 2*u - w = 3*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2*(14\/(-6) + 2). Let k = -32 + 35. Suppose -k*o + 10 = -o. Which is the third biggest value? (a) 1\/3 (b) o (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1061360182 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -733*c**2 + 1075*c**2 - 6650*c**2 - 8 - 5035*c**2 + 363*c - 141*c wrt c.\nAnswer: -22686","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 41087 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a + 2*t - 210, t = 5*a - 85 - 110. List the prime factors of a.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20323 (base 5) to base 4\nAnswer: -110322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41 + 26 - 67 + 1708286*d + 1708281*d - 3416565*d.\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does -117 = -114?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3158777270?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -i - 39, -185 = 3*i + 4*d - 36. Let f = i - 69. Let m = f + 243. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -127, -133, -135, -127, -103, -57, 17, 125?\n\"Answer: z**3 - 4*z**2 - z - 123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**3 - 9*o**2 + 11*o - 4. Suppose -2 = -2*t - 8. Let r be t\/12 - (-33)\/4. Is 16 a factor of y(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 115265 - 58739. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(891) - ((sqrt(891) - (sqrt(891) - sqrt(891)*-1))*4)**2) + (-6*(sqrt(891) + sqrt(891)*-1))**2.\nAnswer: -14256 + 9*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (-6 - (-9 + 3 - 2)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the second derivative of 23*o**6\/720 + 47*o**5\/120 - o**4\/3 - o**2\/2 - o + 37. Let d(w) be the third derivative of g(w). Differentiate d(p) wrt p.\nAnswer: 23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - 2 - (0 + 3 + 38 + -48).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**3 + 2*w**2 - 1. Suppose -796*h - 10 = -801*h. Let p be (-48)\/660*-30 - h\/11. Determine t(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 311794577 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/20 and -83\/40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 4*l**2 + 7*l + 111. Let a be t(0). Let u = 1335 - 646. Suppose -f + u = -a. Round f to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 60 - 14 = 0. Suppose -3 + q = 5*s. Suppose 0 = s*v - 323 - 65. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2380\/((-812)\/29)*12\/30\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.0621 or -1\/4?\nAnswer: -0.0621","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -58867 and 6?\nAnswer: 58873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 995 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: Let h = -38599 + 38603. What is the fourth biggest value in -2.424, 0.1, -4, h?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 36 and 8604?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001182 rounded to six dps?\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 113835950 to the power of 1\/2, to the nearest integer?\nAnswer: 10669","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -u + 53*u**3 + u + 8*u**3 + 4*u - 2*u.\nAnswer: 61*u**3 + 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -242, -1527, -3858, -7235, -11658, -17127, -23642?\nAnswer: -31203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15 and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d = 2*i - 13 - 2, i = -3*d - 6 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 167*v**3 - 98*v**3 - 11*v**3.\nAnswer: 58*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 99878458915 + 15*g - 99878458915.\nAnswer: 15*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 127909\/(-5082) - 8\/36*6. Let w = 9849761\/847 + -11629. Let m = w - o. What is the common denominator of 69\/26 and m?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + 32 - (63 - 22)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence guw when three letters picked without replacement from {m: 2, w: 1, u: 4, f: 1, g: 3, j: 1}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 1368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3329 and -4?\nAnswer: -13316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q + 2*i + 407 + 399, -618 = -3*q - 3*i. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.818376 * 3.2\nAnswer: -5.8188032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*f - 26 = 32. Find s, given that -11\/2*s**f - 9\/4*s**3 + 2 + 9\/4*s**4 + s = 0.\nAnswer: -1, -2\/3, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (187885 - -10) + -37 + 19 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 273\/98 + 12\/7 + -2. Find w, given that i*w**4 - w - 5\/2*w**2 - 1\/2*w**3 + 3\/2*w**5 + 0 = 0.\nAnswer: -1, -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -134.8 - -135. What is the third biggest value in -0.5, -0.3, g, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-12) + (-55)\/(-20) + -9.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -119, -236, -355, -476?\n\"Answer: -f**2 - 114*f - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -t**3 - 9*t**5 + 5407*t**2 - 702*t**4 + 988*t**2 + 704*t**4 wrt t?\nAnswer: -540*t**2 + 48*t - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -34 (base 6) to base 12\nAnswer: -1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((-1*(sqrt(153) + sqrt(153) + 0) - ((sqrt(153) + sqrt(153)*2)*2 + sqrt(153))) + -2 + sqrt(153) + -1 + 1 + sqrt(153) + -1)*1)**2.\nAnswer: 3150*sqrt(17) + 187650","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1194.618ms?\nAnswer: 0.0199103","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in -1, 16, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 327530*n*u**2 - n*u - 3*n + 25*u + 216 wrt u?\nAnswer: 655060*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((3 + 3 - 5)*(2 - 4 - 1) + (0 + 2 - 1)*(3 + 2 - 6))*(o**3 - 2*o**3 - 3*o**3) to the form x + q*o**3 + g*o + a*o**2 and give q.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/(-4)*(-24600)\/(-3444).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - 1.4. Let r(t) = -t**2 + 2*t - 1. Let o be r(-5). Let y be (-8)\/o + (-16)\/18. Which is the closest to y? (a) 2 (b) u (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**2 + 6*r - 7. Let z(d) = 2*d + 0*d - 3*d + 6. Let q be z(6). Suppose -2*y - 2 + 12 = q. Calculate a(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eight thirds of a century?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = f - 6*f + 19, 0 = -f + 3*s + 7. Let l(m) = -m**3 - 8*m**2 - 4 + f + 8 + 1 - 8*m. Let i be l(-7). Calculate the highest common divisor of i and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 9\/(-3) - (2 - (-23)\/(-4)). What is the second smallest value in -0.3, -4, t, -8?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 divided by -2?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.93 - -0.07. Let d = r - 1.0000014. What is d rounded to 7 dps?\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 42 + -20. Does 48 divide c\/((3\/24)\/(-3 - -6))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -8*m**2 + 2*m + 1. Calculate b(2).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8707 + 13479.2.\nAnswer: 4772.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 9 - 5 = 0. What is the nearest to -2\/9 in -1\/2, 0.6, b?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -8*f + 3. Give t(6).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 866 greater than -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1195799404?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 486 a factor of 1380784?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 6*o. Let r(g) = 0*g - g + 10*g - 6*g + 5. Let x(w) = 4*w + 6. Let z(c) = -6*r(c) + 5*x(c). Determine v(z(l)).\nAnswer: 12*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -666*v**3 - 12*v**4 + 918 - 43*v**3 + 340*v**3 - 2967*v**2 - 1935*v - 243 = 0 for v.\nAnswer: -15, -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 65 + -73.4. Let z = 124 + -115. Let i = x + z. Which is the third biggest value? (a) i (b) 3 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (20\/8)\/(4\/48). Let s = 35 - b. Suppose 0*g = -2*l - 3*g - 9, -2*l + 4*g = 2. Put l, s, 4 in descending order.\nAnswer: s, 4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*n - 37 = 128. Solve n*f + 6 = 12 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -143? (a) -859\/7 (b) -1\/2 (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1*(-1 - (3 - 0)). Is b less than -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + -0.3. Which is the closest to -1? (a) 0.1 (b) 4 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-110)\/(-4)*(-24)\/(-30). Which is smaller: 20 or l?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/18 and 3*48\/252 - 11\/(-1806).\nAnswer: 774","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - 6 = 2*s - 30, 5*t = -5*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1376461 - 3066461. What is n rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/10 + 16\/(-40). Sort 3, 5, p in decreasing order.\nAnswer: 5, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6 - (85\/(-3))\/(-5). Let h = 2059\/4 - 10447\/20. Let k = 352\/45 + h. Which is bigger: q or k?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 - (-374)\/(-220)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 16\/(-24) + (-584)\/(-12). Calculate the greatest common divisor of z and 416.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 108 = 18. Let n be (2\/3)\/(10\/z). Let b be n - (2 + -3)\/1. Which is smaller: 5 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 b when two letters picked without replacement from {x: 1, c: 1, m: 2, a: 2, b: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 9*z**2. Let r(u) = -14*u**2 - 1209 - 15*u + 6*u**2 - u**3 + 1206. Let p be r(-3). Let f(l) = 10*l**2. Determine p*w(i) + 2*f(i).\nAnswer: -7*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b**4 + 12114*b**3 - 12420783*b**2 + 385873944*b - 722161620 = 0. Calculate b.\nAnswer: 2, 30, 2003","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + k - 45 = 0. Let c be k\/(-1 + -2) - 0. Suppose -3*h - 2*h = c*b - 5830, -5 = 5*h. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 7) in base 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**2. Let c be d(2). Let u be (-8)\/c*(-3 + 1). Let j = u - -3. Put -5, -2, j in descending order.\nAnswer: j, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes before 7:40 AM?\nAnswer: 9:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*y + 3*f - 8*f + 37, 26 = 2*y + 4*f for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/20*1\/(-4)*5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1904*p - 1899*p + 45 = 0 for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7.4 - -8. Let a = 0.4 - t. Let k = 2.87 + 0.13. Sort k, -5, a.\nAnswer: -5, a, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a centimeter in millimeters?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -265 + 490. Determine k so that 4*k**3 - 21*k**2 - 112 + b - 19*k - 107 = 0.\nAnswer: -1, 1\/4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in fifty-nine quarters of a meter?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 19*h + 432. Let d be m(-23). What is the nearest to -6 in -0.2, -1\/17, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 23327\/130 - 3036\/13. Let z = y + 54. What is the common denominator of (-3)\/20 - (-2)\/8 and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 115 and 5205.\nAnswer: 119715","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-5) + (-1)\/(-10). Let u = 28.03 + -28. Let c = -0.13 + u. What is the nearest to c in -4\/9, n, -3\/2?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -109*a = -118*a + 135. Suppose 5*i + j = 15, a*j = -i + 9*j + 3. Suppose -1\/2*m**4 + 0*m - m**i + 0*m**2 + 0 = 0. What is m?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 - 10201020102110120?\nAnswer: -10201020102110201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -177 + 180. Is 5 a factor of (2 - n)*(16 - 411)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 10 = 5*q, -b - 30*q + 9 = -32*q for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(17) - (sqrt(17) - sqrt(136)\/sqrt(288))) + sqrt(153)\/(sqrt(9) + (sqrt(9) - sqrt(576))))*1)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2538)\/15)\/(5 + 27\/(-5)) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**3 + 6*j**2 - 2*j. Let r be t(-6). Suppose -3*y = 3*k - r, -3*k = -2*y - 0*y + 3. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes after 1:06 AM?\nAnswer: 12:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 162906 is divided by 556?\nAnswer: 554","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the second derivative of -c**7\/84 - c**6\/2 - 39*c**5\/10 + 527*c**4\/12 - 289*c**3\/4 - 92*c - 5. Suppose p(v) = 0. Calculate v.\nAnswer: -17, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(-35))\/(m**24*m))\/(m**34*m\/(((m*m**(-3\/19))\/m)\/m)) assuming m is positive.\nAnswer: m**(-478\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 33614413233 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 2218?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 3*a**3 - 2*a + 4. Let h be k(-3). Let j = 185 + h. Calculate the remainder when j is divided by 29.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -360, -16, -1 in descending order.\nAnswer: 0, -1, -16, -360","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from {a: 2, r: 4}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-68)\/(-36) + (-28)\/126?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1690*q**3 - 36*q**2 - 3 - 1333*q**3 + 2408*q**3 wrt q?\nAnswer: -3690","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4351 * 0.3.\nAnswer: -0.13053","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4\/7, -186, -1\/5, -1.1?\nAnswer: -186","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -396*l + 384*l + 120 for l.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2423321 (base 5) to base 11\nAnswer: 31179","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a**5)\/a)\/a*a\/(a**(3\/2)\/a))\/(a**(-4)\/a**2)*((a**(1\/5))**40)**(-9) assuming a is positive.\nAnswer: a**(-123\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (99\/(-24))\/(27\/(-12)). What is the second smallest value in k, -0.5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 138 is divided by 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*h**3\/2 - 1504615*h**2 - 234697125*h\/2 - 2288222820.\nAnswer: -5*(h + 39)**2*(h + 601768)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-8) + (-279)\/(-36). Solve -w = -3 + s for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h + 1. Let w(b) = b**2 + 8*b - 6. Let m(f) = -w(f) - 6*z(f). Let i be m(-2). What is the nearest to i in 0.2, 2\/5, -1\/4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.30553 - -0.00553. Put -1, 2, d, 224\/9 in descending order.\nAnswer: 224\/9, 2, d, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 2*z**3 + 2*z**2 - 3*z - 5. Let f be b(4). Suppose -f*s = -144*s + 936. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 165 and 369204.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-8) - (-11)\/(-4). Let g be (-4 - (f - -2)) + 8. Solve 0 = 3*k - 2*k + g for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxxxdxxxxxxxxxxxxx. What is prob of sequence xxxx?\nAnswer: 15\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 2*y**3 - y**2 - 10*y + 1. Suppose -29*m + 27*m = -10. What is the tens digit of a(m)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a decade in months?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 d when two letters picked without replacement from udodu.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1226398.\nAnswer: 2, 613199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 55049 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -36*n + 15*n + 0 - 1 + 23*n**2 + 48*n**2 as v*n + s*n**2 + k and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 101902 to the power of 1\/2, to the nearest integer?\nAnswer: 319","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1041 (base 5) in base 10?\nAnswer: -146","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12 + -9. Suppose -k = 5*x - 68, k - h*k = -2*x + 32. Let b = -9 + x. What is the remainder when b is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 10135 or 10134?\nAnswer: 10135","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 0*b - b - b. Let q(z) = -12*z. Let y(p) = 6*p. Let r(f) = -2*q(f) - y(f). Calculate r(o(d)).\nAnswer: -36*d","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 444052 is divided by 429.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 4 = 4*o - 3, o = 4*w + 7. Suppose s - 2 - o = 0. Sort 0, -1, s in descending order.\nAnswer: s, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*a**2 - 7793*a + 7792*a + 11*a**2 - a**4 - 14*a**2 + 101 to k*a + w*a**3 + x*a**2 + u*a**4 + j and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16 + 10. Let g be -45*-6*4\/(-18). What is the least common multiple of g\/n*(-4)\/(-10) and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 80 and 326020?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-3\/11)\/x**(4\/3))**(2\/11) assuming x is positive.\nAnswer: x**(-106\/363)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2002201112211 + -10?\nAnswer: 2002201112201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, u: 3, o: 3, z: 1, a: 1, c: 5}. Give prob of sequence cuzo.\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -46*t + 66. Let r(c) = 5. Let g(a) = 2. Let h(w) = -3*g(w) + r(w). Let x(y) = -5*h(y) - o(y). What is the first derivative of x(q) wrt q?\nAnswer: 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 763292 to the power of 1\/4, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 8) to base 4\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 106032524 times 1.1?\nAnswer: 116635776.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-78)\/(-429))\/(6 - (-2561)\/(-429))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the first derivative of 21*x**4\/4 + 59*x**3\/2 + 81*x**2\/2 + 27*x\/2 + 446. Let m(y) = 0. Calculate y.\nAnswer: -3, -1, -3\/14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/3 (b) 2\/15 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*j + 3*b + 72 = 0, -j + 4*b + 367 - 306 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -5*h**3 + 224*h**2 + 55*h + 60. Let s be f(45). Solve s*d = 506*d - 20 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 228.5 - 178. Let z = m + -291.5. Let h = 241.0141 + z. Round h to 3 dps.\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 - 6. Let u = 3 - i. Suppose y + u*y - 4 = 0. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.3 (b) 1 (c) 18 (d) -2\/17 (e) 5 (f) 2\/1347\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -4*j**2 + 169*j + 936. Give p(47).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((57\/513)\/((-5)\/25))\/((-1)\/12)?\nAnswer: 20\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j + 1. Let o(w) = 2*w - 1. Let q(f) = -2*h(f) - 3*o(f). What are the prime factors of q(-11)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5937 and 498.6.\nAnswer: -2960188.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/7560 and -41\/574560.\nAnswer: 574560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1349 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - 3*f + 36 = 0, -5*c + 2*f = 12 - 51 for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4391 - 87803\/20. Let u(l) be the second derivative of 0*l**2 + 0*l**3 + 4*l + 0 - 7\/6*l**4 - z*l**5. What is the third derivative of u(d) wrt d?\nAnswer: -102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the second derivative of -s**9\/1512 - s**5\/120 + s**3\/6 - s. Let c(o) be the second derivative of z(o). What is the second derivative of c(k) wrt k?\nAnswer: -40*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.4 - -3. Let r = -0.8 + 0.3. Let z = 1.5 - r. Which is the smallest value? (a) -2\/9 (b) z (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/2)\/(-3*11\/44).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 3 l when four letters picked without replacement from {w: 6, o: 4, l: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2870490949.\nAnswer: 19, 151078471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 23, -5 in descending order.\nAnswer: 23, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 154 - 134. List the prime factors of q.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -44, 2\/3, -2\/7, 1.3, 4, 15 in decreasing order.\nAnswer: 15, 4, 1.3, 2\/3, -2\/7, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-189)\/12 - 1\/(-4). Let o = -16 - c. Let b = 0.126 - 0.186. Put o, b, 4, -4 in increasing order.\nAnswer: -4, o, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2118*(-660 - 1) - -2. Suppose 2*d = 3*d + c. What is d rounded to the nearest 100000?\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1722)\/(-18081))\/(6\/2961).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5)\/25 - (-24)\/(-5). Let p be (-3)\/((-9)\/(-6)) + z. Which is greater: -15\/2 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 7 - ((-1 - 1) + 4). Let u = w - 2. Suppose 44 = n + u*n. Does 11 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g**5\/4 - 63*g**4\/4 - 165*g**3\/4 - 45*g**2\/4 + 42*g + 27 = 0. Calculate g.\nAnswer: -18, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 2*w + 6*w - 7*w + 4.\nAnswer: -3*w + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 11 = -2*k, 43*k = 3*u + 42*k + 16 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.1, -1\/2, -1\/6, 0, -0.561, 3?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-three thirds of a year in months?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-1095)\/10)\/((-51)\/340).\nAnswer: 2, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 0)*(483 - 483 + 58*n)*(0*n**3 + 0*n**3 - 2*n**3).\nAnswer: 232*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/6 of a decade?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-14)\/(-4)*628\/(-9). Let x = s - -244. Suppose 3*q + 2*q = 0. Which is smaller: q or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (83 - 30) + -11 - 14?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of p**5 - 5313*p**4 - p**3 + p**2 + 679*p + 2.\nAnswer: 60*p**2 - 127512*p - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3540)\/(-18) + (-15)\/((-360)\/32). Solve 5*b + 173 = x for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -1889952*u + 1. Let p be q(1). Let a = p + 3389951. Round a to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(1\/3)*t)**43\/((t**(4\/5)\/t)\/t*t\/t**(-1\/3)))**(-9\/10) assuming t is positive.\nAnswer: t**(-1287\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) 3\/167522 (c) -169 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 0 + 3)*(5 + u**3 - 5) - 3 + 2*u**3 + 3 + 32*u + u**3 - 749*u**2 + 1494*u**2 - 746*u**2.\nAnswer: 2*u**3 - u**2 + 32*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -46\/1089 and -67\/990?\nAnswer: 10890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 16\/(-27) + 6\/9. Is t >= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 4*t = 27, 2*i - 2*t - 19 = -3*i. Let r(l) = -2*l + 3. Give r(i).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 75, 121, 227, 423, 739, 1205, 1851, 2707?\n\"Answer: 5*t**3 + 11*t + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6\/(-4))\/((-6)\/8). Let q(c) = -c + 2. Let a be q(l). Suppose -x + 2*z = -a*z - 14, 3*z = 0. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26538*f**3 - 13161*f**3 - 13425*f**3.\nAnswer: -48*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 82\/5*25\/10. Suppose -5*i = -6*i + o. List the prime factors of i.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**2 + 5*d - 2. Let x be f(-8). Let r = x - -6. Find the third derivative of -31*k**2 - 15*k**2 + r*k**2 + 18*k**3 wrt k.\nAnswer: 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*-0.15\nAnswer: -0.075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(1008) - (sqrt(1008) + 3) - sqrt(1008)))**2.\nAnswer: 2592*sqrt(7) + 36612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**3 + 5 + 3*z**2 + 14*z + 12 - 9 + 2*z. Let s be p(6). Suppose 4*a - 21 = -25. Which is bigger: a or s?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7540, 4580, 1618, -1346, -4312, -7280?\nAnswer: -10250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1015819?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**2 + 5*k + 10. Let v = 15 + -14. Suppose 0 = -g + 3*m - v, 3*m - 4*m - 30 = 4*g. Let x be b(g). Calculate the greatest common divisor of 6 and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + 5*l + 108, l + 173 = 4*b + 12. Let h = b + -37. Let f be (3 + (-22)\/6)\/(h\/(-18)). Solve -19 = f*v - 5*u, v - 2*u + 4 = -4 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 214 and 1.\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1556562 micrograms in tonnes?\nAnswer: 0.0000000000001556562","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 161 <= 118?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -590278, -590212, -590146, -590080, -590014, -589948?\nAnswer: -589882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (-113 - -97) + -81\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 25602.000015765 + -25602. What is i rounded to 6 dps?\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 234 by 2679.\nAnswer: 78\/893","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 36 and 6384.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1608 or -1604?\nAnswer: -1608","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(-11)\/33*1\/5?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1212221001212 + -22210?\nAnswer: 1212220202002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2\/11, -0.02, 43331\/5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21165 = -8*u - b, -u - 15*b = -12*b - 2660. Is u a multiple of 102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3531 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c - 3. Let i be r(3). Suppose -2*y + i + 8 = 0. Suppose -3*p + 4*m = -p - 96, -p = y*m - 42. Is 20 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.2 or 197?\nAnswer: 197","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-3)\/7 - (7 + 264\/(-28)*1373)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**3 + 15*o**2 + 6*o - 446. Determine g(13).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((2 + -2 + sqrt(637) + sqrt(637) + 4)**2 - (1 + -1 + sqrt(637) + 0)).\nAnswer: 105*sqrt(13) + 2562","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/18*(-16494)\/104. Let r = -251\/13 - g. Calculate the common denominator of -46\/3 and r.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -567, -2301, -5203, -9279, -14535, -20977?\n\"Answer: -f**3 - 578*f**2 + 7*f + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38170?\nAnswer: 2, 5, 11, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + 26\/30)\/(1750\/1250) - (-15100)\/(-210)?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 not equal to -41?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 28*l**2 + 92*l**4 + 81*l**4 - 124*l**4 wrt l.\nAnswer: 1176*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 913.\nAnswer: 11, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z + 2*s + 80 + 150, -127 = 2*z - 3*s. Suppose -2*j - 72 - 48 = 0. Are z and j unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-76)\/2 - (649 - 689). What is m in 4\/7*m**4 - 4*m**3 + 16\/7 + 60\/7*m**c - 52\/7*m = 0?\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17 - -26. Let x be -1 + -2 + 54\/a. Let m(k) = -3*k + x*k - 2*k**2 - 1 + k**2. Let r(j) = -2*j**3 + 3*j**2 + 3. Give 3*m(z) + r(z).\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 194349*h**6 + h**3 + 174070*h**2 wrt h?\nAnswer: 23321880*h**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 325?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**2 + y + 16. Let b be a(0). Let q = 9 + 103. Calculate the greatest common factor of b and q.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 4350350?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d. Let u be s(-4). Suppose -5*r + u*n + 16 = 0, -n = 5*r - 4*r - 5. Suppose -r*k + 25 = k. Solve 3*l = -k - 4 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -4, -6, 0.173, -3\/55?\nAnswer: -3\/55","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 57*h - 14. Let x(l) = -28*l + 7. What is -6*w(n) - 11*x(n)?\nAnswer: -34*n + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the second derivative of -r**5\/20 - r**4\/2 - 4*r**3\/3 - 5*r**2\/2 + 53*r. Calculate o(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j**3 + 3*j**4 - j**3)*(199 - 93 - 110 + 12*j).\nAnswer: 36*j**5 - 12*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 781 less than 61?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the first derivative of -8*j**6\/3 - 11*j**3\/3 + 13. Find the third derivative of r(h) wrt h.\nAnswer: -960*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -3*l**2. Let t(k) = -k**2. Let a(f) = 4*r(f) - 9*t(f). Let c(g) be the second derivative of 0*g**2 + 1 + 17\/6*g**3 - 34*g. What is c(a(m))?\nAnswer: -51*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -133, -265, -397, -529?\nAnswer: -661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2460770, -2460771, -2460772, -2460773?\n\"Answer: -v - 2460769","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 137 + -136.742. Let v = o - 0.23. Is v >= -1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wxhwwxhxhwwx. Give prob of picking 1 h and 2 x.\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 12 + (-6 - (-3 + -3 + 6))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4554 (base 10) to base 3.\nAnswer: -20020200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18.98 + -24.98. Put 0.3, -27, 0.2, f in descending order.\nAnswer: 0.3, 0.2, f, -27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the first derivative of a**4\/2 + 2*a**3\/3 - 3. Let i(s) = s + 1 + 3*s - 3 + 3*s**2 - s**3. Let v be i(4). What is f(v)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -1 (b) 1 (c) -5\/4 (d) 84610\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -x - 15. Let h = x - -16. Suppose -2*b - 2*a = 10, 2*b - 2*a - 10 = -h*b. Solve -p + 2*y = -2*y + 3, b = 4*y for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from rsssr?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -q + 3*g, 3*q - 67 = 4*g - 0*g. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (12\/(-42))\/((-11)\/7)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, t: 1, q: 1, z: 3, y: 1}. Give prob of sequence qy.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -242*a - 58. What is i(-4)?\nAnswer: 910","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -501*r - 2435. Determine i(-5).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**3 - 6*m**2 + 6*m - 1. Let l be q(5). Let f be 1*l - (9 + -7). Let c(y) = 4 - 3*y + y - 6. What is c(f)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k = -3*b - 27, -b + 1693*k = 1688*k - 39 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 265998 a multiple of 167?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**(-1\/6)*n*n*n**4\/n)\/((n*(n*(n\/(n**(-3)*n)*n)\/n)\/n*n)\/n**(-25)))**(1\/38) assuming n is positive.\nAnswer: n**(-143\/228)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7445 + 37529\/5. Let t = 61 - z. Which is the nearest to t? (a) 2 (b) -3 (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + -1.017. Let a = s - -1.917. Round a to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 11\/22*(1349 - 1). Let x = -480 + c. List the prime factors of x.\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*m - 37*m = 38*m - 4018 for m.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -248.4344 - -0.5344. Let f = w + 248. Which is the second biggest value? (a) f (b) -23 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -232*h**3*y - 2425*h**2*y wrt h?\nAnswer: -1392*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 3754*j - 123879. Let k be f(33). Determine r, given that 0*r**k + 0 - 2*r**4 - 1\/2*r + 3\/2*r**2 = 0.\nAnswer: -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 1 = -15. Let r = -2 - s. Let o(m) = m**2 + 5*m - 5. Let w be o(-6). Calculate the highest common divisor of r and w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 - (1 - 3)) + 3. Suppose -o + 2*b + 105 = -4, -o + j*b + 97 = 0. Calculate the remainder when o is divided by 30.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7489 is divided by 1946?\nAnswer: 1651","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from wllllllllllllllllll?\nAnswer: 17\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9.24 - -10.5. Let c = -0.41 - i. What is c rounded to 0 decimal places?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:29 PM and 12:17 AM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 596 + -111. Let r = -483 + u. Solve r*m = 4*y - 14, 0 = -3*y + 4*m + m + 14 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2665 - 1880. Let b = u + 926. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 - -18. Suppose -11 = -x*k + 11*k. Let b = 12 + k. Solve -a = -b - 2 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 2 + (-13 + 17 - -1).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand m**4 + 1 - 1 + (45*m + 28*m - 5*m)*(1 - 1 + m**3) + 5*m - 5*m + m**4.\nAnswer: 70*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -13, -150, -1, -2, -1\/2, 2\/19?\nAnswer: -150","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*s - 70 = 3*s. What is the remainder when 125 is divided by s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 34*t + 214 = 301. Let f(q) be the third derivative of 0 + 0*q + 10*q**2 + 0*q**t + 1\/8*q**4. Let g(d) = 22*d. Give g(f(j)).\nAnswer: 66*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 173*h + 55. What are the prime factors of o(2)?\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:03 AM and 12:59 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1860*h = 1811*h - 3738*h + 1273 for h.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (-5 - (-5 + 6)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the first derivative of q**2 + 7 + 31\/3*q**3 + 0*q. Find the second derivative of h(n) wrt n.\nAnswer: 62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14532.\nAnswer: 2, 3, 7, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:52 PM and 4:14 PM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(30)\/(sqrt(20)\/sqrt(2)).\nAnswer: -4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 373 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in seventy-three quarters of a millennium?\nAnswer: 18250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 2*x**3 - 19*x**2 - 9*x - 3. Calculate the remainder when (-660)\/(-21) - (-4)\/7 is divided by d(10).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4502 is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -74*m + 30. Let r be y(4). Let j = 376 + r. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 410*u**3 - 6*u**2 - 12*u - 1461. Let c(h) = -410*h**3 + 8*h**2 + 16*h + 1459. Let g(m) = -3*c(m) - 4*l(m). Find the first derivative of g(i) wrt i.\nAnswer: -1230*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 38.3997km to meters.\nAnswer: 38399.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -3 + -2 - (7 - (18 + 12))\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 525660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, -4, 0.053?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**2 - 1. Give y(-7).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.94 - 1.44. Which is the biggest value? (a) 1 (b) -31 (c) 4 (d) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t, 1 w, and 1 p when four letters picked without replacement from {a: 1, p: 2, t: 2, w: 11}.\nAnswer: 11\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*w + q + 39 - 18 = 0, 4*w - 33 = -5*q. Determine z so that -8\/3*z**4 - 128\/3*z + 20*z**w + 4*z**3 + 16 = 0.\nAnswer: -3, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -29411*d*t**2 - 312000*t**2 with respect to d.\nAnswer: -29411*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.1 (b) 4 (c) -3\/28 (d) -0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 379300 is divided by 53867.\nAnswer: 2231","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1603805198?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t. Suppose -5073 = -2*a - 471. Let o(h) = a + 75*h - 2301. What is z(o(w))?\nAnswer: 75*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18313465.\nAnswer: 5, 761, 4813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 14) in base 16?\nAnswer: -e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*c**3 - 3 + 62*c**3 - 29*c**3 + 3.\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1275980620849837089658*b**4\/21 - 10207844077480248957092*b**3\/21 + 2371515791824120*b**2\/7 - 1652872112*b\/21 + 128\/21 = 0. Calculate b.\nAnswer: -8, 2\/8608709","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -18*v**2 + 4. Let x be a(4). Let d = x - -415. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-4) + (-13)\/(-4) - (-3 - 6).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2748555021 and 0?\nAnswer: 2748555021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (118*n + 282*n + 82*n + (1 + 3 - 2)*(2*n + n - n) + 3 - 2*n - 3 - 3*n + 0*n + 4*n)*(2*n**2 - n**2 + n - 3*n**2).\nAnswer: -970*n**3 + 485*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2, 442, -4 in increasing order.\nAnswer: -4, 2, 4, 442","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.8197 + -0.03.\nAnswer: 0.7897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -17332642*p**4 + 7*p**3 - 2*p**2 - 131778*p + 86.\nAnswer: -415983408*p + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -8*l + 234. What is h(26)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -6*k - 4. Suppose -v = -0*v - 11. Let p(l) = -17*l - 11. Let t(j) = v*a(j) - 4*p(j). Let r = -21 - -16. What is t(r)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**2 - 10*n - 9. Let q be i(-9). Let x be 8\/(-2)*5\/(-20). Sort q, 5, x in decreasing order.\nAnswer: 5, x, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.3 from 0.00560177.\nAnswer: 0.30560177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 6*o + 15. Suppose 2*l - 32 = -3*f, -50 = -o*l - 0*f - 5*f. What is the remainder when 27 is divided by l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -81.6 + 71. Let q = 7 + c. Let p = -3.708 - q. Round p to 2 dps.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 7.952449 hours?\nAnswer: 28628816.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j + 5*h, 42*h = 4*j + 45*h + 11. Put 5, j, 1, -3 in descending order.\nAnswer: 5, 1, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 2 + 0)*(2*s + 4*s - 3*s) - 70*s + 154*s - 82*s + 117 in the form h + z*s and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(12\/(-9)) + -12. Let u be ((-16)\/5)\/(6\/k). Suppose -16*h - 4*h**3 - 1\/2*h**4 - 12*h**2 - u = 0. Calculate h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2988722*u + 4619291.\nAnswer: 2988722","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**2 - 6. Let b be u(-6). Let y be (170\/(-136))\/((-2)\/40). Suppose b*g = y*g + 35. Does 7 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -77 - -75. Is -135 less than or equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18 - -24. Suppose -8 = -q - 3*q + 5*y, 8 = 4*q + 5*y. Suppose -p = 1 - q. What is the closest to -0.1 in 3, j, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 5*i + 135. Let g be o(-22). Let z be -5 + 12 - (-6 + g). Let v(k) = k**2 - k. Let x(c) = -18*c**2 + 12*c. Determine z*v(b) - x(b).\nAnswer: 6*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 3*p**2 - 2*p - 1. Let q(r) = -21 + 19 + 2*r**2 + 2*r - r. Let y be q(-2). Suppose y*b = -3*t + 13, 0 = 2*t + 4*b - 9 - 1. What is u(t)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2.657 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1546404257 a multiple of 825?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 12\/(-21) - (-14912)\/28. Suppose 9*j - 98 - l = 0. List the prime factors of j.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 14 = -5*u, n - 41 = -4*n + 4*u. Let c be (-4)\/(-18) + 3463\/n. Suppose 250 = -0*x + 2*x + 4*t, -4*t = -3*x + c. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 428\/9*l**3 - 2\/9*l**5 + 418\/3*l + 0*l**4 - 1264\/9*l**2 - 416\/9 = 0. Calculate l.\nAnswer: -16, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 5, -8, -2\/9, 10, 2\/67, -1 in increasing order.\nAnswer: -8, -3, -1, -2\/9, 2\/67, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence emeh when four letters picked without replacement from ehehhehmeheeehhm.\nAnswer: 7\/520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, o: 1, c: 1, r: 1, f: 1, v: 6}. What is prob of sequence bvo?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -108*q - 10. Let r(s) = -325*s - 27. Give 8*n(c) - 3*r(c).\nAnswer: 111*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -171.5 and 710.\nAnswer: -121765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 2*a - 7. Suppose 5*i - 2*q + 30 = 188, -20 = 5*q. Suppose -m - 5*m = i. Give y(m).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:40 AM and 9:36 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 247 = -36*f. Suppose -12*w + 50 = 5*i - f*w, -2*w = 4*i - 48. Solve 4*v = -5*m + 6*v + 31, 0 = -4*m - 2*v + i for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-8)*(1 - (-92)\/(-60)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + -3. Let v be 3*(-28)\/(-30) + t. Let m = -4.3 + 4. Which is the closest to 1\/5? (a) v (b) -1 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.1 + 4953641?\nAnswer: 4953639.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -3*h**3 - 12*h**2 - 19*h + 349. What is d(8)?\nAnswer: -2107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -241275842.7798 - -10\nAnswer: -241275832.7798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the second derivative of f**5\/240 - f**4\/24 + f**3\/8 - 45*f**2\/2 - f - 40. Let v(u) be the first derivative of g(u). Let v(p) = 0. What is p?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -170*(-4)\/18 - 8\/(-36). Let s = -35 + l. Suppose -2*v - s*y + 55 = -103, -4*y = 3*v - 236. Is v a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 60?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = -13*s - 18 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -89.9 + 25.9. Let h = -62 - a. What is the third smallest value in -1, h, 1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56331*o + 995 - 343 = -56384*o - 620 for o.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -80*i**2 + 22628*i + 3560. Calculate l(283).\nAnswer: 164","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -96201 + 0.039333.\nAnswer: -96200.960667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4054701 in 0.1, 5, 8?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -636 in -0.008, 12, 0.4, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-243)\/(-8100)*8*(-1)\/1.\nAnswer: -6\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 765 and 4250313?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 8 = 3*r. Differentiate -19*u + 14*u + 1 + r wrt u.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 53 - ((-6)\/5)\/((-4)\/10).\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 r when two letters picked without replacement from pppruplpu?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 (base 3) in base 5?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(396)*-3 + -3 - sqrt(396) - (sqrt(396) - ((sqrt(396) - 1*sqrt(396)) + 5)**2 - sqrt(396))).\nAnswer: -24*sqrt(11) + 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p + 4650 = -32*p. Let h = 15 - p. Does 23 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3911*t - 1772*t - 62513 = 0 for t.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*((-85)\/100 - 18\/(-30))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18449486?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 - -2)\/(3*2\/(-60)). Let c(d) = -d**3 - 12*d**2 - 22*d - 9. Calculate the remainder when 164 is divided by c(n).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, 74.38, 209, -2\/9 in descending order.\nAnswer: 209, 74.38, 2\/7, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2083754595.\nAnswer: 3, 5, 13, 10685921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - 0*u - 15. Let m(c) = -2*c**2 - c + 1. Let g(z) = 73 + 76 + 66 + 72 - 286. Determine u*g(h) - m(h).\nAnswer: 2*h**2 + h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -5*w + 6. Let x(q) = -q + 20. Let h be x(18). Let d(o) = o - 3. Let a(p) = h*d(p) + k(p). Let t be 2 + -2 - (-1 + 0). Determine a(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*v**4 + 436*v**3 + 62220*v**2 - 10201700*v + 358649000.\nAnswer: -4*(v - 85)**3*(v + 146)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -2*o**3 - 2*o**2 + 2*o. Let c(d) = -23*d**3 - 3*d**2 - 25*d**3 - 25*d**3 + 2*d + 70*d**3. Give 3*c(a) - 4*f(a).\nAnswer: -a**3 - a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 291*c - 296*c + 7*x - 4 = 0, 4*x - 3 = 3*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**3 + 2*i**2 + 3*i - 4. Determine h(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i**(-1\/2))**25\/(i\/(i*i**0))**(-36))**(-3\/32))**(-2\/37) assuming i is positive.\nAnswer: i**(75\/1184)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 408954598 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 374 is divided by 55.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.4 + -0.1. Put m, 218, -2 in decreasing order.\nAnswer: 218, m, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -42, -28, -14, 6, 38, 88, 162, 266?\nAnswer: 406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82912094 is divided by 869?\nAnswer: 804","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -682.4*0.04.\nAnswer: -27.296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*i - 5*i - 3*i + 4*i - 3*i + i + (2*i - i - 2*i)*(-2 + 3 + 0))*(91 - 121 - 55) to the form k + z*i and give z.\nAnswer: 425","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 + 28 = 9*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 59853, 119619, 179369, 239103, 298821, 358523?\n\"Answer: -8*i**2 + 59790*i + 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 - 13?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/814 and 113\/2442?\nAnswer: 2442","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the first derivative of -125*x**3\/3 - 105*x**2\/2 + 2*x - 186. Find the second derivative of r(h) wrt h.\nAnswer: -250","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*y + 45*y = -344. Suppose -27*w = -25*w - y. Calculate the remainder when w is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2955, -1, -2 in ascending order.\nAnswer: -2955, -2, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1 and 9 + (0 - 4)*1.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 176 + 87 = -15*m + 38 for m.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5414 + -5412. Solve 10 = s - p*i + 18, 4*s + 23 = 5*i for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8 - (2 - 0) - 1. Let v = z + -6. List the prime factors of 0 + 1 + v + 12.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - 4*k = 18, -31*i - 39 = -39*i + 3*k for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:19 AM and 9:04 PM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 9 = -3*i, 0*h = -3*i - 4*h + 6. Let x = 5\/13 - 42\/143. Which is the third biggest value? (a) x (b) i (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 n, and 2 q when four letters picked without replacement from qnnqa?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the second derivative of -3*c**5\/20 - c**4\/2 - c**3\/2 + 2*c. Determine b, given that d(b) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 99 + 45 - 162 - 330*h as q + x*h and give x.\nAnswer: -330","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 558510769 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3*3 + 1 - 1. Let f = -74 + 76. Suppose 3*z + 14 = 5*v - v, 3*z + 2 = -f*v. Solve -v*o + c = o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 498800 is divided by 20684.\nAnswer: 2384","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 15358458 - -54?\nAnswer: 15358523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 487139?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3249 is divided by 3224.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 400, 0.3, 153.1, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = z - 132. Is z a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4400.11518046 - 1.8\nAnswer: 4398.31518046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 41*(-2)\/3 - (-8)\/(-12). What is the tens digit of (-20152)\/o + 6\/21 - -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/6)\/((-14)\/(-126)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 4*j + 114. Let h be ((-1635)\/(-436))\/((-2)\/(16\/(-1))). What is the tens digit of d(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -6. Suppose 4*k = 5*r + 5, 0 = -4*r - 55*k + 59*k. Let m(j) = j + 7. Determine r*n(u) - 4*m(u).\nAnswer: -4*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 7968033793 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the second derivative of -m**3\/6 - 7*m**2 + 39*m. Calculate h(-10).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 17*l**2. Let f be 3\/(-12) + (-27)\/(-12). Let d(w) = 12*w**2 - 10*w**2 + f*w**2. Determine d(y(v)).\nAnswer: 1156*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is (2 - -1)*221\/3 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2\/15))**(-34)*(u**5)**(1\/4) assuming u is positive.\nAnswer: u**(347\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-7 - -19)\/(-6)*(0 + -1). Let g(o) = 0 + 334*o**t - 354*o**2 + 0. Let q(m) = 5*m**2. What is q(g(v))?\nAnswer: 2000*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -3*f - 29. Let n be q(-11). Suppose -2*b + 2*z = 3*b - 25643, n*b - 20517 = -z. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -5 and 62.\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 166105 and 556?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 2474 = -3*q, 1492 = 5*a + 4*q - 1647. What is the remainder when 1246 is divided by a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - c = 0. Suppose c*z = -z. Solve p + z*p = 5 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**3 - n**2 - n + 491. Suppose 2*i = -2*i. Let u be a(i). Suppose 4*q - q + 15 = 0, 4*j - 3*q = u. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -507320 divided by -3.\nAnswer: 507320\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 517166395 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -5*i - 106, -3*s = -2*s - 2*i - 109. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 617 - 622. Suppose -4*d + 2 = -6*d. Let k(x) = -x. Let g(t) = 7*t - 1. Give d*g(f) + r*k(f).\nAnswer: -2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-12)\/(-8) - 2)*(41 + -5). What is the thousands digit of -9*2\/q*3 - -1187?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13161343259 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 31 times 1935980\nAnswer: 60015380","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the third derivative of -q**9\/12096 - q**8\/4032 - 11*q**5\/60 - 3*q**2. Let o(z) be the third derivative of g(z). Find i such that o(i) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 21*o**2 + 498*o - 144 = 0. Calculate o.\nAnswer: -24, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.10556, -23\/17, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -0*b. Let y = -9 - -12. Let s be (0 + y + -2)*1. Solve 5*k = 3*a + 5, 5*k + 3*a + s - 6 = b for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 5*r**2 + 5*r + 5. Let n(g) = -5*g**2 + 3*g**2 + 3*g**2. Let u(k) = a(k) - 4*n(k). Let j(s) = s**2 + 3*s + 3. What is 5*j(o) - 3*u(o)?\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6621039634 rounded to 5 decimal places?\nAnswer: 0.6621","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*u + 5*u + 3*u)*(-4*u + 11*u**3 - 23*u + 185*u - 77*u).\nAnswer: 44*u**4 + 324*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14638 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 258 + 13*s - 529 + 270.\nAnswer: 13*s - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6.487 - -104.\nAnswer: 110.487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f - 13. Let q be a(-12). Let j = 0 - 0. Let s = 10.3 - 10.2. What is the nearest to q in j, s, 1\/7?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 912 + -911.9. Which is the nearest to j? (a) -32\/5 (b) 4 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 21 + (3 - 1) + -2. Let s(c) = -10*c + y*c - 8*c. Let d(l) = -2*l**2. Give s(d(b)).\nAnswer: -6*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n - n - 2*n**3)*(9522 - 9522 + 575*n - 144*n + 161*n).\nAnswer: -1184*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 14198159 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -45*i + 910. What is the remainder when 707 is divided by x(20)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*u**2 + 2*u**3 - 11 + 3*u + 11)*(-169*u - 795*u + 236*u) in the form b*u**2 + y*u**4 + t*u**3 + j*u + g and give y.\nAnswer: -1456","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 484 + -484.023. Let r = 1.826 + -0.763. Let s = r - 0.063. Which is greater: g or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 128*o + 16 = 136*o. Let b be ((-2)\/4)\/((-9)\/72). Let g be (2 + 6 - 4) + 8. Solve -5*z = -2*c - g, o*z = 2*c + c - b for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - o)*(-4*o + o + 5*o) + (0*o - 4*o - 6*o)*(21*o + 41*o - 24*o).\nAnswer: -382*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 972*n = 1053*n - 22092507. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 36, -45, -126?\n\"Answer: -81*f + 117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (73 - 2) + (7506\/(-4170))\/((-9)\/5 + 2)\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14929 = j - 3*d, 59776 = 4*j + 7*d - 4*d. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.03 - 27763548.\nAnswer: -27763547.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-162)\/2754*68\/(-348).\nAnswer: 1\/87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 13 + 24300464?\nAnswer: 24300510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -85573.999922142 - -85574. What is k rounded to 6 dps?\nAnswer: 0.000078","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -2 + (14 - (-2 - 5 - -21))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (21 - 2) - ((-226 - 11) + 336)\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 7*l**3 - 3*l**2 + 12*l + 2. Let f(i) = -14*i**3 + 6*i**2 - 27*i - 5. Determine 2*f(k) + 5*w(k).\nAnswer: 7*k**3 - 3*k**2 + 6*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (198\/(-12))\/11*4\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2323*o**2 - 99940234 + 99940234)*((1 + 4 - 3)*(-2 + 0 + 0) - 2 + 1 - 2) to the form b*o**2 + x + u*o and give b.\nAnswer: 16261","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.6 - -5.6. Let u = 941 - 3763\/4. What is the nearest to -0.2 in -2\/5, u, w?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -6 - (8\/(-6) + (-247)\/(-57)). Let i(b) = -34*b + b**2 + 4 - 10 + 44*b. Calculate i(p).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 518118?\nAnswer: 2, 3, 86353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19627 by 1.\nAnswer: -19627","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -50*b - 20*b - 5225 + 69625. What is the smallest common multiple of 240 and b?\nAnswer: 5520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:20 PM and 8:13 PM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = g + 40. Let t(p) = p + 2. Let u be t(3). Suppose 0 = -3*i + u*f + g, -5*i + 10 = 5*f - 20. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*q - 13*q = 234. Suppose 5*u + 37*s - 8 = q*s, 1 = -2*u + 5*s. Solve 4*b - 9 = -3*l, 0*l - b = -u*l - 5 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(5\/2)*u**10 assuming u is positive.\nAnswer: u**(25\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**2\/3 - 160476*p - 9657204966.\nAnswer: -2*(p + 120357)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -63004 - -102863. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 5620 bigger than 5620?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**2 + r. Calculate z(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 + -2. Suppose -3*j = -d*j - 6. Suppose f = -3*f + 8. Solve f*y = -2*v + j, -3*v - 3 = y + 2*v for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 801 divide 123753980?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*u + u + 0*u)*(-585 + 0*u**2 + 175 + u**2).\nAnswer: 8*u**3 - 3280*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -79*j + 2197. What is x(29)?\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 3*m = -2599. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*y - 483 = -219. Which is the closest to -1068? (a) y (b) 1 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 397554322?\nAnswer: 2, 11, 3079, 5869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**3 - 14*j**2 + j. Let h be i(14). Let n = h - 14. Suppose 5*b - 1547 + 442 = n. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12101001002110 (base 3) in base 7?\nAnswer: -33160056","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-58)\/18 + 8\/36 + 0. Let x(l) = 12*l + 40. Let a be x(k). Suppose -31 - 19 = -5*b. Solve 5*s + b = 5*q, -1 - 31 = 4*q + a*s for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.209695117 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 690463 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6439.\nAnswer: 47, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 231732 to the nearest integer?\nAnswer: 481","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**8\/v)**(-50))**16 assuming v is positive.\nAnswer: v**(-5600)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**0\/m)**(3\/23))**(3\/7) assuming m is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -5*m + 8 + 4*m - m**2 + 3*m - 3. Let z be h(4). Put -4, z, 5 in descending order.\nAnswer: 5, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12 + 13. Let z be (-4)\/10 - 11\/10. Sort 1\/2, l, z in ascending order.\nAnswer: z, 1\/2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -12\/13, 0.2, -3, -89, 25.\nAnswer: -89, -4, -3, -12\/13, 0.2, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11316.01000158 + 11317.14. Let x = 14.8 + -15.93. Let f = y + x. Round f to seven dps.\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63336 is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 143737702 is divided by 3742.\nAnswer: 3740","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2763246.\nAnswer: 2, 3, 19, 24239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 960196597 and 1919.\nAnswer: 1919","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 138 + -133. What is the remainder when 42 is divided by a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h + 2*o - 227786, -3*o = 4*h - 8*h + 455558. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**2 + 10*m - 11. Let w be s(-11). Suppose -33*l + 31*l - 42 = w. What is the common denominator of -5\/8 and (77\/l)\/(16\/(-42))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -29, 17, 151, 415, 851, 1501, 2407?\n\"Answer: 7*x**3 + 2*x**2 - 9*x - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13262 + 13262.005381. Round t to three decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96369341 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(1539) + 0 + (sqrt(1539) - sqrt(1539)*-1) + sqrt(1539) + 4)**2*-6.\nAnswer: -147798 - 1296*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23545, -47031, -70517?\nAnswer: -94003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-4)*-10*(-4)\/(-5). Suppose x*t = t + z + 7, 3*z = t + 11. Calculate the lowest common multiple of t and 3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -2*c - 123. Let o(b) = b - 1. Give 3*o(d) + t(d).\nAnswer: d - 126","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 460332*d**2*v**4 - 2*d**2*v**3 - 5235*d**2*v**2 - 114*d*v**2 wrt v.\nAnswer: 11047968*d**2*v - 12*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = -4*i - 3*c, -2*i - 23 - 25 = -5*c. Let x = i + -1. Let v = -27 - x. Which is greater: v or -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*o = -11*o - 19*o + 162 for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1455)\/25 - 5)*(0 - (8 + -3)). Solve v = -t + 315 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68232342?\nAnswer: 2, 3, 251, 45307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -462*v**4 - 353669*v**3 + 940435561*v**2 wrt v.\nAnswer: -11088*v - 2122014","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/((-126)\/56))\/((-6)\/(-45))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/1224 and 37\/105434.\nAnswer: 3795624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -900*v**2 - 11377860*v - 35959916161 = 0. Calculate v.\nAnswer: -189631\/30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-5809)\/(-18) + 5\/((-225)\/10). Let t = -308 + c. Let g = 587\/42 - -200\/21. Calculate the common denominator of g and t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -139836, -279924, -420242, -560790, -701568?\n\"Answer: -115*p**2 - 139743*p + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -5*g + 216. Let i = -172 + 176. Calculate the least common multiple of j(0) and i.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the first derivative of h**5\/60 - h**3\/3 - 5. Let j(b) be the third derivative of f(b). Let s(v) = -v + 1 - 1. Calculate s(j(d)).\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -71 - 483*196\/2254\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 25519200 and 5952.\nAnswer: 2976","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 660 is divided by 91.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add together -262 and -214.4.\nAnswer: -476.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 878*n**2*v + 56*n*v**2 + 2*v**2 - 1759428*v wrt n.\nAnswer: 1756*n*v + 56*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**2 + 4*r + 1. Let s be l(5). Suppose 4*g = 4*h + 12, -2*h + 36 = -g + 40. Sort s, -6, h in decreasing order.\nAnswer: h, s, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.616509 decades to months.\nAnswer: 913.98108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -76, -143, -216, -295, -380?\nAnswer: -471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -k + 7, -3*k = -4*g + 23. Solve 0*z - 2*z + 2*c + g = 0, z - 3*c - 4 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of n**4 + 2*n**4 + 0*n**4 + 3*n wrt n?\nAnswer: 36*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the second derivative of h**3\/2 + 2*h. Let m(k) be the first derivative of -23\/3*k**3 + 0*k + 61 + 0*k**2. Calculate m(z(w)).\nAnswer: -207*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - -1. Sort 1, -4, -1, f.\nAnswer: -4, -1, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 160334058 less than -0.7?\nAnswer: -160334058.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3596 divided by -4.\nAnswer: -899","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.4719 + -0.4208. What is the nearest to f in 11, 0, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(2)*-3 - sqrt(6)\/sqrt(3)*5.\nAnswer: -8*sqrt(2) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**0)**(-34))**(3\/29)\/(w**(-6)\/(w\/w**(-2))*(((w*w\/w**(-2))\/w)\/w*w)\/w**5) assuming w is positive.\nAnswer: w**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*w**2 + 83*w**3 - 5*w**2.\nAnswer: 83*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 151 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -265 - -265. What is the hundreds digit of (m - (-955 + 2))*(-17 + 18)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5832 and 124335.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 895203.\nAnswer: 3, 17, 5851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i. Let r(j) = -3*j + 7 + 3 - 6. Let s(k) = -4*b(k) + r(k). Suppose -5*y + 2*y = 15. Determine s(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -4, -7915 in decreasing order.\nAnswer: 4, -4, -7915","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-64)\/(-20)*5)\/((-3)\/(-6)). Solve 0 = 23*g + c - 101 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i - 12, 4*i - 124 = 13*t - 18*t. Calculate the highest common divisor of t and 1652.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -195 (base 16) in base 2?\nAnswer: -110010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.135 - -126.865. Let u = 124 - x. Sort u, 7, 1\/2, -0.1 in descending order.\nAnswer: 7, 1\/2, -0.1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5.0961998 and 1?\nAnswer: 5.0961998","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m = -2*i - 22, -2*m = -1540*i + 1559*i - 111 for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21648 = -431*n - 21144 + 13484 for n.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q + 3*q + 4. Let i be (-26)\/6 - 4\/6. Which is the nearest to -1? (a) -1\/8 (b) q (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u**3 - 3386*u**2 + 668180*u + 7022400 = 0. What is u?\nAnswer: -10, 240, 1463","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14169 divided by 3.\nAnswer: 4723","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111000111111000011 + 1?\nAnswer: -111000111111000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 - 3)*((-3)\/3)\/(-2). Let f = 2 + w. Which is the nearest to 0.1? (a) -0.5 (b) 1 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16 - 11. Let b(m) be the first derivative of m**4\/4 - 2*m**3 + 3*m**2 - 2*m - 13. Let c be b(x). Solve 3*v = -c*y + 12, -3 = 3*v + 2*y - 13 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, q: 1, n: 2, y: 2, j: 2}. What is prob of sequence yqy?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -135 + 267 = 381*f + 1275 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 455735?\nAnswer: 5, 7, 29, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10262 + -7165. Is 4 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 4010*l**2 + 408*l - 409. What is the tens digit of k(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 75 by 43414.\nAnswer: 75\/43414","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13 (base 5) to base 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -31 - -35. Suppose n = -2*g + 9, 5*g + 6*n = o*n + 24. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1\/6)*d**(-1\/4))\/(d**(-2\/3)\/d**2) assuming d is positive.\nAnswer: d**(9\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*f**2 + 59*f**2 + 63*f**2 + 55*f**2 + 128*f**2 - 293*f**2.\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*c**3 - 4*c**3 - 2*c**3 + (-3*c + 2*c + 3*c)*(-c**2 - 2 + 2) - 17 - 2*c**3 - 473*c**2 + 569*c**2 - 160*c**2.\nAnswer: -5*c**3 - 64*c**2 - 17","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 167a (base 13) to base 5.\nAnswer: 101222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21460678?\nAnswer: 2, 10730339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**3\/8 + 33*i**2\/8 - 27*i\/4.\nAnswer: -3*i*(i - 9)*(i - 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 7*m - 10. Let w be 1 - 2\/10 - 68\/85. Suppose 24*p + 18*p + 378 = w. Let a(d) = -3*d + 5. Determine p*a(y) - 4*f(y).\nAnswer: -y - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 720 and 7681032.\nAnswer: 76810320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(336)\/(sqrt(80)\/sqrt(10)))\/sqrt(6).\nAnswer: sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, 251, 6, -2.\nAnswer: -2, 1, 3, 6, 251","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 384 - 785 + q + 0*q + 401.\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/4)\/(-120*(-55)\/149600)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -20*s - 9. Let b(i) = 2*i + 4. Let q be b(6). Let j = q + -21. What is the tens digit of n(j)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 51 and 187?\nAnswer: 561","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 437?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**3 + 3*w**2 + 12*w - 7. Let g be m(5). Factor 2*s**2 - 13*s**3 - 8 - 13*s + 2 - 10*s**2 + 12*s**g.\nAnswer: -(s + 1)**2*(s + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 78450 and 1146?\nAnswer: 14983950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-10))\/(993\/18867)\nAnswer: 19\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 6*b - 5*b. Let a be (-13 + 12)\/(-2 - b). Suppose -2*u = u + 2*z - a, -2 = u + 3*z. Solve 7 = -3*o + u for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30687 is divided by 165?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 423?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1)*x)**(2\/95)\/((x*x**(-2\/3)*x)\/(x*(x**(1\/2)*x*x)\/x)) assuming x is positive.\nAnswer: x**(7\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1110.\nAnswer: 2, 3, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 32823 * -0.0266.\nAnswer: -873.0918","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 47 + -21. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14 + 21. Suppose -2*v - 175 = -a*v. Calculate the highest common factor of v and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 14761*j - 1667996. Determine x(113).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -4262, -7, -0.3, 1\/2, 0, 10\/7?\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 35*k**2 + 15*k - 21. Is d(10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -638*a + 5741. Calculate y(9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -22020110 (base 4) in base 16?\nAnswer: -a214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 - 7018*v + 6788*v + 3 + (0*v - 2*v + 0*v)*((1 - 3 + 0)*(-2 + 2 + 2) - 4 - 3 + 4 + 0 + 3 + 1).\nAnswer: -224*v + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 279944, 279851, 279758, 279665, 279572?\n\"Answer: -93*f + 280037","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-14)*g)**(1\/23) assuming g is positive.\nAnswer: g**(-13\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2634403259.\nAnswer: 2634403259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes after 3:50 AM?\nAnswer: 10:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 696 and 2360064.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4391688*b - 6084744.\nAnswer: 4391688","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-38*g + 7*g - 44*g)*(-1 + 2*g + 1) + (-2*g**2 + 4*g**2 - 3*g**2)*(-2 + 5 - 4) + g**2 - 5*g**2 + g**2 + 2*g**2 + 0*g**2 - g**2 + 3 + 2*g**2 - 3.\nAnswer: -149*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(88)*1*6)\/sqrt(8) - ((sqrt(396) + 0 + sqrt(396) - sqrt(396)) + sqrt(396))*-4)**2.\nAnswer: 32076","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and -11.3.\nAnswer: 11.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n + 4*n - 141. What are the prime factors of n?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 4*f**3 - 3*f**2 - 1. Let z be y(5). Let g = z - 283. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert a815ab (base 12) to base 14.\nAnswer: 4d2307","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 63 - 37. Suppose -2*h = -2*g - 20 - 8, -6 = -h - 3*g. Let a be 380\/h - 6 - 2\/(-6). Do b and a have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -m**5 + 2*m**5 - 2*m**5 + (-3 + 4 + 1)*(m**5 - m**5 - 9*m**5) + (-6*m + m + 3*m)*(-5*m**4 + m**4 + 2*m**4).\nAnswer: -15*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1899 (base 14) in base 9?\nAnswer: -6081","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04 times 2.8?\nAnswer: 0.112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*n = -3*x + 5*n + 16336, 5*x = -4*n + 27231. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y = -681 + 684. Let x(m) = -4*m + 8. What is x(y)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1 and 137279.\nAnswer: 137280","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -1990.655 to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 37457?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 times -10?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 1776*n - 10208. What is i(6)?\nAnswer: 448","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.5 times -6?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 89*g - 25. Let t(x) = x**2 + 4*x - 42. Let v be t(5). Does 22 divide k(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2 and -10 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-22))\/(6\/(-24)*3).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*r + 24*r - 44*r = -22339. Calculate the remainder when r is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-4)*-2)\/((-72)\/(-120)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c - 25. Let s(b) = -13. Let l(o) = -2*f(o) + 5*s(o). Let g be l(8). Let n = 1690 - 1689.9. Sort n, g, 0.07 in increasing order.\nAnswer: 0.07, n, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1340 and 19564?\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3850804\/2047721 - 2\/30563. Sort -5, 1\/4, i.\nAnswer: -5, i, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/15*(5 + 1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 6*r**3 + 13*r**2 + r - 3. Let l(f) = 5*f**3 + 12*f**2 - 2. Let z(i) = -6*h(i) + 7*l(i). Suppose 2 = -3*j + 17. What is z(j)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - r = 4, 5*r + 43 = 3*y. Is 5 a factor of 1\/2*(y - -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8257814854?\nAnswer: 2, 61, 67687007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o = -9*k - 8924 + 8984, 5*k + 18 = 3*o for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v - 6, -19 = 2*l + 3*v - 2*v. Let p = l + 10. Let t(h) = -h. What is t(p)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*x**2 + 0*x**2 - 7*x**2 - x**3 + 2*x**2 to j*x + u*x**3 + k*x**2 + r and give k.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10965 and 33.\nAnswer: 120615","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -16 + 24. Suppose -6*d + c*d = 36. Let l be (d\/(-4))\/(6\/8). Let f(q) = q**2 + 8*q + 8. Give f(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.05 (b) -0.3 (c) -3462\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, h: 2, j: 1, l: 1, d: 2, v: 1}. What is prob of sequence dvhn?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 135 + -135. Solve 0 = -t*g - g + 1 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7231595060 plus 4?\nAnswer: -7231595056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2759 and 124.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + z - 14 = 0, -3*p + 22*z + 12 = 25*z for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 572563943 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(1300) + (sqrt(1300)*-1)**2 + -2 - (sqrt(1300) + sqrt(1300) + 3*(0 + sqrt(1300)) + sqrt(1300))).\nAnswer: -50*sqrt(13) + 1298","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*y**21\/y*y*y**(4\/17) assuming y is positive.\nAnswer: y**(378\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48558 + 48664 - 205*w**2 - 97223.\nAnswer: -205*w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1522 to the power of 1\/2, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 105385014.\nAnswer: 2, 3, 7, 29, 151, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 84*r**3 - 78 - 83 + 161.\nAnswer: 84*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -225*y + 916 + 4259 for y.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -6*r - 10. Let a be f(-2). Solve -2*s + a*i + 10 = 7*i, 0 = -5*s + 2*i + 25 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1302 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3055 is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i + 2*i - 2*i)*(3 - 3 + 1)*(2 - 2*i**2 - 2) - i**3 - i**3 + 0*i**3 + (-i - i**2 + i)*(2 - 2 + 2*i).\nAnswer: -10*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*p**3 + 4*p**2 + 31*p**2 - 35*p**2.\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 590*a = 583*a + 91. Let u be 9\/6*(-8)\/(-6). Suppose 0 = 4*c + 3*s - 1, 5*c + u*s = 4*c - 6. Solve a = 3*n - 4*n - 4*m, c*n + m = -7 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 20 = -26. Let z be 2\/5 + y\/5. Solve -z*x + 0 = 5 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 86707?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13733.\nAnswer: 31, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 971*-8.\nAnswer: -7768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 21. Let a(p) = -5*p - 141. Give -a(y) - 5*u(y).\nAnswer: 5*y + 36","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -67\/5 + 479\/35. Let q = -111.2 + 111. Which is the biggest value? (a) f (b) q (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(2\/15)\/(p**(1\/5)\/p)*(p**0\/p)**(-2\/79) assuming p is positive.\nAnswer: p**(1136\/1185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 5) in base 2?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*c - 14*c + 21 = -h, 4*c + 48 = -3*h for h.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153) + 0 + sqrt(153) + 0 + 1)**2 + (sqrt(153) + 2 + (sqrt(153)*-1 - sqrt(153)) + 0 + sqrt(153)*-2)**2 + 4.\nAnswer: -24*sqrt(17) + 1998","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 331 - -14?\nAnswer: 400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1932275 is divided by 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5381 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in eleven halves of a kilogram?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -77 + (-5 - (-3 + 1)). Let f = -37 - b. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (-2*sqrt(2736) + sqrt(2736))*-4 - 1*(sqrt(475) - (-2 + (sqrt(475) - (sqrt(475) + 1*sqrt(475) - sqrt(475))))))**2*1.\nAnswer: 86*sqrt(19) + 35132","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -79831, -159669, -239509, -319351, -399195, -479041, -558889?\n\"Answer: -r**2 - 79835*r + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -40*k + 342. What is the remainder when x(-3) is divided by 120?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-16)\/14)\/(-4))\/(2\/28*-4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -186 in -5, -1, 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -62 + -151?\nAnswer: -1b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -178434563.1 to the nearest one million.\nAnswer: -178000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2*(-1)\/6*3. Let d be (-19275366)\/2 + 2\/z. Let s = d - -18937685. What is s rounded to the nearest one million?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 418 - -828. Let q be w\/10 + (-16)\/(-40). Let b = 178 - q. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13.98 - -0.02. Which is the smallest value? (a) -1\/7 (b) -3\/5 (c) m (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**3 + 15*h**2 - 8*h - 5. Determine k(5).\nAnswer: 205","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -3*c + 25. Let o be u(8). Is 3\/7 greater than or equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 2736?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 41504935?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13882.\nAnswer: 2, 11, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 178\/(-8) + (-1)\/(-4). Suppose 0 = -3*l + 4*b + 292, l - 18 = -3*b + 101. Suppose 4*x = -3*v - l, 5*v = 5*x + 8*v + 127. Which is smaller: i or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 4 = 0, -29 + 1 = 5*x - 4*h. Sort x, 147, -3, 4 in ascending order.\nAnswer: x, -3, 4, 147","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r = m - 0*r - 14, 14 = -3*m + 5*r for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-5)\/k)\/k**(-8)*((k*k**(-2)*k)\/k)\/k*k**(2\/11))\/((k**(1\/5)\/(k\/(k*k*k**(1\/10)\/k*k*k)))\/(k*k**(-2)*k**6\/k)) assuming k is positive.\nAnswer: k**(207\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34851 is divided by 130?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**2\/9 + 16*r\/9 - 14\/9.\nAnswer: -2*(r - 7)*(r - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/3173310 and 119\/664884?\nAnswer: 69812820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the second derivative of -g**6\/360 - g**5\/120 - g**4\/2 - 5*g. Let v(o) be the third derivative of t(o). What is the derivative of v(j) wrt j?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1568 and 1624?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 46 + -39. What are the prime factors of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (15\/25)\/((-1)\/(-5)). Suppose z = n*z. Let w(o) = -2*o + 5. Let j(s) = -3*s + 4. Let t(d) = -3*j(d) + 4*w(d). Calculate t(z).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3710, 29711, 100278, 237689, 464222, 802155?\nAnswer: 1273766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a - 1. Let o(x) = -14*x - 6. Let t(h) = 6*f(h) - o(h). Let w(m) = 3*m - 7. Let v be w(3). Let g(c) = -v*c - 50 - 53 + 103. Calculate g(t(i)).\nAnswer: -16*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*t**2 - 11*t**2 - t**2 + (-t - 2*t + 5*t)*(0*t - 2*t + 4*t))*(3 - 3*t + 2 - 4).\nAnswer: 36*t**3 - 12*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 + 60*h**2 - 7.\nAnswer: 60*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 + -16 - 6) + -41 - (4 + -7 - -7).\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) 5 (b) 4 (c) -4\/7 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 - -1010001010001111100101?\nAnswer: 1010001010001111101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5175625780.\nAnswer: 2, 5, 13, 337, 59069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 249*u + 278 - 278 to the form o*u + k and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3, q: 4, b: 4, r: 5, g: 3}. Give prob of picking 1 g and 2 a.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.5 minus -728?\nAnswer: 721.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 4*d**2 - 3*d + 3. Let p = 8 + -3. Let a(y) = -4 - 4*y + 2*y**2 - y + p*y**2 + 9. Suppose -x + 0 = 6. Determine x*a(u) + 10*z(u).\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c**5 - 168*c**4 + 1356*c**3 + 28158*c**2 + 72369*c + 45738 = 0.\nAnswer: -7, -2, -1, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/19? (a) -4\/9 (b) 1 (c) 0.122\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 12 and -93667.6.\nAnswer: -1124011.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 at least as big as -20683?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -6*h**2. Let w(j) = -1057*j. Determine w(u(q)).\nAnswer: 6342*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 24\/10 - 6\/(-10). Let i(u) = 2*u**p - u**2 - u**2 + 3 + 0*u**3 + 5*u**2 + 3*u. What is i(-2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**3 + t**2 + 3*t - 1. Let z(i) = -101*i**3 - 3*i**2 - 6*i - 16. Give -2*m(n) - z(n).\nAnswer: 103*n**3 + n**2 + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = 4*y - g, -2*y + 4 + 16 = 4*g for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f. Let g = -27 + 31. Let o(i) be the third derivative of 0 + 1\/24*i**g + 0*i**3 + 0*i + 2*i**2. What is o(c(p))?\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5169 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1685415144 to the power of 1\/4, to the nearest integer?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the first derivative of -4*u**4 + u**3\/3 - u + 18. Calculate x(-1).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 110 - (-3 - -205)?\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 64118779?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 97853 and 13979.\nAnswer: 97853","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3.7, -3\/7, -5.9, -1\/2?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 273.5 + 19.8. Let r = 306.0162 - 0.0162. Let v = r - y. What is v rounded to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes before 12:42 PM?\nAnswer: 4:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*y - 2*y + 4*y)*(9 - 6 + 20)*(3*y**3 - 5*y**3 + y**3) to b*y + f*y**3 + q*y**4 + m*y**2 + z and give q.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 2*t - 18, -6*c - 3*t = -3*c - 21. Suppose -c*d + d - 2*v = 19, -3*v = -2*d - 30. Let b = 18 + d. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 174 to the power of 1\/2, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-213)\/(-142) - ((-45)\/(-6))\/3. Let c(u) = -9*u**3 + 18*u. Let b(r) = -r**3 + r. Give q*c(w) + 18*b(w).\nAnswer: -9*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 1 d when three letters picked without replacement from {d: 6, a: 7}.\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 15105091 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 1 (b) 0.03 (c) 5.877\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104*h + 109*h = -15 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, 0.001, 1, 11\/4 in decreasing order.\nAnswer: 21, 11\/4, 1, 0.001","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or 3009743?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -49947, -49207, -48467?\nAnswer: -47727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l + 12*l - 405 = 0. Let r = -216 - l. Let y be r - ((-2)\/10 + 64\/20). Round y to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -136 + 106. What is the tens digit of (140\/k - 3)*-261?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12848175 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 4*u - 14 = d, -4*u = -4*d - 8. What is the second derivative of -3*o**d - o - 3*o + 7*o wrt o?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**2. Let l(r) be the second derivative of -17*r**3\/2 - 13*r**2\/2 - 506*r. Calculate a(l(j)).\nAnswer: 2601*j**2 + 1326*j + 169","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/87366631 or 0?\nAnswer: -2\/87366631","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -6*(-1)\/4*2\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -207, -226, -245?\n\"Answer: -19*l - 188","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 7*f - 32 = 3*f, -f = -2*n + 100. Suppose -35*v - 91 = -n*v. Solve -v*a + 9 = 2 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 177961 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 127 - 127. Suppose 0 = -j - 2*b, -85*j + 82*j - 4*b = q. Are j and 3\/139 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 6 - 4*b**2 + 6*b + 0*b**3 - b**3 + 2*b. Let p be g(-7). Suppose 5*m = 2 - 7, -5*w - 3*m = -p. What are the prime factors of w?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 343 = -5*l + 3*b, -5*l + 2*b = -339. Let z = l - 72. Put z, -3, -1\/2 in decreasing order.\nAnswer: -1\/2, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 90 and 727110?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 561 and 204.\nAnswer: 2244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1177 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 + -3. Let b(v) be the first derivative of -v**5\/20 + v**4\/24 + v**3\/3 - v**2 + 1. Let w(i) be the second derivative of b(i). What is w(l)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.4 (b) 12 (c) 0.19 (d) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:16 AM and 4:17 AM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 303 - 213. Let a be x\/150*(-1 + 67 + -1). What is the highest common factor of a and 351?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 122159 to the power of 1\/3, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2257 + -281. Calculate the highest common factor of m and 38.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-708)\/18)\/((-12)\/99). Let h = y - 321. Suppose -4*c + 6 = -3*v, 0 = -c + 6*c + 3*v - 21. Does h = c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**3 - u**2 + u - 8. Let o(k) = k + 4. Suppose -5*p + 3*p + 2*t = 18, -4*t + 8 = 3*p. Let m be o(p). Calculate h(m).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*c**2 - 2*c**2 - 175734727572*c**3 + 175734727574*c**3.\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1907*b + 11675 + 5845 = -1031*b for b.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*h + 2*r - 585 + 589, 20*r - 32 = -2*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 8) in base 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-14)*i\/(i\/i**(4\/3)*i)*i**3*i\/(i\/i**(1\/20)) assuming i is positive.\nAnswer: i**(-637\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.13 (b) -1\/54 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 4*b + 5 = 0, -5*h + 3*h + b + 5 = 0. Let l(x) = -3*x + 6. Let o be l(h). Let r = 10 - o. Is r a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.19 - 0.17. Let g = -3.98 - d. What is the third smallest value in 1\/6, -0.1, g?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 161*r - 163*r - 138. Let i = -29 - 33. Let u = i - r. Solve -k - 3*b + u = 0, -4*b = -5*k + 4*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54869 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7522, -7510, -7474, -7402, -7282, -7102, -6850, -6514?\nAnswer: -6082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/(-2))\/((-375)\/1650).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 34819 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: Collect the terms in 320*r**3 + 2240*r - 98*r**3 - 4453*r + 2213*r.\nAnswer: 222*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = c - 6. Calculate the common denominator of ((-824)\/20)\/(4 - 0) and c\/(297\/210) + 2.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 140 a factor of 598360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3 + 1)\/(24 - 23). Factor 70*a + 92*a**2 + 22*a**4 - 18*a**n + 93 + 62*a + 12*a**3 - 8*a**4 - 37.\nAnswer: -4*(a - 7)*(a + 1)**2*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 25622 + 2?\nAnswer: 25624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-16)\/(-3))\/(-2)*(5 + -41). Suppose 2715 = 9*n + d. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes before 7:53 PM?\nAnswer: 8:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.578 times -11.429?\nAnswer: 18.034962","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = -104*b + 117*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.8 and -0.0394?\nAnswer: 0.03152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4151707 is divided by 3764.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 4*g**2 + 3*g - 16. Is 9 a factor of a(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1729439 divided by 19.\nAnswer: 1729439\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 250 = -5*k + 3*t, -k - 2*k - 4*t - 179 = 0. Let w = k + 107\/2. What is the closest to 0 in 1, w, -5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 35*c**3 - 8*c**2*o**2 + 21*o**2 with respect to c.\nAnswer: 105*c**2 - 16*c*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 2\/9*p**2 + 16\/9*p + 0 = 0.\nAnswer: -8, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:30 AM and 8:25 PM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q + j + 22078530 - 1813526, 0 = -q + 2*j + 6755008. Suppose -29*u + q = 6*u. What is u rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2545*-2.\nAnswer: 5090","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -80045752 plus 0.26?\nAnswer: -80045751.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3\/(-3) + (-5)\/(-2))\/(1797\/6589). Let c(s) be the first derivative of 0*s - o*s**2 + 15 - 13\/3*s**3. Find the second derivative of c(p) wrt p.\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**1)**(-2\/85) assuming a is positive.\nAnswer: a**(-4\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 1\/5, -10, 1\/6, 27?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 141*n**4 + 146*n**4 - 5*n**3 - 430*n**4 + 2 + 6*n + 144*n**4 - 30*n**3 - 3*n**2 in the form i*n**4 + d*n**2 + u*n + s*n**3 + v and give u.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0573080218 to two dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 457572?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 104\/(-12) + (-10)\/(-6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 3 + 1)*(-q + 2*q - 3*q) + 0 + 0 + q - 188 + 189 + 2*q + 28*q as d + b*q and give b.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-91)\/(-104) - 5\/(-40). Let u be 0*((-3)\/(-6) + 0). Put -4, 4, q, u in decreasing order.\nAnswer: 4, q, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12.97 + -13. Let s = u + -0.07. Put s, 5, -2\/5 in increasing order.\nAnswer: -2\/5, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:15 AM and 9:24 PM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18204\/(-122877))\/((-6)\/2511).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2.1 (b) -15.3 (c) -0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(26*26\/1352)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**0)**(16\/11)\/(f**(-1)*f)**25 assuming f is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 0 - (119 - 118)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/2)\/((-24)\/336).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-275)\/(-1155) + (-2)\/(-6) - 22*15\/660?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 5*x**2 + 6*x + 1. Suppose 0 = -o - 3*o + 4*p - 16, 0 = -3*o - 3*p - 24. Let v = -217 - -222. Let q(k) = 4*k**2 + 5*k + 1. Determine o*q(z) + v*u(z).\nAnswer: z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*f = -3*l + 4*f + 4, -166*f - 10 = -171*f for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17526 + 420757\/24. Find the common denominator of y and 35\/447.\nAnswer: 3576","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(152)*-2 - sqrt(152))*4)\/(sqrt(32)\/(-2*sqrt(4)) - sqrt(8)) + (2*sqrt(2299)*-6 + sqrt(2299)*1*-1 + sqrt(2299))**2.\nAnswer: 8*sqrt(19) + 331056","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 12963380 * 0.6.\nAnswer: 7778028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - 36 = 0, 0 = 5*p - 10*a + 115 + 20 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 200 and 380?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.047 + -1.953. Suppose 4*l = -y + l + 25, 5*l + 19 = 3*y. Which is the nearest to k? (a) 1\/4 (b) y (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (6 + -36)*(-2)\/(-4). Let i be 20\/6*(-3)\/a. Do i and 2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 4) in base 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.79 and 397.698?\nAnswer: -1109.57742","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 121 (b) -4 (c) 1 (d) 2\/31\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2113\/772 + 480\/193. What is the third biggest value in -0.04, 2\/11, r, 7?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(1\/3)\/(l*l*l\/(l\/l**(-1\/5)))*l\/(l\/(l\/(l*l**6*l)))*(l*l*l\/(l*l**5))\/l)**(3\/4))**(3\/5) assuming l is positive.\nAnswer: l**(-561\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**2 + 2*g - 4. Let f be k(2). Let m(v) = -4*v - 2*v + 5*v. Is m(f) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/6 and 103\/501552.\nAnswer: 501552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + 2*z + 776 = 0. Suppose -52*d + 16 = -3416. Calculate the remainder when z is divided by d.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(210)\/(sqrt(30)\/sqrt(3)) - sqrt(21) - (sqrt(63)\/(-1*sqrt(3)) - sqrt(21)))\/(sqrt(700) - 1*-1*sqrt(700)).\nAnswer: sqrt(3)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.08 and -246588?\nAnswer: 246587.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 2 u when three letters picked without replacement from {u: 2, p: 5}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -b**4 + 9*b**3 + b**4 - b**4 - b**2 in the form f*b**2 + o*b**3 + g + t*b + k*b**4 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 = -28*o + 183. Solve 0 = -o*m + 21*m + 26 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 5*i = -b + 17, -4*b + 23 = -5*i. Let w = b - 9. Find n such that 7*n + w*n**2 + 6*n - 22*n = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 23 and 137.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 + 3 = -2*f. Let a be (56\/f + 1)*3. Let p(g) = a*g - g**2 - 59*g. Let t(z) = z**2. What is t(p(q))?\nAnswer: q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68 = 9*r + 8*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:27 PM and 6:30 PM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 311.\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the first derivative of -6220*k**2 + 6417*k - 10021. What is the derivative of i(c) wrt c?\nAnswer: -12440","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 + 2. Suppose 3*i - 3*x = a*i - 8, -9 = -3*i - 2*x. Find the third derivative of -1 - 4*f**5 - 2*f**2 + 2*f**5 + i wrt f.\nAnswer: -120*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2528)\/224*(-1)\/(-1) - -11. Put -27, 3\/8, -3, k, -1\/5 in ascending order.\nAnswer: -27, -3, k, -1\/5, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*b + 205*b - 33*b - 10*b - 6699 = 0 for b.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 324 (base 10) to base 13.\nAnswer: 1bc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**3 + 6*s**2 + 8*s + 2. Give o(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1*-16*6\/36*(-9)\/6\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the third derivative of 4*f**2 + 27\/28*f**4 + 0 - 1\/784*f**8 + 1\/98*f**7 + 4*f + 0*f**3 + 3\/280*f**6 - 9\/28*f**5. Solve y(x) = 0.\nAnswer: -3, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -2*j + 2. Let p be -4*(-165 + -1)*(-5)\/20. Let h = -163 - p. Calculate c(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**3 + 10*n**2 - n - 5. Let m be q(-10). Let r = -4 + 7. Let a = 117 + -115. Solve -f = -a*b + r + 3, m*b - 4*f = 18 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 4703614571?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes before 9:10 AM?\nAnswer: 1:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**2 + 24*x - 106. Let t be v(4). Solve 0 = t*b - b - 5*u, -u = 2*b - 3 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -123*b**6 - 131*b**5 + b**3 - b**2 - 327*b + 95?\nAnswer: -14760*b**3 - 7860*b**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 145831944 by 4.\nAnswer: 36457986","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1518*k + 1516*k = -30. Calculate the remainder when 2 - 1 - (2 - 89) is divided by k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.4 - -1.38. Let w = t + 4.02. Let k = 3 + -3.1. Which is the second smallest value? (a) k (b) w (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 j when two letters picked without replacement from {l: 2, j: 1, m: 4, p: 3}?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17731?\nAnswer: 7, 17, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) 2806680 (c) -1 (d) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 3*i + 10. Let w be c(6). Let g = w - 22. Let j(t) = -t**3 + 9*t**2 - 6*t - 7. What is the remainder when j(g) is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9298632?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r = 4*m + 12, m - 5*r + 1 + 10 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**3 + 9*v**2 + 9*v + 9. Let q = 42 - 32. Let f be r(q). Let k = 2 - f. Solve -k*s + 2*s = -4 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2\/15047 + 556803\/481504. Let g = 103\/9 + 299\/36. Find the common denominator of a and g.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17100 and 287660.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrwc when four letters picked without replacement from uwrcuur.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 13 = 9. Factor -88*o**5 - 32*o**4 + 38*o**3 - 8*o**m + 100*o**5 - 10*o**3.\nAnswer: 4*o**2*(o - 1)**2*(3*o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - -1. Let k = 3 - 2.5. Let h(t) = -t + 1. Let p be h(1). Which is the closest to -1? (a) p (b) k (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10\/3*y - 1\/3*y**2 - 16\/3.\nAnswer: -(y + 2)*(y + 8)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 + 20400000?\nAnswer: 20400003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x*x\/x**(-11))*x)\/(x\/x**9) assuming x is positive.\nAnswer: x**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -59, -123, -157, -161, -135?\n\"Answer: 15*q**2 - 109*q + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, -2\/3, 3\/4, 5058, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 20 = -3*r. Let n = 24 + r. Calculate the lowest common multiple of 22 and n.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/(-21) + (-48)\/(-21). Suppose -s*v + 40 = 2*v. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 402182239 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -5*j**2 + 260*j - 2400 = 0.\nAnswer: 12, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.6*6180.\nAnswer: -3708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-4)\/6)\/(-6 + 550\/90). Let i(o) = 3*o + 6. What is the remainder when i(6) is divided by (-690)\/(-54) - f\/27?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3115 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5495 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/8*24\/4. Suppose g*l = 4*l + 1040. What is l rounded to the nearest one hundred?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the first derivative of -i**2\/2 - 13*i + 2. Suppose -5*y - 2*l = 91, -2*y + 3 = -3*l + 28. What is the remainder when 10 is divided by g(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the second derivative of -181*c**7\/42 + c**6\/15 + 5*c**4\/12 - 27*c**2\/2 - 187*c. Find the third derivative of k(y) wrt y.\nAnswer: -10860*y**2 + 48*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4797734737 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = -3*v + 3*r, -3 - 13 = 2*v + 4*r. Suppose 5*d - 13 = 52. Let l = d + v. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -408*h = -420*h + 216. Calculate the highest common divisor of h and 6282.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u, -4*o + u = 4*u - 84. Let q = -19 + o. Factor 18*y**2 + 0*y**2 - 8*y**q - 5*y**2.\nAnswer: 5*y**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a microgram in nanograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h - 1 + 1)*(2*h - 2*h**2 - 4*h + h).\nAnswer: -2*h**3 - h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yfymfsycffyyk. Give prob of sequence yf.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11*147\/(-2310))\/((-1)\/((-15)\/(-9))).\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.61327 + 0.11327. What is the smallest value in 5, h, -32, -0.4?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 252 and 1638.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o = -3*b + 17, -2*b + 22*o = 25*o + 6 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -z**4 + 1434*z**3 - 66620*z**2 + 127512*z = 0.\nAnswer: 0, 2, 46, 1386","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 226*v**2 - 5*v. Let x(o) = 3276*o**2 - 72*o. Give -72*h(a) + 5*x(a).\nAnswer: 108*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gl when two letters picked without replacement from {g: 7, t: 4, d: 2, l: 1}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**2 + 2*h - 1. Give p(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 3*d = 13, 0 = d + d - 10. Let h(a) = 260*a + 1 - 519*a + 262*a. What is h(i)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19.7 at least 59?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -3 + 8 + (30 - 35).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/5, -43\/2, -5, 5\/329, -1, -4, 7?\nAnswer: -43\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14)\/(-2))\/(-1)*22\/((-506)\/23).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 41 + -57. Let y be 350\/(-4)*z\/20. Suppose -5*w = 2*x - 52 - y, -x = 5*w - 121. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -4*x**3 - 5*x**2 + 9*x - 9. Let n(a) = a**3 + a**2 - 2*a + 2. Let c(i) = -2*l(i) - 9*n(i). Let w(h) = h**3 - 6*h**2 + 1. Give -6*c(f) - w(f).\nAnswer: 5*f**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 4 (b) 23 (c) 2\/7 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**3 - 17*r**2 - 13*r + 48. Let w be p(-16). Let o(s) = -s - 18. Give o(w).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -418 (b) 4.6 (c) 3\/5 (d) 1\/4 (e) 2 (f) 3 (g) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 120\/32 + -1 + -2. Put -0.2, -1\/8, b in decreasing order.\nAnswer: b, -1\/8, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 3 y when four letters picked without replacement from {u: 5, y: 3, h: 4}?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1770 less than 137.261?\nAnswer: -1632.739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 17 + -13 + 48\/(-12). Let d(s) be the second derivative of 9*s + x - 20\/3*s**3 - 13*s**2. Find the first derivative of d(z) wrt z.\nAnswer: -40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.7218918 - -1.47188427. Let u = -0.25 - q. Round u to six decimal places.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 (base 9) in base 11?\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o = 4*o. What is the smallest value in -1, o, 18?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-49)\/63)\/(21\/(-18)))\/((-40)\/15)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -34.5 - -37.5. Which is the nearest to 13? (a) -2 (b) -1\/3 (c) l (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.188034037 to two dps.\nAnswer: 0.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44592447?\nAnswer: 3, 641, 23189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**2 - 11*m + 5. Let h be p(11). Suppose 0*x = x - h. Differentiate 1 + 0 - z + x + 3*z wrt z.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1932*d**3*h + 50*d**3 - 963*d**2*h - 4*d**2 - 2*d + 2*h + 12170 wrt h?\nAnswer: -1932*d**3 - 963*d**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/(-2)*(-32)\/(-24).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.757 + -0.243. Which is the third biggest value? (a) -3 (b) 17 (c) k (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24)\/sqrt(4)*-6)\/(sqrt(27)*-3) - ((5 + sqrt(288)*-2)*2)**2.\nAnswer: -4708 + 2882*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 78 = -r. Does 9 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 - -8. Factor -5*z**5 - z**3 - 6*z**4 + 151*z - v*z**4 + 2*z**2 - 151*z.\nAnswer: -z**2*(z + 1)**2*(5*z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5.48*-1.60374\nAnswer: -8.7884952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-350)\/6)\/(-35)*6\/110.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b = 3*x + 1 + 5, -4*x - 5*b - 26 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16 - -5. Let y = 12 + r. Let j = y + -6. Sort 2, j, -1 in descending order.\nAnswer: 2, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1b99b (base 16) to base 14.\nAnswer: -2d2b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -721 + 1258. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-45 + 10 - -73) + -10\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(51)\/sqrt(3)*1.\nAnswer: sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 5*c**2 + 520*c + 9599. Determine k(-80).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 146536611 to the nearest integer?\nAnswer: 12105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f = 5*v - 5*f + 981, -f - 591 = 3*v. Let w = v - -204. Is w a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (151 + -147)\/(8\/422258) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 - 2)*(-4 + 2 - 4)*(-5*y**3 + 2*y**3 - 2*y**3).\nAnswer: -180*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 x, and 1 d when three letters picked without replacement from {d: 2, g: 4, y: 1, h: 1, x: 1, f: 3}.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2573 - 1641. Suppose -d - 3*d = 5*c - 20, -4 = -2*d - c. Suppose 2*r + m - 4450 = d. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000280327 to 6 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -4*p**2 + 5*p + 6. Let u(c) = c**3 - 7*c**2 + 9*c + 3. Let w be u(3). Let b(m) = -9*m**2 + 11*m + 12. Determine w*b(l) + 13*z(l).\nAnswer: 2*l**2 - l + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 121170948 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*z + 2. Find u, given that 17 - 99*u**3 - 42*u - 138*u**z + 6*u - 21*u**4 + 7 = 0.\nAnswer: -2, -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than or equal to -2\/685275?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ousg when four letters picked without replacement from {s: 4, w: 2, u: 2, o: 5, i: 1, g: 1}?\nAnswer: 1\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-105)\/(-150) - (-2)\/(-10). What is the closest to 1\/2 in 1\/5, -1\/4, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 at least as big as -12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the third derivative of -1\/165*z**6 - 1\/1155*z**7 - 3*z**2 - 1\/33*z**4 + 0 + 0*z - 1\/33*z**3 - 1\/55*z**5. Factor r(u).\nAnswer: -2*(u + 1)**4\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 8 = -4*y, 16 = 3*y - 3*k - 2. Find the third derivative of -4*b**4 - b**4 + 9*b**4 + b**y wrt b.\nAnswer: 96*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -193 * -5.\nAnswer: 965","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -4475737, -4475738, -4475739, -4475740, -4475741?\n\"Answer: -w - 4475736","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 26130 and 10452?\nAnswer: 52260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 71527?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -343055 times 16\nAnswer: -5488880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 12) to base 16\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 2*w - 2 - 5 - 1. Let u(o) = -1. Let h = 1629 + -1630. Determine h*t(j) + 6*u(j).\nAnswer: -2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1644 + -1645.991. Let k = -0.009 + q. Which is the nearest to 0.09? (a) -5 (b) 4\/3 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3995*m + 383670 = 4013*m. Is m a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 43.771 - 0.371. What is o rounded to 0 dps?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*g - 37*g - 120*g)*(3*g**2 - 3*g**2 + g**3)*(14 + 9*g - 14).\nAnswer: -1494*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + 10. Let k = i + -15. Which is the nearest to 0.1? (a) 0.5 (b) k (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 36999 = -0*v + 36991. Determine c, given that 2\/9*c**v - 10\/9*c + 8\/9 = 0.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 263250 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 + 3425906.\nAnswer: 3425905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9590?\nAnswer: 2, 5, 7, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*k + 13 - 13)*(4*k - 6*k + 0*k)*(-2*k - 2*k**3 + 2*k).\nAnswer: 24*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.052 (b) -0.4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*f - 12 = 5*f. Suppose 5*k - f*m - 1443 = 0, 4*k + 5*m - 859 = k. Calculate the greatest common factor of k and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -3*x + 56. Suppose 0 = 3*b - 4*v + 39, -42 = 3*b - 4*v - v. Let u = b + x. Calculate the lowest common multiple of u and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1952 or 1951?\nAnswer: 1952","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-8) + 60\/16. Let w(m) = y*m - m - 2*m - 4. Suppose 35*c + 30*c = 8*c. Calculate w(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1612050.\nAnswer: 2, 3, 5, 11, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5656868?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 924*a**4 + 7*a**2 - 28*a - 50. Let s(p) = -308*p**4 - 2*p**2 + 9*p + 17. Let j(h) = 7*s(h) + 2*t(h). What is the second derivative of j(f) wrt f?\nAnswer: -3696*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87 = 5*f + 4*n, 3*f - 5*n - 13 = -80. Let t = -12 - f. Calculate the remainder when 20 is divided by t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 2*h**2 + 5*h - 13. Let y(q) = -q**2 - 3*q + 6. Let w(p) = -6*r(p) - 13*y(p). Determine b so that w(b) = 0.\nAnswer: -9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -275*m = -274*m + 3*j + 18, 4*m = 5*j + 13 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -114*x**2 - 52 wrt x?\nAnswer: -228*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 99*x - 101*x = 6 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 3*d + 24. Let m be k(-7). Solve 0 = -7*z + m*z + 16 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -3*f. Let m(k) = -2*k + 7*k + 5*k. Determine m(h(b)).\nAnswer: -30*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1172.83 - -1178. Let n = z - 0.17. What is the second smallest value in -2, n, -0.9?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 1.1 and 0.20254547.\nAnswer: 1.30254547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 89 = 3*a - 24, -b = -4*a + 149. Is a a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i - 9, -5*u + 7 = -i - 0*i. Suppose -5*o = -3*g + 270, 0 = 4*o - u*g - 3*g + 216. Let h = -31 - o. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(-5) - (-58)\/40. Let c = 15.044 + 0.056. Let s = c - 15. Sort 4, k, s.\nAnswer: s, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1111111 (base 2) in base 13?\nAnswer: 9a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -875*g**5 + 244*g**2?\nAnswer: -52500*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-9248)\/408)\/((-2)\/129000*-1). What is g rounded to the nearest 10000?\nAnswer: -1460000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 598 - 1743 + 1960*s + 572 + 571.\nAnswer: 1960*s - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 66627 divided by -11?\nAnswer: -6057","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 31 = -3*u - 0*u, -u + 23 = -5*f for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 - 7. Suppose 2*v = -2*v - 3*l - 4, -l - 6 = -v. Suppose 2 = v*o - 6. Sort o, 3, d.\nAnswer: d, 3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -9*x**3 - 3*x + 12. Let r(t) = t. Let g(d) = 3*r(d) + w(d). What is the derivative of g(z) wrt z?\nAnswer: -27*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 60\/66*(-209)\/(-38).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 82 by -282.\nAnswer: -41\/141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -901242\/7 + 876008239\/6804. Find the common denominator of -61\/66 and n.\nAnswer: 10692","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1110000001 + -111011?\nAnswer: -1110111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 6*w**3 + 2026*w - 257. What is y(0)?\nAnswer: -257","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**3 + 3*o**2 + 7*o - 13. Let y be z(4). Let n = 5 + y. Calculate the remainder when 9 is divided by n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 + -7)\/((-9)\/(-240)). What is the lowest common multiple of 132 and (-16)\/m - (-119)\/10?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/4 - (-979)\/356. Calculate the greatest common divisor of a and 22.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 17 = -13. Put -5, -4, n, 2 in descending order.\nAnswer: n, 2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 24 + -3423111?\nAnswer: -3423032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*w + 5*p - 20, 3*p - 106598 = -3*w - 106607 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 48429\/20 greater than or equal to 2421?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2\/5, 2, 1\/5, 9?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + (14 - (2 + -1)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 + (-3 - -6 - -386) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 546 and 84?\nAnswer: 1092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 1 v when three letters picked without replacement from {v: 4, p: 3, f: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 120 (base 9) to base 6\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from ueunnuudunuuuuduuuu.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 125\/36 and -101\/2064.\nAnswer: 6192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**3 + 1245*g**2 - 49365*g + 36. Calculate x(41).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37422 is divided by 4148?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 49*q + 14*q + 1 - 5*q + 0 in the form f + a*q and give a.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 4 + 19 - 9 + 5*c**2.\nAnswer: 5*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y - 3*q + 22, 3*y - 8*y + 26 = 4*q. Suppose 8 + 8 = y*c. Solve 3*t - c = t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -11, 5\/24, 0.4 in increasing order.\nAnswer: -11, -9, 5\/24, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:48 AM and 7:58 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13293, 13342, 13303, 13164, 12913, 12538?\nAnswer: 12027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in sixty-four fifths of a litre?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 19 = p, o = -p - 3*p + 65. Calculate the least common multiple of (-35)\/2*16\/(-20) and p.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 21 - 99. Let p be 6\/4*(-364)\/g. Let k = p + -1. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10a8b (base 14) to base 7.\nAnswer: -226034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -45160 minus 622?\nAnswer: -45782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/776 and -47\/108.\nAnswer: 20952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 373 in -5, 14403, 4, -0.4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (28 + 2 + 10)*(6 - 2 + 2*i - 5).\nAnswer: 80*i - 40","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**3 + 7*x**2 - 2*x + 2. Let b be i(-7). Suppose 4*n = b + 352. Suppose 0 = -5*v + g + 230, -2*v + n = -3*g - g. Is 12 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 16*c**2 - c. Let d be r(1). Suppose -d = -3*l - 0*l. What are the prime factors of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -116 divided by -38.\nAnswer: 58\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 minus 854.8?\nAnswer: -874.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 - -5. Suppose 5*g - 2*j = 8, -g + j + 1 = -f*j. Let p = g - -2. What is the highest common factor of 16 and p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-78)\/(-2)*(29\/406)\/((-3)\/(-7))\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (12\/18)\/(-6*(-2)\/54). Factor 0*b - 1\/4*b**i - 1\/4*b**2 + 0.\nAnswer: -b**2*(b + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 1769 = -4*h + 3382, -2*h + 2578 = -4*r. List the prime factors of h.\nAnswer: 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 433091033 and 122?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -133\/18 and 93\/241856?\nAnswer: 2176704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -1\/14, 19, 4?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 251*o + 11*o - 111*o - 1812 for o.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -85980040*z**2 - 76204766*z.\nAnswer: -171960080","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -4 (b) -242 (c) -2 (d) -1\/10 (e) -6\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -5*v + 8. Let r(w) = -16*w**2 + 50. Let c(a) = -2*a**2 + 5. Let u(s) = -10*c(s) + r(s). What is b(u(j))?\nAnswer: -20*j**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -10*c. Let o(x) be the first derivative of 20*x**2 - 796. What is r(o(m))?\nAnswer: -400*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/w**(-5)*w*w\/w**(5\/2) assuming w is positive.\nAnswer: w**(11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 21795*c**5 + 2088*c**2 + 2*c - 1 wrt c.\nAnswer: 1307700*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29431?\nAnswer: 19, 1549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 177\/7 - 12\/42. Suppose -40 = -8*b + 5*b - 4*c, 10 = b - 2*c. Let u(h) = -2*h - 2*h + 11*h**2 - x*h**2 + b*h**2. Give u(-4).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5971 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 457024?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**2 - 60. Let d(c) = 5*c. Calculate d(l(n)).\nAnswer: 5*n**2 - 300","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 517.7753 less than -2168085.3?\nAnswer: -2168603.0753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c - 272*f - 8 = -274*f, -c - 4*f = 20 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is five sixths of a minute in seconds?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 5 + (13 - (0 + 12)) - 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 745.469 millilitres in litres?\nAnswer: 0.745469","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 5*k - 389 = 0, 4*t + 0*k + 4*k = 384. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24815546, 49631088, 74446628, 99262166?\nAnswer: 124077702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - 1 - (2 + -5 + 4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6*(-2)\/(-42)*(-6)\/(168\/(-49)). Let m = -0.005 + 0.005. What is the closest to -5 in -2\/7, s, m, -2\/11?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(637)*1 + -5 - sqrt(637))**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 35*r - 2. Let a be x(-4). Let q = 14097\/4 - 140959\/40. What is the common denominator of (2\/72*a)\/(-2) and q?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 48\/(-12) + (2 - 0). What is the tens digit of (4 - -27)*-2*i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 5*n**3 + 3*n**2 + 3*n. Suppose 0 = -7*v + 307 - 1049. Let f = 97 + v. Let w(x) = -11*x**3 - 7*x**2 - 6*x. Give f*j(i) - 4*w(i).\nAnswer: -i**3 + i**2 - 3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -478.46798 to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 527668424*a**3*g**2 + 743444*a**3 - 59*a**2 wrt g?\nAnswer: 1055336848*a**3*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes after 11:16 AM?\nAnswer: 4:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/3*(-6 - -9)*-4. Suppose -n + i - 7 = 0. Calculate the greatest common factor of n and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.806492 to one dp.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 491 is divided by 124.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/((c**(-2\/47)\/c*c)\/c))\/c*c\/(c\/c**(7\/3))*c**(-6\/7)*c*c**(-9) assuming c is positive.\nAnswer: c**(-5410\/987)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**2 - 292*u + 4572. What is k(15)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the second derivative of -v**5\/5 - v**4\/6 + v**3\/6 + v**2 - 18*v. Let n be g(-1). Let m be 32\/(-42)*n\/(-4). What is the smallest value in 0, m, 0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*l - 142634 = -141584 for l.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -167512, -167515, -167518, -167521?\nAnswer: -167524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**2 - 24*o + 474. Determine x(-40).\nAnswer: -166","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*z - 330*z**3 - 4*z + 137*z**3 + 207*z**3.\nAnswer: 14*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 596*m + 0 - 1 - 218*m + 6.\nAnswer: 378*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (11\/1 - 7) + -4. Let f = -0.1 + 0.4. Which is the closest to 0.1? (a) 0.4 (b) k (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 240.90177 months in millennia?\nAnswer: 0.0200751475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 56*m**2 + 7*m - 17. Let i be f(-8). Suppose 4*o - i = -3*w - 2*w, 2*w - 874 = -o. Is o a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-86)\/(-18) + 4\/18. Suppose -f*w + 6 = -2*w. What is k in 0 + 4\/9*k - 14\/9*k**4 - 22\/9*k**w + 32\/9*k**3 = 0?\nAnswer: 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z = -4*i - 36, -600 = -5*i - 6*z - 492 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 divided by 20062?\nAnswer: 11\/20062","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 115723.7*0.2.\nAnswer: 23144.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 486 = -0*f. Let v be f\/12*(-40)\/(-6). Suppose -v = -3*h - 2*d + d, -4*h + 121 = d. What is the remainder when h is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3 - -139)*((-67)\/536 - (-5)\/8). Solve -81*c + s*c = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and 916.\nAnswer: 2748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 50940889 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9 and 24.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 52.61 - 47.61. What is the second biggest value in 6, -0.1, 2\/3, v, 0.6?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -2\/4952551235?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 32 + -2. Suppose -4 = -x*s + 28*s. Suppose i - 2*i - 3*u = 0, -3*i - 4*u = 0. Solve 0*z - s*z - 2 = i for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert b06cb (base 14) to base 11.\nAnswer: 26a562","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(15)\/sqrt(3)*3 + (sqrt(5) - (-2*(sqrt(20)\/sqrt(4) - sqrt(5)))**2) + 1 + sqrt(405) + -5 + sqrt(400)\/sqrt(5) + 2*(sqrt(5) + sqrt(5) + 1) + 2 + 1.\nAnswer: 1 + 21*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:53 AM and 1:10 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1794 + -1689. Suppose 2*i - 30 = -124. Let y = i + b. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4072\/609 + -4\/203. What is the common denominator of s and -61\/4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6656, -7703, -8872, -10223, -11816, -13711, -15968, -18647?\nAnswer: -21808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 + 3b?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 4, x: 15}. What is prob of sequence ll?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 200222 (base 3) in base 7?\nAnswer: 1331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y. Let l(v) = -19*v + 3*v + 6*v + v. Determine 3*l(c) + 24*u(c).\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -16*l + 66. Suppose -4*v + 165 = v. Calculate the remainder when b(-2) is divided by v.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 18*l**4 - 9*l - 1 - 70*l**3 + 70*l**3 wrt l.\nAnswer: 216*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/31638405 and -29\/216.\nAnswer: 2277965160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 + 446?\nAnswer: 443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/4 - (-1090)\/8. Suppose 5*s - 3*w - l = -42, 3*w + 9 = 0. Let r = 37 - s. Calculate the lowest common multiple of 6 and r.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*j**3 - 8*j**2 + 28\/3*j + 16\/3.\nAnswer: -(3*j + 2)**2*(5*j - 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 - 96 = -5*x - 5*l, 5*l = x - 36. Let t be x\/(-156) + 3\/16. Do t and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 2 b when four letters picked without replacement from fhbfhhhbhhh?\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + (21 - 52) - (-1 + 2)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5216 - -5218. Let g(v) be the third derivative of -1\/96*v**4 - 18*v**h + 0*v + 0 - 1\/240*v**5 + 1\/12*v**3. Find j, given that g(j) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2695104?\nAnswer: 2, 3, 4679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, -22, 33, -2, 2.\nAnswer: -22, -4, -2, 2, 3, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -342 (b) -0.5 (c) -0.4 (d) 0.02 (e) -27\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 252 and 1015.88?\nAnswer: 256001.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78107970 is divided by 35391.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1134 + 1137. Let d(r) be the third derivative of 0*r**a + 0 - 1\/600*r**6 + 0*r**5 + 0*r + 1\/120*r**4 - 14*r**2. Factor d(j).\nAnswer: -j*(j - 1)*(j + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.4 + 0.4. Which is the fourth biggest value? (a) 0.3 (b) 2\/7 (c) t (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 3*x = -1, 5 = 4*k - 5*x - 8. Let w = 4 - k. Suppose -w*y + 61 = -29. What is the highest common divisor of y and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -5*l - 142. Determine y(-30).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (54\/5)\/3*(-1)\/(12\/40). Let p = -2 + 4. Which is the nearest to 1? (a) g (b) -2\/11 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s + 0 + 0 - 1)*(12 + 7*s - 12)*(-2*s + 2*s + s) + (2*s - 2 + 2)*(3*s**2 - 3*s**2 + s**2).\nAnswer: -12*s**3 - 7*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-6)\/(-4))\/((-2)\/(-4)). Let t = -83 - -87. Let x(s) = -t*s + 4 - 7 + s + s. Determine x(g).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - ((5 - 8) + 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 307.9863cm?\nAnswer: 3079863000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7.1 * 35.718.\nAnswer: -253.5978","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0, 4, -44367, 5, 12 in increasing order.\nAnswer: -44367, -5, 0, 4, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, -5, -16, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - 4 + 2*o + (-3*o + o + o)*(0 - 1 + 2) + 2*o - 6*o + 3*o + 0*o + 3*o - 2*o + 2*o - 6*o + 2*o - 2 + 2 + 2*o - 3*o - 3*o + 0*o.\nAnswer: -5*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.8? (a) 5\/239 (b) -0.5 (c) -2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2, -2, 73, 67 in ascending order.\nAnswer: -3, -2, 2, 67, 73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000111 + -11000010110100100110000?\nAnswer: -11000010110100101110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15, -44, -95, -168, -263, -380, -519?\nAnswer: -680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/((-4)\/(20\/15)). Let d(c) = 59*c**2 - c - 1. List the prime factors of d(z).\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.09 greater than -0.237?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**2 - 2125950*y - 1129915850625.\nAnswer: -(y + 1062975)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mrr when three letters picked without replacement from jrmvmnnjrmvjjnrt?\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 431, 1801, 4137, 7481, 11875?\n\"Answer: 7*z**3 + 441*z**2 - 2*z - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the second derivative of a**3\/6 - 11*a**2\/2 + 6*a. Let q be i(6). What is the units digit of 27\/(-18)*(q - -1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k**5\/4 + 141*k**4\/4 + 2721*k**3\/2 + 9131*k**2 + 13098*k = 0. What is k?\nAnswer: -74, -59, -6, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 14 = -5*q, -q = -n + 4*n. Let u(o) = 6*o + 1. Calculate u(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*x + 7*x - 2*v + 56 = 0, -5*x + 138 = 4*v. Let m(k) = 306*k + 6. Let q be m(1). What is the highest common divisor of x and q?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6.4458*-5.4.\nAnswer: -34.80732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -144245*y**2 - 9*y + 770. Let d be t(30). Round d to the nearest one million.\nAnswer: -130000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43451 is divided by 2896.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -15*y + 14. What is the remainder when 648 is divided by r(-3)?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2575900 rounded to the nearest ten thousand?\nAnswer: 2580000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.02? (a) 4\/3 (b) -1540 (c) 159 (d) 3\/4 (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 7, -45, -320, -5.\nAnswer: -320, -45, -7, -5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 271*s - 95*s + 674*s + 21*s - 16 + 781*s. Let n be w(-7). Round n to the nearest 100.\nAnswer: -11600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 4*m + m - 3*m. Let a(g) = -g**3 + 10*g**2 - 14*g - 2. Let y be a(2). Let h(u) = 17 + 164*u**2 - 17 - 150*u**y. Determine h(z(b)).\nAnswer: 56*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 1006*u. Let k(s) = -47*s**2 + 11. Let n(p) = 17*p**2 - 4. Let d(m) = -4*k(m) - 11*n(m). Determine w(d(z)).\nAnswer: 1006*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(57) + 2*sqrt(57) + sqrt(57))\/sqrt(3) + 2.\nAnswer: 2 + 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37775279?\nAnswer: 761, 49639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 729 + 1?\nAnswer: 72a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5.16616 - -401.60284. Let n = 407 - s. Round n to two dps.\nAnswer: 0.23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9377255 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 m, and 1 i when three letters picked without replacement from mluiwilrw?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4032)*2)\/(-1*sqrt(4)*1).\nAnswer: -24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/70576 and -53\/2376.\nAnswer: 1905552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -800136 divided by 133356\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*n - 46 = 0, -c - 3 = 6*n - 4*n + 13 for c.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 47 + -42. Suppose -j*g = 2*k - 33, 0*g - 2*g - 10 = -5*k. What is the biggest value in k, 1, -1.6, -3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2264.\nAnswer: 2, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 3*t**3 + 21*t**2 - 10*t - 17. What is the remainder when 59 is divided by o(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1357 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*k = 22*k + z - 48, 0 = 4*k + 2*z - 42 for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(891) - 3*sqrt(891)*-3 - (1 + (sqrt(176)*-3)**2)) + 2 + -2.\nAnswer: -1585 + 90*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, k: 3, u: 2, e: 1}. Give prob of picking 2 u and 1 k.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + -2*sqrt(242) + -5)*-1*-1)**2.\nAnswer: 396*sqrt(2) + 1049","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -95 + 40. Let w be 7\/(-5) + (-22)\/z. Let k = -1457\/910 - -21\/13. Which is bigger: k or w?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 33.66568um?\nAnswer: 0.003366568","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/18 and 4.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -2*i - 1. Put 5, i, -5 in descending order.\nAnswer: 5, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 127*p**2 - 8147*p - 246*p**6 + 8147*p wrt p.\nAnswer: -29520*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 31551 and 832.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:38 PM and 11:48 PM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 - (9 + 2*-1). Let h = -302 - -287. Let t be ((-6)\/(-9))\/(b\/h). Solve -t*y + 3 = -3*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -375*(-2 - (-49336)\/12). Round m to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 133273?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 387172169 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the third derivative of -l**5\/12 + l**4\/12 - l**3\/6 + l**2. Suppose -6 = -2*b + 2. Suppose 4*y = -3*a + 7, b*y - 9 = -4*a - y. Determine w(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of c**3*k**2 + 524*c**3*k + 86*c**2*k**2 - 4*c*k**2 wrt c.\nAnswer: 6*k**2 + 3144*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 222 is divided by 38.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 23399*h**3 + 219*h**2 wrt h.\nAnswer: 140394","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 7, b: 2, w: 6}. Give prob of sequence wbdd.\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 69 - 46. Let a(v) = -4 + 3*v + 14 - 5*v. Calculate the remainder when a(-17) is divided by h.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - u = -2*r - 8, -3*r + 32 = 5*u. Solve 0 = -5*n + 2*d + r, -4*n - 4*d - 8 = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35468.55 millennia in years?\nAnswer: 35468550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1*2*(-3)\/(-66)\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1484, -5028, -10928, -19178, -29772?\nAnswer: -42704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/2)\/((-540)\/36)\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-7)*h)**23*(((h*h*h\/(h*(h*(h\/((h*h*h**6)\/h*h))\/h*h)\/h))\/h)\/h)**(19\/2) assuming h is positive.\nAnswer: h**(-143\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -34.47 + 31.47. What is the nearest to 154 in -5, 3\/7, -0.4, b?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2 + -1 + 0)*-10. Let z(q) = -q. Let h(m) = 8*m - 6. Let t(d) = w*z(d) - h(d). Determine t(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((6*((sqrt(76)*-3 + sqrt(76) - sqrt(76))*-3 + sqrt(76)))\/(sqrt(48)\/(sqrt(12) + (sqrt(192) - 4*sqrt(192)))))**2.\nAnswer: 49658400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/3*162\/(-12). Suppose b - z = -b. Let q(g) = g**2 - 4*g**2 + 4*g**2 + 8 - b*g. Determine q(6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -134*v. Let m(j) = 2*j - 15*j + 9*j + j. Determine m(s(y)).\nAnswer: 402*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(1\/12))**(-2\/3))**(-10\/13) assuming q is positive.\nAnswer: q**(5\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 16389 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -43 + 48. Let d(o) be the third derivative of -3*o**2 + 0 + 1\/60*o**a + 0*o**3 + 0*o - 1\/24*o**4. What is the second derivative of d(w) wrt w?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*z**2 - 2 + 5*z**4 - 11*z**2 - 5*z**2 + 3 + 28*z**2 to f*z**4 + l*z**3 + a*z**2 + j*z + s and give a.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 4*p + p - 13*p + 9*p. Let x(f) = 2*f + 79. Calculate v(x(i)).\nAnswer: 2*i + 79","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15, 26, 25, 6, -37, -110?\nAnswer: -219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m + 2*a + 78, -4*m - a = 3*a + 108. Let x = m + 30. Calculate the highest common factor of 3 and x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q - 24 = -2*q. Let n be (4\/(-30))\/(2\/q). Which is the closest to 1? (a) -3 (b) n (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 10*q + 86. Let w be d(-8). Let r = -45.6 + 44.6. Which is the nearest to -2? (a) w (b) r (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1)\/(-2))\/((-3)\/(-6690)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes after 12:13 AM?\nAnswer: 2:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 - -152?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - 4*y - 595, -2*y = -5*d + y - 2998. Let v = d - -601. Solve -25 = -3*b - 5*u, -8 - 2 = -5*b - v*u for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 165 + -118. Suppose q - b = 36. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -4*g - 1. Let s be y(-4). Is 95\/6 bigger than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 210*r**2*z + 33*r*z + 2*r - 4 wrt r.\nAnswer: 420*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.5 - 2.3. Which is the third smallest value? (a) -2 (b) -1 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the first derivative of 2*c**2 - 1\/3*c**3 - 1\/4*c**4 - 15 - c. Let r be l(-3). Solve k + 20 = r*k, g - 3*k = -11 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -31 (base 11) to base 9\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 1. Let x(b) = 1 - 3*b + 0*b - 9 + 6. Let z(i) = 2*r(i) + x(i). Calculate z(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -380 and -20054.\nAnswer: 7620520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + 1. Let w = 134 - 98. Let j be 1*4 + w\/27*-3. Solve 4*y + 3 + v = j for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -0*o. Suppose o = 5*b + 5*g + 40, -3*b + 2*b = 5*g + 28. Let t be (b\/(-21))\/((-2)\/(-8)). What is the closest to -2\/5 in t, 1, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2690 divided by 2.\nAnswer: 1345","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4417645555 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-304)\/(-3192)*(-189)\/72\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the third derivative of d**6\/40 - d**5\/20 + 5*d**3\/6 - 17*d**2. Let m(t) = 2*t**3 - 2*t**2 + 3. Calculate 3*b(y) - 5*m(y).\nAnswer: -y**3 + y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**3 - 9*v**2 + 9*v - 6. Calculate f(8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 3, x: 4}. Give prob of picking 1 x and 3 p.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*i = a + 41*i - 3417, 5*a - 17173 = -3*i. List the prime factors of a.\nAnswer: 7, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 21*g + 58. Let w be t(-3). Let k = -25 - -24. Which is the closest to k? (a) w (b) 2 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d + 3*d - 4*d)*(-d - d + d) - 4*d + 4*d + d**2 - 11 - 19 + 7 + 3*d**2.\nAnswer: 6*d**2 - 23","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2379 is divided by 588.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.3 + 2. What is the nearest to 0 in -5, b, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 0 + (-2110)\/(-26) - 12\/(-390)*-5?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 4*w = 0, k = -3*k + 4*w + 4. Let t(j) = 12*j - 34*j**k + 8*j - 38*j**2 + 8 + 90*j**2. List the prime factors of t(-4).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -59*u**2 - 90*u**2 + 184*u**2 + 2*u as a*u**2 + d + c*u and give a.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/4 (b) -0.02 (c) 0.4 (d) -83 (e) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/((n**(-3\/4)\/n)\/n))**(3\/4) assuming n is positive.\nAnswer: n**(45\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8378 is divided by 1232?\nAnswer: 986","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -5*d**3 - 2*d**2 - 9*d - 7. Let r be p(-3). Let y = r + -39. List the prime factors of y.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 160603269 to the power of 1\/3, to the nearest integer?\nAnswer: 544","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 29 - 20. Suppose 5*u = 1 + l. Suppose k = u*k - 2. Solve -a - k*c = a + 18, -3*a = -4*c - 8 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q**3 + 6038*q**2 + 355198*q + 349162 = 0. What is q?\nAnswer: -2959, -59, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1.02 - -0.0996\nAnswer: 1.1196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 162721?\nAnswer: 13, 12517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -366900 - 1115.\nAnswer: -368015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - (-1 - 2)) + (-48 - -41) + -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -2*v**3 - 2*v**2 - 15*v - 59. Let l be h(-5). Is l not equal to 215?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6473000 and 600.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107 is divided by 55.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 9695891 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 1743*o**2 + 14*o - 30. Does 21 divide s(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2bd775 (base 16) to base 8\nAnswer: 12753565","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.93 + 0.07. Let v = -5 + y. Let j = 0.3 + 0.1. What is the third smallest value in j, 5, v?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 2 = -18. Let f be 10\/(-25) - 74\/x. Suppose 4*u + f = 2*g - 5, -12 = -3*g. Let k(r) = 11*r**2 + r. Give k(u).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - 0) + 1 + 9 + 2?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3482*n**2 - 3 - 802*n**2 + 4515*n**2 + 3.\nAnswer: 231*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2531 - 2508. Let o be 426\/10 + (-2)\/(-5). Let i = 109 - o. Calculate the remainder when i is divided by y.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -253267036.6528 - -263480230.65087. Let j = 10213279 - s. Let d = j - 85. What is d rounded to four decimal places?\nAnswer: 0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(72))*-6 + sqrt(72) - (2 + sqrt(72) + -4).\nAnswer: -36*sqrt(2) - 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8\/56 - 39\/(-21). Factor 2\/5*f**4 + 0 - 2\/5*f**3 - 4\/5*f**w + 0*f.\nAnswer: 2*f**2*(f - 2)*(f + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**4*(g\/(g*g\/g**(-2\/5)))\/g)\/((g**(6\/11)*g)\/(g**1*g)) assuming g is positive.\nAnswer: g**(168\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4984206, 9968430, 14952654, 19936878?\nAnswer: 24921102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 85571.39 millimeters in nanometers?\nAnswer: 85571390000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/(-10))\/(105\/70)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -161.236273 + 0.36\nAnswer: -160.876273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n + 1. Let j be l(6). Which is the closest to -0.1? (a) -1\/6 (b) j (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9863 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 + -15. Let i be -99*(r\/15)\/4. Suppose 5*u + 8 - i = 0. Is 3 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (189\/24)\/(287\/(-164))*24\/(-4).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**3\/3 - 2326*q**2\/3 - 677446*q\/3 - 675122\/3.\nAnswer: -2*(q + 1)*(q + 581)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3716354 centuries to millennia.\nAnswer: 0.03716354","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 150790 to the power of 1\/2, to the nearest integer?\nAnswer: 388","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2045, -2028, -2027, -2048, -2097, -2180?\nAnswer: -2303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 8*o - 108. Let y = 621\/4 - 1177\/8. Calculate the common denominator of (-107)\/48 + 2 - 12\/o and y.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -65756 times 4\nAnswer: -263024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 58 + -15 + (28 - 16) + (-3 - 3)?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 28.2*39\nAnswer: 1099.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 110\/538051 >= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -39.1 - -39. What is the nearest to l in 0.5, 0.1, 0.11?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1212516*w**2 - 15616*w - 9?\nAnswer: 2425032","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 - (-4)\/6)*(-18249)\/(-1364). Let u = -1543\/4 - -47993\/124. Let v = b - u. What is the common denominator of 109\/54 and v?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*a**2 + 127000 + a**3 - 127000.\nAnswer: a**3 + 39*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 4*j. Let o(p) = -3*p + 3 - 10 + 6 + 1. What is 3*o(i) + 2*z(i)?\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -35581 (base 11) in base 14?\nAnswer: -14984","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 69 + -37. Let a = -28 + o. Let g be (0\/a)\/((-2)\/(3 - 4)). Solve -1 + 6 = -z + 4*k, -z + 5*k - 5 = g for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 + -7. Let d = a - 2. What is the nearest to 0.1 in 4, d, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 24*n - 7. Let g(f) = -25*f + 8. Let j(t) = -3*d(t) - 2*g(t). Is j(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 32.012 - 0.012. Let q = 27 - y. Let m = 81 - 730\/9. What is the biggest value in 1\/2, m, q?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1042221 + -420303?\nAnswer: 121413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (9225\/(-1640))\/((-3)\/8)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence apcd when four letters picked without replacement from {v: 1, p: 4, a: 1, c: 3, h: 6, d: 1}.\nAnswer: 1\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 2 = -p, -3*p - w + 7 = -7*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -3*h**2. Let g(d) = d**2. Let l(k) = b(k) + 4*g(k). Let x(j) = -36*j - 26*j + 57*j. Give l(x(n)).\nAnswer: 25*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 68, 112, 156, 200?\nAnswer: 244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i - 3*i = 0. Let u = 0 + i. Solve v + 11 = -5*h, u = -2*v - h + 2*h for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 26951300?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -416 + -5015132?\nAnswer: -5015551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 241.625 (b) 183 (c) 2\/5 (d) -0.2 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -120 - -490. What are the prime factors of o?\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1554, 6236, 14048, 24996, 39086?\n\"Answer: w**3 + 1559*w**2 - 2*w - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*r - 2*r + 17*r.\nAnswer: 7*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from otriiht. Give prob of picking 1 r and 1 h.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*c + 16. Let t = 152 - 155. Sort 5, c, -10, t in decreasing order.\nAnswer: 5, c, t, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.3 or 4.786?\nAnswer: 4.786","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 78414355 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 352a (base 14) to base 16\nAnswer: 2422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 + (0 - -2)*-1. Let i = 17 + d. Is i a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 62323\/70 and 889 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17366 = 38*o - 14*o - 5*o. Does o = 914?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -1111*j**2 + 4. Let u(a) = 4443*a**2 - 18. What is -2*u(c) - 9*w(c)?\nAnswer: 1113*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(272) + 2 - 1*sqrt(272)*-6)*3*-3)**2.\nAnswer: 1079568","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 z when two letters picked without replacement from {h: 1, o: 2, z: 1, q: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*d + 17*d + 8*d + 5*d - 5*d + d + (-5 + 5 + 2*d)*(-7 + 2 + 3) + 4 - 4 + d - 1 + 2*d + 1 + (0 + 0 + d)*(1 - 2 + 0) in the form c*d + g and give c.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -451211 (base 6) in base 5?\nAnswer: -2203004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:16 AM and 12:25 PM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-184*(-21)\/(-168))\/(-1)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nt when two letters picked without replacement from nnnznnntyzknnynnknnn.\nAnswer: 13\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -4*r + 4*x, 6*r = 5*r - 2*x + 4. Let a be ((-18)\/15)\/(r\/10). Which is bigger: 59 or a?\nAnswer: 59","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + ((sqrt(475) + -1*sqrt(475))*-2*1)**2)*2*-6*-3.\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 27273289 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7706.188 millilitres to litres.\nAnswer: 7.706188","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**3 - 6*y**2 + 8*y - 9. Let x = -28 - -34. Let q(b) = 16*b - 15*b - b**2 + 0 - 1. Let i(z) = x*q(z) - p(z). Calculate i(-3).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -1062*l**2 + 530*l**2 + 535*l**2. Let x(k) = 2*k + 83. Give o(x(g)).\nAnswer: 12*g**2 + 996*g + 20667","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 3, e: 3}. What is prob of picking 2 e and 2 t?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -52 + 3061630?\nAnswer: 3061545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 35*l - 15. Let j(k) = -101 - 19 + 2*k**2 + 120. Determine y(j(i)).\nAnswer: 70*i**2 - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -371.8 to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 1 t when three letters picked without replacement from {a: 6, t: 7}.\nAnswer: 105\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14\/(-8))\/(2\/8*1).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 101796?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12 + 15. Let j be i + 0*(-3)\/(-15). Let f be -4*(-1 + 57\/60)*j. Sort 3, 1\/4, f, 0.3.\nAnswer: 1\/4, 0.3, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -23561, -22190, -20821, -19454, -18089, -16726, -15365?\n\"Answer: -x**2 + 1374*x - 24934","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*y**4 + 0*y**4 + y**4 + (-4 + 4 - 2*y)*(0*y**3 + y**3 - 2*y**3) - 3*y**4 - y**2 + y**2.\nAnswer: -5*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*((l*l*l**(-6)*l)\/l)\/l)\/l**6)\/(l*l\/l**(2\/5)*l*l)**(4\/9) assuming l is positive.\nAnswer: l**(-58\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -129 + 694. Let t = v + -6207\/11. Suppose 100 = 20*y + 30*y. Which is greater: y or t?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 2*d**2 - 2*d - 9. Let y be k(4). Let m = -6 + y. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -41*l - 5 - 52*l + 27*l + 9. Let o be t(-1). Suppose 0 = 2*z - 4*y + y + 32, -4*z - o = -3*y. Is z > -21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2307 take away -119.72?\nAnswer: 119.9507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65833 is divided by 16371.\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, g: 3, e: 4, x: 1}. Give prob of sequence xxe.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - 15 = 10*o - 6*o, r - 3*o - 14 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*s**2 - 41*s**3 + 90*s**3 - 48*s**3 - 4 - s in the form t*s + a + m*s**3 + b*s**2 and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the third derivative of b**4\/6 - 5*b**3\/3 - 2*b**2. Differentiate k(p) wrt p.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 393599003.\nAnswer: 7, 19, 2959391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and 1\/3799 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-30)\/60 - 3\/(-6)*0. What is the nearest to 2 in 4, -5, h?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 - -117a1e?\nAnswer: 117a1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 2075921575?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 100656882?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6708826 divided by -2.\nAnswer: 3354413","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - v - 2)*((10 - 3 - 2)*(-1 - 7 - 2) + (5 - 2 - 1)*(3 - 4 + 3)) in the form f*v + k and give f.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -14.914521 to the nearest integer.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 5*z + 50 + 76, 2*z - 151 = -3*k. Suppose -k*p = -58*p + 560. What is the greatest common factor of p and 56?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:21 PM and 7:09 AM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 882983*d*v**2 + 662504*v**2 wrt d.\nAnswer: 882983*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4253648 and 5468976.\nAnswer: 38282832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a minute in seconds?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 102, 108, 124, 156, 210, 292?\n\"Answer: c**3 - c**2 + 2*c + 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 55\/2 of a gram in milligrams?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 + 0. Let f = 0 - s. Is 2 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1181*a**5 - 1830*a wrt a.\nAnswer: -23620*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 5 (b) 127936 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -224852100 to the nearest one hundred thousand.\nAnswer: -224900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 241969 and 70343?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -75 + 80. Let o(h) = -167*h - f + 330*h + 2 - 170*h + 7*h**2. Let x(v) = -6*v**2 + 6*v + 2. What is 5*o(p) + 6*x(p)?\nAnswer: -p**2 + p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/4044249 and 39\/272?\nAnswer: 64707984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 + 5. Let q = 1.66 - k. Round q to 1 dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12006 and 8.\nAnswer: 48024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1179637 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v = -5*a - 40, -4*a - 5*v - 5 = -6*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-4))\/((-104)\/16*1)?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -20*z + 2. Let x be h(-2). Let w(n) = 42 - 23*n**2 - x + 17*n**2. Let k(l) = -l**2. Give w(k(j)).\nAnswer: -6*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -57, -495, -1675, -3969, -7749, -13387, -21255, -31725?\nAnswer: -45169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**3 + 8*b**2 - 6*b - 6. Suppose u + 30 = 4*w, w - u = 14 - 5. Let z be m(w). Let o(h) = 8*h**3 + h**2 - h + 1. What is o(z)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xi when two letters picked without replacement from {o: 1, i: 5, n: 1, x: 1, c: 3}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13272 + -13287. Put -8, 2, t, 0 in increasing order.\nAnswer: t, -8, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ughz when four letters picked without replacement from gzhhhuhgozuuzguo?\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 75\/1712 and 18\/7.\nAnswer: 11984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a litre in millilitres?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*n**2 - 2*n + 5*n + 11*n**2 - 3*n.\nAnswer: -25*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 110300 (base 4) in base 14?\nAnswer: 6ac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -25*p + 15*p + 1010. Is 100 less than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 129146 is divided by 309.\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -395.549 rounded to the nearest integer?\nAnswer: -396","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 215 - 210. Suppose 2597 = i*r + 4*p, -3*p = -0*r - 2*r + 1048. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3103323122 (base 4) to base 10\nAnswer: -868058","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1647695 and 34979?\nAnswer: 31306205","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2237\/16531 > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1306935?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**3 + 20. Suppose -4*i = -42 - 6. What is the smallest common multiple of t(0) and i?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (-1 - 8) - -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2600442873?\nAnswer: 3, 7, 509591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 113*s**2 + 12*s + 14. Let z be b(-8). Round z to the nearest 1000.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + 5*i + 1567 - 1547 = 0, -3*j + 4*i + 5 + 7 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -a - 12, 0*a + 16 = -3*a + 4*y. Let n = 2 - 0. Let z = 1 + -1. Solve z = -a*v - n*v - 10 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 151 or -1?\nAnswer: 151","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence epps when four letters picked without replacement from zspppppzzezeep?\nAnswer: 15\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2660 - 1653. Put -3, 5, 5\/6, t in descending order.\nAnswer: t, 5, 5\/6, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - -1. Let f(y) = -2*y + 1. Let n be f(l). Let o = 0 + -1\/2. Which is the nearest to n? (a) 4 (b) 0.3 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*a - a + 4*a + (-a + 1 - 1)*(-40 - 21 + 73) + (0*a + 3*a - a)*(-1 + 2 + 1) to the form m*a + u and give m.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, m: 2, w: 1, g: 2, d: 1, p: 1}. What is prob of picking 1 p and 1 w?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64465 is divided by 5370?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, a: 6, x: 7}. What is prob of picking 2 x, 1 e, and 1 a?\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-112)\/(-2100)*10\/4\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from {q: 2, l: 12, o: 2, p: 4}.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 891459.9mm in centimeters?\nAnswer: 89145.99","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3*3095\nAnswer: 9285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4355.04 years in months?\nAnswer: 52260.48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {l: 4, g: 3, b: 11}?\nAnswer: 55\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -284 (base 13) to base 9.\nAnswer: -545","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21)\/14*6146\/25023.\nAnswer: -7\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/3171397 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*g**2 - 3 + 3)*(-6*g + 0 - g + 1).\nAnswer: -49*g**3 + 7*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -4 + ((-2)\/(-2) - 1). Let j(i) = -5*i**2 - 2*i - 1. Let t be j(-1). Let s be t\/(2\/((-2)\/2)). Sort k, s, 3\/4.\nAnswer: k, 3\/4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 2*x - 52 = 0, -6*x = -5*u - x + 55. What is the smallest common multiple of 10 and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -307.1 and 3.\nAnswer: -304.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 57*p**2 - p - 38. Let t be a(6). Suppose -2*z = -t - 138. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45304 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0004478522 to 5 decimal places.\nAnswer: -0.00045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100010001111110101101 (base 2) to base 12.\nAnswer: -461525","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -545.5 rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 38*u**3 - 230*u**3 + 4*u**2 - u**2 - 3*u**2 + 2 to the form f*u + z*u**2 + o*u**3 + c and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -25 + (22 - (101 + -96 - (-1 - 4)))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12*w**3 - 316*w**2 + 29747*w.\nAnswer: -72*w - 632","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 267200 to the nearest ten thousand.\nAnswer: 270000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 202511\/30 - 6755. Find the common denominator of -19\/2310 and c.\nAnswer: 2310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the first derivative of -b**5\/60 + 17*b**4\/36 + 4*b**3\/3 + 43*b**2\/2 - 1. Let l(z) be the second derivative of q(z). Factor l(k).\nAnswer: -(k - 12)*(3*k + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13896289 = 3*n + 22943711. What is n rounded to the nearest one million?\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 626\/5 - 125. Put o, -0.061, -0.1, 3 in descending order.\nAnswer: 3, o, -0.061, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = 2*b - 28 + 49. What is the closest to 0.1 in -5, 1\/10, b?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-14) + 308\/196?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the first derivative of v**4\/4 + 5*v**3\/3 + 5*v - 1. Let n be i(-5). Find the common denominator of -73\/8 and (-20)\/(-22)*28\/n.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, t: 4, f: 2, n: 2, k: 1, i: 4}. What is prob of sequence nnfi?\nAnswer: 2\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 - (-8)\/3)\/(-1 - -3). Let z = -24.3 + 23. Let c = z - -0.3. What is the nearest to 2\/7 in c, 2\/9, k?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14*y**6 - 258722*y**5 - 15*y**2 - 42915*y + 1?\nAnswer: 1680*y**3 - 15523320*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least as big as 4529?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.2*-0.4.\nAnswer: -0.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 142912?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -5*q - 7. Calculate the remainder when 23 is divided by h(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h = -4*p - 1 - 2, 0 = -5*p + h - 18 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.122 take away -6048035?\nAnswer: 6048034.878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 3) to base 4\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 92819.\nAnswer: 101, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, -3.64, -171, -5, 3\/2 in descending order.\nAnswer: 17, 3\/2, -3.64, -5, -171","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 4156687?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -19575, -41792, -64009, -86226, -108443?\n\"Answer: -22217*z + 2642","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -117\/10120000 and -29\/625.\nAnswer: 10120000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -280028 (base 9) to base 2.\nAnswer: -101001101001110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 37 - -62?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gquiyuilg. Give prob of picking 1 i, 1 y, and 1 l.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -9957, -9934, -9911, -9888?\n\"Answer: 23*w - 9980","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 137*s**2 - 56*s**2 - 91*s**2.\nAnswer: -10*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from drrdrarrakrrarksrp. Give prob of picking 2 a, 1 s, and 1 p.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 651236*-27\nAnswer: -17583372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 128440 - 128437. Factor -7\/6*t**2 - 2\/3*t**p - 1\/2 + 7\/3*t.\nAnswer: -(t - 1)*(t + 3)*(4*t - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/1057, 2\/9, -4\/3, -5.99, 1\/4?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p**2 - 3*p**2 + 0*p**2.\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1096418964?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 3*z**2 + 7*z - 3. Let o be -8 + -56 - (3 + 1). Let n = o + 60. What are the prime factors of g(n)?\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -i + 4*z, -6 + 4 = 2*z. Suppose -n - 6 + 41 = -5*l, l = i*n - 216. Let d = n + -25. Calculate the lowest common multiple of 16 and d.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(1 + (-3*(sqrt(2) + sqrt(4)\/sqrt(2)) - (3 + sqrt(2) + -2)))**2.\nAnswer: -392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 8*u = -44. Let p be u\/2*(0 + -2). Suppose 0 = 2*w + 3*w + 4*z - 15, -3*w - 2*z + p = 0. Let t(r) = -r**3 + 8*r**2 - 8*r + 5. Calculate t(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -r**2 + 2*r**2 + 0*r**2 + (-105*r + 915*r - 2508*r)*(-3 + 2*r + 3) to the form m + k*r + u*r**2 and give u.\nAnswer: -3395","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 3 = 3*d, 3*d + 0*p - 4*p + 1 = 0. Solve -2*v - 4*m + 20 = -7*v, 3*v + d*m - 25 = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2a387 (base 14) in base 3?\nAnswer: 12100000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1273.\nAnswer: 19, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 87530.495 rounded to the nearest 10000?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111001100001101010111 - 11010?\nAnswer: -1111001100001101110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-5*(-4*(0 + sqrt(5808)))**2*4.\nAnswer: 5575680","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -2*n. Let j be 4 + (-20)\/(4 - -1). Let k be z(j). Let u(w) = w**3 - w**2 - 2. Determine u(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 509303?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30284, 120847, 271770, 483053, 754696, 1086699?\nAnswer: 1479062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 15) to base 5\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**3 - 7*m**2 - 12*m - 11. Let k be v(-5). Put -3, k, 7 in increasing order.\nAnswer: -3, k, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22\/16*(-213)\/(187440\/160).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/6*-40 - 4. Suppose -a*v = -7*v - 810. Suppose 4*m = v + 74. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -465*k + 822*k = -979*k - 58784 for k.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 591618\/7 + -84517. Let u = 0.6 - 0.1. What is the closest to k in u, 9, -5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -175, 1, 2, 5, -21 in decreasing order.\nAnswer: 5, 2, 1, -21, -175","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -4*p + 14, 4*p + 3*z = -6 + 5. Suppose -3*i - 6 = -0. Sort i, 0, -6, p.\nAnswer: -6, i, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/44 and -5 - 462\/(-80) - 3?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -19 (b) -2\/11 (c) 3\/2 (d) 1\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*d + 2*d - d**2)*(-2*d - 1 + 1) + (1 - 1 - 3*d**3)*(-1 + 1 - 3) in the form p + x*d**2 + g*d**3 + z*d and give g.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**3 + 14*w**2 + 25*w + 18. Suppose -4*a = 4*n - 124, n - 2*a - 35 = -5*a. What is the remainder when n is divided by r(-12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 7, -38, -75, -98, -101, -78?\n\"Answer: a**3 - 2*a**2 - 46*a + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.069+398684981692\nAnswer: 398684981692.069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-4\/5)*d*d**(1\/3))\/((d\/d**(-2))\/d**(2\/9)) assuming d is positive.\nAnswer: d**(-56\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -884, -854, -824, -794, -764, -734?\n\"Answer: 30*n - 914","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5919 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/4)\/(((-3)\/(-144))\/((-183)\/(-366)))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3376 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -4, -2*u + 0*g + 4*g - 18 = 0. Let h be -5*u*(-12)\/(-20). Is (-2 + -46)*h\/(-6) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(-1\/3))**(4\/5)*u**(-6)*u\/u**(1\/8) assuming u is positive.\nAnswer: u**(-487\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 times -0.229521?\nAnswer: -2.29521","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -7*y**4 - 6*y**2 - 22. Let i(f) = -21*f**4 - 17*f**2 - 65. Let m(v) = -17*c(v) + 6*i(v). What is the first derivative of m(u) wrt u?\nAnswer: -28*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -3*p - 16. Determine u(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 e when four letters picked without replacement from {e: 7, o: 1, i: 6, k: 4, m: 2}.\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 160\/(-24)*(-4)\/(-10)*-3 is divided by 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -16*b**2 + 4986*b - 14834. Give f(3).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 5.23079 microseconds?\nAnswer: 0.00000523079","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/(-5) - (-87)\/5. Let z = -25 + j. What is the remainder when 2\/z + (-695)\/(-7) is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -225774 divided by 2?\nAnswer: -112887","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 6*c - 14. What is the remainder when 19 is divided by c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -22*a - 23. What is the remainder when o(-3) is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54 - 5*b + 61 + 4*b - 115.\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7095660?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -7*r + 6. Let t be w(2). Suppose -2*q - 31 = -463. Let d be (t\/6 - -1)\/((-24)\/q). Solve d*u - z + 11 = -u, -3*z - 15 = 4*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-3)*z*z**(-4))\/(z**(7\/5)\/z*z*(z**(-2\/9)\/z)\/z) assuming z is positive.\nAnswer: z**(-233\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -211*z + 116*z + 147*z + z + 0*z + z + 4*z - z - 2*z + (-z - 4 + 4)*(5 - 1 - 5).\nAnswer: 56*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6130305, 24521204, 55172693, 98084766, 153257417, 220690640?\nAnswer: 300384429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -16*n**2 + 1. Determine d(-1).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3100809683 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - -1 - (-15 + 15)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 59051293?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(-1\/2))\/r*r**(-3)*r**(-7)*r*r**(-2) assuming r is positive.\nAnswer: r**(-21\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:25 AM and 1:50 PM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1911091088?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -6.3+286857686\nAnswer: 286857679.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -21552.03 take away -0.0846?\nAnswer: -21551.9454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3361*y - 564*y + 235500 for y.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3*4\/8)\/(-108*(-60)\/192).\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the third derivative of -r**4\/24 - 2*r**3\/3 + 2*r**2. Let u be g(-5). Suppose z = -u + 6. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000922094 rounded to 5 decimal places?\nAnswer: -0.00092","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1\/55)\/((-8)\/(-500)). Let p = z + -271\/11. Let l = p + 25. Which is the biggest value? (a) 3\/8 (b) l (c) 0.1 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/84)\/(((-28)\/8)\/7)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 6632928 divided by 7776\nAnswer: 853","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 2 e when four letters picked without replacement from {r: 1, n: 4, e: 2, l: 4}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -812*-960.3\nAnswer: 779763.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -35 * 5.958.\nAnswer: -208.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -44 or -41?\nAnswer: -41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * -797.\nAnswer: -79.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l**(1\/4)*l\/(l*l**(-2\/5)\/l))\/((l**(1\/4)*l)\/(l*l**(-2\/13))))**21)**29 assuming l is positive.\nAnswer: l**(88914\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2058*q + 21714 - 27427 - 5762 = 105831 for q.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 69600 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*x**4 + 6730*x**3 + 863760*x**2.\nAnswer: -5*x**2*(x - 1464)*(x + 118)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sum 9696760 and 0.1.\nAnswer: 9696760.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uz when two letters picked without replacement from zpubpz?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 6 + 3)*(-5*o + 4*o + 0*o) + 10*o + 4*o - 11*o as i*o + w and give i.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -618*f. Let l be w(-5). Suppose 5*x = -4*p - l, 2*p + 2*x + 0*x + 1544 = 0. Round p to the nearest 100.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -19606 + 19605.9. Sort 0, -73, 16, i, -4 in decreasing order.\nAnswer: 16, 0, i, -4, -73","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 5*v - 41 = 0, -4*v + 14 + 2 = -a. Solve 4*t = -2*w + a, w - t + 5*t = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-1\/4)*t*t\/t**(-1)*t*(t*t**8*t)\/t*t*t\/(t*t**(-5))*t assuming t is positive.\nAnswer: t**(79\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand x + 775*x**2 - 733*x**2 - 2*x + (2*x - 2*x + x)*(-2*x - 3 + 3).\nAnswer: 40*x**2 - x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((288\/28)\/(-8))\/(47\/(9212\/(-280))).\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and -327203?\nAnswer: 130881.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 - c167?\nAnswer: -c167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -51, -5, -6\/43?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126 = 5*d - 2*d. Is d + -4 + (3 - 2) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3786*t - 592092 + 2368*t - 2828*t + 592092.\nAnswer: -4246*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 7393187849 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*j, 0*v + j - 641002 = -v. Round v to the nearest 10000.\nAnswer: 640000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the first derivative of 19*c**3\/3 - 25*c**2\/2 - 6*c + 142. Is 12 a factor of x(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10, -13, -20, -31, -46?\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1325 (base 9) in base 12?\nAnswer: 6ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i*i\/i**(-1\/7)))\/i*i**(-1\/2)*i)\/(i\/(i**(-1)*i))**(-14) assuming i is positive.\nAnswer: i**(173\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - -11) + -2 - (-3 + 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -17.5246 - 1.8374. Let k = c - 0.038. Round k to zero dps.\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16 - -8. Let v = f + 8. Solve 0 = -4*h - v*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a1a69a (base 11) to base 13.\nAnswer: -4551c9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 2*f = -k - 18, 5*k = 2*f + 27. Solve -k*x - 19 = -9 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**3 + u**2 + u + 1. Let o(p) = -p**2 + 67*p - 1123. Let b be o(33). Let a(g) = 9*g**3 + 5*g**2 + 10*g + 6. Determine b*a(d) + 6*s(d).\nAnswer: -3*d**3 + d**2 - 4*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/2, 0.9, 10?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -43 by -40988.\nAnswer: 43\/40988","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -521\/404 - -513\/202. Factor 0 + 25\/2*n + 15\/4*n**2 - 15\/2*n**3 + f*n**4.\nAnswer: 5*n*(n - 5)*(n - 2)*(n + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 5*s**2 - 2*s. Let p be k(1). Suppose -5*h + p*h = -6. What is the closest to -3 in -0.6, -1, h?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-58)\/(-1885)*(34 - (-408)\/(-17))\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**2 - 6. Let i(a) = a**3 + 147*a**2 - 446*a + 604. Let o be i(-150). Give f(o).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the first derivative of -r**4\/4 - 2*r**3 - 8*r**2 - 34*r + 1539. Determine d(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand -9*a**3 + 28*a**3 - 7*a**3 + (0*a - 2*a**2 + 0*a)*(2*a + 0*a - 3*a) - 1693786*a - 988*a**3 + 1693786*a.\nAnswer: -974*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -283 - -277.996. Let t = -0.004 - i. Put -4, 0, 5\/3, t in descending order.\nAnswer: t, 5\/3, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 896 and 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(4*(sqrt(22) - sqrt(88)\/sqrt(4)*3))\/(sqrt(126)\/sqrt(7)*-2)*-3 + -1.\nAnswer: -1 + 24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*f + 60 = -55*f + 28*f - 120 for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + 7 = 4*m, -5*b - 19*m + 21*m = 10*b - 10*b + 17 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110021102023 (base 4) to base 9.\nAnswer: 10838034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*l - 76 = 8*l - 4*d, 12*l + 28 = 13*l + 4*d for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3618417.\nAnswer: 3, 11, 19, 29, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 minus -0.0021?\nAnswer: -4.9979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from ddoo?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 + 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -5 (b) -31575 (c) 118 (d) -0.5 (e) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 80\/1159 - 1\/61. What is the closest to -2 in 2\/3, 2\/9, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (-1 - (-3 - 2)) - 9.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/(27\/3))\/(4\/(-18))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 23462720 and 3264?\nAnswer: 1088","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3356.04246 - -3356. Let h = 112.343 + -112.3. Let w = s + h. What is w rounded to four decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + 5. Let v(c) = -c**3 + 9*c**2 - 12*c + 12. Let k be v(w). Is (24\/k)\/((-4)\/10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -25.09 - -25. Round u to two dps.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 15.5494221 from -448910.\nAnswer: -448925.5494221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*m**4 - 191484*m**3 + 3055510188*m**2 - 16252258689972*m = 0. Calculate m.\nAnswer: 0, 15957","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -4*v + 26. Let r be j(-11). Suppose r*m = 67*m + 60. Let k(q) = 4*q - 16. Let x be k(5). Solve 2*p + m = -5*l, -x*l - 12 = -l - 2*p for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22*k - 1 + 50*k - 10*k + (-2 + 4 + 0)*(-4*k + 5*k + 0*k))*(-11 + 1 + 0).\nAnswer: -640*k + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g**5 + 23898*g**4 - 3073950*g**3 + 7282816*g**2 - 5439399*g + 1206630 = 0. What is g?\nAnswer: -4905, 2\/5, 1, 123","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the third derivative of c**5\/60 + c**4\/4 - 5*c**3\/6 - 2*c**2. Let i = 735 + -741. Calculate a(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4323010?\nAnswer: 2, 5, 432301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 6*(0 + sqrt(45)\/sqrt(36)).\nAnswer: -3 + 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 203 is divided by 55.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 39*n**2 - 77*n**2 + 38*n**2 - 9*n - 25*n**3 wrt n?\nAnswer: -150*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-6) - 42\/(-9). Suppose 0 = 2*j + c*g + 13 + 8, 0 = -j - 2*g - 8. Let z(m) = 4*m**2 - 2*m**j - 4*m**2. Let o(y) = -2*y**2. Calculate o(z(l)).\nAnswer: -8*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*t - 133 + 55 + 214 = -308 for t.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 81 + -81. Suppose -3*o - 3*i - 132 = r, 168 = -4*o + i + 3*i. Calculate the common denominator of 55\/6 and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1302*w + 407*w - 520*w as j*w + c and give j.\nAnswer: -1415","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*m - 73*m = 287. Let c(b) = 4*b**2 + 27*b - 11. What is c(m)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1\/3))**(-32)\/(r**(-1\/2))**(5\/9) assuming r is positive.\nAnswer: r**(197\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -211 - 2211011230?\nAnswer: -2211012101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**2\/3 - 1436*d - 458640.\nAnswer: -2*(d + 390)*(d + 1764)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - (-5 + 8)) + 7 - 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.218 - -0.058. Which is smaller: 0.2 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 212*f - 117*f + 3135 for f.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*n + 3*n = 0. Suppose 6*b - 41 = 4*b - 5*o, n = -2*o + 10. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 792.092 - 706.97. Let r = j - 0.122. Let t = r + -85.5. Put t, 3\/8, 0.3 in increasing order.\nAnswer: t, 0.3, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 203*t + 867. Determine u(-4).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 6*x**3 + 7*x**2 + 16*x - 5. Let i(y) = -4*y**3 - 9*y**2 - 16*y + 6. Calculate 4*i(o) + 5*r(o).\nAnswer: 14*o**3 - o**2 + 16*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 153 = 3*p, -5*p + 23*n = 17*n - 298. What is the highest common divisor of p and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1323415 - 1?\nAnswer: 1323414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11, -20, -35, -56?\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -72*l + 26915. Calculate m(374).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4041300 and 18?\nAnswer: 12123900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.07 (b) 0.1 (c) 9 (d) 18 (e) -3 (f) -5\/22 (g) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9643066 and 515.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1550860?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes before 1:09 AM?\nAnswer: 7:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and -10593965?\nAnswer: 10593965","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 1926*f**2 + 1401*f + 1. Let x(m) = 2*m**2 - 2*m + 1. Let v(p) = 2*i(p) - 2*x(p). What is the second derivative of v(b) wrt b?\nAnswer: 7696","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(1\/3))**(4\/5))**(2\/33) assuming p is positive.\nAnswer: p**(8\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-1)\/o**5)\/(o**(-1\/3))**(-28))\/(o**2\/((o\/o**(-4))\/o))**(-9) assuming o is positive.\nAnswer: o**(-100\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/2)\/((-4)\/(-18048)). Let j = x - 3206. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 12 = -4*i - 59, 5*z + 7 = i. Let w be i\/12 - 24503\/(-3). Let x = 4167 - w. Round x to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(18\/(-12))*2760\/(-240).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together -220020687 and -20.\nAnswer: -220020707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 15920*l**3 + 34346*l**2 + 2*l + 492035009?\nAnswer: 95520*l + 68692","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o**4\/7 - 20*o**3\/7 - 74*o**2\/7 - 52*o\/7 = 0.\nAnswer: -2, -1, 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -25245, -50834, -76423?\n\"Answer: -25589*g + 344","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0.02, 1\/16, 6 in decreasing order.\nAnswer: 6, 1\/16, 0.02, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 772643015 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.2558059ml?\nAnswer: 0.0002558059","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1947 and 9129?\nAnswer: 5924721","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the first derivative of -h**7\/210 - 2*h**3\/3 + 2*h**2 - 4. Let i(z) be the second derivative of o(z). What is the first derivative of i(l) wrt l?\nAnswer: -4*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1\/(-3))\/((-13)\/(-6)). Let d be (-92)\/1008 - 1\/4. Let k = d - -5\/42. Which is the closest to -1? (a) n (b) k (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 2*t)*(2*t - 7*t + 3 + 9*t - 3*t**2).\nAnswer: 6*t**3 - 8*t**2 - 6*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 136 and -3.\nAnswer: -408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 217814 by -16.\nAnswer: -108907\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-20)*30*(-5)\/40\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 1 l when three letters picked without replacement from {e: 2, l: 1, t: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -3*q + 5. Suppose 0 = 3*n + 6 - 0. Let b be -6*5\/(-15) + n. What is the units digit of f(b)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 - -4. Let q be (-16)\/(-6)*(3\/6 - -1). Suppose 0 = 2*v - 9*y + q*y + 9, 2*y = 6. Which is the closest to v? (a) n (b) 0.3 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 926 and 19909.\nAnswer: 463","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 3*n**2 + 8*n - 37. Suppose 6*s + 3*s = -45. Let r be (9\/s)\/((-15)\/50). What is the remainder when x(r) is divided by 30?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 14789*b + 13758*b + 6 - 3.\nAnswer: -1031*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve j = -3*z - 27, -5*z + 29241*j = 29263*j + 777 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 38893 to the nearest integer?\nAnswer: 197","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 4\/5, 3, 0.5, 4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-36)\/45*-5*-1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 160.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 862 a factor of 3091132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 3*k**2 + 9*k - 5*k - 4*k. Let j(y) = 8*y. Let q(f) = 3*f. Let l(t) = -4*j(t) + 11*q(t). What is l(a(r))?\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -z + 2*z + 4*n, -3*z + 15 = -4*n. Suppose -o + 5*q = -4 + 2, z*q = 3*o - 6. Which is the closest to 0? (a) 2\/5 (b) -5 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34718 is divided by 157?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 612 = -567. Let h = -246 - i. Calculate the highest common divisor of h and 343.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-260)\/6*(-2)\/16 and 6\/24*4 + (-57)\/(-14).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkbb when four letters picked without replacement from kbbbbkkkpbb?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from niil. What is prob of picking 1 i and 1 n?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32\/288 + 1\/(18\/16).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-4)*-538 + 5. Let k = 394 - t. Does 13 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 164, 158, 140, 110?\n\"Answer: -6*n**2 + 12*n + 158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*v**4 + 7*v**2 + v - 3*v**4 - v**4 + 0*v**4 - 818619 + 818611 as u*v + z*v**4 + k*v**3 + i + r*v**2 and give i.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -p - 7. Let o be (437500\/p)\/((-2)\/640). What is o rounded to the nearest 1000000?\nAnswer: -18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00198 rounded to 4 dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 + 0)*(2 - -3). Let f(z) = 8*z - 5. Let h(s) = 44*s - 28. Suppose 8*w + 421 = -187. Let v = 104 + w. Calculate u*h(k) + v*f(k).\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -39*l**3 + 2*l + 3*l**4 - l**3 - 1 + 41*l**3 - 12*l**2 in the form n*l**2 + y + k*l + c*l**3 + a*l**4 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 30*i + 2.\nAnswer: -30*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -932\/9 <= -104?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19, -8, 3, 14, 25?\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**0)**20)**(-2\/39) assuming j is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 15 = 3. Suppose 3*f = 4*r - 51, 7*f + 2*r - 17 = 8*f. Is f bigger than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1990?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3257*x + 940 with respect to x.\nAnswer: -3257","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -7 - 4 + 2 - q**2 + 8. Let a(u) be the first derivative of -u**4\/2 + 2*u**3 + 6*u - 1. Let z(r) = a(r) + 6*w(r). Factor z(h).\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1076455.5 months?\nAnswer: 89704.625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -1 (b) 38 (c) 3 (d) 0.1 (e) -2\/5 (f) -0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + (6*(-2 + sqrt(2268)) - (sqrt(2268) - (sqrt(2268) - (sqrt(2268) + 0) - sqrt(2268) - sqrt(2268)))*3))*2)**2.\nAnswer: 3456*sqrt(7) + 81904","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*((-3 - -9) + -1) - -8.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 272636052?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -462e6 (base 15) to base 12.\nAnswer: -a9360","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -101.8138 to the nearest ten.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 165 + -163. Let h(t) = -3*t**2 + 4*t**2 - t**2 - 4*t**g. Let u(j) = -13*j**2. What is h(u(r))?\nAnswer: -676*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/14 of a week in minutes?\nAnswer: 7920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 287763 - 0?\nAnswer: 287763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*q**2 - 2*q**2 + 2*q**2 + 3*q**2.\nAnswer: 7*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4097?\nAnswer: 17, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + h - 4 = 0, 3*m - 13 = -6*h + h for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c*c**(-2\/17)*c*c*c*c*c*c**(-7)*c*(((c\/(c\/((c\/(((c\/(((((c**6*c)\/c)\/c)\/c)\/c))\/c)\/c))\/c)))\/c)\/c)\/(c*c**(-1\/2)) assuming c is positive.\nAnswer: c**(81\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -48*i - 4. Let b(r) = 29*r + 2. Let m(c) = -7*b(c) - 4*w(c). Let g(x) = -5*x + 1. Give -5*g(z) + 3*m(z).\nAnswer: -8*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*k - 55 = 45*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2401) - (sqrt(2401) - sqrt(2401)*-1))*5)\/(sqrt(84)\/(3*sqrt(12)*4)).\nAnswer: -420*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1849 (base 12) in base 13?\nAnswer: -144c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 469425\/29 and 16186 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13862729.\nAnswer: 89, 109, 1429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes before 4:32 AM?\nAnswer: 1:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m**2 + 0*m**2 + 0*m**2)*(0*m - 3*m + 2*m) - 2*m**3 + 9*m**2 - 9*m**2.\nAnswer: -5*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3*(24\/9 - 2). Let s(c) = c**3 + 3*c**2 + 3*c + 1. Let d be s(3). Suppose k + d = i*k. Is k a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 9\/6 + 0 - (-9)\/6. Suppose h*x = 6*x - 249. Let s = -51 + x. Does 8 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1359.068 + -1366. Let h = b + 7. Let s = 0.041 - h. Round s to two decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19 - -19. Suppose -2*p + 1 = 3*h, -3*p - 26 = -j*p - h. Put p, 4, 2 in decreasing order.\nAnswer: 4, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.04 times 1\nAnswer: 2.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1999 (base 11) to base 14.\nAnswer: cc8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-7)\/(-2) - (-10)\/(-20). Suppose 4*t + 37 = j, r*j = j + 2*t + 44. What are the prime factors of j?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 220 = 4*n, 55*d - 50*d = n - 36. What is the lowest common multiple of 224 and n?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53707 (base 8) in base 12?\nAnswer: 11007","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 210309, 210310, 210311?\nAnswer: 210312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -5*(0 + sqrt(2)*2))**2.\nAnswer: -80*sqrt(2) + 216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1399*r - 5669 = 1326 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.45 - 0.7. Let d = 0.6 - o. Let f = d - 0.25. What is the nearest to 0.5 in -1\/2, -3, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w. Let y(z) be the second derivative of -3*z**3 + 19*z. Determine y(n(a)).\nAnswer: 18*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6*(-1)\/8 - 381252\/(-48). What is the highest common divisor of 38 and w?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 5*w**4 + 625*w**3 + 2965*w**2 - 216805*w - 1889550 = 0.\nAnswer: -117, -17, -10, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f**3\/3 - f**2\/3 - 4*f\/3 + 4\/3 = 0. Calculate f.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -160*x**3 + 50875*x**2 - 49130*x - 1585 = 0?\nAnswer: -1\/32, 1, 317","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(2\/7))**3)**(-16\/3)\/(m**(-1\/7)*m**(1\/3)*(m*m*m**6*m)\/((m\/(m*(m\/m**3)\/m))\/m*m)) assuming m is positive.\nAnswer: m**(-226\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.6 - -3. Which is the nearest to 0.1? (a) -2\/13 (b) 0.5 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 - 8*o**2 + 6*o + 11. Let w be s(7). What is the third biggest value in 0.2, w, -0.2, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 4*i**3 - 3*i**2 + 2*i - 2. Suppose 2*h - 6 = 4*s, -20 = -5*h - 2*s + 7. Suppose 2*u = -2*u + h*v - 2, -v = u - 4. Is k(u) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.236 rounded to 1 dp?\nAnswer: -13.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(22)\/sqrt(2) + -4 - (sqrt(176) + -1 + sqrt(176)) - sqrt(1584)*-2)**2.\nAnswer: -102*sqrt(11) + 3188","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 284696 is divided by 141592.\nAnswer: 1512","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -33434010 - 2?\nAnswer: -33434012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 314939 and 46.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 49 and 368039?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4331394715 take away -1.87?\nAnswer: 4331394716.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -43.1 times 5\nAnswer: -215.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0576 * -16.46.\nAnswer: 0.948096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 432021244 (base 5) to base 3.\nAnswer: 10102221201000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - 14 = t, 3*w - 5*w + 26 = -4*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -2*a**3 + 1144*a**2 + 241462*a + 3963996 = 0.\nAnswer: -149, -18, 739","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*r**5 - 9*r**5 - 2*r**5 + (-4*r**2 + r**2 + 2*r**2)*(9 - 9 - 13*r**3) - 2*r**2 + 2*r**2 + r**5.\nAnswer: 9*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -101010110110110011 (base 2) in base 4?\nAnswer: -222312303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*i + 184 = -299 - 33 for i.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 552735 and 5244495.\nAnswer: 2595","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 70 - 30. Let r = b + -38. Calculate the greatest common factor of r and 22.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**3 + 37*o**2 - 78*o - 168. What is the lowest common multiple of d(34) and 648?\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11143*y + 10801*y - 1026 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 8*c**2 + 1. Let u = 8 - 4. Suppose -u*h + h = -3. Is 4 a factor of o(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 568\/5 - 1169\/10. Calculate the common denominator of z and 1407\/(-28)*(-2)\/18.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -4 + 1 - h**2 + 6*h + 1. Is 3 a factor of s(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2068, -4145, -6222, -8299, -10376?\n\"Answer: -2077*j + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes after 5:52 PM?\nAnswer: 8:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than or equal to -15\/104?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 232722 divided by 111\nAnswer: 77574\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 206 and 425699?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = -4*b + x, 2*b = x - 1623 + 1630 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5075 - 25380 = -5*j. Let t = -1768 + j. Let y = t + -1450. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (35 - (5 + -5 + 4 - -1)).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 350 and 2550?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2974936, 5949877, 8924818, 11899759, 14874700, 17849641?\n\"Answer: 2974941*f - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 140\/3*(-21)\/14. Let q be ((-15)\/w)\/((-12)\/(-14)). What is g in 0 - 1\/4*g**4 + 0*g + 1\/4*g**2 - 1\/4*g**3 + q*g**5 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -3*w**4 - 99*w**3 + 1062*w**2 - 2976*w + 2016 = 0.\nAnswer: -42, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**3 + k**2 - 65*k - 45. Calculate h(8).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12430559?\nAnswer: 12430559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 410 divide 16555800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -48299, -47976, -47653, -47330, -47007?\nAnswer: -46684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 8115?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16\/37 + -70\/333. Factor -d*b**2 - 2\/9*b**3 + 0 + 4\/9*b.\nAnswer: -2*b*(b - 1)*(b + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -284 divided by -2\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -432, -1720, -3850, -6822?\n\"Answer: -421*p**2 - 25*p + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24337828?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y = 2*z - 8, 0 = -3*y + 14*z - 10*z - 26 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5.65 + 5. Let q = j - -0.01. Let n = -0.14 - q. What is the second biggest value in n, 5, -5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.43 - -0.13. Let w = 6725 + -6730. Which is the biggest value? (a) w (b) 2\/9 (c) k (d) -98\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 977 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 472?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a microgram in nanograms?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(154) + -4*(-2*sqrt(154) + sqrt(154)) + sqrt(154))\/sqrt(11))\/((-5*sqrt(16)*1)\/(sqrt(8) + sqrt(8) + sqrt(8)*1*4)).\nAnswer: -144*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -2*g**3 - 4*g**2 + 5*g - 4. Give r(3).\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -133212 (base 4) in base 3?\nAnswer: -2202220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-19 - -24) + -16 - (-15 - 3) - 34?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*v**4 - 2999440*v**3 - 562218028432*v**2 + 26991648618240*v - 323920516875264 = 0. Calculate v.\nAnswer: -374954, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1, 2\/15, 56?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 350 = 2*v + 2*k, 3*v + 169 = 4*v + 3*k. What is the lowest common multiple of v and 7?\nAnswer: 1246","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 87 + -33. Let j(k) = -k**2 + 14*k + 1. Let i(q) = 3*q**2 - 41*q - 2. Let d(c) = -3*i(c) - 8*j(c). Calculate the smallest common multiple of u and d(8).\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -3*h**2 + 74*h + 32. What is o(25)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 232 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 89208190?\nAnswer: 2, 5, 73, 122203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2353761390.\nAnswer: 2, 3, 5, 107, 397, 1847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*p - 2*p - 2*p)*(0*p + 0*p + 2*p**2) + 3*p**3 - 4*p**3 + 2*p**3.\nAnswer: -15*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*i**2 - 4*i**2 - 3*i**2 + 2*i**2.\nAnswer: -10*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -2 - (-30 - (-6 - -3))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 685633648 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -34*j + 452 - 266 + 120 for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 13*f. Let v be 11\/((-22)\/(-24))*(-2)\/(-6). Let t be w(v). Calculate the remainder when 11 is divided by (-23)\/(-5) + (3 - t\/20).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3711, 3744, 3777, 3810?\nAnswer: 3843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*k + 8 + 4 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2451831 to the power of 1\/2, to the nearest integer?\nAnswer: 1566","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -188 - -202. Suppose 14 = -2*p + 34. Suppose -19*h + p = -c*h. Solve l + l = 2*b + h, -4*l + 5*b = -7 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/150 and -37\/114.\nAnswer: 2850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 690 and 18264?\nAnswer: 2100360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 24014 = 24014?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -69*x + 2738. Determine d(39).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -114955 (base 13) in base 8?\nAnswer: -1441171","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 86705?\nAnswer: 5, 17341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*i - 11*i - 432 = -30*i + 5*i for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n\/n**(-2)))**(-5\/13)*n**3*n*n*n**3 assuming n is positive.\nAnswer: n**(114\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**3 + 3*x**2 + 38*x + 26. Let k be f(8). Solve -2*a + k = 20, -4*a - 38 = 6*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1095 + 615. Let r be 20\/6*(-64)\/x. Factor 8\/9*k**2 + 2\/9*k**3 + 10\/9*k + r.\nAnswer: 2*(k + 1)**2*(k + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9316379 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -g + 4*k, -53*k + 51*k = 5*g + 25 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 59\/4 of a litre in millilitres?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 291, 511, 727, 939, 1147, 1351?\nAnswer: 1551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, j: 11}. Give prob of picking 2 q.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -216 - 16.\nAnswer: -232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -685*z**2. Let v(g) = -22*g. Give v(y(o)).\nAnswer: 15070*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2460 by 492.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(2) - sqrt(200)*2) - 6*(sqrt(8)*3 + sqrt(2)))**2.\nAnswer: 37538","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-6)\/f**39 assuming f is positive.\nAnswer: f**(-45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18747*l**3 - 47 + 47.\nAnswer: 18747*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 15*c**3 - 408*c**2 + 81*c + 58. Give g(27).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -42 + (-6 + 4 + -4 - (31 - 31))\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*h + 122098 = 120499. Let c be (-3)\/(-2 + 10\/8). Suppose -i = 3*i + 4*n - 20, c*i = -n + 23. What is the remainder when h is divided by i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*h**3 - 6*h**3 + 5*h**3)*(38 - 10 + 36)*(-4*h - 4 + 4) to the form f*h**3 + q*h**2 + x + l*h**4 + p*h and give l.\nAnswer: 768","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (41 - 43) + -1 + 72 + 17?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 - 11. Let t be (2\/8)\/(r\/(-48)). Suppose 96 = 3*w - 5*z, -5*w - t*z = -25 - 101. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -34, -24, -14, -4, 6?\n\"Answer: 10*b - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 122 = 5*c, -3*o + 0*c + 2*c = 157. Let j = o - -269. Is 14 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 + (4 - 1) - 0) + -7\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 p when two letters picked without replacement from {r: 1, w: 3, k: 5, p: 3, o: 1}?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 91482 and 3.\nAnswer: 91482","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -5*n - 4. Let x be k(-8). Suppose f = 3*l - 24, 3*l - 3*f - x = 2*f. Let u be (l + 3)\/(-1 - 1). Let y(o) = -o - 9. Give y(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 13 + 10 = 0. Sort 4, 0, v.\nAnswer: v, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 4*p + 57 = -g, -5*g - 33 = 4*p. Calculate the remainder when 70 is divided by 60\/2*p\/(-15).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 25 and 5.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -4999.784 rounded to the nearest integer?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*v + 48*v = -276 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the third derivative of u**5\/60 - 5*u**4\/24 + 7*u**3\/6 - 2*u**2. Let b = -30079 + 30087. Determine x(b).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 4*w = 24, -2*s = -s - w. Suppose 3*n - 10 = 2*t, 3*t = 2*n + 3*n - 16. Let p be 182\/35 - t\/(-10). Put 1, s, p in decreasing order.\nAnswer: p, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:11 PM and 12:21 AM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -23\/5 in 7.2, -0.16, 0.9?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17072 by 176.\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 to the power of 1\/2, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-3)\/10)\/(-1))\/(6\/5)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 1557, 4, -3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 918 and 3299751?\nAnswer: 459","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4 + -12 - 1 - -9. Let t(s) be the second derivative of x + 1\/2*s**2 - 18*s - 1\/3*s**3. Give t(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 4 + 7 = 0, -4*y + 2 = -2*p. Sort -15, -3, y, -4 in descending order.\nAnswer: y, -3, -4, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 43500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (-7 - (-5 - -4))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 610805673.\nAnswer: 3, 19, 73, 167, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10*((-111)\/148)\/(1*2\/(-4)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 2 b, and 1 x when four letters picked without replacement from cbcxfcbcacjbf?\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 39.80179ml in litres?\nAnswer: 0.03980179","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ngnnnndgd. Give prob of picking 1 d and 1 n.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 934.5051 hours?\nAnswer: 3364218360000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1210121110002112121 + 2?\nAnswer: 1210121110002112200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-7) + 174\/(-21). Let a = -14 - -9. Let p = a - h. Solve -10 = -p*z - 2*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = 6909 + 3959. Let s = 6983 - h. Round s to the nearest 1000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -34219966.18086 - -0.5?\nAnswer: -34219965.68086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -17*x**3 + 62*x**2 - 4*x - 17. Let w(v) = -15*v**3 + 62*v**2 - 3*v - 12. What is -3*n(b) + 4*w(b)?\nAnswer: -9*b**3 + 62*b**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1598528*f**3*r - 18*f**2*r - 381*f*r - 93923*r wrt f.\nAnswer: -9591168*f*r - 36*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 61*234.\nAnswer: 14274","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 12) in base 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13 - -23. Suppose -w = -p - 2. Suppose -29 = -3*s - p. Solve -4*c - 3*m = -14 - 3, -s = -5*c + m for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6498070?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the first derivative of -p**3\/3 + 3*p**2 - 3*p - 3. Let z be u(6). Let l = -1 - z. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + 3. Let a = t + -0.5. Suppose 4 = -4*y + 4*s, y + 5*s = 32 - 9. What is the biggest value in a, y, -2\/11?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5588900567 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 - (0 - 2) - (22046 + -22138)?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 4) in base 2?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 62920 - 62189.86. Let p = g - 724. Let x = -6 + p. What is x rounded to one dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 - -8 - 5 - -12.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 107 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/((16269\/58)\/51)?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -26 + 123 + -46 + -69.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i - 11. Determine o(14).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8719090 and 63323.\nAnswer: 4871","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2202, -4230, -6262, -8298?\n\"Answer: -2*j**2 - 2022*j - 178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m = 5*t + 7, -6*t - 7 - 10 = -12*t + 10*t + 9*m for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 133892?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*a = -18*a - 153 - 107 for a.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 60 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*f**2 - 6*f**2 + 9*f**2)*(-7*f**2 + f - f) + 0*f**3 - f**4 + 0*f**3 to c*f**4 + m + h*f**2 + x*f + s*f**3 and give c.\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**2 + 3*j + 6. Let s be c(5). Let m = s - -8. Factor x**2 - 3*x**4 - x**3 - x**3 + 4*x**m + 0*x**2.\nAnswer: x**2*(x - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3\/2, 0, -3\/7, -1\/13, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -208227 = -32*t + 116285. Suppose 6*i - t = 3605. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**2 - 2*g + 2. Let r be v(0). Suppose -186 = r*h - 4*h. List the prime factors of h.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1490 - 1554. Which is the nearest to -2\/7? (a) p (b) 0.3 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8012*1.87\nAnswer: -14982.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 241699, 242099, 242499, 242899?\nAnswer: 243299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 m, and 1 y when three letters picked without replacement from {m: 1, y: 4, o: 4, e: 2, n: 8}.\nAnswer: 32\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 571 + 4780. Suppose -5*z + 3*i = -8911, z - 4*i - x = -2*z. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -12\/4981, 181, -1?\nAnswer: 181","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 379*l - 7182. Calculate d(19).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - y - 4, 0 = -j + 4*y - 111 + 102. Let b be ((-2320)\/j)\/8 + -3. Let w = 17 - 7. What is the greatest common divisor of w and b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 - -4 - 3) + 104*388\/96. Do w and 419 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -58, -120, -184, -250, -318?\n\"Answer: -f**2 - 59*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2349 or -2348?\nAnswer: -2348","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes after 7:55 PM?\nAnswer: 7:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + 1325 = -2*q + 1218, -q - 2*d = 3*q + 66 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*p + 23*v = 21*v + 86, 0*p - 4 = 2*p - 5*v + 67 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -31.9 - -10. Let k = l - -22.1. What is the third smallest value in 2\/3, k, -0.3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 140*x**3 + 8*x**2 + 4*x + 3. Let m(d) = 279*d**3 + 19*d**2 + 9*d + 7. Calculate 2*m(f) - 5*s(f).\nAnswer: -142*f**3 - 2*f**2 - 2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2, -49, -198, -493, -982, -1713?\n\"Answer: -8*m**3 - m**2 + 8*m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 2*b - 22281. Let v(x) = 2*x. What is h(v(d))?\nAnswer: 4*d - 22281","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 21 and 48628622?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/50 of a kilogram?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 1964*t - 2*t**2 + 3*t**2 - 1964*t. Let l(j) = -3*j**2 - 2. Suppose 0*k - 30 = -5*k. Determine k*f(v) + l(v).\nAnswer: 3*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3688223*o**2 - 5901234*o**2 + 16579544*o**2 + 60827776*o**2.\nAnswer: 75194309*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 238*i**3 + 4*i**2 + 4*i - 4. Let a(c) = -4522*c**3 - 77*c**2 - 77*c + 77. What is 4*a(h) + 77*o(h)?\nAnswer: 238*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the second derivative of 5*l**6\/3 - 7*l**5\/8 - 55*l**4\/24 - 5*l**3\/6 - 6*l - 4. Solve j(g) = 0.\nAnswer: -2\/5, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15 - -14. Let o(f) = f**3 - 5*f**2 - 2*f - 8. Let a be o(6). Suppose 2*y + k = 1 + 10, 0 = 2*y + 2*k - a. Put y, 5, i in descending order.\nAnswer: 5, y, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -2*l + 7. Let f be (-9 - -9)\/(l\/(-1)). Solve f*k + 9 = -3*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 38\/361 - 207\/(-19) and 505?\nAnswer: 5555","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((-1 + sqrt(128) + 4 - sqrt(128) - sqrt(128)) + sqrt(128) - (1 + -1 + sqrt(128)))**2.\nAnswer: -48*sqrt(2) + 136","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ywy when three letters picked without replacement from {w: 5, j: 2, y: 2}.\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -70.3 - 0.7. Let v = u + 70.9949. Round v to 3 decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*j**3 + 99811 + 75*j - 99810 - 10*j**3 - j**4 + 4*j**3 - 3*j**2 to d*j**4 + z + w*j + t*j**2 + h*j**3 and give w.\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/1 - 0\/(-5). Let i = 2 + j. Solve 6*p - 31 = 5*f + 2*p, 4*f + 28 = i*p for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(200) - sqrt(200)*5)*2 - ((sqrt(2) - sqrt(450)\/sqrt(9)) + 4))**2.\nAnswer: 608*sqrt(2) + 11568","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v*v**4*v)\/v*v)\/v**9)\/(v**(-2)\/v)**(-2))\/((v\/(v*v**(2\/5)))**(2\/3)\/(v*v**(-2\/9)*((v*v**5)\/v)\/v)) assuming v is positive.\nAnswer: v**(-178\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 7*h - 1. Let o be (-2 + (-5)\/(-2))*2. List the prime factors of z(o).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8 and 36.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 189 = -21. Suppose -2*q - 2*n = 3*n - 60, 115 = 3*q - 5*n. Suppose 3*k + q = 98. What is the highest common factor of i and k?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 + 3 + -13 + -2 + 7\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 105, 38, -145, -498, -1075, -1930, -3117?\nAnswer: -4690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1051, -1097, -1177, -1291, -1439?\nAnswer: -1621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**2 + 98*c + 3880. Determine h(-30).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30 and 58665.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2189 a factor of 96460666?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-110)\/6930)\/((-3)\/(-18)).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.165 - -0.465. What is the second biggest value in h, 0.5, -43, -4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40259 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 3*c - c + n, -12 = -c - 3*n. Calculate the remainder when 33 is divided by c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4359?\nAnswer: 3, 1453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -10*u**3 + 6*u**2 - 5*u + 5. Let y(g) = 15*g**3 - 9*g**2 + 7*g - 7. What is -7*m(z) - 5*y(z)?\nAnswer: -5*z**3 + 3*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 6, k: 12}. What is prob of picking 1 b and 2 k?\nAnswer: 33\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence szuz when four letters picked without replacement from izzziizuspz.\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(1\/(-9) - 0). Suppose -g*v = 2248 - 11761. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 4 + -43 + -2 + 25 + -653 + 621\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 203*l**2 - 29*l + 4. Is h(-7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 5 - 30. Sort z, -1, 4 in ascending order.\nAnswer: -1, 4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 28 = t. Let o = 12 - t. What is the tens digit of ((-126)\/(-35))\/(1\/o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 15 - 38 + 12 - k + 9 - k**2 in the form x*k**2 + u + g*k and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/1 - (0 - 8). Solve 0 = 3*x + 4*u - 1, 0*u - 25 = x - j*u for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12039161 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4 + 4\/(-1) + 5. Suppose 3*u - 18 = 2*m - l*m, 0 = 4*m + 2*u - 26. Let h(x) = 11*x + 8. What is the remainder when h(m) is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 9*m + 49. Let y be h(-7). Let r be (-150)\/y - 46\/(-161). Sort 0, r, 3 in ascending order.\nAnswer: 0, 3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + 50 = -5*s, -4133 = -5*s - 4188 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*o - 10 - 2. Solve 0*w = -w + o for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 3*a - 1. Let y be w(7). Calculate the highest common divisor of y and 160.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7788 and 30?\nAnswer: 38940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16*y + 15*y**2 + 42*y - 16*y - 5*y**4.\nAnswer: -5*y*(y - 2)*(y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 874217 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - q = 2*g + 6, -q - 4*g = 2. Solve q = 3*d + 8 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/8*6 + 46. Let x = a - 71. Let h = 103 - x. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1491*y + 1476*y = -39 + 159 for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24*n**5 - 1198*n**2 + 1198*n**2)*(-5 + 2 + 1).\nAnswer: 48*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 1825 = -4*s - s, 4*s + 4*l = 1436. Calculate the remainder when s is divided by 198.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -5*b**2 + 0*b**3 + 3*b - 4*b**3 + 3*b**3 - 4*b - 5*b. Give r(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 965 - 975. Sort 3, 1, l, -197 in ascending order.\nAnswer: -197, l, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 35492046 and 18?\nAnswer: 106476138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gdhzdlad. What is prob of sequence lgd?\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s - 4*s + 5*s)*(2 - s - 2)*(-s + s - 2*s)*(-3 + 3 - s).\nAnswer: -6*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-10)\/6)\/((-4)\/12). Let p = t + -7. What is the remainder when 17 is divided by ((-1)\/2)\/(p\/24)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u - 64 + 69 = -y, -2*y = 2*u + 10 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14686 is divided by 1528?\nAnswer: 934","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3031, -3013, -2985, -2947, -2899, -2841?\nAnswer: -2773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28562521?\nAnswer: 13, 169009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**4 - 707024*a**3 - 55542705624*a**2 - 1454465974907520*a - 969619297834224.\nAnswer: -(a + 78558)**3*(3*a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 1, -6, -2\/583 in descending order.\nAnswer: 8, 1, -2\/583, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -154 (base 14) to base 3.\nAnswer: -101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is r in r**4\/3 - 149*r**3\/3 + 1343*r**2 + 123421*r\/3 - 261782\/3 = 0?\nAnswer: -19, 2, 83","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 3*s = -5, -f + 0*f = 4*s - 22. Solve 0 = 3*w + 2*w - 4*p - 45, -2*w - f*p = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -4*y**2 + 1308. Let d(t) = t**2. Calculate d(m(k)).\nAnswer: 16*k**4 - 10464*k**2 + 1710864","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -43, 2, -3\/19, -1\/4 in descending order.\nAnswer: 2, -3\/19, -1\/4, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.0013 + -41.7013. Let w = -41.25 - f. Is 1 >= w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 - 39 = 35*w + 164 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 45439 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -643341 (base 9) to base 12.\nAnswer: -165791","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the second derivative of -u**8\/112 + u**7\/70 + u**6\/8 + 3*u**5\/20 + 15*u**2 - u. Let o(f) be the first derivative of i(f). Solve o(c) = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 31 + 11. What is the highest common factor of c and 56?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*b - 5*g + 14, 0*g + 5*g = -5*b + 15 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -2*i**2 + i + 8. Give y(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -146400*y**3 - y - 5. Suppose 5*l + 16 = -9. Let x be j(l). What is x rounded to the nearest one million?\nAnswer: 18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*g + 9656 = 130*g + 222*g + 944 for g.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 5*d**2 + 4*d - 4. Let m = 6 + -3. Let c(g) = -7*g**2 - 5*g + 5. Let o(v) = -71*v - 67. Let u be o(-1). Let s(i) = m*c(i) + u*f(i). Calculate s(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-8) + (-2)\/8. Suppose y = l - 4*l + 9. Suppose 58 = l*q - 2. What is the least common multiple of 16 and q?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.06758033 to three decimal places.\nAnswer: 0.068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 59*p - 2221. Determine k(39).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the second derivative of -11*v**3\/6 - v**2 + 2*v. Suppose 0 = 146*q - 144*q - 26. Let c(a) = 21*a - 4*a - q + 16. Give -5*c(b) - 8*k(b).\nAnswer: 3*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 2*t**2 + 2*t. Let o be z(2). Let g = o + 0. Suppose -g*m + 7*m + 10 = 0. Solve -m*q = -q + 4 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 * -6.3\nAnswer: 12.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the first derivative of 0*y**5 + 12 - 7\/6*y**6 + 5\/4*y**4 + 0*y + 0*y**3 - 77\/2*y**2. What is the second derivative of o(j) wrt j?\nAnswer: -140*j**3 + 30*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2619, 5211, 7755, 10233, 12627?\n\"Answer: -3*t**3 - 6*t**2 + 2631*t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -228477, -228497, -228517, -228537, -228557, -228577?\nAnswer: -228597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 < 83?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 264 and 108?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c + 10. Let b be t(10). Suppose b = -5*p - 20 + 5. Let k be (-2)\/p + (-117616)\/24. What is k rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 187 times 0.2\nAnswer: 37.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -2*r**2. Let t(i) be the second derivative of i**5\/15 - i**2 - i. Let g(m) be the first derivative of t(m). Determine g(h(j)).\nAnswer: 16*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2772*j*m - 73*m + 2 wrt j.\nAnswer: 2772*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 186 and 207.\nAnswer: 12834","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 497644907 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*z**(2\/71))*z*z**(4\/13)*z)**(5\/3) assuming z is positive.\nAnswer: z**(10520\/2769)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**2. Let z(b) = -b**2 - 2*b - 1. Suppose -2*k + 3*u = -372, 2*k + 46 - 426 = u. Let r = k + -193. Calculate r*z(i) + 3*d(i).\nAnswer: -2*i**2 + 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 63\/8 - 331\/40. Which is the nearest to 0? (a) 4 (b) h (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + g + 81 = 0, i - 5*g = -3*i + 48. Let c = i - -58. Suppose -4*z + 4*d + 60 = 0, -5*z + 0*z + c = 3*d. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 7110*s**2 + 3. Let i(x) = 2*x. Determine i(l(u)).\nAnswer: 14220*u**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, 102, -1\/4, 3\/1303 in decreasing order.\nAnswer: 102, 3\/1303, -1\/5, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 66.1999172 to zero decimal places.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, u: 1, m: 2, a: 1}. What is prob of sequence ma?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 5, q: 3, h: 2, k: 7}. Give prob of picking 1 h, 1 k, and 2 i.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 247193 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 1*sqrt(12)*3 - (sqrt(1452) + 3 - sqrt(1452))*-2)**2.\nAnswer: 12*sqrt(3) + 109","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes before 1:06 AM?\nAnswer: 5:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(((-1)\/(-1))\/6))\/((-85338)\/(-62064))?\nAnswer: 48\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -8 divided by -6\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -216, -436, -630, -786, -892, -936, -906?\n\"Answer: 2*v**3 + v**2 - 237*v + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 28\/57387 and 16\/141.\nAnswer: 57387","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**3 + 481*p**2 - 18065*p + 182. What is m(35)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 10002200 (base 3) to base 13\nAnswer: 104a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 679 and 335277299.\nAnswer: 679","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24068, 24166, 24316, 24518, 24772, 25078?\nAnswer: 25436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 6039972 * -0.7\nAnswer: -4227980.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -28*n**2. Let w = 307 + -76. Let s(i) = -w + 231 + 3*i. What is a(s(h))?\nAnswer: -252*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-39)\/18 + 2)\/(2\/(-4)). Sort u, 1\/9, 2, -1\/6 in descending order.\nAnswer: 2, u, 1\/9, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 5*m = -305, -3*c - 4*m + 6 = -184. Suppose 0*o = -2*o + c. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 85 by -136195.\nAnswer: -17\/27239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -306*a**2 - 4297 - 921 + 33 + 2862*a**2 wrt a.\nAnswer: 5112*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 471 is divided by 165?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -55 + (-9 - -14 - 2 - (-2)\/(2\/5))?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1aa1 (base 11) in base 5?\nAnswer: -41102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 83677.74g?\nAnswer: 0.08367774","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14424.9 centuries to years.\nAnswer: 1442490","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -35 - 3435?\nAnswer: -3514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/3*31\/((-930)\/36).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n - 5*k - 26, -5*n + 5*k = -0*k - 35. Solve -8*w = -n*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -31 - 7. Let o = z + -13. Suppose 0*h = 5*h. Solve h = -c - 3*k - o, -4*c + 3*k = -6 - 15 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -390*w + 346*w - 52858 + 180722. Is 45 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -651 - -259. Let a = u + 542. Does 15 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 16*r. Let w(x) = x**3 - 22*x**2 + 41*x + 19. Let n be w(20). Let d(v) = -21*v + n*v - 14*v. Give d(f(m)).\nAnswer: 64*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 31113?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 342 times -0.096\nAnswer: -32.832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 2*q, -t - 4 + 0 = -3*q. Find the second derivative of 3*r + 0*r**2 - t*r**2 - 2*r**2 wrt r.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -27, -4, 90 in descending order.\nAnswer: 90, 2, -4, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6478931 or -6478946?\nAnswer: -6478946","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5919\/29 or 78?\nAnswer: -5919\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**2 + l - 1. Let t be s(2). Suppose -237 = -t*p + 18. Let n be 3\/((-1)\/2 - p\/(-66)). Let g(j) = -j + 1. Let o(z) = 5*z - 4. Give n*g(h) + 2*o(h).\nAnswer: -h + 3","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 6*a = -20. Let d be (-12197 - (-1 + a))*-5. Round d to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 236625, 473249, 709873, 946497, 1183121, 1419745?\n\"Answer: 236624*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - (-9 + -6) - -25 - -3?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 83 and 15853.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 + -5.5. Let y = -0.48 + h. Let w = 1\/9381 + -18767\/46905. Which is the closest to w? (a) y (b) 4 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -37, -2\/11 in ascending order.\nAnswer: -37, -2\/11, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 - (-295)\/60 - (-1 - -6). Put 2, -1\/4, n in decreasing order.\nAnswer: 2, n, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 2*t**3 - t**2 - 2*t + 3. Let m(u) = -5*u**3 + 3*u**2 + 6*u - 8. Suppose -2*x - 24 = 3*k, -32 = 4*k - 27*x + 23*x. Determine k*d(p) - 3*m(p).\nAnswer: -p**3 - p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 5*v + 29 = 0, 2*i + 18 - 5 = -3*v. Suppose 2*d - i = d. Let a be (-211)\/11 - 2*2\/(-22). Which is smaller: d or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2282872137*i**2 + i**3 + 2282872137*i**2.\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -769\/3 - -5378\/21. Let m = 2\/21 + c. Is -1 >= m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*l - 32*l**3 + 3*l - 10 - 4*l - 3*l wrt l.\nAnswer: -192*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 3*k = 40, -4*z + 13 + 2 = k. What is the least common multiple of 2 and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the third derivative of 0*w**3 + 1\/420*w**6 + 52*w**2 - 1\/7*w**4 - 11\/210*w**5 + 0*w + 0. Factor m(y).\nAnswer: 2*y*(y - 12)*(y + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 1258*d**2 + 40*d + 127. Is h(-9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2555740220 to the power of 1\/2, to the nearest integer?\nAnswer: 50554","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 33004769737 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 13*o - 5. Suppose 0 = -d - 3*s, 0 = -s - 0*s + 3*s - 4. Let n(i) = i - 1. What is d*n(q) + k(q)?\nAnswer: 7*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-12)\/(-15)*30\/4. Let b(r) be the first derivative of r**3\/3 - r**2 - 6*r - 49. What is b(q)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1620 = -97345*q + 97285*q for q.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 10*y**2 + 185*y - 60. What is the remainder when c(-19) is divided by 12\/18 - 62\/(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*c**2 - 48*c**2 + 283*c**2.\nAnswer: 256*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -256*j - 1612 = -380*j. Let u(q) = 2*q**3 - 5*q**2 - 5. Let d(w) = -4*w**3 + 11*w**2 + 11. What is j*u(n) + 6*d(n)?\nAnswer: 2*n**3 + n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 - 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26564 + 3*q**2 - 26564.\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((0 + 1)*80\/32)\/((-500)\/(-80)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13303 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - l - 3*l + 264 = 0, -2*l = -2*i + 116. Let z = -25 + i. Let g = 14 + -4. Calculate the remainder when z is divided by g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 - 30?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-8)\/20)\/((-26)\/(-10)). What is the nearest to 0.1 in 0.7, c, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -34745, -34733, -34719, -34703, -34685, -34665?\nAnswer: -34643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -687 + 673 - (-30 + -1).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 25 = 67. Suppose 2*r - 63 - o = 0. Calculate the remainder when r is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4\/(-18) + (-332)\/(-36) is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -11, 7, 0.5?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -448 + 447. Let h(n) = -530*n**3 - 10*n**2 - 10*n - 1. What is the hundreds digit of h(w)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 - 1)*(-4 - -2). Suppose -c*f - 25 = -6*y + 3*y, 4*y = -5*f - 8. Solve 2\/7*d**2 + 2\/7*d**y - 2\/7*d - 2\/7 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 294*o + 30. Let l be m(-1). Let g = -256 - l. What is the lowest common multiple of 122 and g?\nAnswer: 488","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2991 + 217 - 9420*d - 5555 + 14180 wrt d?\nAnswer: -9420","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 639 and 355.\nAnswer: 3195","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*d + 4*d + 100. Suppose 0 = -2*r + x - 3*x - 12, -4*x - d = 5*r. What is r rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-44)\/77)\/((-3)\/42*10).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 + (-26)\/(-14))\/(1488\/(-868))?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 + (2\/(-8) - (-15)\/(-20)). Suppose 69*b - 75*b + 51654 = j. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 12*v**2 - 25*v - 2. Let z(q) = 10*q**2 - 24*q - 1. Calculate 3*p(o) - 4*z(o).\nAnswer: -4*o**2 + 21*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 55433414 (base 6) to base 13.\nAnswer: 465739","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the second derivative of -1567*p**8\/56 - 379*p**4\/6 - 1335*p. What is the third derivative of i(b) wrt b?\nAnswer: -188040*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 4235, 4215, 4195, 4175, 4155?\n\"Answer: -20*i + 4255","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 95\/(-114)*12*(-1806)\/2100.\nAnswer: 43\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**2 - 3*l - 15. Calculate s(4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100111 (base 2) to base 14.\nAnswer: -2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-16)\/12 - 20*(-4)\/6. Solve 0 = 2*q - 4*c - a, 2 = 2*c + 10 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, -86481, -8, -2\/7, -1, 1\/5, 1\/6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g. Let b(i) = -2*i. Let a(f) = 3*b(f) + 5*n(f). Let l(q) = -3*q. What is l(a(h))?\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4005 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: Let g be (-4)\/20 + 6399\/45. Let f = g - -34. Is f a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is o in o**4 + 12070*o**3 + 37782825*o**2 + 8217256000*o + 463488640000 = 0?\nAnswer: -5920, -115","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y**5 + 84720*y**4 - 897692878*y**3 + 10759017576*y**2 + 11656795176*y = 0.\nAnswer: -1, 0, 13, 21174","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -222 + -11000110?\nAnswer: -11000332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5\/(-10) + (-49)\/(-2). Let h = z - 23. Let v(s) = -s + 1. Let d(j) = -5*j - 3 + 5*j - 2*j. What is h*d(m) + v(m)?\nAnswer: -3*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 87\/2866 and -47.\nAnswer: 2866","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -7*p**3 - 23*p**2 + 17*p. Let r(q) be the third derivative of -q**6\/120 - q**5\/15 + q**4\/8 - 600*q**2. Calculate -34*r(h) + 6*u(h).\nAnswer: -8*h**3 - 2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**2 + 5*k + 3. Let y be a(5). Is (7\/y)\/((-4)\/(-24)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 47155 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_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: What is the nearest to 1\/2 in 6\/7, -1, -1.6, -142\/5, 0.3, -0.2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 266*k**3 + 92*k**2 - 92*k**2.\nAnswer: 266*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -2*w. Let j(b) = 651*b + 2. Let a(x) = -1441974*x - 4431. Let f(n) = 6*a(n) + 13293*j(n). Give p(f(h)).\nAnswer: -3798*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1\/5 (b) 13 (c) -0.0638\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 35 - 13*n**3 + 18*n - 33*n**3 + 45*n**3 - 15*n**2. Let i be s(-16). Determine o so that 1\/2*o**2 + 3\/4*o**i + 0*o + 0 - 1\/2*o**4 = 0.\nAnswer: -1\/2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**2 - 3*j**3 - 49*j + 2*j**3 + 0*j**3 + 55*j.\nAnswer: -j*(j - 2)*(j + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 139*u. Let d(o) = 234 + o + 11*o - 84 - 150. What is d(r(n))?\nAnswer: 1668*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 51996?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 10*q**3 - q**2 - 7*q. What is the hundreds digit of l(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/(-4))\/(4\/(-16)). Let u be (z\/(-9))\/((-4)\/(-6)). Which is the third smallest value? (a) u (b) -1\/3 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 4*j + 3185, 4*j = -3*r + 619 + 1292. Is r a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 5*v - 23 = 0, v + 13 = 4*j - 33. Is ((-28)\/(-2))\/(2\/j) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 2*t. Let v(g) = -545*g. Determine w(v(f)).\nAnswer: -1090*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 400\/1000*1*55.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - 3. Let g = -0.4 + -3.4. Let h = g - -4.2. What is the nearest to -5 in h, -0.5, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - -75. Let h be ((-30)\/75)\/(2*(-3)\/l). Let f(n) = 8*n**3 + 5*n**2 - 5*n. Let i(a) = 4*a**3 + 3*a**2 - 3*a. Give h*i(z) - 3*f(z).\nAnswer: -4*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 221 and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the first derivative of j**3\/3 - 53*j**2 + 759*j - 790. Differentiate h(a) wrt a.\nAnswer: 2*a - 106","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1468206 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: Calculate the least common multiple of 12540 and 30.\nAnswer: 12540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 588662 a multiple of 191?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**3 + 36*c**2 + 285*c + 20. Determine p(-24).\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 - -5. Let x be -1 + i - (-4)\/(-18). What is the nearest to x in 5\/2, 1\/8, 0.4?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 641661 + 25079 = 13*n. List the prime factors of n.\nAnswer: 2, 5, 37, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1855359?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 644944563 by 331.\nAnswer: 1948473","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -4 (b) 0.5 (c) -0.2 (d) -553\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 41.29376 decades?\nAnswer: 412.9376","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3695053?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -23.65 - -23.25. What is the nearest to 0 in -3\/4, l, 60?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 43*i**2 - 28*i**2 - 23*i**2 - 6*i - i**3 - 5. Suppose -4*j - 19 = b, -4*b + 2*j = -0*j + 22. Determine f(b).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*u + 15*u - 8*u + 0 + 3 + 1.\nAnswer: 25*u + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 444 is divided by 41.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -2*b - 374. Let f(v) = -2*v + 1460. Determine g(f(k)).\nAnswer: 4*k - 3294","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8 times 17?\nAnswer: 13.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -3*j + 10. Suppose 5*s - 5 = -0*s. Solve -v = -5*q + j*q - s, 0 = 5*v + 5*q + 15 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5 + 5 + 34 - 1 is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (84\/350)\/((68\/(-30))\/17).\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 14 - -6*(-5)\/15. Is 8 a factor of r\/(-3 + (-76)\/(-24))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-24)\/(-8))\/(1 + -2) - -5. Suppose -2*l = 3*p + p - 292, p = g. Is 8 a factor of l\/(0 - -2 - 0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42b (base 13) in base 4?\nAnswer: -23021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 1 + 0)*(1 + 5 - 5)*(4 + 2 - 5)*(-1 + 3 - 3)*(-2*u - 53*u**3 + 13 - 3 + 51*u**3).\nAnswer: 10*u**3 + 10*u - 50","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.3 and 4572368.\nAnswer: 10516446.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -10542, -21070, -31598, -42126, -52654, -63182?\n\"Answer: -10528*y - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-145)\/638*((-8)\/30)\/1. What is the second biggest value in -2, 5, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i\/i**(-5))\/i*i*i**5)\/((i**(-4)*i)\/(i**(-2\/11)*i))*((i\/(i**0\/i)*i)\/i)**(-22)*i\/i**(-1\/4)*i\/(i*(i*i**(1\/11))\/i) assuming i is positive.\nAnswer: i**(-1189\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-13)\/(-11) - 6\/33. Solve 0 = -3*i + 5 + n for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2*w**3 + 4)*(-34*w - 22*w + w) + w**2 - w + 4*w**4 + w.\nAnswer: 114*w**4 + w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 158 + -60. Let d = n - 58. Calculate the remainder when d is divided by (-355)\/(-25) - 1\/5.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + t + 10 = i, 5*i + 25 = 0. Suppose t*q - 20 = 5*o, 4 = 4*o - 3*q + 17. Let r(x) = -7*x + 2. What is r(o)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -205.99 + 205. Let s = -0.01 + k. Let a = 0.3 + 0.2. Put -4, a, s in decreasing order.\nAnswer: a, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - -3 - 8) + (-131 - -114)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/4 greater than or equal to -125?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5 + 3 + 2 - -15. Solve -4*t = -a + 20, -10*t - 3*a = -5*t + s for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -46\/3 (b) 76 (c) 41 (d) -3\/5 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/27)\/(112\/42)*(4 + -2)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**3 + 3*f - 3. Let y = 27 + -22. Suppose 0 = -2*g + 3*g - v + 9, -v = -y*g - 65. Let m(z) = -4*z**3 - 14*z + 14. Calculate g*o(w) - 3*m(w).\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 5*q + 1 = 0, 5*u + 2*q - 4 - 16 = 0. Let o(z) = -7*z**2 + 3*z**2 - u - 16*z**3 + 17*z**3 - 2*z. Give o(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14628 is divided by 270.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 10 + 0*o - 2*o + 3*o. Let f be (-14)\/4 + 12\/(-192)*40. Let w be q(f). Solve w*i - 4 = 8 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 14235?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/(-10)*8*(-20)\/3. Suppose b*u - 768 = 12*u. Is 12 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 24095, 24084, 24065, 24038?\n\"Answer: -4*b**2 + b + 24098","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11449\/45 greater than 1\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 l when two letters picked without replacement from {l: 3, h: 12}.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -g**2 + 126*g - 272*g + 135*g.\nAnswer: -g**2 - 11*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.8 - 2.2. Is b less than or equal to 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 351a (base 11) to base 8\nAnswer: 11013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - -3314?\nAnswer: 3311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39543.\nAnswer: 3, 7, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + 2*x + 6 = 0, -38 = 5*o + 1397*x - 1395*x for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 93011 by 33.\nAnswer: 93011\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the second derivative of -144*l + 0*l**2 + 5\/3*l**3 + 1. Let d(a) = 60*a. What is 4*d(i) - 25*g(i)?\nAnswer: -10*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p**3 + 372*p**2 + 5307*p + 4932 = 0.\nAnswer: -12, -1, 137","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the second derivative of -z**6\/6 - z**5\/2 - z**4\/6 - 40*z**2 - 144*z. Find the third derivative of m(u) wrt u.\nAnswer: -120*u - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 8336054.\nAnswer: -5\/8336054","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -5*q**2 - 61*q + 336. Let s(p) = 5*p**2 + 59*p - 334. Let i(z) = 3*j(z) + 2*s(z). Factor i(b).\nAnswer: -5*(b - 4)*(b + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.004 + -127.996. Let s = k - -129.32. Round s to one dp.\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -548033 - 99473049.4\nAnswer: -100021082.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - (3 + (2 - 3))) + 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s - 1 + 1)*(6 - 2 + 1)*(2*s + s - s + 2*s - 3*s + 3*s + (5*s - 3*s - s)*(0 + 1 + 1) + 0*s + 0*s + s).\nAnswer: 105*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*f - 2*f - 3*f + (1 - 1 - 2*f)*(1 - 2 - 1) + 3*f - f - f - 2*f + 3*f + 2*f + 0*f - 6*f + 3*f + (-82*f - 105*f - 63*f)*(1 + 1 + 0).\nAnswer: -498*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 2*q - 6. Let c(w) = 18*w - 2 - 17*w - 13. What is the least common multiple of c(18) and i(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 3)*(-2 + 2 + 1)*(-v - 2*v + 4*v)*(17 + 3 - 6) - 26 + 26 + 15*v.\nAnswer: 29*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 - 4. Let u = 6 + -4. Is 2 - i - u - -8 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 45120?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 + 18*r**2 + 43*r - 25. Let i be k(-14). Let d = 155 - i. What is the closest to -2\/9 in 0, -0.4, d, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 < -0.138?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*(o\/(o*(o**7*o)\/o))\/o*o*o\/o**12*(o*o\/(o*(o\/(o*o\/(((o*(o*o**(-5))\/o*o)\/o)\/o))*o)\/o))\/o**4)**19 assuming o is positive.\nAnswer: o**(-266)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 4*j = -j + 16, -j = -5*h + 27. Suppose -h*f = -11 - 14. Which is the smallest value? (a) 1 (b) -0.4 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 406*g - 364*g + 2*p + 48 = 0, -4*p + 78 = -3*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-30)\/(-25)*150\/9. Let d(f) = -23*f - j*f + 2 + 45*f. Give d(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((-2*sqrt(91) + sqrt(91))*3 - sqrt(91)))\/(sqrt(42)\/(sqrt(120)\/sqrt(5))).\nAnswer: -32*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 710? (a) 2 (b) -4\/7 (c) 0.04 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0*1\/(-3) + 86. Suppose 5*w - h = 3*j, -w - 2*w - j = -46. Does 6 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-286)\/(-110) + 39324\/10 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3252789 to the nearest integer?\nAnswer: 1804","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1533, -4441, -9287, -16071, -24793, -35453, -48051?\nAnswer: -62587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**8*n)**39\/((((n*n**(-4\/7))\/n)\/n)\/n)**(-36) assuming n is positive.\nAnswer: n**(1809\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**3 - 8*p**2 - 9*p - 9. Let q be j(-7). Solve q - 1 = -4*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3322951?\nAnswer: 463, 7177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 - 492527669.2.\nAnswer: -492527668.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-42)\/126*(-1509 + -6). What is the highest common divisor of 15 and l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 38901?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5\/2*(12 - 10). Let l(o) = 4 - o**2 + 3*o + 2 - 2. Determine l(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes after 9:20 PM?\nAnswer: 4:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 32*w**5\/3 - 280*w**4\/3 - 442*w**3\/3 + 863*w**2\/6 - 116*w\/3 + 10\/3 = 0. Calculate w.\nAnswer: -2, 1\/4, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 216 = -6*r - 0*r. Let l be (r\/(-4))\/1 - 4. Let x be 0 - (l\/73)\/5. Which is greater: x or -1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3420 = 2454*y - 4164*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 2 s when three letters picked without replacement from zooyiizzxsoss.\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 917*s + 0 + 0 - 915*s. Let f(g) = -101*g + 4. Let v(h) = -203*h + 7. Let c(n) = 7*f(n) - 4*v(n). What is c(z(d))?\nAnswer: 210*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + -21. Let f be (h\/(-14))\/(3\/(-10)). Let s(v) = -v**3 - 5*v**2 + 3*v + 5. Determine s(f).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 128?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*y - 2182 - 11498 = 200*y + 110*y for y.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 805 and 8372.\nAnswer: 41860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 + 1\/(-1) + -24. Let n(c) = 2*c**2 + 50*c + 33. What is the tens digit of n(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (3 + -5)\/((-22)\/27357).\nAnswer: 3, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 177 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 5*x - 6 = -26, 5*z + 3*x - 12 = 0. Suppose -2*w + w + 1 = z, 4*b = 2*w + 14. What is the remainder when 5 is divided by b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1748360512?\nAnswer: 2, 17, 73, 22013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.11 + -0.125466\nAnswer: -0.235466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -26 - -28. Let p(q) = q**3 - 2*q**2 + q - 3. Let b be p(j). Let g = -1 - 2. Put 3, g, b in descending order.\nAnswer: 3, b, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 94853731 and 94853731 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n**(4\/5)*n)*n*n\/n**(-11))**(-46)\/((n\/((n*n\/n**2)\/n*n))**(-24\/7))**(-2\/3) assuming n is positive.\nAnswer: n**(-19722\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 90 - -291. Suppose -3*a - 357 = -y. Suppose u - 67 = 3*l - 6*l, -4*l = 4*u - 100. Calculate the remainder when l is divided by a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 - 4)*1\/(-1). Let o be (-2)\/(-2) - 10\/(-30). What is the closest to -1 in o, g, -5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -2*y**3 + y**2 - y + 4. Suppose -v + 5*x = -5, -5*v + 1 = -0*x - x. Let f be c(v). What is the greatest common divisor of f and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 114045 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1\/4))**(6\/23) assuming a is positive.\nAnswer: a**(-3\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 4*y + 3*a - 8, 0 = 4*y - 4*a. Suppose y*z - 1211 = 47. List the prime factors of z.\nAnswer: 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 298?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-52)\/65)\/(2\/(-40)). Suppose 4*g + 102 = 3*n, 4*n - 95 = -3*g + t. Is n a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2058, 8065, 18062, 32037, 49978, 71873, 97710, 127477?\n\"Answer: -2*c**3 + 2007*c**2 + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:53 PM and 2:56 AM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = 3*j + 3*m, -2*j - 5*m + 10 = -8 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*s**3 - 14*s**3 + 0*s**3)*(-s + 0 + 1 - 3) - s**2 + 4*s**4 - 2*s**4 + 3*s**2.\nAnswer: 10*s**4 + 16*s**3 + 2*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 93 (b) -15.467 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 32*t**4 + 270*t**3 + 496*t**2 - 64 wrt t.\nAnswer: 768*t + 1620","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 435, 828, 1221, 1614, 2007?\n\"Answer: 393*r + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/10 + 388\/(-5). Suppose u = -3*o - 3*u + 437, -2*o + 276 = -5*u. Let t = k + o. Calculate the remainder when t is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 906.931053 nanoseconds?\nAnswer: 0.0000000000014995553125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1057663567 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + sqrt(539)*1)**2 - (sqrt(539) - (sqrt(539)*2)**2*5) - (sqrt(539) + (-2*sqrt(539))**2 + sqrt(539) + 4 + (3 + sqrt(539) + 0)**2))*-4.\nAnswer: -34544 + 532*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 1257391?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1245114 (base 6) to base 7\nAnswer: 403522","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - 2769*w + 91 - 17 + 2768*w - 38.\nAnswer: -w + 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2\/5671 - -39787\/255195. Let p = -409\/90 - i. What is the common denominator of 198\/910 - (35563\/793 - 45) and p?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*s = 36 + 54. Let o be 120\/675 - s\/(-15). Let q = 6 - 11. Put 0, 4, o, q in increasing order.\nAnswer: q, o, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d + 3. Let v be s(3). Let y(k) = v + 1 + 83*k**2 - 3 + 3. Does 25 divide y(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -2*o. Let g(u) be the first derivative of -7543*u**2\/2 - 1483. What is c(g(q))?\nAnswer: 15086*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 493702892 a multiple of 274?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.242 times 50498?\nAnswer: -62718.516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 58, 116, 174, 232?\n\"Answer: 58*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -964*y**3*z**4 - 43*y**3*z**3 + 2*y**3 - y*z - 8813*z**2 wrt z.\nAnswer: -23136*y**3*z - 258*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 69476819 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -90*a**3 + 4*a**2 - 5*a + 20. Is 7 a factor of s(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*s + 27*s + 81 = 0. Let o = -28 - s. List the prime factors of o + 1 + 1 - 8\/(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -2*m + 3*i, i - 3*i = -3*m + 24. Let f = m + -4. Suppose f*y - 146 + 58 = 0. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 964 - 959. Solve -j - 3 = -m*q, -2*j = -8*q + 9*q - 5 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (1688\/12)\/((-6)\/(-27)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 86477272?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 8, k - 3*i - 18 = 2*i. Let w = 52 - k. Let c be 794\/11 + 8\/(-44). Calculate the highest common factor of c and w.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6 - 20\/3*a + 2\/3*a**2.\nAnswer: 2*(a - 9)*(a - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6126635 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a century in decades?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**3 - 125*k**2 + 27*k + 2961. What are the prime factors of l(125)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11295a (base 13) to base 14\nAnswer: -a7c8c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**3 + g**2 - g. Let x(i) = 2*i**2 + 4*i**2 - i**2 - 4*i**3 - 3*i. Let k(d) = 3*w(d) - x(d). Factor k(j).\nAnswer: j**2*(j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3291544*o**3 - 9*o**2 - 201407*o?\nAnswer: -19749264","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -0*h + 5*p + 434, -3*h - 324 = 3*p. Let o = -30 - h. List the prime factors of o.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(40\/(-10))*2\/(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 0, -6, -5, 1 in decreasing order.\nAnswer: 7, 1, 0, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6705297*i**4 - 17233*i - 279 wrt i.\nAnswer: 80463564*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 92, 83, 78, 83, 104, 147?\n\"Answer: g**3 - 4*g**2 - 4*g + 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -31421 (base 5) in base 13?\nAnswer: -c65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 126353?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 45743 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 286126 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -9 (b) 2\/5 (c) 25\/421\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 41590822*q**3 + 1965*q**2 + 10748*q + 1?\nAnswer: 249544932","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 4*s = -s + 11, 4*d = s + 17. Let l = -3 + d. Which is smaller: 2\/11 or l?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 62829 and 52?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.104475991 rounded to 0 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5493279*c**5*y - 195991*c*y + 30*c wrt c?\nAnswer: 109865580*c**3*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1674, 3338, 4988, 6618, 8222, 9794, 11328, 12818?\n\"Answer: -m**3 - m**2 + 1674*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3 + -2 + 1 + -2. Suppose -z = -t*z. Let o be -2*(-1)\/(-4)*-2. Sort z, 3, o.\nAnswer: z, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 - (3 - (-27 + 1) - 24)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the third derivative of 1\/24*z**4 + 0*z + 17\/6*z**3 + 0 + 11*z**2. List the prime factors of p(-5).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -7*i + 7. Let h be k(-15). Let l be -8*16\/h*14\/(-4). Solve l*v - 8*v + 12 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 7524*d - 165571. What is l(22)?\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2837142 by -231.\nAnswer: 12282","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**3 + 30*x**2 - 35*x - 105. Let f be i(-31). Suppose 9*w = f*w - 100. Calculate the lowest common multiple of w and 27.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -182 = -c + 24*c - 36*c for c.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the first derivative of 0*d + 0*d**3 + 1\/12*d**5 + 0*d**4 - 7 + 7\/2*d**2. Let s(z) be the second derivative of n(z). Let v(q) = -q. Give s(v(m)).\nAnswer: 5*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 786260?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 22 = 4*k, k + 0*q = -2*q + 8. Let s be (-4)\/14 - 592\/(-14). Calculate the highest common divisor of s and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 722 - 488. Let v = -234.3 + f. What is the fourth smallest value in -1\/8, -2, v, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18884?\nAnswer: 2, 4721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 2*z**3 + 27*z**2 + 16*z + 42. Let s be l(-13). Solve -n = s*n - 5*d - 45, -5*n - 2*d = -15 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2\/3 - 9841*b\/3.\nAnswer: b*(b - 9841)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 13986?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -4*d + 1, 5*p + 3*d - 13 = 0. Suppose -2*j = p*o + 102358, -4*j + 153544 = 16*o - 19*o. Round o to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 674 a factor of 1024480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -19 at least as big as -50?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 68\/(108460\/435) + 126\/(-220).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n - n + h + 282, 0 = 3*n + 2*h - 164. What are the prime factors of n?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -12 + (2 - (0 - -1)). Let x = -15 - v. Is -10\/3 at least as big as x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1194046\/9 - -132672. Let k = 2 - 1. Which is the third smallest value? (a) 2\/7 (b) k (c) y (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*r - 3 + 9 - 5)*(1117 - 55*r - 1117).\nAnswer: -880*r**2 - 55*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the first derivative of w**4\/6 - 2*w**3\/3 + w**2 - 2*w\/3 - 43. Factor n(j).\nAnswer: 2*(j - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-7) - (-52)\/63. Let w = b - 31\/36. Let m(f) = f - 11. Let o be m(11). Are o and w equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2351 is divided by 76?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 92*g + 1570. Let u be i(-17). Solve -6*y - 30 + u = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(539) + 1*sqrt(539)*-2)\/((2*sqrt(132))\/sqrt(12)))\/(-2*1*1*sqrt(175)))**2*5.\nAnswer: 7\/80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/105*133\/57?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -7*a**2 - a - 148. Let s(l) = 15*l**2 + l + 321. Give -13*i(r) - 6*s(r).\nAnswer: r**2 + 7*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -2*n - 23, 28 = 6*p - 2*p - 4*n. Suppose 0 = -4*j + 7*j + p, b + 4*j = 97. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 14001 + 3422?\nAnswer: 22423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2072\/21 + (-1)\/(-3)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*k + 0*k - 3*k)*(-3*k**3 - 2*k**3 + 4*k**3) - 211*k**3 - 27*k**4 + 211*k**3 + (3*k**3 + 3*k**3 - 5*k**3)*(0 - k + 0) - 3*k + 3*k + k + k**4.\nAnswer: -28*k**4 + k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 11, 41, 73, 107, 143, 181?\n\"Answer: w**2 + 27*w - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 14*r**2 - 17*r + 12. Let f be c(4). Suppose f + 142 = 10*d. Calculate the least common multiple of 6 and d.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, 260, -2, 3 in descending order.\nAnswer: 260, 3, 0, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/9 and ((-94)\/44 + 2)\/(22\/12)?\nAnswer: 1089","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.6041861845 to 1 decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/988 and -85\/1482.\nAnswer: 2964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 7814.463ng in tonnes?\nAnswer: 0.000000000007814463","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15165 is divided by 79?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -284352 by 17772.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 74200?\nAnswer: 2, 5, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-4)\/(-1))\/4 - 13. Let v = -11 - k. Which is the closest to 0? (a) v (b) 0.3 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 3*j = -31, 6*j = 3*y + j - 37. Suppose -2*d = -y*d + 192. Calculate the greatest common divisor of 64 and d.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-12)\/(-18)*(0 + 6). Let o be (-17)\/n + (-2)\/(-8). Let p = -0.067 + 1.067. Which is greater: p or o?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 346 minus 57?\nAnswer: 289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -43, -0.3, 0.2, -0.2, -2\/11 in increasing order.\nAnswer: -43, -0.3, -0.2, -2\/11, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 0*v + v + 2*v. Let x(n) be the first derivative of -12 + 0*n + 0*n**2 + 5\/3*n**3. Calculate c(x(s)).\nAnswer: 15*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + w - 4 = 0. Let h(g) = 5*g**3 - 2*g**2 - 4*g + 3. Let v(d) = -11*d**3 + 4*d**2 + 7*d - 6. Let j(k) = w*v(k) + 9*h(k). Is 14 a factor of j(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -6, -85\/77, -5, 1\/9, 0.01?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (-5 - -9) + -11 + (11 - 1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1929160813?\nAnswer: 359, 5373707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 19*j + 17*j = 10554, -4*y - 5*j = -21162. What is the remainder when y is divided by 151?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 107, 19, 3, 4 in decreasing order.\nAnswer: 107, 19, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**3 - m**2 - m + 1. Let d be n(2). Suppose -114 = -5*c + k, -5*c + 0*k = -d*k - 112. Is 11 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -48\/17 or -4?\nAnswer: -48\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -53 or 162216?\nAnswer: 162216","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - -3) + -5 - (1 + -3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/208 and 35\/8?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.21 + -0.06. Let a = s + -0.35. Let c = 2\/107 - 113\/321. Put a, c, -2\/3 in increasing order.\nAnswer: -2\/3, c, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 15 - (-121 + 135 + (-3 - 5)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 5*k + 56. Let a(n) = -2*n - 19. Let v(i) = 11*a(i) + 4*u(i). Let p be v(-3). What is the tens digit of 1 - p*30\/(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, 2, 18, 0, -8.\nAnswer: -8, -3, 0, 2, 4, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 + 56 = -13*s. Is 37\/(-6) - s - 1459\/(-6) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**2 - 9*y + 32. Let m be f(-11). Suppose -67 = -m*q + 3. Let d(b) be the second derivative of b**3\/3 - 4*b**2 + b. Determine d(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -26.3 + 4.3. Let u = h - -21. Which is the closest to -2\/7? (a) u (b) -2 (c) 50\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 6793, 13522, 20141, 26596, 32833?\n\"Answer: -9*q**3 - q**2 + 6795*q + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-1\/4))**(2\/23)\/(o\/o**(1\/4))**(-4\/11))**5 assuming o is positive.\nAnswer: o**(635\/506)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.8 - 1.8. Which is the nearest to -3? (a) 2\/9 (b) -4 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -84 + 145. Suppose -4*w = 4*k - 2*w - 52, -3*k = -4*w - z. Which is the fourth smallest value? (a) -4 (b) 4 (c) k (d) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.437978 - -0.144812. What is x rounded to 1 dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - -3. Let f(w) be the second derivative of -w**4\/12 + 11*w**3\/3 + 6*w**2 - 38*w. Let g be f(22). Solve -s*y + 0 = g for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 265ab8 (base 12) in base 11?\nAnswer: 3a2069","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -15*m + 14. Let z(n) = n - 1. Let u(h) = v(h) + 2*z(h). What is the tens digit of u(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1968669, -3937332, -5905987, -7874634, -9843273, -11811904?\n\"Answer: 4*q**2 - 1968675*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4522696?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 3*t + t - 17 = 0, 4*o + 3*t - 3 = 0. Let a be 5 + o + (-19 - -2). Let i be a\/6*12\/465. Is 1 <= i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -107, -211, -311, -407, -499, -587?\n\"Answer: 2*f**2 - 110*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -12\/7 in 1179, -0.3, 3\/2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**5 + 24*f**4 - 85*f**3 + 102*f**2 - 40*f.\nAnswer: -f*(f - 20)*(f - 2)*(f - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*c**3 - 50*c**2.\nAnswer: 5*c**2*(c - 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 3*i - 29. Let g be x(11). Suppose -g*u + 176 = 4*u. What is the remainder when 108 is divided by u?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 55 and 55?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 2 d, and 1 p when four letters picked without replacement from {a: 1, h: 2, p: 1, d: 4, f: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p\/(p*p**(-2\/3)*p))\/p**(-1\/10))\/((p*p*p**(1\/2)\/p*p*p)\/(p\/(p**8*p))))**19)**(5\/3) assuming p is positive.\nAnswer: p**(-3344\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes before 1:19 AM?\nAnswer: 9:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**3 - 9*l**2 - 8*l - 1. Let g be a(-8). Let v be 1\/((-3)\/(-3)) - g. Suppose 5*x + 5*f = x + 8, 6 = 2*x + v*f. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 527377 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1, -6, -5, -35 in descending order.\nAnswer: 1, -2, -5, -6, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 22 - 20. What is the third derivative of -48*v**2 - 76*v**2 + 105*v**f - 9*v**6 wrt v?\nAnswer: -1080*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(2) - sqrt(2)) + 4 + 5 + sqrt(32).\nAnswer: 4*sqrt(2) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 142*p - 234*o + 231*o = 169, -3*p - 2*o - 15 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-12)\/(-18) + (-16)\/6. Is -3 != s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**2 + 9*h - 10. Let r be u(7). Let g be -3 + 1\/(1\/r). Which is smaller: -2\/5 or g?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of -2*(-7 - 9\/(-3))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98*y - 2475 = 95*y. List the prime factors of y.\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(539) + 0)**2 + (sqrt(132)\/(sqrt(12)*-1))**2 + sqrt(264)\/sqrt(24).\nAnswer: sqrt(11) + 550","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 38.8161473 to 0 decimal places.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.296273 rounded to one dp?\nAnswer: 2.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-854*p + 12 - 39 + 852*p)*(-2*p - 4*p - p) in the form g*p + z + u*p**2 and give u.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 46327 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -18*k**2 + 16*k - 2. Let c(z) = -22*z**2 + 17*z - 3. What is 2*c(y) - 3*q(y)?\nAnswer: 10*y**2 - 14*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 57\/15100 and 47\/389580?\nAnswer: 1947900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7199339 divided by -24.\nAnswer: -7199339\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - 6, -3*y + 33 = -2*y + 3*j. Find the second derivative of -17*h**5 + 61*h**5 + y*h**5 - 82*h wrt h.\nAnswer: 1360*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -42.27053 - -323\nAnswer: 280.72947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - (5 + 5 + -17)) + -24 - 4\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -22.2 + 26. Let v = -3.82 + -0.18. Let s = a + v. What is the smallest value in 0.3, s, -1\/11?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the third derivative of u**5\/60 - u**4\/4 + 5*u**3\/6 + 134*u**2. What is a(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -42 = 10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes before 11:57 AM?\nAnswer: 6:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 24\/(-56) + (-72)\/(-21). Suppose v*k + k = 96. Suppose 2*j - d + k = 0, 4*d + 6 = -2*j + 2. What is the third smallest value in 5\/4, j, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*k + 41*k + 9*k = 5*k + 2553 for k.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6226 - -87079\/14. Let v be 63\/(46\/52 + -1). What is the common denominator of ((-6)\/(-7))\/(80\/v) and z?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 plus -91578?\nAnswer: -91577.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.3 - 2.7. Let a = y + 10.4. Let k = 8.000039 - a. Round k to 5 decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 17 = 8*s - 3*i, 2*s - 2*i - 8 = 0. Put s, -16, 0 in increasing order.\nAnswer: -16, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 0*y = 3*y - 15, 3*z - 2*y + 10 = 0. Let u = -4 + z. Let g = 4 - u. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes before 1:31 PM?\nAnswer: 12:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 3*f**3 - 33*f**2 - 7*f + 23. Calculate x(8).\nAnswer: -609","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 4 + 6)*(-2*u + u + 2*u)*(0*u - 3*u - u)*(2 - 7 + 3)*(-1 + 1 + 1).\nAnswer: 8*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 604714*c**3 - 624149 with respect to c.\nAnswer: 1814142*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-189)\/(-756))\/((-3)\/(-624)) - 6.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 708850?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 + 23*r**2 - 8*r - 97. What is q(22)?\nAnswer: 211","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8\/20 - (-13)\/5. Suppose -t - 22 = -h, 0 = -v*h - 2*h - t + 80. What are the prime factors of h?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, -1, -5, -8693\/9, 2\/3, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in seventeen halves of a minute?\nAnswer: 510","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 + -17. Let x = 11 + b. Suppose x*w = w + 6. Let g(t) = -t - 4. Determine g(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*k**2 - 260*k + 264.\nAnswer: -4*(k - 1)*(k + 66)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 2*l - 1019 + 3209, 4350 = -4*t + 2*l. What is the common denominator of (-2)\/7 + t\/56 and 43\/6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6729*x**2 + 12 + 7519*x**2 - 10)*(-4*x**2 + 17*x**2 + 14*x**2) to the form o + h*x**4 + d*x**2 + g*x**3 + l*x and give h.\nAnswer: 21330","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16 - 12. Suppose v - 11 = k. What are the prime factors of 1041\/v - 9\/(-15)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + 24 + 7 + 0 + -8?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 10\/40 + 54\/8. What is the smallest value in -3, q, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-four fifths of a kilogram in grams?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000875272 to 7 decimal places.\nAnswer: 0.0000088","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -384 - 86 = 10*m. Let s = 21 - m. What is the tens digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -76246, -76240, -76224, -76192, -76138, -76056?\nAnswer: -75940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 (base 5) in base 2?\nAnswer: 100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -162 divided by 1406.\nAnswer: -81\/703","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*c - 4*c**3 + 48*c**3 + 2*c**5 + 32*c**3 - 40 wrt c?\nAnswer: 40*c**3 + 456*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (12\/10)\/(8\/100). Suppose w = 2*v + v. Suppose -2*k + k + 58 = v*t, 3*t = 3*k + 42. Solve 5*q - 5*m - 35 = 0, t + 6 = 2*q - 3*m for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*j + 3*j - j - j)*(-4 - 8 - 9).\nAnswer: -231*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1478 + -296?\nAnswer: -1752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(27)\/(sqrt(324) - -1*sqrt(324)).\nAnswer: sqrt(3)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 4*g = 485, -g + 485 = 5*a + g. Find the third derivative of -35*v**2 - 66*v**4 + a*v**4 - 62*v**4 wrt v.\nAnswer: -744*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2688269 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 91650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 561?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 131 a factor of 32897?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j - z - 14, -j + 3*j = -3*z - 16. Let s = -4\/117 + 10\/39. What is the closest to 0 in s, j, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*-1*(sqrt(1331) + 0) - 2*4*(1 + sqrt(1331)))*-5)**2.\nAnswer: 57200*sqrt(11) + 5625075","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 516168, 516166, 516164, 516162, 516160?\nAnswer: 516158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**3 + g - 1. Let a(k) = -5*k**3 - 24*k**2 - 47*k - 9. Let h(x) = a(x) - 4*i(x). What is the tens digit of h(-22)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 252880*j + 252918*j - 505798*j - 1600*j**2 + 2.\nAnswer: -1600*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes after 6:13 PM?\nAnswer: 1:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -29 + 21. Suppose -2*q - 4 = -4*c, 2*q + 4*c - 9 - 19 = 0. What is the smallest common multiple of q and 4*(-1 - 14\/p)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -75? (a) 0.02 (b) 1.22 (c) 2\/45 (d) -5\/2 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -368 * -0.5.\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -13*k - 7. Let r(v) = -v. Give 5*r(m) - u(m).\nAnswer: 8*m + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 73297747?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: 351 (base 14) to base 4\nAnswer: 22103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand v**4 - 10 + 13*v**2 - 6*v**2 + 8 + (-4*v - 5*v + 4*v)*(-2*v - 6*v + 3*v)*(3*v - 2*v + 2*v)*(7*v - 4*v - v).\nAnswer: 151*v**4 + 7*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 105589978 divided by 52794989.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10300 and 500.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1130*l**4 - 502*l**2 wrt l.\nAnswer: -27120*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the third derivative of d**5\/30 - d**4\/4 - 4*d**3\/3 + 239*d**2. Factor b(q).\nAnswer: 2*(q - 4)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 662056?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*l + 5235 = -12*f + 4*l + 5279, -3*f - l + 6 + 7 = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 - (-4 - ((-259)\/56 + 6\/(-16))). Let -1\/2*n**3 + 1\/2*n**5 + 0*n**4 + f*n + 0*n**2 + 0 = 0. What is n?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 30 and 1190?\nAnswer: 3570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 865273644 divided by -122007\nAnswer: -7092","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*z**5\/5 + 172*z**4\/5 - 708*z**3\/5 + 1072*z**2\/5 - 718*z\/5 + 36 = 0. Calculate z.\nAnswer: -90, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**2 - y + 1. Let m(a) = -8*a**2 + 6*a - 6. Let j(w) = -6*g(w) - m(w). Let c(r) = -38*r**2. Give c(j(d)).\nAnswer: -152*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**3 + 4*f**2 + f + 1. Let p be o(4). Suppose 0 = p*v - 0*v - 315. Calculate the greatest common divisor of 9 and v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.86 + -3.02. Let n = -297 - -297.12. Let z = n - x. Which is the biggest value? (a) z (b) -3\/2 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 - t. Let h(g) be the third derivative of -g**6\/120 + g**4\/12 + 4*g**2. Let l(f) = 4*h(f) + 7*q(f). Find the second derivative of l(x) wrt x.\nAnswer: 18*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.5259 to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1672)\/(-704) + (-9)\/(-48)*-2. Solve -5*o = -3*h, 0 = -3*o + 7*h - g*h for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 50, 94, 138, 182?\nAnswer: 226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -463.31998 rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -848*s**2 - 896*s**2 + 2335*s**2 - 826*s**2.\nAnswer: -235*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - (6 + -4 - -4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 21*r**2 + r + 1. Let a be 3*(-49)\/168 + (-1)\/8. Determine c(a).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.3*-742255.\nAnswer: 964931.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 + 5e1?\nAnswer: 5de","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - 17 - -13 - 9?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the third derivative of -z**6\/120 - 3*z**5\/20 - 3*z**4\/8 - 2*z**3\/3 + 3*z**2. Let v be g(-8). Solve m = v*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1468.99 rounded to the nearest 10?\nAnswer: 1470","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14 - 8. Let h(f) = f**3 - 4*f**2 - 3*f - 10. Let b be h(5). Solve 4*m - m = 2*a - x, b = m for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7079*g - 104 + 117 - 9 - 4 as a*g + f and give a.\nAnswer: 7079","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 845*f**4 - 95875*f**3 + 137520*f**2 + 90880*f - 143360 = 0.\nAnswer: -1, 16\/13, 112","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3319124 and 42316?\nAnswer: 596","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 41619.38 decades?\nAnswer: 416.1938","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -230 - -44784. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1269 and 40061484.\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -117 + 155. Suppose -2*j + 14 = n, -3*n - 4*j + 0*j + d = 0. What is the remainder when 46 is divided by n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(3\/7)*s*s**(1\/4))**(4\/3)*(s*s\/(s*s**(2\/5)*s*s)*s*s)**(-48)*s**(-5)*s**(-5) assuming s is positive.\nAnswer: s**(-1233\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 16*z**2 - 260*z. Let h(i) = -3*i. Give h(v(l)).\nAnswer: -48*l**2 + 780*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a second in microseconds?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -157 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19 + 4 + 145\/10?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 484\/7 or 69?\nAnswer: 484\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the third derivative of p**5\/10 + 5*p**4\/12 + 2*p**3 + 2*p**2 + 13. What is the remainder when x(-4) is divided by 24?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.5 (b) -795 (c) -29 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/4, -2\/19, 0.303 in increasing order.\nAnswer: -2\/19, 0.303, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence igg when three letters picked without replacement from {i: 13, g: 6}?\nAnswer: 65\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 1 = 0, 0 = 79*h - 82*h - 3*i + 15 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 202682335237 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 336 - 336. Solve -3*d + 8 - 2 = z for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5020 = -123*m + 643 - 420 for m.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1440161, 1440162, 1440165, 1440170, 1440177?\n\"Answer: q**2 - 2*q + 1440162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (-2 - (2 + -2)) - (29 - 24).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 83749 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2.73 - -1695244818290\nAnswer: 1695244818292.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1743)\/18 + (-95)\/(-114). Let b = r + 97. Put 3, -2, -6, b in descending order.\nAnswer: 3, b, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**3 - 3*s**2 - 4*s + 2. Let a be h(4). Solve 0 = 2*l - a*n + 10, -5*l + 5 = -n + 22 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(912)*-3 - sqrt(912)) + sqrt(57) - -1*sqrt(228))\/((sqrt(108) - (sqrt(108) + sqrt(108) + -2*sqrt(108)))*4*-3).\nAnswer: 13*sqrt(19)\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 741963350 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 8, 3, -2, -7?\n\"Answer: -5*n + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + 4*w = -8*q + 31, -4*w = -2*q - 5*q + 19 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 220*k**2 - 7*k + 7. Let j be f(1). Suppose 5 = -5*v + 115. What is the highest common divisor of j and v?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, s: 11, a: 6}. What is prob of sequence xss?\nAnswer: 55\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-4 + 8 - 3)\/(-3 + (-265)\/(-90))\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.073834629 to two decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -336959*p = -336611*p + 19836 for p.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a millisecond in microseconds?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 80 and -0.11.\nAnswer: -8.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than 6\/7109567?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -10 (b) 2\/119 (c) 102 (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 98 and 599788?\nAnswer: 4198516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven tenths of a gram in milligrams?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -97 - -95.91. Let d = 1.092 + j. Round d to 3 decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) 4544800 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.7979 - -3.8979. What is the biggest value in -1, 5, y, -33?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5\/6 in -1.72, 0.1, 0.8, -3\/8?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -214205, -428398, -642591, -856784?\nAnswer: -1070977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h + 8. Let j(c) = c - 8. Determine 4*j(k) + 5*s(k).\nAnswer: -k + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/((j*j**(1\/33))\/j)*j)\/j**9*(j**(3\/2)*j*j)\/(j*j\/(j**(5\/2)\/j)))**4 assuming j is positive.\nAnswer: j**(-532\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + 3 + 1)*(-3 - 1 + 5)*(t + t - t) as c*t + o and give c.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 756.705 grams to nanograms.\nAnswer: 756705000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**3 - 4*d**2 + 12*d + 51. Calculate h(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 366 and 150243?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, i: 1, k: 7}. What is prob of picking 1 k, 1 u, and 1 i?\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = y - 4305, -12915 = -2*c - c + 5*y. Suppose 6*s - c = -675. 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: Let r(s) = 6*s + 21. What is r(33)?\nAnswer: 219","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 23*c**2 + 13*c + 15. Let u = 22 - 27. What is the tens digit of k(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 0*r + 1 + 3*r + 2*r**2 + 0*r**2. Let g(k) = -608*k - 37091. Let n be g(-61). Give y(n).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 4 + 4 + (0 + 10 + 2)*(-2 + 2 - 1))*(4*a - 2*a + 4*a) - 1 + a - 3*a - 4*a in the form m + k*a and give k.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 926684469*l - 6 + 3 + 3 - 926684469*l + 3*l**2.\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 1 a when three letters picked without replacement from {a: 5, v: 1, z: 1, x: 4, l: 1}.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*h = -h + 4 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16 and 56072144?\nAnswer: 56072144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-24 - -21)\/(6 - 2). Which is the third smallest value? (a) 1.6 (b) 0.5 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76170 - 17290 - 16526 = -2391*p for p.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 - 13 = 10*c. Let y(n) = n**3 - 10*n**2 - 2*n + 19. Let l be y(10). Let v be 12\/20*(l - (3 - 3)). What is the nearest to 1\/5 in -1, v, c?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - t + i + 5 = 0, -4*i = 5*t + 20. Sort t, -2, -3, 1 in decreasing order.\nAnswer: 1, t, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-one quarters of a kilogram in grams?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 9947.5 to the nearest 100.\nAnswer: 9900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.056 * 35\nAnswer: 1.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1211132121002 + 2?\nAnswer: 1211132121004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -973336 + 1.2.\nAnswer: -973334.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 688269479?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12*(-1)\/6*2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-27)\/(-6) + -5)\/(1\/(-18*1)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -4*l - 3. Let f be g(-7). Suppose 6*u + f = 11*u. Solve u*w + 9 = -6 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - x = -0*x, -4*y + 2 = 2*x. Let r(m) = 3*m + 1. Let n be r(5). Let h be (12\/n)\/((-15)\/(-40)). Sort y, h, -5 in increasing order.\nAnswer: -5, y, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7075, -28186, -63363, -112606, -175915?\nAnswer: -253290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 145 = 5*g + j + 34, -3*j - 107 = -5*g. Suppose 4*w = 3*l + g, -4*w + 8 = -0*w + 4*l. Suppose w*t - 54 = 6. Does 5 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7065822.\nAnswer: 2, 3, 1177637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7335.94 - 4.\nAnswer: -7339.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -427 + 467. Calculate the lowest common multiple of 140 and w.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5907 - -5907. Is 3795 at least as big as r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3285517325?\nAnswer: 5, 17, 89, 86861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 7 = -3*m + 4*m, -5*m - 43 = 3*k for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2 + 3)\/(1\/(-571)). Let j = -13130\/23 - h. Let x = j + -35\/92. What is the nearest to x in 0.3, -3\/2, -2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 8, 21, 36, 53?\n\"Answer: p**2 + 10*p - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**2 - 9*z. Let v be l(9). Suppose 4*o - o - 765 = v. Suppose u = b + o, 0*b + 3*b = 4*u - 1022. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24631 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*a**2 - 15*a**2 + 274254*a - 274165*a.\nAnswer: -a**2 + 89*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 319272097 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1488503321 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -11 - (379 - 381).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 121289 - 71769. Suppose 0 = w - 2*t - 51165 - k, 0 = 2*w - 3*t - 201368. Suppose -28681 = -i - w. Round i to the nearest 10000.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 396*f**2*m - 3860*f**2*q**3 - f**2*q - 2*m*q**2 + 2*m*q - 10*q**3 + 41*q wrt q?\nAnswer: -23160*f**2*q - 4*m - 60*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10873801.17 + -68358.13. Let g = z - -10942160.19999926. Let m = g - 0.9. Round m to seven decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 55*y + 6. Let q(r) = 13288*r**2. What is x(q(n))?\nAnswer: 730840*n**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*m**5 - 33*m**4 + 6*m**2 - 136*m wrt m?\nAnswer: 120*m**2 - 792*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tjqqjqqtqjjtqqttq. What is prob of sequence jtqt?\nAnswer: 4\/357","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*-2*(-8)\/48?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 4*o**3 - 9692*o**2 - 3379240*o + 6797216 = 0.\nAnswer: -311, 2, 2732","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:55 AM and 1:23 PM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 21 + -30. Let a be u*1\/3*1. Let v(s) = -s + 1. Let t be v(0). Sort t, a, 3 in increasing order.\nAnswer: a, t, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43558 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -5*m**2. Let d(h) = -2*h**2 + 50*h. Calculate d(y(q)).\nAnswer: -50*q**4 - 250*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 3*o**2 - 2 + 6*o - 7.\nAnswer: 3*(o - 1)*(o + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 54 and (-24)\/(-1) - (-6 + 10).\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-49)\/(-245) + (-116)\/180?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15 + 59\/4. Let z = 7.85 - 0.35. Let w = z - 8. Which is the second biggest value? (a) -0.2 (b) w (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/12 + (-64)\/(-768)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 24b5632 - -2?\nAnswer: 24b5634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 19\/4 of a century?\nAnswer: 5700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 19\/15 + (-34)\/(-85) - 5\/30\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -5*b**3 - 5*b + 2. Let i(n) = 8*n**3 + 7*n - 3. What is -5*i(l) - 7*q(l)?\nAnswer: -5*l**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2356 and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -73, 4, -1.\nAnswer: -73, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 w when four letters picked without replacement from {t: 5, w: 9, r: 2}.\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*r - 2*r - 4*r)*(1 - 1 - 2*r + 41*r + 308 - 308 + (0*r + 2*r - 3*r)*(2 + 2 - 2) + 0 + 0 - 2*r - r + r + 2*r + (3*r + r - 6*r)*(0 - 4 + 2)).\nAnswer: -82*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 932119?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - -7 - (3 + -1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 759 = 6*w. What is w rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w - 1. Let l(n) = -2*n**2 + 2*n - 4. Give -5*g(s) + l(s).\nAnswer: -2*s**2 + 7*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10978 - -10676.18. Let h = b - -302. What is the closest to 3 in h, 5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 5948, 47649, 160848, 381293, 744732, 1286913, 2043584?\n\"Answer: 5958*p**3 + p**2 - 8*p - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*-360772.\nAnswer: 360772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -x**2\/6 - 3641*x\/6 - 3030 = 0.\nAnswer: -3636, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(3)*1 + 5)**2.\nAnswer: 8*sqrt(3) + 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-12)\/9*(-33543)\/6. Suppose 1 = -3*d + w + 8, 5*d - 11 = w. Suppose z = -d*q - 146. Round q to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iv when two letters picked without replacement from {n: 2, v: 5, i: 2}.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3 - 6*s**2 - 8*s - 6. Let f(o) = -o**3 + 8*o**2 + o - 3. Let a be f(8). Suppose -d + a = -2*d. What is the remainder when 26 is divided by h(d)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 3*c + 12 = 0, -230*b - 143*c - 712 = -231*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(175) + sqrt(175) + -2 + sqrt(175) + sqrt(175)*-2 + -4)**2.\nAnswer: -60*sqrt(7) + 211","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - -32 - (-23 - (21 - -30)).\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -132*h + 265*h - 47 = 136*h - 2*q, -7*h - 5*q - 61 = 97 for h.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 1 - 5*x**2 - 3 + 77*x + x**3 - 73*x. What is the smallest common multiple of 18 and m(5)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + 0 - -7 - (21 - 13)) + -11.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 121437 and 99.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -327 + 330. Suppose -f*q - 20*q = 2*q. Solve -2*p - 2*k - k = -5, q = k - 1 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1249189 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6250, -25461, -57474, -102289, -159906, -230325?\nAnswer: -313546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4676 is divided by 57.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 18 = 2*k. Calculate the common denominator of 54\/(-16) + 18\/k and -85\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**4*b**(-16)*(b*b**(-3\/8))**(1\/4) assuming b is positive.\nAnswer: b**(-379\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18154, -18160, -18168, -18178, -18190?\nAnswer: -18204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, -247, 2, 18, 0.\nAnswer: -247, -3, 0, 2, 4, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 185 + -18627?\nAnswer: -18442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -387*p - 17. Let y(s) = 773*s + 42. Give -5*o(j) - 2*y(j).\nAnswer: 389*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4626630?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -23917485 - -1.315\nAnswer: -23917483.685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -76*v + 2041. Is 170 a factor of q(17)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 32 - -19. List the prime factors of h.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is ed + -3?\nAnswer: ea","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes before 10:17 PM?\nAnswer: 2:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -9, 4, 0.05278929, 1\/7?\nAnswer: 0.05278929","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 474 and 37130?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 5) in base 16?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -36 (b) -3 (c) -1 (d) -2\/93 (e) 2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**1\/r**(-2))\/(r**(-2\/9)*r*r*r\/r**4*r*r)*r*r*r\/((r*r**2)\/r)*r*r\/(r**(1\/4)*r)*r**1\/r**(-1\/13) assuming r is positive.\nAnswer: r**(2363\/468)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 85144 and 18?\nAnswer: 766296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -24*s**2 + 39*s + 12. Let l(h) = -13*h**2 + 20*h + 7. Let y(k) = -6*d(k) + 11*l(k). Calculate y(6).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 26 + -16. Let y be (-6)\/(-69) + 779\/1886. What is the third biggest value in y, -3, k, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 922*v + 34*v**2 + 447*v + 475*v + 4.\nAnswer: 34*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 17\/4 of a litre?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 4, x: 4, e: 2, r: 4}. What is prob of picking 2 n?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1564916 a multiple of 76?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 10234, 10232, 10230, 10228, 10226?\n\"Answer: -2*l + 10236","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 + 2 = -i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.2 - 0.1. Let g = 2.37004 - 0.07004. Put -0.2, f, g in descending order.\nAnswer: g, -0.2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.61 - -104.39. Let n = 254262059 - 254261951.999953. Let a = c - n. What is a rounded to 5 decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14.3 - 14. Let p = -1.3 + u. What is the closest to 1\/4 in p, 5\/2, 4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3243299?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 - 10?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5752 and 899.\nAnswer: 5171048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 267 + -124. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3323 - 20?\nAnswer: -3343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(-6) - 1\/3. Let t be 8\/(-2) + (-26)\/(-6). Factor t*r**2 - 1\/3*r**3 + d*r - 1\/3.\nAnswer: -(r - 1)**2*(r + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/12 - (-175)\/42. Suppose 0 = -r - w - 4 + 7, -5*r - 3 = -g*w. Suppose -l = -6 - r. What are the prime factors of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18673 divided by 7.\nAnswer: -18673\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 41.11419 + -91.1144. Let j = 50 + m. What is j rounded to 4 decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 v when three letters picked without replacement from rravv.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m - 6 - 10. Is (m*7\/21)\/(1\/48) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/4 + (-1035)\/84. Let g = z + 426\/35. Let m = -0.009 - -4.009. What is the closest to g in -5, -0.3, m?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**2 + 3*h. Suppose 95 = 3*r + 5*t, -3*r + 4*t = -2*r - 60. Let i(w) = -6*w - 37*w**2 + w - 3*w + r*w**2. Determine 3*i(x) + 8*u(x).\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -55 - 110. Does 11 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -3*b. Let y(z) = 1. Let h(a) be the third derivative of 0 + 0*a**4 - a**2 + 1\/60*a**5 + 1\/3*a**3 + 0*a. Let s(t) = h(t) - 2*y(t). Determine s(i(c)).\nAnswer: 9*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 207993487 to the nearest integer?\nAnswer: 14422","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 12 = y. Let r = 27 + y. Suppose d + r = 4*d. Solve d*v = 5*x + 30, -3*v - x + 0*x + 10 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the first derivative of 75*y**2 - 19*y + 9. Let k be l(6). Suppose 0 = t + 2*j - k, -3*j - 3479 - 78 = -4*t. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 9*t**3 + 348*t**2 - 1263*t - 112. Determine q(-42).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -134\/3 - -45. Let n be 884\/48 + -17 + 6\/(-8). Which is the nearest to 0.3? (a) 3 (b) s (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(((-1)\/2)\/((-82)\/8 - -11))?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 102 - 107. Let x(s) = 8*s**2 + 112*s + 387. Let u(p) = 52*p**2 + 728*p + 2516. Let z(f) = l*u(f) + 32*x(f). Factor z(b).\nAnswer: -4*(b + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -1, 7017, 5, -3\/2, 1, 13?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/39 and 88\/3423.\nAnswer: 44499","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 + -4. Let g = -464 - -773. Let q = g - 300. Which is greater: q or c?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44.4183 millilitres in litres?\nAnswer: 0.0444183","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 2) to base 11\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-12))\/(8\/64*-2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-85)\/(-34)*(-4)\/10?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2870 and 820?\nAnswer: 5740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 189666, 379330, 568994?\n\"Answer: 189664*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12.2 - -13. Let y = -0.83 + m. Let i = 0.03 + y. What is the third smallest value in i, 3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2580 + 30989\/12. Find the common denominator of -113\/6 and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (360\/990)\/((-18)\/(-11))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + i = -8691 + 3881, 5*i - 4798 = 4*o. Which is smaller: -1211 or o?\nAnswer: -1211","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-2\/3)*g**1*g**(4\/3)\/g*g\/g**(4\/13))**40)**37 assuming g is positive.\nAnswer: g**(78440\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11 + 7*j**2 - 6*j**2 + 41 to the form s*j**2 + a*j + d and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b**3 - b**5 + 0*b**3)*(4 - 4 + 3) - 4*b**5 - 13 + 13.\nAnswer: -7*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/(-6))\/(-3) + (-676)\/104.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -127, -88, -47, -4, 41?\n\"Answer: w**2 + 36*w - 164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 2*l**3 - 195*l**2 - 97*l - 124. What is a(98)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -404151, -4, -2.\nAnswer: -404151, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, 0.1, -48483883 in ascending order.\nAnswer: -48483883, 0.1, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6988 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8, 71, 276, 667, 1304, 2247, 3556, 5291?\nAnswer: 7512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -43, -73, -93, -109, -127?\nAnswer: -153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the second derivative of 0*n**2 - 1\/100*n**5 + 0 - 1\/5*n**3 + 1\/12*n**4 - 133*n. Factor j(k).\nAnswer: -k*(k - 3)*(k - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r**2\/2 + 48*r + 99\/2 = 0. Calculate r.\nAnswer: -1, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 = 3*j - 5*a, -16 = 4*j + 78*a - 73*a for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1672 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-4)*o**(-5))\/((o\/(o\/(((o\/((o*o**0)\/o))\/o*o)\/o)))\/o**(-3)) assuming o is positive.\nAnswer: o**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*y + 54*y + 126 = 0 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2528*i*j**3*z**2 + i*j*z + 533*j**3*z + 2*j*z wrt z?\nAnswer: 5056*i*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5)\/(-2)*(0 - 2). Let w = -3 - a. Suppose p = -2*b + 12, -w*b - 2*b + 30 = 3*p. Is 5 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the third derivative of 3*w**8\/2240 - w**5\/15 + 3*w**4\/8 + w**2. Let h(v) be the second derivative of p(v). What is the derivative of h(o) wrt o?\nAnswer: 27*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the second derivative of 6*h**6\/5 - h**5\/10 + h**4\/3 + 4*h**3 - h + 76. What is the third derivative of u(n) wrt n?\nAnswer: 864*n - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -979.214582886 - 4356941.784827114. Let b = g + 4357954. Let q = -33 + b. What is q rounded to 4 decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q**(2\/9)*q*q)*q)\/(q\/q**6)*q\/q**(-4)*(q*q*q\/(q**(-2\/3)*q)*q*q)\/q assuming q is positive.\nAnswer: q**(121\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 8 = 32. Is 8 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**(-2\/7))**(-38))**(-48) assuming n is positive.\nAnswer: n**(16416\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (0 + 2) - (47 + -44)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**3 + 9*v**2 + 9*v - 57. What is the remainder when q(5) is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 35*s = -38*s - 38, 6*c - 3*s = 102 for c.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 349 - 391. Which is bigger: a or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - 2*f + 10 = 0, 5*v - 203 = 4*f - 184 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1637383.\nAnswer: 11, 148853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -4 + 26. Put -0.5, t, 4 in decreasing order.\nAnswer: 4, -0.5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3365866?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/(18\/92) - 196\/(-294). Solve -3*y - 4 + v = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -p**4 + 984*p - 965*p - 25*p**4 - 71*p**4 + 2 to j*p**2 + k*p**4 + b + u*p**3 + g*p and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -155 + 156.128. Let q = -177 - -177.202. Let c = q + w. What is c rounded to 1 dp?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 5*h**4 - 120*h**2 + 320*h - 240 = 0.\nAnswer: -6, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 753 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -24\/5? (a) 5 (b) 1 (c) 1\/8 (d) 2 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t - 1. Let o be f(1). Suppose o = -3*a + 31 + 5. Let v(g) = g + 23. What is the remainder when v(a) is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = -5*v - 7 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 66.04179ml in litres?\nAnswer: 0.06604179","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -245.3 and 537.5?\nAnswer: -131848.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -3*p + 6*p + 0*p - 3. Suppose x + 1 = 4. Suppose -3*t = -0*b - 3*b + 21, -4*b = -x*t - 24. What is s(b)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*((sqrt(72) - (sqrt(72) - -3*sqrt(72))) + sqrt(72) - sqrt(72)))\/sqrt(6)*-4)\/(sqrt(6) - (sqrt(6) - sqrt(24))*-3 - sqrt(42)\/sqrt(252)).\nAnswer: -144*sqrt(2)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 150433 to the power of 1\/2, to the nearest integer?\nAnswer: 388","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31 and -23\/1333.\nAnswer: 1333","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 13\/12 (b) 2 (c) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -383727, -767481, -1151235?\n\"Answer: -383754*a + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/16*39*25004\/(-6251).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together -387 and 5.\nAnswer: -382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -102500831 to the nearest one million.\nAnswer: -103000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 3*u - 414 = 0, 3*u = -0*d + 3*d - 234. List the prime factors of d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 188916 and 3114?\nAnswer: 566748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 15 = 3*m, -6 = -3*m - 2*z - 0. Suppose 218 = k + 4*a, 0 = 2*k - 2*a - m*a - 406. Let r = k - 138. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3717 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: Solve -3*s + 2 = 3*w + 5, 0 = -5*w + 3*s - 37 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, p: 8, c: 6}. Give prob of sequence pp.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -927965, -927966, -927967?\nAnswer: -927968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**3 + 6*c**2 - 10*c - 4. Let b be y(-7). Suppose -5*d = 4 + 11. Sort d, -2, b in ascending order.\nAnswer: d, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*t**3 - t**2 + 12*t**3 - 10*t**3.\nAnswer: -t**3 - t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 50*c**4 + 210*c**3 - 192*c**2 + 40*c.\nAnswer: 2*c*(c + 5)*(5*c - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 86022121 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/(-4)*2)\/(-17). Let l = -8\/497 + -7183\/16898. Let a = j + l. Is a < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the first derivative of -n**8\/13440 + n**3\/3 + 27*n**2\/2 + 55. Let b(w) be the third derivative of f(w). Factor b(m).\nAnswer: -m**4\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -2*f + 8. What are the prime factors of c(-5)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 59, -12, 5, -2 in decreasing order.\nAnswer: 59, 5, -2, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -832*q**2 + 13*q + 281. Let g(m) = -836*m**2 + 14*m + 278. Let n(r) = 12*g(r) - 13*u(r). Find the second derivative of n(k) wrt k.\nAnswer: 1568","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 114*p**3*r + 198*p**2*r - 24*p + 13*r + 64732 wrt p.\nAnswer: 342*p**2*r + 396*p*r - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 196577\/4 - 49144. Factor -l + 1\/4*z + 1\/2*z**2.\nAnswer: (z + 1)*(2*z - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 10*g - 5*g - 64073 = 0, 128158 = 2*f - 2*g. Suppose 3*x - f = -11*x. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3097 (base 11) to base 6.\nAnswer: -30551","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6923000577 to the nearest integer?\nAnswer: 83205","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-3))**(-7\/3)*f**5*(f\/(f\/f**(2\/7))*f)\/f assuming f is positive.\nAnswer: f**(86\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(4\/3)\/c)\/c)**(-29) assuming c is positive.\nAnswer: c**(58\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 236, 364, 500, 650, 820?\nAnswer: 1016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**3 + 4*j**2 + 2*j - 1. Calculate v(-8).\nAnswer: -273","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4594500 divided by -51050.\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 34, 0, -12 in ascending order.\nAnswer: -12, 0, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 86 - 84. Suppose t*s = 10, 2*x - s - 151 = x. What are the prime factors of x?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 198 + -100. Suppose 4*t - 2*z - 14 = g, 2*z = -2*t + 68. List the prime factors of t.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1027, -1353, -1709, -2089, -2487, -2897, -3313?\n\"Answer: s**3 - 21*s**2 - 270*s - 737","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (12\/16)\/1*4. Suppose -254 = 5*z - p - 2937, u*z + 4*p = 1619. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**2 + 7*m - 5. Let j be t(-8). Let v = -5 - j. Does 8 divide v\/28 + (-594)\/(-21)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 133297 + -69861. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1553913230.\nAnswer: 2, 5, 163, 953321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.032956 + -0.032956. Suppose -10 = n + 4*n. What is the closest to i in 1, n, -8\/13?\nAnswer: -8\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the third derivative of y**4\/24 + 11*y**3\/6 + 8*y**2. Let r be n(-7). Which is smaller: r or 6?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1576 - 450994388607.\nAnswer: -450994387031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.1 - -0.3. Let c = -2.53 - 1.7. Let n = c + 0.23. What is the second smallest value in -0.1, n, y?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - -4. Suppose -o + 1 - s = 0. Let l(i) = 2*i + 4. Give l(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -197 = -5*f - 2. Let k = f + -19. Let c = k - -30. What is the remainder when c is divided by 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4758.\nAnswer: 2, 3, 13, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*w**2 + 1 - 4*w**2 + 2 as g + y*w**2 + d*w and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 1, 22, 0.12?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/(j*j\/(j**(1\/4)\/j)*j*j))**(-28))**(-14))**(7\/10) assuming j is positive.\nAnswer: j**(-1029)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 44104 to the power of 1\/2, to the nearest integer?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21*z + 18*z + 11*z + 5 to the form g + u*z and give u.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -86273*i - 86276*i + 172541*i.\nAnswer: -8*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13 + 23. Find the third derivative of 0*k**4 + k**4 + 2*k**4 - k**4 - i*k**2 wrt k.\nAnswer: 48*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 8 = 3*w - 6, -5*x + 10 = -5*w. Suppose -3*s + x = -2. Suppose -s*a = 2*a - 240. Is a a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the third derivative of -v**5\/60 - 17*v**4\/24 + 13*v**3\/2 - v**2. Let o be p(-16). Is 4\/(-6)*(1 - o) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 (base 13) in base 6?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 5*j - 136. Calculate h(-76).\nAnswer: -516","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**3 - 6*m**2 + 23*m + 50. Give i(-8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 3*n**3 + 8*n**2 + 5*n + 2. Let q(z) = -7*z**3 - 16*z**2 - 9*z - 4. Let h be (-17)\/(119\/(-42))*(-2)\/(-6). Let b(r) = h*q(r) + 5*u(r). Determine b(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-124)\/1395)\/((-8)\/(-20)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*j**2 + j - j)*(-3 + 6 - 4) - j**2 - 9 + 12 - 5.\nAnswer: 7*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 420 and 31788?\nAnswer: 1112580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2705 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -2*c - 7*d + 3*d, 4 = -4*c - 4*d for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 + -9. What is the highest common factor of c and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p = -13*o + 83, 5*p - 39 = 3*o - 99 for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.7 in 0, 29, -4, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3286314*z - 5*z**3 + 25*z**3 + 3286312*z.\nAnswer: 20*z**3 - 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -3, -5, 5, -19 in descending order.\nAnswer: 5, 2, -3, -5, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1068776*h + 2116 = -1068684*h for h.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 119607 + 31500. Let s(h) = -223492*h - 175401*h - c*h. Let v be s(-3). Round v to the nearest one hundred thousand.\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = d + 332 + 247, l + 3*d = 119. Suppose 0*t = -4*t + l. Suppose -z + t = 5. Does 17 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 60453?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*o**3 - 30335 + 30104 + 6*o**3.\nAnswer: 4*o**3 - 231","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1714473 (base 13) in base 14?\nAnswer: dc4175","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18, 118, 326, 666, 1162, 1838, 2718?\nAnswer: 3826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (-15 + (-819)\/(-65))\/((-6)\/17320) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -480907*l**3 + 164613*l wrt l?\nAnswer: -2885442*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (16\/(-5) + 2)\/((-9)\/30). Let f be (-6)\/((-180)\/95) + 10\/(-4). Find k such that -2\/3*k**d + 0*k - 2\/3*k**3 + 0 + 2\/3*k**5 + f*k**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:48 AM and 1:40 PM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**2 + 7*g + 4. Let y be q(-8). Let j = -29 + 34. Suppose -j = -i - 1. Solve i*d - y = d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5, 8, 43, 112, 227, 400, 643?\nAnswer: 968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.2 (b) 8 (c) -124 (d) -0.4 (e) -51 (f) -2\/7 (g) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0519 * 0.03.\nAnswer: 0.001557","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:30 AM and 5:01 AM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2727657.\nAnswer: 3, 303073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 832266059 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(272)*-1.\nAnswer: -8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7858221 is divided by 213.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*s - 47*s - 22806 = 0. Suppose m - 688 = s. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26991264?\nAnswer: 2, 3, 281159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 20*k**2. Let w(z) = 44*z**2. Determine s(w(n)).\nAnswer: 38720*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 + 138?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -229*l. Let f(m) = m**2 + 4*m - 1. Let v(r) = -6*r**2 - 20*r + 5. Let o(p) = -5*f(p) - v(p). Give i(o(t)).\nAnswer: -229*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0\/1*(5 + -4). Suppose l = v - 3*v + 38. Let c = -6 + v. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 59760 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 25\/4 of a millimeter?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 55 and 78848.\nAnswer: 394240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*t - 2129*w + 2127*w - 10, -2*t + 25 = -5*w for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 8\/1439, -3, 2\/23?\nAnswer: 8\/1439","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7990 = -24*m + 4*m - 7190. Calculate the greatest common factor of 1208 and m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15 * -0.5\nAnswer: -7.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.1 (b) -2 (c) 0.03 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 153, 182, 259, 408, 653?\nAnswer: 1018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 223520 divided by 254\nAnswer: 880","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = 2*k + 238. Round k to the nearest ten.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 486573102?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the second derivative of 0*p**5 + 0*p**2 + 0*p**3 + 5\/12*p**4 + 0 + 3*p - 1\/15*p**6. Find the third derivative of y(t) wrt t.\nAnswer: -48*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s + 15. Let l be i(12). Let p = -5.036 + 0.036. What is the third smallest value in 3\/7, p, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-210)\/(-28)*6\/25*5.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/1 + 3\/((-6)\/(-14)). Suppose -v*o + 8*o = 2. Put o, -2\/5, 0.04 in decreasing order.\nAnswer: 0.04, -2\/5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 19, -1\/3, 7017, -1\/2, 0.4, 0 in descending order.\nAnswer: 7017, 19, 0.4, 0, -1\/3, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.17 from 1820.\nAnswer: 1819.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*g + 3*r, 19*g - r = 21*g - 5. Solve 0 = z - b - g, -4*z - 5*b = 7 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 + 9*y**2 + 2*y - 15. Give z(8).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1688730555 to the power of 1\/4, to the nearest integer?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**1*i\/(i**(-1\/7)*i)*i**(-4)\/(i**(-2)\/i) assuming i is positive.\nAnswer: i**(1\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -9741623.69 rounded to the nearest one thousand?\nAnswer: -9742000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/2*11\/385*-7\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k + 11. Let b be d(-12). Calculate the common denominator of -23\/4 and 170\/72 + b\/(-4).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2888983 is divided by 517?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58*l**2 - 91*l**2 - 5 + 0 + 5.\nAnswer: -149*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1897032 (base 11) to base 9\nAnswer: -6018056","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -25416.003997 - -25416. Round u to 3 dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*-3*860\/180.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in one quarter of a millisecond?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 679 is divided by 114?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12180*p = 12220*p + 25 - 825 for p.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-645*i**2 + 650*i**2 + 0*i - 5 + 6*i)*((0 - 4 + 3)*(3*i + 3*i - 4*i) - 4 + 4 - 2*i + 26 + 2*i - 26).\nAnswer: -10*i**3 - 12*i**2 + 10*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104*z + 52*z + 54*z = -5*j - 5, 5*z - 180 = 46*j - 17 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -8*l + 4*l. Suppose 778 = 2*x + l*j + 59, -1453 = -4*x - 3*j. What is the tens digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 + 0. Sort -1\/2, u, -5, -1\/5 in ascending order.\nAnswer: -5, u, -1\/2, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z**2 + z**2 + 3*z**2)*(2*z**2 - 2*z**2 + 2*z**3).\nAnswer: 6*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gqbr when four letters picked without replacement from crqrcqrrccbrbggcgrc?\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 53\/315 + -2\/35. Let j be (-30)\/(-56) + (-1)\/4. Sort -0.3, j, p in increasing order.\nAnswer: -0.3, p, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**3 + t**2 + t + 14. Let p be f(0). Let r = p + -15. Let i be r\/((2\/4)\/(-1)). Solve 5*v - 5*s + 23 = 8, 16 = -4*v + i*s for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11144 + 11157. Sort 39, 2, w in ascending order.\nAnswer: 2, w, 39","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 2*b**3 - 9*b**2 + b - 6. Let a be z(6). Suppose -5*k - p + 5*p = -349, 3*k = p + 215. Let g = a - k. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*c**2 - 818*c - 1486.\nAnswer: 4*c - 818","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4 - ((-4)\/24)\/(4\/(-108)). Let j = 26 - 18. Let a = 8.8 - j. Is u at least a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-324)\/(-14))\/(-3) - 2320\/(-290)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 1172 (b) 0.3 (c) -4 (d) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 252649 to the nearest integer?\nAnswer: 503","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -4e101 (base 16) to base 9\nAnswer: -536542","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 5*x + 387 = 0, -2*x + 90 = 2*g - 660. Does 13 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, y: 1, r: 3, b: 2}. Give prob of sequence erby.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the first derivative of d**4\/4 + 7*d**3\/3 + 9*d**2\/2 + 3*d + 10. What is x(-6)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 916.6668kg in tonnes?\nAnswer: 0.9166668","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85 is divided by 44?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, 1\/5, -2, 3 in decreasing order.\nAnswer: 3, 1\/5, -2, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1653412.2 nanoseconds to minutes.\nAnswer: 0.00002755687","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f - 1. Let i(c) = 3*c**2 - 3*c + 3. Let x(d) = 6*g(d) + 2*i(d). Let o = -57 + 59. Let j(z) = -z - o*z - 4*z + z. What is j(x(l))?\nAnswer: -36*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 19 and 9575643?\nAnswer: 181937217","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -8*c**3 - 4*c**2 - 18. Let v(k) = 8*k**3 + 3*k**2 + 17. Suppose -11*q + 8 = -9*q. Let i(p) = q*v(p) + 3*s(p). Differentiate i(j) wrt j.\nAnswer: 24*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6bda (base 15) to base 2\nAnswer: -101100110010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 - 9. Suppose y = 3*p + 4*t - 2, 0 = -6*t + 2*t + 8. Let w(n) = n**2 + 5*n - 6. Let x(m) = m**2 + 5*m - 6. Let s(o) = p*x(o) + 3*w(o). What is s(-5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11592307 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 64733 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.02663 times -2716\nAnswer: -72.32708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -24 - -7. Suppose d + 130 = 5*g, 0 = d + 3*g + 33 + 73. Let f = d + 96. Which is greater: c or f?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1137070 rounded to the nearest one hundred thousand?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -442 + -111334?\nAnswer: -112220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 126 > -9740?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:10 PM and 3:45 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 78 + 69 = 0. Calculate the remainder when 40 is divided by m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9352692 divided by 2338173\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 403\/(-10) + (39833\/610 - 65).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/15*51 + -3.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -56054 > -56054?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 29 = -9. Suppose t + k*s = -12, -3*t = -7*t + 5*s + 77. Calculate the highest common divisor of 13 and t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - 9*z + 1070. Is z a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - 2*l - 4, -5*s + 2*l + 22 = l. Suppose -4*q + 37 = 3*n + q, 5*n - 5*q + s = 0. Suppose j + n = 7. Solve j*f = -y - 17, y - 2*y + 3 = -f for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:02 PM and 9:26 PM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 3*o**3 - 6*o**2 + 8*o - 7. Let x(g) = 2*g**3 - 4*g**2 + 6*g - 5. Determine -5*n(s) + 7*x(s).\nAnswer: -s**3 + 2*s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/8)\/((-18)\/(-24))*(-109)\/(41965\/9790)?\nAnswer: -89\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-330968)\/(-132)*(-1 - (-5)\/2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 15 - 5 = 0. Let k(d) = -d - 1. Suppose 4*x + t - 17 = -0*t, 14 = 3*x + t. Let i(b) = -2*b - 2. Determine g*k(h) + x*i(h).\nAnswer: -h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1557730, -1557770, -1557822, -1557892, -1557986, -1558110, -1558270?\nAnswer: -1558472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -17 (b) 0.2 (c) -1\/8 (d) -2 (e) -44 (f) -185 (g) 1\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes before 3:28 AM?\nAnswer: 6:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 373 is divided by 302.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the third derivative of x**5\/60 + x**4\/3 + 7*x**3\/6 - 2*x**2. Let o be k(-7). Let p = o + 31. Does 14 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10000645 and 48190.\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-44086)\/(-402) - ((-1064)\/42 + 25)?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -10*a**2. Let h be ((-2)\/(-6))\/((-64)\/960). Let i(m) = 10*m**2. Calculate h*g(o) - 4*i(o).\nAnswer: 10*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(-20)\/b*b*b*b**23)\/(b**8)**20)**(-32) assuming b is positive.\nAnswer: b**4960","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -28.74 and -0.11.\nAnswer: 3.1614","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40308*z + 256977*z - 115586*z + 235873*z.\nAnswer: 417572*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1034, 5248, 12648, 23234, 37006, 53964, 74108?\nAnswer: 97438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -175*f + 1781. Let v be d(9). Solve -3*x - 191 = -v for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85733 is divided by 8549?\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.2 + -2.7. Which is the second biggest value? (a) -0.2 (b) f (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -514 - 2293246.11?\nAnswer: -2293760.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 189282*l + 189285*l - 378567*l + 13*l**2.\nAnswer: 13*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**2 - p + 1. Let s be f(0). Let r be (6 - 4) + s*3. What are the prime factors of r*2\/((-20)\/(-18))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 2*u**2 - 1. Let j(s) = -s**3 - 7*s**2 - 7*s - 4. Let q = -21 + 15. Let y be j(q). Let k(r) = r**2 - r**y + 2*r**2. Give -4*k(p) + 3*m(p).\nAnswer: -2*p**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 - 0 - (5 - (23 - 10)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -5603834 != -5603834?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 65\/3*w**2 + 10\/3*w + 0 + 85\/3*w**4 + 20\/3*w**5 + 40*w**3 = 0.\nAnswer: -2, -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 0*c = 45. Let z = 18 - 13. Solve 3*h - u - c = 2*u, u - 25 = -z*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q + 0*q + q)*(5*q**2 - 15 + 15) + (-2*q**2 + 2*q**2 + q**2)*(7*q + 6*q - 2*q).\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -57 divided by -52698.\nAnswer: 19\/17566","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ew when two letters picked without replacement from {e: 5, w: 1, n: 4, f: 8}?\nAnswer: 5\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 + 3 = 3*i. Let v(f) = -4*f + 29. Let w be v(i). Suppose 2*l - w = -1. Solve k - 2 - 3 = l for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -412*l - 2250 = -10369 - 7949 for l.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 43\/(-86) - ((-55)\/14)\/5\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -51 + 52. Let v be (-2)\/((2\/(-3))\/1). Let k be ((-2)\/v)\/(2\/(-4)). Which is the third biggest value? (a) k (b) -2 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/3*9\/24. Let r = -3 + 3.5. Let y = -4233 + 38099\/9. Which is the biggest value? (a) m (b) r (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 394 is divided by 301?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 8 = -5*n. Suppose -8*g + n = -6*g. Which is the third smallest value? (a) 1 (b) 1\/8 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -2*x - 4. Let s be v(-4). Suppose -4*m - 24 = 2*i - s*i, -4*i = -2*m - 18. Suppose -17 = -3*b + i*f + 56, 4*b + 2*f = 88. Is 5 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4304*d - 30016 wrt d.\nAnswer: -4304","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -244*v + 57*v + 54*v + 60*v + 59*v + 208 as j*v + b and give b.\nAnswer: 208","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*c**5 + 24*c**5 + 13*c**5 + (-75*c**2 + 75*c**2 - 13*c**3)*(-2*c**2 + 0*c**2 - c**2) + (c**2 - 7*c**2 + 3*c**2)*(c**3 - c**3 - 2*c**3).\nAnswer: 86*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3784*b + 4*o + 3 = -3783*b, 0 = 5*b - 2*o - 15 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2696*d**2 + 16 + 435*d**2 - 16 + 6255*d**2 to a + f*d**2 + q*d and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 31*w = -1924. Find the second derivative of 42*q**2 - 15*q - 3 + 1 - w*q**2 wrt q.\nAnswer: -64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0738 to 2 decimal places.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 118.247*13.7.\nAnswer: 1619.9839","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 32\/45831 - 103264859\/10907778. Let k = -4\/119 + n. What is the common denominator of -73\/4 and k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the second derivative of -k**5\/190 + 25*k**4\/57 - 503*k**3\/57 + 814*k**2\/19 - 7754*k. Determine l, given that p(l) = 0.\nAnswer: 2, 11, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 58620 and 180?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120*j - 119*j - 1 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -252.8 or 0?\nAnswer: -252.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3312 and 225213.\nAnswer: 248635152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 27\/4*h**2 + 0 - 1215\/4*h + 39\/4*h**3 - 3\/4*h**4.\nAnswer: -3*h*(h - 9)**2*(h + 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(4 + sqrt(6)\/(sqrt(16)\/sqrt(8))*-3)*-5 + -1)**2.\nAnswer: -2460*sqrt(3) + 4381","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 4\/8*-1*0\/15?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 669 = 11*f - 35. Which is the closest to 0? (a) 3 (b) f (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 304.5 and 1566.\nAnswer: 476847","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 - -8. Suppose -4*c = 2*m - 32, -2*c + c - 2*m + p = 0. Suppose -c + 16 = 5*y, 3*y + 14 = 5*w. What is the remainder when 11 is divided by w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -20*t**4 - t**3 + t**3 - 100*t**2 + 19*t**4 + 165 with respect to t.\nAnswer: -4*t**3 - 200*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**12)\/s*s\/s**(-5) assuming s is positive.\nAnswer: s**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 348 = 2*d + 1209, 5*z + 2*d = 1533. Solve -6*o + 267 = z for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/2*8\/3. Let z = -4 - -6. Suppose 0 = -o*y - 5*d - 0*d + 47, -z*d = 4*y - 50. Calculate the highest common factor of y and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4785\/44 + 2\/8. Let o = j + -63. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*6\/(-27) + 13\/18?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 3*k**3 - 19*k**2 - 102*k + 58. Is 10 a factor of v(12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wknqqqqkqiqiqkqqwww. What is prob of sequence qwi?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v + 0 + 0)*(-v - 2*v + 4*v) - 52*v**2 + 2*v - 53*v**2 + 4 + 107*v**2.\nAnswer: v**2 + 2*v + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -415*-0.3\nAnswer: 124.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -21.1794 - -17.179454. Let z = 4 + s. What is z rounded to five dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 4 + -8 + 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(3\/7)\/w**(-3)*(w**(-1\/3)\/w)\/(w**(-4\/7)\/w)*(w**(-1\/6)*(w\/w**(-6))\/w)**8 assuming w is positive.\nAnswer: w**(151\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 2014*i**2 + 6*i - 6. Let h be m(3). Let d be 4\/(-1) - h\/6. Let j = -2060 - d. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 5*q - 69 = 0, -3*k + 68 = -2*q - 45. Let z = k - 67. Let u be 4\/6 - 1180\/z. Calculate the greatest common divisor of u and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the third derivative of -l**9\/7560 - 11*l**5\/120 + 3*l**4\/8 - 5*l**2. Let v(m) be the second derivative of y(m). Differentiate v(f) wrt f.\nAnswer: -8*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes before 1:27 PM?\nAnswer: 2:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -203251.61 to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.04 - 2192678011.\nAnswer: -2192678009.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by 888\nAnswer: 1\/148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c - 1. Let t(b) = -2*b - 1. Let k(m) = 3*t(m) - 5*v(m). Give k(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 730059750.\nAnswer: 2, 3, 5, 7, 15451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + 1 + sqrt(11) + 4 - sqrt(11) - -3*(sqrt(33)\/sqrt(3) + sqrt(11)))**2*-1.\nAnswer: -564 - 70*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 11046 divided by 3\nAnswer: 3682","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 493 = -4*z + 481 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a + 532 - 107. Suppose -a = -6*v + v. What are the prime factors of v?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3107 and 5497.\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/(-10))\/((-14)\/(-7)).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 4*a**2 - 21*a - 245. Does 10 divide w(-11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -175*u + 2927. List the prime factors of k(0).\nAnswer: 2927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(-27)*t)\/t)\/(t\/(t\/t**22)*t) assuming t is positive.\nAnswer: t**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -z - p - 2, 0 = -3*z + p + 2 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the first derivative of 4*u**3\/3 + 38*u**2 + 72*u + 48. Suppose x(b) = 0. Calculate b.\nAnswer: -18, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4472 - 3412 - 5926)*(3*a - 3*a + a) as i + z*a and give z.\nAnswer: -13810","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaca. What is prob of sequence aa?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 456, 498, 460, 678, 1488, 3226, 6228?\nAnswer: 10830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -185*o**6 - 4941*o**6 + 3151141*o**2 - 3150259*o**2 wrt o.\nAnswer: -615120*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -2005*b. Let t(o) = o**2 + 8*o + 8. Let a(w) = 2*w**2 + 18*w + 18. Let s(p) = 4*a(p) - 9*t(p). Give c(s(f)).\nAnswer: 2005*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 509 - 504. Suppose -9*t - 20240010 = -7*t + w*l, 5*l = -5*t - 50600010. Round t to the nearest one hundred thousand.\nAnswer: -10100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 278 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: Round -3378960900 to the nearest one million.\nAnswer: -3379000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -75 + 72.6. What is the closest to 0 in 0.4, -2\/3, q?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 11396630770 to the nearest 1000000.\nAnswer: 11397000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1219 - 421. Suppose -14*y + k = 7*y. Round y to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-52 + 26 + 23)*(255 + h**4 - 2*h**2 + 3*h**5 - 255).\nAnswer: -9*h**5 - 3*h**4 + 6*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and 8819.\nAnswer: 88190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 9*s - 112. Calculate m(12).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 834623 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 3 - 5)*(5 - 5 + 5*z) + 2*z - 5*z + 4*z + 2*z + 1 - 1 + (-z + 5 - 5)*(2 + 2 - 3) + 223 - 6*z - 223 in the form o*z + s and give o.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes before 3:11 PM?\nAnswer: 8:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 29037907 and -0.07.\nAnswer: -2032653.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2500, -2493, -2498, -2527, -2592, -2705, -2878, -3123?\nAnswer: -3452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22916.\nAnswer: 2, 17, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (4 - (-2 + 0))*(-37)\/(-2)?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 61462802?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96 = -10*a + 864. Let i be 10\/(-3)*a\/(-160). Sort -4, -3, -24, i.\nAnswer: -24, -4, -3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -663851267 divided by 1?\nAnswer: -663851267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 - 11111100000?\nAnswer: -11111011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 - 4. Let i be (-30)\/x*24\/(-9). Let t = i - 8. Solve t*z + 3 = -z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1467)\/(-1141))\/(4\/(-84)).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 + 11. Is 2\/(j - (-1)\/14) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1.72, -106, -270, -1\/4, -1, -2?\nAnswer: -270","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13\/21 - 11\/14. Which is the closest to 2\/9? (a) m (b) 3\/4 (c) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 6*q - 21 = -4*x, 3*q + 36 = 3*x. Solve i - 5 + x = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -2*y**3 + 252*y**2 + 510*y + 256 = 0.\nAnswer: -1, 128","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 59496, -163, -5 in decreasing order.\nAnswer: 59496, -5, -163","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 848570?\nAnswer: 2, 5, 84857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/17 + 18\/153. Let o(l) be the first derivative of n*l**2 + 3\/4*l**4 + l**3 - 4 + 0*l. What is the third derivative of o(b) wrt b?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*j + 1776 = -27*j. Let b = j + -107. Solve -5*i + 3*f - b = 0, -5*i - 3*f - f - 18 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -65 - 5 + 1239*w + 69 + 1 to s + q*w and give q.\nAnswer: 1239","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-711)\/(-1422))\/(39\/6)\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.1397 - 4\nAnswer: -3.8603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 - 2)*(2*h**2 - 2*h**2 + h**2) + (-8*h + 10*h - 4*h)*(-5*h + 4*h + 0*h) + (-2 + 4 - 3)*(4 - 4 - h**2).\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1187 - -1493. Solve -r*b + 304*b = -4 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 749641 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 14432603771 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 32171 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -4880 times -5?\nAnswer: 24400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -10.75384 and -12?\nAnswer: 129.04608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the first derivative of 0*n**2 - n + 5 + 1\/30*n**4 + 2\/15*n**3. Let w(u) be the first derivative of t(u). Factor w(k).\nAnswer: 2*k*(k + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-16)*51\/((-459)\/(-24)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*z**3 + 5*z**3 - 2*z**3.\nAnswer: 9*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**2 + 10*b - 1676. What is i(16)?\nAnswer: -1260","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -31 + 44. Calculate the remainder when 302\/18 + w\/((-936)\/(-16)) is divided by 23\/4 - (-17)\/68.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63569 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1033, -1007, -997, -1009, -1049, -1123?\n\"Answer: -n**3 - 2*n**2 + 39*n - 1069","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 2, -5.5, 0.05, -1?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 452 divided by 899\nAnswer: 452\/899","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3616009\/10 + -361899. Let m = c - -298. Which is smaller: -3 or m?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 67 = 3*w, -8*b + 5*b + 197 = 5*w. Is b a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 32, -1, 2, -2, 17 in increasing order.\nAnswer: -2, -1, 2, 17, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -6\/5, -0.2, -0.3, 1056 in descending order.\nAnswer: 1056, 0.3, -0.2, -0.3, -6\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 650.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 268 = 277. Let t(g) be the third derivative of -r*g**2 + 0*g + 0*g**3 - 1\/24*g**4 + 0. Let a(f) = -19*f. What is t(a(l))?\nAnswer: 19*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22865?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 162401330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ci when two letters picked without replacement from {h: 4, c: 2, i: 2}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -11 and -0.615.\nAnswer: 6.765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2203, 8628, 19335, 34324?\n\"Answer: 2141*j**2 + 2*j + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -82\/33987789 and 191\/17888310.\nAnswer: 339877890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6 and 3236?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - ((4 - -14) + -3)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*3*((-24)\/6720*-20)\/((-133)\/(-98))?\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 2\/5, 0.3, 486, -1, -0.4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the second derivative of -p**6\/10 + 75*p**5\/4 + 96*p**4 - 1601*p. Factor k(t).\nAnswer: -3*t**2*(t - 128)*(t + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-10)*54\/216\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 186732 not equal to 186730?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:43 AM and 1:03 PM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -12*x**2 + 47*x - 2. Let z(q) = q. Give r(z(c)).\nAnswer: -12*c**2 + 47*c - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -78042, -78043, -78044, -78045, -78046?\n\"Answer: -t - 78041","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 597, 148, -593, -1626, -2951, -4568, -6477?\n\"Answer: -146*n**2 - 11*n + 754","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -2*m**3 - 19*m**2 - 10*m - 5. Let q be u(-9). Let c(d) = -2*d + 48. Let n be c(22). What is the first derivative of x**n + 26 - 37*x**q - 36 wrt x?\nAnswer: -144*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1292 and 172520?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 314 is divided by 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 653943739 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(1*(-1)\/3). Let o(l) = -49*l + 590. Let q be o(12). Let b be (-1 + 15\/w)*q. Solve -3*j - 5*c + 3 = 0, 3*j + 0 - 3 = -b*c for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 6 - 4 + (-3 + 3 - 2)*(0 + 2 - 3))*(8*d**2 + 7 + 1 - 7*d**2).\nAnswer: -d**2 - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-18)*x**(7\/4)*x assuming x is positive.\nAnswer: x**(-61\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 2*d = u - 18, 3*d - 3 = 4*u. Suppose -4*o - d*q + 47 = 0, o + 5*q = 5*o - 57. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/2)\/(((-295)\/(-30))\/59).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, 14836\/27, -4, 0.4?\nAnswer: 14836\/27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 28 - 126 = -2*s, m + s = -43. Is m greater than or equal to -48?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 745517, 2982082, 6709691, 11928344, 18638041, 26838782?\n\"Answer: 745522*s**2 - s - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -6*j**2 - 73*j - 70. What is s(-1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 698 - 692. Let k(z) = -22*z**2 + 10*z. Let y(d) = -7*d**2 + 3*d. What is j*k(h) - 20*y(h)?\nAnswer: 8*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9817?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -622 - -626. Let t = -6 + 10. Suppose r + y = p, -r - t*y - 5 = -3. What is the lowest common multiple of 14 and r?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:45 PM and 7:05 AM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*a + 52*a + 40*a + 9818 = 3194 for a.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 11460 to the nearest one thousand.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the first derivative of 1\/2*r**3 - 16*r - 14 - r**2. Let h(s) be the first derivative of c(s). Calculate h(4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.8 + 0.2. Let c = -35 - -19. Let j = c - -14. Sort j, 3, n in decreasing order.\nAnswer: 3, n, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 divided by -1894?\nAnswer: -77\/947","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1692808 divided by -130216.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -2*v - 5 - 4 + 1 + 2. Let a be k(-3). Suppose a = 3*g + 4*l + 2, l - 4*l + 9 = 4*g. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 668, 1324, 1972, 2612, 3244, 3868?\nAnswer: 4484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes before 10:17 PM?\nAnswer: 12:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express p + 5*p**3 + 0 + p**2 + 9 - 9 in the form y + f*p + b*p**2 + w*p**3 and give w.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**3 - 3*c**2 - c + 8. Let h be n(3). Let l be (h + 2 + -11)\/(5*-1). Suppose 2*z - 4 = -3*z - 3*d, 2*z - 6 = d. Is z at most as big as l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -250*f + 6. Let w(t) = 376*t - 7. Calculate 7*p(h) + 5*w(h).\nAnswer: 130*h + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) -0.7 (c) -3 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**2 - 1297*n + 88136. What is r(72)?\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -7. Suppose -3*g - 5*n = 9, 0 = 5*g - 58*n + 54*n + 15. Let v(z) = -z - 8. What is g*v(a) + 4*q(a)?\nAnswer: 3*a - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -4*b + 226, 2*o - 268 = -2*b + 5*b. Calculate the greatest common factor of o and 5375.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**2 - 3*z - 456. What is t(-19)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 5*y = y + 12, 20 = 5*y. Sort -5, 2, -3, l in descending order.\nAnswer: 2, -3, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**2\/5 + 542*c\/5 - 18096\/5.\nAnswer: -2*(c - 232)*(c - 39)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by -33506531.\nAnswer: -6\/33506531","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2\/83 - 259\/415. Which is the nearest to 5? (a) 1\/3 (b) -4\/5 (c) -2\/9 (d) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -68, -22, 34, 82, 104, 82, -2?\n\"Answer: -3*a**3 + 23*a**2 - 2*a - 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.1 - 0.9. Which is smaller: -1\/4 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-36)\/(-315)*10\/(-4))\/((-286)\/3276)?\nAnswer: 36\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7883.044 centimeters in nanometers?\nAnswer: 78830440000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82 = -18*n - 10. Let i(u) = -1 + u - 1 - 2*u. What is i(n)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10161?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -8*c + 10. Let i = 149 + -154. Let a be z(i). Calculate the highest common divisor of 10 and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3453 (base 8) to base 14.\nAnswer: 951","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q - 18. Let i be f(14). Suppose x = 3*r + 30, -2*x + 0*x = 3*r + 21. What is the remainder when 20 is divided by (i + 0)\/(r\/18)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and -44073.\nAnswer: 44073","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 - -5. Suppose z*r - r + 8 = 0. Is 6 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 776, 2\/9, 34\/829?\nAnswer: 34\/829","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2681 + -2678. Which is the second smallest value? (a) -2\/17 (b) t (c) -3\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14640254*c - 4880083*c - 4*c**2 - 4880088*c - 4880083*c.\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1014414 - 10?\nAnswer: -1014424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 2*x + 9. Let n be q(-3). Suppose n*t - 20 = -2*z, -t - 5*z - 9 = 6. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 14\/21*3 + 416\/(-11). Let n = x + 36. Which is the third smallest value? (a) n (b) -22 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1761053, -1761054, -1761055, -1761056, -1761057?\nAnswer: -1761058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 - -5. Suppose -5*p + y*c = -8, 2*p - 5*c + 0 + 12 = 0. Let l(i) = -10468*i**3 - 3*i**2 + i - 4. Let q be l(p). Round q to the nearest 100000.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 3*z + 43351 = 12933, -2*z - 60836 = -4*n. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-105)\/245*(-21)\/(-12). Which is the fourth smallest value? (a) -19 (b) f (c) -44 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-4) + -1*69\/60.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 148825836.\nAnswer: 2, 3, 153113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * -8\nAnswer: 0.8","meta":{"dup_signals":{},"source":"arithmetic__mul_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: Is 33107 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.03279436 to 4 dps.\nAnswer: 0.0328","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/17 + -4*2\/(-68). Solve 1\/4*k**3 - 1\/4*k + b + 0*k**2 = 0 for k.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -51\/2260 and (25808\/5424 - 5)\/(120\/(-9)).\nAnswer: 2260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*m**4 + 2 - 4 + 4 + (-2*m**2 - 2*m + 2*m)*(-3*m**2 + 2*m**2 + 0*m**2) + m**4 - 73*m**2 + 73*m**2.\nAnswer: m**4 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2022 (base 6) in base 3?\nAnswer: -121112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1536, 3 in descending order.\nAnswer: 1536, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.52286 to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 822*v**2 - 1183*v + 7. What is the hundreds digit of i(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bubp when four letters picked without replacement from {v: 1, b: 2, f: 2, u: 1, p: 2}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 13 = -3*z, 11*z + 113*c - 39 = 110*c for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20778, -20763, -20748, -20733, -20718, -20703?\nAnswer: -20688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - -5. Suppose g*k + 76 - 191 = 0. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 4*y**3 + 70*y**2 - 520*y - 8796. Give r(-18).\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1436 - 1435. Let f(m) = -m**3 - m**2 - m. Let p be f(-2). Let c = p + -4. Solve -s = -c*q + 1 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**2 - 4*q - 6. Let v be i(6). Factor -6*k - 6*k + v*k + 2*k**2.\nAnswer: 2*k*(k - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2735 to the power of 1\/2, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*b - 2*b - 2*b)*(4 + 0 - 6)*(16*b - 23*b - 4*b - 1) as y*b + r*b**2 + g and give r.\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 49663 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1772526*h + 869122 wrt h.\nAnswer: -1772526","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the second derivative of 22*m + 0*m**3 + 0*m**2 + 2 - 1\/2*m**4. Let c(o) = -5*o. Determine y(c(z)).\nAnswer: -150*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -2*p + 4. Let i(r) = -2*r + r + 83 - 81. Determine -5*i(u) + 3*k(u).\nAnswer: -u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:47 AM and 3:58 PM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 211 + -33?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1445 and 85?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 58, 117, 176, 235, 294?\nAnswer: 353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 4*b + 5*h + 6 = 0, -2*h = -5*b - 10. Let c = b + 5. Differentiate 2 - g**4 + c*g**4 + 0*g**4 with respect to g.\nAnswer: 8*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, l: 2, f: 1, v: 1}. Give prob of picking 3 g.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 19304023 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the third derivative of x**7\/1050 + x**6\/600 - x**5\/100 - x**4\/120 + x**3\/15 - x**2. What is l in y(l) = 0?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1.1 from 28.01.\nAnswer: 29.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n + 2*n + 0*n)*(6 + 0 - 5 - 2 + 0 + 0 + (1 + 3 - 2)*(-2 + 1 + 3) - 3 + 5 + 0 - 2 + 0 + 4 + 0 + 1 - 3)*(2 + 5*n - 7*n + n).\nAnswer: -5*n**2 + 10*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p and 1 v when four letters picked without replacement from {e: 1, t: 2, p: 3, f: 8, v: 2, c: 1}?\nAnswer: 1\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 105\/(-2)*(-432)\/7. Suppose -16*k + g = -2280. Is k a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -301914 + -2?\nAnswer: -301916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3*(-1)\/(-3)*-1. Let z be (-272)\/(-72)*-6 - 2\/6. Let j = z - -27. Solve j*x = w - 5 - 0, -3*w + n = -5*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-126)\/24)\/(15\/20).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 6534 = h - 6544, 6 = -h - 4*o for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7863 - 7863 - 16*i**3.\nAnswer: -16*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, 11075, 2\/45?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 4*k**5\/17 + 6*k**4\/17 - 80*k**3\/17 + 150*k**2\/17 - 104*k\/17 + 24\/17 = 0?\nAnswer: -6, 1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-2 + 1)\/((-8748)\/(-648))\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + (-5 + sqrt(19)*-2)**2 - (-3*sqrt(76))**2) + -1.\nAnswer: -584 + 21*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 436839 divided by 10.\nAnswer: 436839\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 309848931?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((sqrt(272)*5 + -5)*2*1 + 1 + -4))**2.\nAnswer: -1040*sqrt(17) + 27369","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -18, -1, 4, 1\/819, 6\/7?\nAnswer: 1\/819","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the second derivative of o**5\/20 - o**4 - 13*o**3\/6 + 8*o**2 - 21*o. Let x = 72 - 42. What is the lowest common multiple of z(13) and x?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*t**4 + 30*t**2 + 4*t**4 - 13*t**2 wrt t.\nAnswer: -96*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(1\/6))**(-24)*(j**4*j)\/(((j\/(j\/(j*j*j*j\/(j**(2\/11)\/j*j)*j)))\/j)\/j) assuming j is positive.\nAnswer: j**(-284\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 297\nAnswer: -4\/297","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/8, 3, -2, 5 in increasing order.\nAnswer: -2, 3\/8, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000119382 rounded to five dps?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -117*d. Let v(t) = 7*t. Let i = 80 - 77. Let h(w) = i*a(w) + 52*v(w). Let x(f) = -3*f**2. Give x(h(b)).\nAnswer: -507*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*q - 265*q - 331*q + 199*q - 264*q in the form p + k*q and give k.\nAnswer: -675","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the third derivative of -d**5\/20 + d**4\/6 - 10*d**2. What is the second derivative of h(y) wrt y?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 631 - 435 = 4*w. Calculate the greatest common divisor of w and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(-3 + (-38)\/(-13)). Suppose -b = -3*r + 5. Let f(p) = 349*p + 6. Let i be f(r). Round i to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -d + 2*d + d + (-20*d + 18*d + 51*d)*(4 - 5 - 1) + 2 - 4*d + 6*d - 1 to x + i*d and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**3 - 254*r**2 + 207*r + 11641. What is h(253)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4725014?\nAnswer: 2, 7, 17, 19853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 2*c**3 + 2*c**2 - c - 6. Does 21 divide q(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20 and 64.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z + 1. Let x be t(-2). Let v be (x*-1)\/(9\/(-12)). Let l(k) = k**2 - 4*k + 6. Let h be l(v). What is the highest common divisor of h and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 21 - 13. Let h = 11.1 - k. Let o = 3 - h. Which is the third biggest value? (a) 4 (b) -0.5 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11285 - 11285 - 6*l.\nAnswer: -6*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/(-7) + 5049\/77. What is the highest common divisor of i and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*d**4 + 94*d**3 + 20*d**2 + 115*d wrt d?\nAnswer: -72*d + 564","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.404 + -7.52. Let k = n - -8.3. Let o = k + -0.24. Round o to 2 dps.\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -9\/4*z**5 - 39\/2*z**4 - 225\/4*z - 87*z**2 - 123\/2*z**3 - 27\/2 = 0. Calculate z.\nAnswer: -3, -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -4*l**4\/7 + 992*l**3\/7 - 104*l**2 - 63968*l\/7 - 8892 = 0.\nAnswer: -7, -1, 9, 247","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 151, 143, 145, 163, 203, 271?\nAnswer: 373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(3*(sqrt(112)*-6 - (sqrt(7) - (sqrt(112)\/sqrt(4) + sqrt(7)))) + -2*2*sqrt(112) + ((0 + sqrt(112) - sqrt(112)) + sqrt(112) + sqrt(112))*5))**2.\nAnswer: 197568","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 653 a factor of 3711060?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 714347 to the nearest integer?\nAnswer: 845","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:30 PM and 5:30 PM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 252, 525, 798, 1071, 1344?\nAnswer: 1617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 44 and 102921269?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the first derivative of 2*z**7\/735 - z**6\/210 - 3*z**2\/2 - 4. Let o(d) be the second derivative of x(d). Factor o(y).\nAnswer: 4*y**3*(y - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 92, -961, -11, 0, 2 in decreasing order.\nAnswer: 92, 2, 0, -3, -11, -961","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2002431 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -20968 divided by 4?\nAnswer: -5242","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -495, -559, -619, -675, -727, -775?\nAnswer: -819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 174 - 25. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 957 and 2904?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 77 + -67. What is the greatest common factor of s and 90?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1370 or 1807?\nAnswer: 1370","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/8, 1, 2\/19, -1\/174884.\nAnswer: -1\/8, -1\/174884, 2\/19, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 83551168 divided by 17392?\nAnswer: 4804","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 114*m**2 + 21*m**2 + 13*m**2 - 140*m**2.\nAnswer: 8*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2218419 a multiple of 1531?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 528929.1 millennia to decades.\nAnswer: 52892910","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 81 - 95. Calculate the remainder when 22 is divided by (-8 - g)\/((-3)\/(-4)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -2, 0.5, 22, -3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c. Let i(h) = -5*h + 3. Let t(j) = -65*j - 5 + 49*j + 13 + 2. Let v(o) = 3*o - 5. Let q be v(5). Let x(b) = q*i(b) - 3*t(b). Give n(x(f)).\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.1 (b) 4 (c) -22 (d) 0.3 (e) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**3 - o**2 + 76. What is the units digit of j(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the first derivative of -s**4\/4 + s**3\/3 + 2*s - 1. Let h be v(0). Factor 1\/2*o**4 - 1\/2*o**5 + 0*o - 1\/2*o**h + 0 + 1\/2*o**3.\nAnswer: -o**2*(o - 1)**2*(o + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 26\/6 + 4\/(-12). Let m be d\/(-2) + (2 - -16). What is the highest common divisor of m and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2563281349 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 54294 divided by 3?\nAnswer: 18098","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 3 = 5*b - 3, -b - 3 = 2*u. Solve -j = -2*g + b*g - 6, 0 = 5*g - 4*j - 12 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2152859 - -3966552. Let y be 10 - k\/70 - (-1)\/(-10). What is y rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 804405215 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77 is divided by 40.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-450)\/6)\/(-15))\/(5*(-3)\/(-186)).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -34 + 69 + 2009*a**2 - 749*a**2 - 33 in the form r + l*a**2 + j*a and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8856253.\nAnswer: 7, 1265179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = -34075*a + 34070*a + 2*i, 0 = 3*a + 5*i - 17 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 22 - 16. Suppose -2*a + 13*a**2 - 16*a**2 - a - 18 + h*a**2 = 0. What is a?\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g - g + 7*g. Let l(s) be the second derivative of s**3\/3 - s + 281. Give x(l(n)).\nAnswer: 14*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 144 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = 9*k - 3. Suppose 4*d - 42 = -0*d + 2*p, 4*p = k*d - 52. Solve d*a - 5*a = -5*r + 12, -3*r = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 7765, 7788, 7777, 7714, 7581, 7360, 7033, 6582?\n\"Answer: -3*p**3 + p**2 + 41*p + 7726","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 a when two letters picked without replacement from ahaffhhqaqfhaahhh.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -20, -35, -64, -113, -188, -295, -440?\n\"Answer: -c**3 - c**2 - 5*c - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -2*n**3 - 8*n**2 - 28*n + 20. List the prime factors of x(-10).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1.87, 4.5, -4, 4778?\nAnswer: 4.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 275 a factor of 792079734?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/150216 and 1\/1126620.\nAnswer: 2253240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 10989004?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*q + 29*q - 111240. Is q a multiple of 103?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 22*r**2 + 4*r + 16. Let o be m(-5). Let b = o - 341. List the prime factors of b.\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15 + 1 + 15 + (-33 - -3 - -11)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -85*t + 6*t - 26*t + 15*t + 45*t + 16*t - t**2 + 20*t.\nAnswer: -t**2 - 9*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8, -3, 10, 31, 60, 97, 142?\nAnswer: 195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/((-30)\/(-34)))\/(-1*(-3)\/(-9))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 168*s + 1056. Give b(-8).\nAnswer: -288","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2714 or -35300\/13?\nAnswer: -2714","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/15 + -141*17\/765. Let v(x) = -11*x + 5. Let i(a) = -6*a + 2. Calculate j*v(c) + 7*i(c).\nAnswer: -9*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -638563.8586 to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4742 + -4734. What is the remainder when 445 is divided by a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 238 + -1669\/7. Suppose -2*h + 1905 = h + 5*x, -5*h = x - 3153. Let j be (-8)\/(-14) - 1 - (-186)\/h. What is the closest to 0 in j, r, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 621075?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**2 - 21*m - 22. Let x be i(-20). Let y(g) = 2*g - 1. Determine y(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 1 i when three letters picked without replacement from hihihhhhhhih?\nAnswer: 27\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 26, 51, 72, 77, 54, -9, -124?\n\"Answer: -2*h**3 + 10*h**2 + 9*h + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2965\/9 + 329. Suppose -5*p + 10 = 0, 6*p = 5*y + 2*p + 28. Let v be y\/22 - (-13)\/11. Which is smaller: v or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22527, 46324, 72603, 102606, 137575, 178752?\nAnswer: 227379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -19 + 46. Let d = b - 31. What is the fourth smallest value in -0.1, d, 0.6, 0.5?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m + 4. Let l be w(-2). Suppose -4*t = -l*t + 8, 5*i - 3*t - 37 = 0. Suppose 0 = s - 7 - i. What is the highest common divisor of 18 and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 3*a - 5*k + 29, 385*a + 6 = 381*a + 10*k for a.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -669080, -669089, -669112, -669155, -669224, -669325, -669464, -669647?\n\"Answer: -o**3 - o**2 + o - 669079","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -308 + 5989. Let q = -3532 + w. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 879611 a multiple of 224?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wqq when three letters picked without replacement from qsqsqsqswqsqqswww.\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 2212 (base 6) to base 7\nAnswer: 1331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1*((-18)\/8 + -12 + 14). Let a = -917.9 - -872. Let v = 8.9 + a. Are f and v nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, 9, 6 in descending order.\nAnswer: 9, 6, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1218, -1228, -1244, -1266, -1294, -1328, -1368?\nAnswer: -1414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in one quarter of a minute?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 930520 and 88537.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-6)\/270*-5)\/((-2)\/12). What is the closest to 7 in g, -3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 18*a**5 + 56*a**4 + 40*a**3 - 36*a**2 - 58*a - 20 = 0.\nAnswer: -10\/9, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 334579 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 - 53 = 25*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 42310?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 15\/(10\/(-40)*(-1 + -3)). Suppose y*c - 5465 = 10*c. Suppose 10*o - c = -123. Is o a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -107*m**2 + 24*m**3 + 1364*m**4 - 1366*m**4 - 44*m + 89*m**2.\nAnswer: -2*m*(m - 11)*(m - 2)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 441087789 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 100854544.\nAnswer: 2, 7, 197, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -126777 - 606.\nAnswer: -127383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -0*y + y. Let f = y - -2. What is the lowest common multiple of (2 + f)*-5 - 3 and 54?\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -67, -74, -83, -94, -107, -122, -139?\nAnswer: -158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 2486?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 400334, 400187, 399762, 398921, 397526, 395439, 392522?\nAnswer: 388637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -141168 divided by 1?\nAnswer: -141168","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 5 * 11.3\nAnswer: 56.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 12669*h + 6652. Let s be q(92). Round s to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 109126?\nAnswer: 2, 54563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 213*j - 215*j = -5*c + 17, -j = -3*c + 10. Solve 0*b = -c*b + 3 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k*k*k**(2\/3))\/k*k)\/k)\/k*k*(k**(-2\/15)\/k)\/k)\/((k**(-1\/9)\/k)\/k*k)**(-3\/4) assuming k is positive.\nAnswer: k**(-13\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -168*-0.2.\nAnswer: 33.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 44*j**2. Let o(k) = -92*k**2 - 11725*k. Calculate o(a(l)).\nAnswer: -178112*l**4 - 515900*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (175\/(-420))\/(-1 + 76\/80)?\nAnswer: 25\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m + 227 + 199 = 0. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes before 4:52 PM?\nAnswer: 6:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1 and 85346.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2526, -2554, -2602, -2670?\n\"Answer: -10*s**2 + 2*s - 2518","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5861*x + 5873*x - 29*x**3 - 12*x.\nAnswer: -29*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u - 13. Give c(8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*m**2 - 5*m**2 + 4*m**2 - 2*m**2.\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*j**4 - j + j + (20*j**3 + 19*j**3 - 97*j**3)*(j - j - j) + (-j - 2*j + 5*j)*(0 + j**3 + 0).\nAnswer: 63*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r + 0 + 0)*(71 - 163 + 92 + 3766*r + 10048*r).\nAnswer: 41442*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2013018 to the nearest integer?\nAnswer: 1419","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9 - 6. Suppose 6*k = 2*k + 24. Suppose -9 = -4*w + a*o - 2*o, 0 = w - o - k. Solve 2*s = -w + 9 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6280\/3 + 2094. Factor -4\/3*p**2 - k*p**3 + 1 + 1\/3*p**4 + 2\/3*p.\nAnswer: (p - 3)*(p - 1)*(p + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 271285.247 to the nearest 10.\nAnswer: 271290","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b**5\/7 - 1503500*b**4\/7 - 376745025072*b**3\/7 - 31465744297552448*b**2\/7 + 62942038045189888*b = 0.\nAnswer: -250588, 0, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n - 2. Let y be h(2). Suppose 4*q = -y*q + 12. What are the prime factors of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/6)\/(-1 + (-50)\/(-48)). Solve -w*r = -3*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the first derivative of 1\/3*h**4 + 3 + 2\/9*h**3 + 0*h**2 + 0*h + 2\/15*h**5. Find s, given that n(s) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 841*d - 790. Determine f(1).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 divided by 6232897.\nAnswer: 8\/6232897","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**2 - 9*r - 2. Let x be q(-8). Let y = -5 + 10. Suppose -3 = 4*j - 3*j + p, y = 5*j + p. Solve -x = -b + 4*u + 2, -j*b + 2*u + 10 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -161*i + 160*i + 11, -5*i + l = -167. Solve -3*r = -5*a - 16 + 24, -3*r = 5*a - i for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 54\/13, -3, 0, 38, -1646?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1697b (base 12) to base 7.\nAnswer: -163511","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19*l + 47*l - 49*l)*(-5 + 3 - 2*l + 9).\nAnswer: 42*l**2 - 147*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + 1 + (1 - -1) - (-876 - -896)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1002*r + 10312 - 10312 + 6161*r)*(0 + r + 0) to x + q*r + a*r**2 and give a.\nAnswer: 5159","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*o**3 - 3*o**3 + 11*o**3 + 11*o + 45*o + 2 to l*o**2 + w + m*o + y*o**3 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 2949 = -w, -3*l = 5*w - 5*l - 14742. Is w - 11 - (-2 - 0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/4768 and 95\/18?\nAnswer: 42912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4472 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: Suppose o + 3*b = -2*o + 585, 0 = 3*o + 2*b - 583. Does 14 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51459*-328.\nAnswer: -16878552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10018636?\nAnswer: 2, 269, 9311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 45\/8 of a tonne?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 + 3 + 8 = -11*b. Sort 1, -2, b, 57, 5 in descending order.\nAnswer: 57, 5, b, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.681*-0.71.\nAnswer: 1.90351","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -108082 + 108093.1482. What is z rounded to two dps?\nAnswer: 11.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/9 - 464\/(-435)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10208113.\nAnswer: 23, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 35515 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 137*q*r**3 - 29*q*r**2 - q*r - 2*q + 2*r**2 + 2*r - 399 wrt r.\nAnswer: 822*q*r - 58*q + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 15822864 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**2 - 21. Suppose -4*y + 32*s = 29*s - 10, 2*y - 3*s - 2 = 0. Suppose 15 = 4*l - p, p = -1 - 2. Let j(g) = -y*g + l*g + 5*g - 5*g. Give j(u(n)).\nAnswer: -n**2 + 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 497366 and 3568?\nAnswer: 493798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 25*p**4 - p**2 + 2*p + 233 wrt p.\nAnswer: 300*p**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 3 = 3*u. Solve -l - 6 = 4*g, -l - u = 2*g - 1 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.3 + 41125293?\nAnswer: 41125280.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 4*d**2 + 28*d - 797. Let q be w(11). Let f(v) = -3*v**2. What is f(q)?\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 5*w - 55, -2 = -w + 3*o - 5. What are the prime factors of w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-180)\/42*476\/(-51) - -3. Which is smaller: -11 or a?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1647494*u - 2787924 wrt u?\nAnswer: 1647494","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 6*n. Let z be -1 - (-42)\/(-276)*-6. Which is greater: n or z?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {c: 2, q: 8, v: 4, e: 4, r: 1}?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 50589919 to the power of 1\/3, to the nearest integer?\nAnswer: 370","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 32 and 803782.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5840 - -5720. Let k = 95 + 24. Let o = k + h. What is the second smallest value in o, -1\/5, 4, 1\/2?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(13) + -4*sqrt(52) + sqrt(13))**2 + sqrt(13) + (sqrt(13) + sqrt(52)\/sqrt(4))*3) - (-2*(sqrt(117) + (sqrt(117) + -2 - sqrt(117))*3))**2.\nAnswer: 324 + 158*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 43 + -18. Let x = -229 - -235. Let u be (117 - -30)*2\/x + 1. What is the greatest common divisor of m and u?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(((sqrt(117) - (0 + sqrt(117))*-4)**2 - sqrt(117) - (-2 + sqrt(1872) + -1)**2) + -1)*5.\nAnswer: 690*sqrt(13) + 10430","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -118, -225, -330, -433, -534?\nAnswer: -633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n + 5, -5 = p - 0*p + 2*n. Suppose 0 = s - p*s + 268. What is the tens digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1173449 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 4 (b) -2\/51 (c) 1 (d) -0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -167 - 61 = -3*i. Let n be (-18)\/81 - i\/(-18). Suppose 0 = -3*v + 5*v + 6, -n*y + v - 13 = 0. What is the third smallest value in -3\/7, 4, y?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 27113134?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 + 1)\/((-33)\/(-88)). Let r = 0 - 0. Suppose 4*k + r + j = 0. Which is the third biggest value? (a) -4 (b) 5 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oojwongwowoommogwwom. Give prob of picking 1 n and 2 w.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, -4.1, 3?\nAnswer: -4.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + 5*t - 11 = 9, -4*d - 4*t + 24 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2588\/18 - 8\/(-36). Suppose -8 = -3*u + 2*u. Suppose 4*q - u*q = -f. What is the remainder when 106 is divided by q?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.07 - 0.1. Let o = -3.4296 + 3.4. Let s = x - o. Round s to 4 decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:07 AM and 11:07 AM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 2*s**3 + 2*s**2 - 1. Let y(n) = -6*n - 5*n + n**2 + 1 + 5*n. Suppose 5*x + 0*x = 30. Let a be y(x). What is r(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -33 + 33. Let o(k) be the second derivative of -2*k + 1\/9*k**6 + 1\/3*k**5 + 1\/63*k**7 + 1\/3*k**2 + 5\/9*k**3 + 5\/9*k**4 + u. Solve o(m) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 9 + 3 = 0. Suppose -3*p + 18 = m. Suppose -p = -2*n - 0, n = u - 75. List the prime factors of u.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64341965 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 49867390 and 80.\nAnswer: 398939120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.13 (b) -82 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1629*q - 32109 = -2831*q + 1619*q for q.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 5*k + 1 = 0, -k + 76 = t + 73 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -906203174, -906203175, -906203176?\n\"Answer: -m - 906203173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 10*s - 2. Let p be k(3). Let h(g) = 7*g + 0*g - p - g + 7. Let d(i) = i - 10. Let w(r) = r - 9. Let b(v) = -5*d(v) + 6*w(v). Give -11*b(j) + 2*h(j).\nAnswer: j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**2\/u)**(-23\/2)*(u\/(u**(3\/7)*u*u))\/((((u\/u**3)\/u)\/u)\/u*u*u))\/((u*u*u**2\/u*u)\/(u*u*u\/u**(2\/11)*u*u*u))**(-29) assuming u is positive.\nAnswer: u**(-5710\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 645912.5 decades?\nAnswer: 6459125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 228, 229, 228, 225?\n\"Answer: -d**2 + 4*d + 225","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the second derivative of 0 - 2\/3*s**4 - 26*s - 2\/3*s**3 + 0*s**2. What is the second derivative of l(t) wrt t?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 52 = -64. Let m be (i\/14)\/((-18)\/(-420)*5). Calculate the highest common divisor of 16 and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 133\/21780 and -163\/10890.\nAnswer: 21780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 879 (base 11) to base 16\nAnswer: 41e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 946 + -366. Is r a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 4854?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:02 AM and 7:01 AM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -9005 or -9003?\nAnswer: -9003","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (9\/12)\/((-2)\/(-16)). Suppose -o = -2*f - 0*f. Suppose 0 = -f*k + 1 - 13. Put 2, k, -2 in increasing order.\nAnswer: k, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22 (base 4) to base 12.\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 3*u**2. Let o(t) = 10*t + 4. Let c(x) = -73*x + 66. Let s(n) = -c(n) - 5*o(n). What is b(s(p))?\nAnswer: 1587*p**2 - 11868*p + 22188","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 52*l + 1. Let j(c) = 421*c + 12. Let a(d) = j(d) - 8*r(d). What is a(-5)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (-10 - (-6 + -4 - 10)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2488*n - 255 = -2473*n for n.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 121*h**2*r**2 - 663*h*r**3 - r**3 - 1115*r + 49 with respect to h.\nAnswer: 242*h*r**2 - 663*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-80)\/(-138) - 4\/6. Let d = 16 + -11. Let l = 7 + -5. Which is the second biggest value? (a) l (b) m (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1+0.4529765\nAnswer: -0.5470235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11330658 and 59385.\nAnswer: 56653290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = 2*o - 2*y, -2*o + 4*y + 46 = 3*y. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 303\/3 + (-154)\/(-22)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000977367967 rounded to 6 decimal places?\nAnswer: -0.000098","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are 3 and 20\/11 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 828 and 266892?\nAnswer: 800676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*y + 1610 = -874. List the prime factors of y.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, -3, 2.\nAnswer: -5, -3, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the third derivative of -8\/7*h**4 - 31*h**2 - 2\/15*h**6 - 16\/21*h**3 + 0*h - 3\/245*h**7 - 4\/7*h**5 + 0. Factor n(a).\nAnswer: -2*(a + 2)**3*(9*a + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 113003003133 + -3?\nAnswer: 113003003130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56243*s**3 - 14 + 14 - s.\nAnswer: 56243*s**3 - s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*m + 686871483 = -1501378517. What is m rounded to the nearest 1000000?\nAnswer: 88000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 3, -2.7, -4, -15?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 96 + -91. Suppose -10*t + 11*t - 2*c = 16, c = -n. Sort t, -8, -5 in increasing order.\nAnswer: -8, -5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1788691, -1788715, -1788741, -1788769?\n\"Answer: -l**2 - 21*l - 1788669","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**3 + 6*t**2 - 8*t - 3. Give j(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j - 96 = 44. Let b be 1550\/j - 2\/(-4). Is -75 equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1652495, -3304994, -4957507, -6610040, -8262599?\nAnswer: -9915190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -57*q - 41 + 5 + 65*q. Does 13 divide x(11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 11*q**2 - q. Let c be r(-1). Suppose -3*f = -0*f - c. Solve -f*t + 17 = 2*y - 3, 2*y = -t + 5 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(132)\/(sqrt(108)*6))**2*3 - ((-1 + sqrt(1584) + sqrt(1584) - sqrt(11) - (sqrt(539) + -2*sqrt(539))) + sqrt(110)\/((sqrt(10) - sqrt(160))*5)).\nAnswer: -449*sqrt(11)\/15 + 43\/54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02483 to 1 dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 16, w: 2}. Give prob of picking 3 f.\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 11864 = 4*l, -82*i = -86*i + 4*l + 15816. Is i a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + -1. Let t(z) = -9*z + 61. Let k be t(7). What is the nearest to s in -5, 0.2, k?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - 5. Let s be (-15 - f)\/((-3)\/16). Let j(y) = 4*y. Let d be j(2). Calculate the highest common factor of s and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -45*j + 7*j - 24*j + 12636034. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the first derivative of 5*b**6\/12 + 5*b**3 - 93*b**2\/2 - 87. Let p(t) be the second derivative of l(t). What is the derivative of p(w) wrt w?\nAnswer: 150*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.75 - 0.5. Let o = 0.45 - i. Which is the biggest value? (a) o (b) -2\/3 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -233, -466, -703, -944, -1189?\nAnswer: -1438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 i when two letters picked without replacement from {x: 1, v: 1, k: 1, m: 2, i: 1, r: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pgvhu. What is prob of sequence ph?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is (12 - (11 + -2)) + 304\/2 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.8 + 0.2. Let r = 217 - 221. Let o = 0.2 - 0. Sort v, o, r in descending order.\nAnswer: v, o, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1926*b**4 - 4879527*b**3 + 3094238205*b**2 - 4640001408*b + 14424804 = 0. Calculate b.\nAnswer: 1\/321, 3\/2, 1266","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 22 - -12. Suppose 3*x + 3*u - 87 = 0, -3*x + a + 28 = -2*u. List the prime factors of 3 + -1 + (x - -4).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7501, 30, -31 in descending order.\nAnswer: 7501, 30, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27310, 27345, 27380, 27415, 27450?\nAnswer: 27485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i**3 + 0*i**3 + 11*i**3)*(12 - 6 - 5 - 3*i).\nAnswer: -33*i**4 + 11*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -38 - -46. Solve 14 = -5*w - o, r + 6 = -4*w + 2*o for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5010 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 278699?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -24 - -21. Let x be -1*11\/3*s. Let a(c) = -c**3 + 13*c**2 - 16*c + 13. Is a(x) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7.4 - 3. Let p = f + -4.4. What is the nearest to 0 in p, -1\/9, -1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - h + 9 = 22, -3*s - 3*h = -9 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) -0.9 (c) 0.2 (d) 25\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in b - 554 + 6*b - 643.\nAnswer: 7*b - 1197","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**2 - 3*z. Let k be f(-4). What is the units digit of k\/18 + 12186\/162?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (156\/(-65))\/((-2)\/(-45)). Let m = f + 59. Factor 0*c - 1\/5*c**4 + 0 - 1\/5*c**3 + 1\/5*c**m + 1\/5*c**2.\nAnswer: c**2*(c - 1)**2*(c + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5153 divided by -2\nAnswer: 5153\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i**3 + i**3 + 3*i**3)*(2 + i - 2) + (15*i**4 - 38*i + 38*i)*(6 + 1 - 8).\nAnswer: -13*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -104*r. Let a(j) = -113*j. Give a(z(o)).\nAnswer: 11752*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 88 + -38. Let m = 53 - x. Which is the nearest to 0? (a) m (b) 2 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -104115078 divided by -37438\nAnswer: 2781","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -49ba16a + 3?\nAnswer: -49ba167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 4*m - 710, -3*w + w - 5*m = -284. What are the prime factors of w?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 4 = 5*b - 13, 2*n = -2*b + 10 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -196 + 400. Let f(y) = y**3 - 10*y**2 + 9*y + 23. Let b be f(10). Let z = j - b. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**3 + 7*t**2 - 7*t + 8. Let j be d(-8). Let k = 19741 + -19740.6. Which is the closest to -4? (a) j (b) k (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 2*g**3 - 12*g**3 + 14 - 3*g - 10*g**2 + 9*g**3. Suppose -i = -4, 5*i - 6 = -r + i. List the prime factors of q(r).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2813 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j**3 + j**3 + 0*j**3)*(141*j**2 + 136*j**2 - 37*j**2).\nAnswer: 480*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 10*l**2 - 60*l + 18. Is h(9) a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8\/6931 - 517586\/460433261. Which is greater: 1 or b?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 376*a**2 - a + 1. Let s = -120 + 121. Is 16 a factor of t(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 172 - 123. What is the greatest common factor of 7 and k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 2, 0.1, 2\/27, -899, -1, -5?\nAnswer: -899","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**2 - 4953*j + 134486. Suppose -3*m = -6*m + 738. What is the remainder when m is divided by s(27)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 6 = 3*o, -5*f = -3*o + 3 - 27. Suppose w = -f*w + 4. Let m(b) = 255*b**3 - 1 - 773*b**3 + 2*b**2 + 260*b**3 + 253*b**3. Calculate m(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3240315 litres in millilitres?\nAnswer: 324.0315","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 127740?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*l - 3*l - 18. Suppose 2*r + 3*g = -0*r + 19, -3*r + 11 = g. Calculate the remainder when l is divided by r.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/75852*4190 - (-3)\/18. Is -1\/7 > v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 169 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: Rearrange -82 + 11 - 124*w**2 + 34*w**2 - 15 to the form l*w + k + d*w**2 and give d.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 80 divided by 2\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 6*l + 6. Let z be p(4). Calculate the greatest common divisor of z and 60.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -269 + 269.000009483. Round o to 6 dps.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 9) to base 4\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-39 - -38) + (-3 - -2 - -4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t**3 + 2*t**3 + 0*t**3 + (t + t - 5*t)*(t**2 + 3*t - 3*t).\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 23403380 divided by 77\nAnswer: 303940","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*w**2 + 2 + 12*w**2 + 12*w**2 - w**3 - 47*w**2 + 381*w**4 + 11*w**2 as b + t*w**3 + l*w**2 + y*w + n*w**4 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 352 = 2*s - 0*s - t, t = -3*s + 523. What are the prime factors of s?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**3 - 31*i**2 - 5*i + 45. Let a be u(0). Do 160 and a have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, q: 3, d: 3, p: 5, c: 7}. What is prob of picking 3 q?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -j**5*u + 15*j**5 + j**4*u - 1179*j**2 - j*u wrt j.\nAnswer: -60*j**2*u + 900*j**2 + 24*j*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 443260639?\nAnswer: 131, 3383669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1997752652?\nAnswer: 2, 7, 43, 1659263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -6*h**2 - 51*h - 93. Let r be g(-6). What is the nearest to -1 in 3\/5, 4, r?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 130952, 258087, 385222, 512357, 639492?\nAnswer: 766627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.1 (b) 3 (c) 78\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1\/3))**(-5\/3)\/(r\/(r*r**(-1)))**(-32) assuming r is positive.\nAnswer: r**(293\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 181*n. Let l(w) = -12*w. Determine l(x(o)).\nAnswer: -2172*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13332 and 155633324?\nAnswer: 4444","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 45 + 25 = 0. Suppose 2 = -b + l - 0, -4*l + z = 0. Put -2, b, -5, -3 in increasing order.\nAnswer: -5, -3, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4653936 and 57.\nAnswer: 4653936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, 0.047, -255, 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 608340 and 780.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (84\/49)\/(1\/7) + 1. Let d(r) = 15*r**2 + 13*r - 13. Let h(k) = -7*k**2 - 6*k + 6. Determine a*h(l) + 6*d(l).\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1675 is divided by (-11)\/((-1)\/((2\/12)\/(13\/858)))?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -332379819, -332379822, -332379825?\n\"Answer: -3*w - 332379816","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.03 (b) -0.1 (c) 0.2 (d) -21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zjzjjz. What is prob of picking 1 z and 1 j?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59066 is divided by 265.\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q + 3*q = -150. Let p be q + (0\/3 - 1). Let s = p - 15. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54252 is divided by 32.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -24 - -31. What is the second derivative of -41*p**4 + b*p + 41*p**4 - 7*p**5 wrt p?\nAnswer: -140*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**3 + 3*k**2 + 27*k + 45. Let y(o) = 2*o**3 + 5*o**2 + 54*o + 91. Let b(w) = -5*i(w) + 3*y(w). Differentiate b(f) with respect to f.\nAnswer: 3*f**2 + 27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1575 is divided by 228?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 207107, 414120, 621133?\nAnswer: 828146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 454 = 15*u + 1444. Let r be (-12)\/u - 4\/22. Let k(i) = i**2 + 11*i + 5. Let b be k(-11). Solve 2*n - 5 = -b*t, 3*n + r*n + 9 = -2*t for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -1524, 5, 9 in decreasing order.\nAnswer: 9, 5, -6, -1524","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -13 (b) 0.5 (c) -1\/7 (d) 0.038 (e) -4 (f) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 1 = -z, 5*g - 33 = -0*g - 2*z for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11*x**4 - 7*x**3 - 214*x**2 wrt x?\nAnswer: -264*x - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*i = -153 - 597. Solve -i = -2*z - 44 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the first derivative of y**4\/4 - 4*y**3\/3 + 5*y + 2. Let n be d(4). Suppose z + n = 14. What are the prime factors of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 2*q**2 - 8*q - 6. Let j(n) = n**2 - 5*n - 8. Let v be j(7). Is y(v) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-17649)\/(-1404) - (-4)\/(-26) and 27\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the first derivative of -s**3\/3 + 9*s**2\/2 - 17*s + 64. Let o be d(5). Solve o*b + 0 + 12 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the second derivative of 0*f**3 + 0*f**2 + 3\/28*f**8 + 0*f**6 + 0*f**5 + 0*f**7 - f - 7\/12*f**4 + 0. Find the third derivative of m(x) wrt x.\nAnswer: 720*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -36560, -73085, -109606, -146123, -182636?\n\"Answer: 2*o**2 - 36531*o - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 + 0 - (-33 + -2780) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y\/y**(-2)))**50)**(-25)\/((y\/(y\/(y**5*y))*y*y\/y**(-4\/7))\/(y**1*y*y\/y**5)) assuming y is positive.\nAnswer: y**(17426\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.04606 in -47\/2, -0.1, -5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1138 - 82 = 26*b + 22*b for b.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/92)\/(3\/(-21)*(-203)\/(-58))?\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2*9\/(-15)*(-31 + 1). Suppose 0 = -c*x + 33*x + 18. Calculate the common denominator of x and (-8)\/(-2) + (-60)\/8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in twenty-one quarters of a millimeter?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2, 48\/7, -1\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 16*m - 3268. Suppose t + t - a - 85 = 0, -5*a = -5*t + m. What is the lowest common multiple of t and 52?\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a day in seconds?\nAnswer: 51840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 6*c**2)*(2 - 2 + 2*c**3) - 3*c + 4*c + c + 3*c**5.\nAnswer: -9*c**5 + 2*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 563 is divided by 139?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.09 - -1.09094. What is g rounded to four dps?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-8))\/((-1)\/4)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.05789+-0.2\nAnswer: -0.25789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*m - 1580 = -93*m - 153*m. Solve -1714 = m*r - 1724 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 30, 740, 2690, 6504, 12806, 22220?\n\"Answer: 104*n**3 - 4*n**2 - 6*n - 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 + 13. Is ((o - 1) + -19)\/(-1) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2093 - -2952?\nAnswer: 8ae","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 819009330?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1668*d + 1667*d + 24 = b, 2*d + 67 = 3*b for b.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 46049 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 - 117 = -4*f. Find the common denominator of 91\/22 and 212\/f + -3 + 2.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-2 + -4)*(6 + 1)\/(-14) - -1061 and 30?\nAnswer: 15960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -39460850*d*w**2 + 215*d*w + 2*d - 182763*w wrt w?\nAnswer: -78921700*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 + 2 - (-28 - -29)) + 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the second derivative of i**5\/20 - i**4\/12 + i**3\/6 + 46*i**2 - 86*i + 1. Let f be c(0). Which is smaller: f or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-32 - 32 + 3*f + 69)*(2*f + 2 - 2).\nAnswer: 6*f**2 + 10*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3938 + 27564\/7. What is the nearest to a in 3, -5, -80, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1586.1 - 1674. Let g = 92 + n. Let t = 0.1 - g. Which is the second smallest value? (a) -0.5 (b) 5 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0023 and 0.069.\nAnswer: 0.0001587","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 - 8. Let a = c + 1. What are the prime factors of ((-9)\/(a + 1))\/1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96*m + 99*m - 297 = 0. Suppose -297 = -3*t + 5*h, -11*t + 12*t = 4*h + m. Calculate the smallest common multiple of t and 81.\nAnswer: 891","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84389 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 355345366?\nAnswer: 2, 177672683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -25143 + 109490. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-one fifths of a decade?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n, j + 12203 = -n + 99748. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19030423 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.10285 rounded to 2 decimal places?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 60\/37 - 231\/74. Let q(d) = d**3 + 28*d**2 - 28*d + 14. Let z be q(-29). What is the nearest to 2\/5 in z, 0.4, j?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5\/3 (b) 0.8 (c) -0.5 (d) 2.7 (e) 3 (f) 2 (g) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*h = -51*h - 603 for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:17 AM and 12:49 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 479 + -241. What are the prime factors of y?\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (70\/(-8)*72\/(-45))\/((-10)\/2).\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 95989056?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = 5*k - 191. Suppose -k = -4*r - 0. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/15 and 5\/2322.\nAnswer: 11610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 7*k - 17*k**2 - 3*k**3 + 9*k**2 - k + 5 + 9*k to the form h*k**2 + t*k + o*k**3 + r and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*x**4 - 50*x**3 - 185*x**2 - 300*x - 180.\nAnswer: -5*(x + 2)**2*(x + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14 and 182.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 - 3. Let r = n + 11.5. Let w = 215 + -219. Which is the third biggest value? (a) r (b) w (c) -0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a + 1. Let t = 30 - 35. Let g(w) = w + 1. Calculate t*g(r) + 7*k(r).\nAnswer: 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9535, -9534, -9533, -9532, -9531?\nAnswer: -9530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzzzzizzzzzzzziiizi. Give prob of picking 2 z.\nAnswer: 21\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 5, o: 5}. What is prob of picking 1 o and 3 u?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -68 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:10 AM and 10:01 AM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -80557.7 to the nearest one thousand.\nAnswer: -81000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*h = 3*r - 6826 + 6851, 4*h + 3*r = -41 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m - 2*m. Suppose -r = -3*r - 16. Let d be 6\/r*2\/6. Which is the closest to m? (a) 0 (b) d (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 158 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the first derivative of -7*d**2 - 21*d + 219. Calculate the remainder when 40 is divided by o(-3).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -5 + 6 + -2 + (-103)\/(-66). Let x = -8\/11 + s. Suppose -2*a + 4*a + 20 = 5*y, -12 = 3*a - 3*y. What is the closest to a in -1\/2, x, -6?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 100a + -49b?\nAnswer: 83c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5.1 + 0.1. Suppose 104 = 225*v - 346. What is the nearest to 0.3 in d, v, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 - -0.4. Let l = y - -1.4. Suppose -3*h = 2*d - 26, 0 = d - 5*h + 5 + 8. Sort 3\/4, d, l in decreasing order.\nAnswer: d, 3\/4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -17*h - 1042. Give b(-53).\nAnswer: -141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - f - 3 = 0, -59*n + 63*n = -f - 3 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-966)\/49 + 2\/(-7). Let c be 4\/10 + 8\/d. Let v(n) = -5*n + 21. Let w(o) = 3*o - 11. Let h(m) = -4*v(m) - 7*w(m). What is h(c)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -219*b - 45977. Calculate d(-210).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 57*p**3 - p**2 - p. Give d(-1).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-1 + (sqrt(605) - (sqrt(605) + -2)) + 0)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 - 2*z**2 + 5*z - 4. Suppose -5*y + 5 = 5*l, 0 = 2*l - 5*y - 36 + 20. What is o(l)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 30, 3, 4, -2\/3.\nAnswer: -14, -2\/3, 3, 4, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u - 1739 = -1703 for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 + -18. Calculate the smallest common multiple of (12\/7)\/((-2)\/d) and 3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**2\/9 - 261*j - 1149530\/9.\nAnswer: -(j + 695)*(j + 1654)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(1\/14)*i)\/i**(-21)*(i**(-2\/19))**(-1\/16) assuming i is positive.\nAnswer: i**(23491\/1064)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.1 - 1. Let h = -2265.73 + 2264.73. Let p = -3.7 - -4. Which is the closest to d? (a) h (b) p (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 30049?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 189*w**2 + w + 2. Let o be 3 + (-3)\/(1 + 2). Let m be l(o). Round m to the nearest 100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 5 and -2850337935949.\nAnswer: -2850337935944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the third derivative of 0 + 1\/3*c**3 + 0*c - 1\/120*c**6 - 5\/24*c**4 + 1\/15*c**5 + 5*c**2. Factor h(x).\nAnswer: -(x - 2)*(x - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -11*m + 177. Give o(24).\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.1 and 24083267215?\nAnswer: 24083267214.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:42 AM and 2:33 AM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 191 = 5*c, 2*t + 35 - 189 = -4*c. Let y be (30\/(-40))\/((-2)\/c). What is the greatest common divisor of 3 and y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -141 - -254. Let s = 118 - y. Solve 10*t - 4*z = 5*t - 19, 0 = s*t + 3*z + 12 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 224530491 is divided by 298.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the third derivative of n**4\/24 + n**3\/6 + 4*n**2. Suppose -5*r - 2 = -3*y, -r + y = -0*y. Let p(q) = q**3 + 3*q + 3. Determine r*p(d) + 3*o(d).\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in three tenths of a kilometer?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 4*g - 14. Suppose 0 = n + g*n + 21. Let q(h) = 4315 + 8*h**2 + 7*h - 13*h**3 + 14*h**3 - 4317. Determine q(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -0.4, -1\/9, -52 in decreasing order.\nAnswer: 4, -1\/9, -0.4, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > -73\/180308?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.6 + -0.4. Let s = p - -3.9. Let u(x) = -x**2 - 6*x - 3. Let k be u(-6). Which is the smallest value? (a) 5 (b) s (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26, -5, -3\/7 in decreasing order.\nAnswer: 26, -3\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vyjyyyyyyjvyy. What is prob of sequence vjjv?\nAnswer: 1\/4290","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 4*d - 43 + 17, -2*d + 2*g = -10. Let k = 11 - d. What is the remainder when 6 is divided by k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (135\/3)\/1*(-137)\/(-72610)*-371\nAnswer: -63\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -95 + 141. Let f = -272 - -318. Let a = z - f. Is a greater than or equal to -10\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -148, -147, -146, -145, -144?\n\"Answer: f - 149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 51401030 rounded to the nearest one million?\nAnswer: 51000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 8, -4, -1\/5, 5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 64744511 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 145 = -196*s + 201*s. Suppose r + 0*r - 4*n - 104 = 0, -3*r - 4*n = -344. Calculate the remainder when r is divided by s.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**21\/n*n**(2\/49) assuming n is positive.\nAnswer: n**(982\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 215 to the power of 1\/2, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d + 2*o + 71, 0 = -5*d + 3*o + 2*o + 340. Suppose -20 = -5*s, 5*z + d = 2*s + 167. What is the highest common divisor of z and 44?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -6*q - 9*q. Suppose -4*r + q*h + 13 - 2 = 0, 3*r - 4 = -2*h. Let m be 1*((-1 - -12) + (2 - r)). Is 12 less than or equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -494 divided by -2?\nAnswer: 247","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2 + 0*l**2 - 2*l**2. Let n(r) = -28*r**2 + 35*r - 35. Let q(x) = x**2 - x + 1. Let g(t) = -3*n(t) - 105*q(t). Determine d(g(i)).\nAnswer: -441*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-315025)\/(-90) - -5)*(-4)\/(-10). Let z = f + -1398. Calculate the common denominator of z and -93\/10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 7, h: 5, m: 1}. What is prob of picking 4 j?\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 75431.26g?\nAnswer: 75431260000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 72, 77, 82?\n\"Answer: 5*r + 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7817 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 53036627 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v*v\/(v**(-4)\/v)*v*v)\/v**(-1\/9))**(-5\/3)*v*v**(2\/15)*v\/(v*(v\/v**2)\/v)*v**3\/(v\/(v**(-2\/7)*v)) assuming v is positive.\nAnswer: v**(-10399\/945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 38836 and 979944?\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*h - 1)*(0*h**2 + 0*h**2 + 2*h**2).\nAnswer: 4*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) 39 (c) 5 (d) -41 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3563, -3537, -3513, -3491, -3471, -3453, -3437?\nAnswer: -3423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -108*g + 236*g - 110*g + 347*g + 138*g + 214*g.\nAnswer: 717*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -107\/2 - -55. Let a = -22181 - -243993\/11. What is the nearest to 0.3 in g, -0.5, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1918250 and 6250.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.5 + -2.5. Which is the biggest value? (a) 5 (b) q (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3762075.\nAnswer: 3, 5, 103, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 17374240 and 700.\nAnswer: 608098400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1086312 and 678945.\nAnswer: 5431560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -470822 = -47*i - 471339 for i.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*((d\/d**(-1))\/d)\/d)**(39\/7)\/(d**(29\/4)\/(d*d**(-20)\/d*d)) assuming d is positive.\nAnswer: d**(-579\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 88950214 is divided by 61.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1321880 divided by -82?\nAnswer: -660940\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence grkg when four letters picked without replacement from rkrggkkrkrgrkkkg?\nAnswer: 1\/104","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1848 = 4*q + 267*g - 2958, -54 = 2*q - 3*g for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 20219*t**3 + 24808 wrt t?\nAnswer: 60657*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 705*-0.3.\nAnswer: -211.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(612))**2 + sqrt(17) - -6*-1*sqrt(17).\nAnswer: -29*sqrt(17) + 616","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2089470?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**2 - 5*n**2 + 3*n**2. Let a(g) = -46*g + 25*g + 22*g. Determine l(a(d)).\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.5 - 1.3. Let r = 86.2 + -89. Which is the biggest value? (a) 3 (b) r (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -58343 by 1676.\nAnswer: -58343\/1676","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -34 + 32.1. Let z = 2.1 - x. Which is the second smallest value? (a) 2\/5 (b) z (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 700*q**2*v + 30*q*v - 3*q - 2*v wrt q.\nAnswer: 1400*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 127663*m - 63738*m - 63798*m.\nAnswer: 127*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/((-27)\/(-183))*3. Factor -r*q**2 + 58*q**2 - 6*q + 3 - 3.\nAnswer: -3*q*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12 - -17. Let z(p) = -2*p - 2. Let q(m) = -4*m - 4. Give v*z(o) - 2*q(o).\nAnswer: -2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*y - 23 = 19 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 450*v = -408*v + 778*v - 1920 for v.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 78756 - 13939924\/177. Let n = -2\/59 + w. Sort 15, 0.2, n in ascending order.\nAnswer: n, 0.2, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 164082 to the power of 1\/2, to the nearest integer?\nAnswer: 405","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 91 - 88. Let a = -3.1 + h. Do a and 5.6 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 3583 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + 10 + 0 + 2 + -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.92 (b) 0.07285 (c) 16.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15391?\nAnswer: 15391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3529*l**3*s**3*u**2 - l**3*s**2 + 356*l**3*t*u - 28*l**3*u**2 + 30034*l*s**3*t - 3276*l*s**2*t*u wrt s?\nAnswer: -21174*l**3*u**2 + 180204*l*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -3*c - 1. Let o = -6 + 8. Let x be j(o). Does 3 divide -2*x\/2*1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 528?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14089374?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5971 + 16471. What is z rounded to the nearest one thousand?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1361 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, b: 3}. Give prob of sequence bk.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -19067? (a) -1\/2 (b) -0.073 (c) -2\/45 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/1791 and -67\/123?\nAnswer: 73431","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -12*a + 342. Let m(c) = 3*c + 2. Determine 2*m(v) + x(v).\nAnswer: -6*v + 346","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the second derivative of -b**3\/3 + 7*b**2\/2 - 3*b. Find the first derivative of r(w) wrt w.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18697 to the power of 1\/4, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -13, 3, -1 in descending order.\nAnswer: 3, 2, -1, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.91 + -1.9. Let i = -3.99 - l. What is the closest to -1 in 5, i, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes after 1:03 AM?\nAnswer: 5:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -159137000 rounded to the nearest one million?\nAnswer: -159000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 124 and 7.\nAnswer: 868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/2 of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sjszssjjjzss. What is prob of sequence jzj?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 5*w + 2*j, -2*j + 5 = -5 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/(-5))\/((-14)\/(-6)*-1).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1255*x**3 - 593*x**3 + 1857*x**3.\nAnswer: 2519*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.13 minus -51.88?\nAnswer: 51.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -2*k + 502 - 1317, 0 = 5*g - 3*k - 1358. Let q = g + -150. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 20.083 to 1 dp.\nAnswer: 20.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-16)\/(-2)*(-6)\/8. Let t be (0\/(-2))\/(r\/3). Suppose 4*h - 5*h + 2*s + 10 = 0, 5*s = 4*h - 28. Is h != t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1286 and 432549958?\nAnswer: 1286","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 66 and 5005?\nAnswer: 30030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i + 11. Let n be o(12). Let j = 3 + 2. Let v(d) = j*d**2 - 14*d**2 + 3*d**2. Give v(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 3*s + 14. Let l(k) = k - 1. Let n(d) = i(d) - 2*l(d). Let j be n(-12). Let v(c) = 2*c - 2. Calculate v(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 equal to 11.5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 83481709 and 1510?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 2 w when four letters picked without replacement from {n: 2, w: 6, h: 4, j: 4, m: 1}.\nAnswer: 9\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**2 - 6*o + 69. Let u be l(-12). Sort u, 0, 2.\nAnswer: u, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8893*s**2 + 72*s + 71*s + 3534*s**2 - 143*s to the form r + k*s + j*s**2 and give j.\nAnswer: -5359","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + -2 + sqrt(2299))**2 - -6*(sqrt(2299) + 1*sqrt(2299))) + 2.\nAnswer: 44*sqrt(19) + 2317","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are 2138103 and 2138175 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1305 + 1309. Let n(o) be the second derivative of o**5\/20 - o**4\/4 - 2*o**3\/3 + 2*o**2 - o. Determine n(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) -2\/7 (c) -3\/5 (d) -3\/4 (e) -2\/3 (f) -0.078\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ba (base 15) in base 7?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 14\/(-56) - ((-10)\/8 - -1). Suppose 6*u - 10*u + 88 = b. What is the remainder when 153 is divided by u?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1199538 and -9733.961.\nAnswer: 1189804.039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 3, f: 2, e: 1, k: 10}. Give prob of picking 3 m and 1 f.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 11*s - 1. Let t(n) = -67*n - 11520. What is 6*f(p) + t(p)?\nAnswer: -p - 11526","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -533 (base 6) to base 11.\nAnswer: -173","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from ppmvdpvdvdvvv.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -2*b + 25. Let h be o(10). Let u(n) = n + 1. Let j(g) = -15*g - 14. Let l(z) = h*u(z) + j(z). Differentiate l(c) wrt c.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 576 and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 16) in base 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 2 - 20 = 5*n, 0 = 3*n + 12. Let s be (0 - q) + 0 + 740\/185. Solve 5 = -z - m, s*m - 13 = 4*z - 0*m for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3000 (base 6) in base 12?\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes after 3:15 AM?\nAnswer: 6:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 49*n**2 - 9*n - 71. Suppose 15*b = 17*b + 12. Is q(b) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/(-6))\/((-44)\/33).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 7001288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = 2*o - 30, 2*o - 1 - 11 = 5*w. Calculate the remainder when o is divided by 2\/8 - 27\/(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g - 3*y + 5*y + 7 = 0, 3*y = -3 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 264363 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/20)\/((-87)\/174).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -17*n + 13. Let w = 6 - 2. Let t(j) = 3 + 4*j + w*j - 3 - 6. Give 6*f(l) + 13*t(l).\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.004? (a) -3 (b) 3 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 = 132\/49?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -20*x + 4*x + 8*x + 9*x + 137 as d + a*x and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - f + 63 = 2*f, 2*j - f = 98. Let r = j - 32. What is the remainder when 35 is divided by r?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(1331)*-4 - sqrt(1331)))**2 + (sqrt(1331) + -3)*-1)*2 + -4.\nAnswer: -22*sqrt(11) + 2395802","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**3 - 11*n**2 + 13*n - 25. Let o be a(10). Suppose 5*z + 4*t - 4 = 5, 5 = o*t. What are the prime factors of -75*(20\/(-12) + z)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the first derivative of 7*c**3 + 1615. Let h(y) = -10*y**2. What is h(n(w))?\nAnswer: -4410*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -77 + 79. Let h be (-6 - p)\/((-2 - -3)*1). Suppose -18 = -0*f - f - 5*g, f - 3*g = -22. Is h less than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*c - 3*c - 2*c)*(-c + 4*c + c)*(2 - 2 - c)*(1 - 1 - 1).\nAnswer: -4*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(1*(-1 + sqrt(832)) - ((sqrt(832) - sqrt(832)*1) + -5))**2 + 2 + sqrt(832)*-1*6 + sqrt(832) + 0 + -5.\nAnswer: 88*sqrt(13) + 1693","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.062 + 28.062. Let d = 27.56 - j. Let r = d + -3.16. Round r to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 102100120002210 - -12?\nAnswer: 102100120002222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 0*w - j - 23 = 0, -4*j - 15 = w. Let o be (57\/3 - -1) + -1. Let s = o + w. Solve -s = -0*q - 2*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*v + 17*v - 9*v = 6210. Let u = 1538 - 4340\/3. Which is smaller: v or u?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -897971602 divided by 319\nAnswer: -2814958","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-10))\/((-154)\/110)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 202 = 2*o + 2*o, -181 = -4*o - 5*q. Let a be (-2)\/(-7) + 231\/o. Solve 0 = j - t - a, -14 = -2*j - 2*t + 5*t for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - z)*(-1 - 4 + 7) + 2*z - 4*z + 0*z + 7 - 10*z - 7 - 97*z.\nAnswer: -111*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**4\/9 + 39256*z**3\/9 - 32969612*z**2\/3 + 12729935680*z\/9 - 420630073600\/9.\nAnswer: -4*(z - 4840)**2*(z - 67)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1692185 - -3316958. Let y = -3024773 + u. Round y to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - 12 - ((158137\/(-14421) - -4) + 4\/46).\nAnswer: -4\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -144234575*h**3 - 1318*h**2 + 530*h - 6.\nAnswer: -865407450","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30865295 is divided by 4312?\nAnswer: 4311","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9 or 22?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12*0.05.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 - 4*p**2 - 2*p + 6. Let j be u(4). Calculate the common denominator of 4\/(-6) - (-9)\/2 and j\/8 - 543\/60.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1424 and 43254.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 30 and 40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssbtb. Give prob of picking 2 s and 1 b.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**2 - 27440*b + 47059600.\nAnswer: 4*(b - 3430)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -22*f + 7. Let h be p(-3). Let x be h\/(-42) - (-4)\/24. Are x and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.61 + 76.8.\nAnswer: 76.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -210 (base 3) to base 14\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/53? (a) -0.04 (b) -2\/5 (c) 10 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 42840 = 3*g. Is 5 a factor of g\/34*((-6)\/3)\/(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**2 - 10*a + 15*a - 3 - 3*a**2. Give g(4).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 149248856 a multiple of 194?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 2 a when four letters picked without replacement from {m: 1, o: 2, a: 4, g: 3}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in nine tenths of a litre?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 684495254 to the power of 1\/2, to the nearest integer?\nAnswer: 26163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, g: 2, h: 1, u: 2}. What is prob of sequence usgu?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*d = 31*d - 222 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u + 2. What is the tens digit of t(12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - 3*c + 1 = l, c - 3*l + 11 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (28\/(-42))\/(3\/((-9)\/7))\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-4)\/(-1) + (-24 - (-3402)\/160) and -33\/400?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82 is divided by 18?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**2 + 1. Let d(m) = -30*m**2 - 24*m**2 + 46*m**2 + 4*m**3 - 11. Let k(z) = -2*d(z) - 22*q(z). What is the third derivative of k(l) wrt l?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2370 + 2373. Let s(v) = 8*v - 29. Let t be s(4). Solve 2*b = -y*b + 20, -t*r + 7 = b for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -57*z + 70*z - 65. Sort z, -5, 48 in ascending order.\nAnswer: -5, z, 48","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b + b + b**3 + 4251*b**2 - 5*b**3 - 4251*b**2.\nAnswer: -4*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 810 and 340?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 - 1 + 0)*(t**2 + 0*t**2 - 2*t**2) + (4*t - t - t)*(-2*t + 7*t - 3*t) + 0*t**2 - t**2 + 2*t**2 + 1 + 2*t**2 - 1)*(2*t**2 + 4*t**2 - 5*t**2).\nAnswer: 9*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*k\/(k\/k**2)*k**(14\/3)*(k*k**(-8))**(28\/5) assuming k is positive.\nAnswer: k**(-473\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 60 - 4. Calculate the remainder when (70 + -28 + -40)\/((6\/(-405))\/(12\/(-9))) is divided by j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y + 9. Let p be w(-7). Suppose -5*k + 255 = p*x + 3*x, -x + 59 = 3*k. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2002, -1998, -1994?\n\"Answer: 4*i - 2006","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15 - 176. Suppose u + 4*u + 680 = 0. Let y = u - s. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(130))\/sqrt(10) + (3*sqrt(13))**2 + 0 + ((sqrt(520)*-2 - sqrt(520) - sqrt(520) - sqrt(520))\/sqrt(10))\/(-1*sqrt(36)) + 4.\nAnswer: -4*sqrt(13)\/3 + 121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 - -13. Which is the nearest to -0.1? (a) z (b) -1 (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9736773?\nAnswer: 3, 3245591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u - 36*m - 4 = -37*m, -u = -6*m + 37 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the second derivative of -i**5\/40 + 2075*i**4\/8 - 4305625*i**3\/4 + 8934171875*i**2\/4 + 411*i + 3. Factor g(m).\nAnswer: -(m - 2075)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 56 and 203.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*v + 22 = 4. Is v > -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((7 - 11) + 8)*-1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, o: 1}. What is prob of sequence jo?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -316 + 316. Suppose -14 = 5*u - 2*m, v*u - u - 3*m = -4. Which is the fourth biggest value? (a) 0.2 (b) -0.5 (c) 2\/7 (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 48 and 576?\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -c, -10 = -4*p - 0*c - 2*c. Suppose -3*f + 6*f + 29100 = p. What is f rounded to the nearest 1000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 k when two letters picked without replacement from ukuu?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*a**3*d + 55*a**3*y**2 + 2*a**3 + a**2*y + 64745*a*d*y**2 + 72676*a*d*y + 8 wrt y?\nAnswer: 110*a**3 + 129490*a*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eleven quarters of a decade?\nAnswer: 330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((-18)\/(-21))*(-9)\/(-189)\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -39e41 (base 16) in base 5?\nAnswer: -30041441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -27\/428 and -61\/856.\nAnswer: 856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1700) - ((-2 + sqrt(1700))*-2 + sqrt(1700)))**2 - ((2*sqrt(272))**2 + 1).\nAnswer: -160*sqrt(17) + 5727","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 135 = 2*c - 4*t - 271, 5*c + 3*t = 1015. Are c and 203 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q = -6*w + 43 - 1, w - q - 921 = -919 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w*w**(6\/11)*w*w)**(-2\/49)\/(w**(-7\/10)\/(w**(-23)\/w)) assuming w is positive.\nAnswer: w**(-126587\/5390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*l**2\/3 - 770*l\/3 + 29645\/3.\nAnswer: 5*(l - 77)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 84 (base 12) to base 3\nAnswer: 10201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80*c - 1072460 = -47740. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of -j**4\/4 + 7*j**3\/3 + 8*j**2 - 58*j + 4446. Determine f(8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000295121 to 6 dps.\nAnswer: -0.000295","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 13, d: 6}. Give prob of picking 3 q and 1 d.\nAnswer: 143\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 539*u + 16 = 541*u, 4*v + 5*u - 44 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the third derivative of 1\/20*f**5 + 0 - 2*f**2 - 1\/24*f**4 + 0*f**3 + 0*f. What is the second derivative of a(t) wrt t?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -b + 5. Let o = -2 + b. Suppose -o - 6 = -i. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**3 - 9*n**2 - 9*n - 6. Calculate f(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*w - 1282 = 2373. Let r = w - 204. What is the remainder when 73 is divided by r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 67, 5, -4 in increasing order.\nAnswer: -4, 3, 5, 67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 0*p = 388. Let d be ((4\/6 + -1)*-3)\/((-186)\/(-18042)). Is p < d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19359 = -17379*q - 342654 + 1214568 + 833208 for q.\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -4*x. Let t be u(0). Suppose -26*q + 21*q + 140 = t. Suppose 3*d = 2*d + 15. What is the remainder when q is divided by d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -26*a - 57*a - 63*a in the form y*a + q and give y.\nAnswer: -146","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 - 6. Suppose 0 = b - 83 + 81. Suppose -j*p - 2*p + 2 + 6*p - 2*p**b = 0. What is p?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20*f - 90 - 27*f - 346 + 70*f - 24*f to z*f + h and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 + -18. Is d >= -16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-32)\/(-7) + (-8)\/14. Suppose -24 = -h*k + 4*b, -3*k = -7*k - b + 9. Suppose -l + 17 + k = 0. What are the prime factors of l?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12032 (base 4) to base 7\nAnswer: 1106","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 673*1533\nAnswer: 1031709","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.01 times 336.5\nAnswer: 3.365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 4*q - 3*o, 5*q - o + 0*o - 8 = 0. What is the common denominator of 3 - (q - (-176)\/38) and -47\/11?\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-48)\/6*(-2)\/4. Suppose -4*x = 16, -2*w + 68 = -h*w - 2*x. Let z be (16\/(-10))\/(12\/w). Sort z, -5, 0 in decreasing order.\nAnswer: z, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 23*t + 37. Does 11 divide j(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -99\/14 and 2061\/(-462) + (-2)\/11.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 846070 and -3.\nAnswer: 846067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 - -60?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*j + 33*j = 29*j - 656 for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 divided by 30.\nAnswer: 11\/30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 332.6 + -333. Let q = 7 + -2. What is the third smallest value in -0.6, q, l?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -34*y + 3. Let u(h) = -2923*h + 259. Give 6*u(f) - 518*v(f).\nAnswer: 74*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 2*a**3 - 5*a - 4. Let u = -2381 - -2380. What is w(u)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9\/7 in -0.1, -2, 50.2, -14, 1\/4, 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d\/(d\/(d\/d**(3\/5)))))**(-1))**1 assuming d is positive.\nAnswer: d**(-3\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnidyd. Give prob of sequence dy.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -344*i + 33011 = 1477*i - 466*i - 13059 for i.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*q**2 + 1595*q - 1595*q + 3*q**2.\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**3 - 12*j**2 - 31*j - 5. Calculate l(-4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 342 and 29716?\nAnswer: 267444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2498436159?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - 22 = -x, 2*x = 18*d + 6*x + 81 + 249 for d.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -108 + 93.605. Let w = g - -6.509. Let u = w + 0.086. Round u to 0 decimal places.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**16\/u*u)**(-3\/10))**(-4\/41) assuming u is positive.\nAnswer: u**(96\/205)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8015072 to the nearest integer?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*t + 17*t**2 - 4*t**3 - 12*t**2 - 5*t**2.\nAnswer: -4*t**3 + 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 5*g = -8652641 + 8652593, g = -r - 6 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**3)**(-32))**(-2\/9) assuming h is positive.\nAnswer: h**(-128\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**2 + 8*p - 2. Suppose -4*n + 3 - 43 = 0. Let h be l(n). Solve 2*w + m = 7, 3*w + 3*m = -2*w + h for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 8445.4974us?\nAnswer: 0.0000023459715","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(220) + sqrt(220)*1*-2)\/(sqrt(121)\/sqrt(176)).\nAnswer: -8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:12 AM and 4:53 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2409 - 2410 - f**3 + 4819.\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1642080 by -29856.\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the first derivative of 8\/39*c**3 + 2\/13*c + 46 + 5\/13*c**2. Let g(q) = 0. What is q?\nAnswer: -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + -0.08. Which is smaller: k or 0.04?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2708 and -0.1?\nAnswer: 270.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-5*1)\/(-3 - -2). Suppose c*s - 156 = -4*q, -3*q - 5*s + 156 = 34. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -18*q**3 - 15*q**2 - 77*q - 326. Give v(-4).\nAnswer: 894","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 5*w - 17443, 11*w = -5*o + 6*w + 21725. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -k - 0*k + 119, 61 = w + k. Let r(l) = -l**3 + 9*l**2 + 6*l + 14. Let c be r(10). Let y = 46 + c. What is the remainder when w is divided by y?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -33 + 1300113333102?\nAnswer: 1300113333003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(-3)*3 - 1. Let f be k\/(-2)*(-3)\/(-3). Suppose -5*t - 3*o + 100 = f, 3*o + 3 + 17 = t. Solve -b = -5*b - t for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: a02 (base 12) to base 10\nAnswer: 1442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes before 7:27 AM?\nAnswer: 3:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -192 + 304. Calculate the common denominator of 59\/128 and 3 + 4 + (-348)\/x.\nAnswer: 896","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 3*k = 4*k, 0 = 5*b - 2*k - 1. Let r(v) = -143*v**3 + v**2 - v - 1. Let s be r(b). Suppose -3*w = -5*w + s. Does 24 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes before 10:51 PM?\nAnswer: 7:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/((216\/(-11))\/(-4) - 5). Let p(m) = m - 19. Determine p(a).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:20 PM and 12:05 AM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + (83 + -130 - -132)?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v when three letters picked without replacement from iviivviiiviviiii.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gfxxxfcxccgxxuc. What is prob of picking 1 f and 1 c?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p - 331 = 128. Let o be 0\/p - 2*-3*4. Solve -4*g = 4 - o for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (-2*sqrt(360))\/(sqrt(25)\/sqrt(405))*-6)**2.\nAnswer: 5184*sqrt(2) + 839824","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes before 10:32 AM?\nAnswer: 4:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**3 - 10*k**2 - 9*k - 19. Determine b(11).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -313, -628, -945, -1264, -1585?\n\"Answer: -y**2 - 312*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 4*r = -6, 2*r - 4*r + 8 = 0. Suppose 9 = -f - 4*t + 2*t, -g*f - t = 18. Is (-1 - -39) + f + 0 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 10005619 - 816111. Let n = -3517377 + g. What is n rounded to the nearest 100000?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3115450*p**3 - 21*p**2 + 493653*p?\nAnswer: -18692700","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/105 and 67\/33?\nAnswer: 1155","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the third derivative of 0*v**3 - 1\/15*v**6 + 0 + 1\/24*v**4 - 2*v**2 + 0*v**5 + 0*v. What is the second derivative of y(m) wrt m?\nAnswer: -48*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 2968 = 4*g, 6*t + 2*g = t - 3719. Let s = 6049\/8 + t. Let p = 12877\/6 + -2141. Calculate the common denominator of s and p.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9315 divided by 3105.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in five eighths of a day?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -343 - -301 - (-82 - 2)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9726 and 642.\nAnswer: 1040682","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -12951 in -2\/11, 0.2, 1\/4, 0.4?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/2128 or 10554?\nAnswer: 10554","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.01085 - -5302.98915. Let h = -5306.109 + z. Let f = h - -0.109. Sort 0.4, f, -2\/5 in decreasing order.\nAnswer: 0.4, -2\/5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -3*d. Let s(j) = j - 2280. Calculate s(v(f)).\nAnswer: -3*f - 2280","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(2\/9)\/a*a)\/(a*a*a**(-1\/6)))**(-2\/31) assuming a is positive.\nAnswer: a**(11\/279)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3855 (base 14) to base 8.\nAnswer: 23223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 50 = 5*b, 18 = -3*k + 4*k - b. What is the remainder when 77 is divided by k?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 602437.4 weeks in seconds?\nAnswer: 364354139520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = c - 5*k + 1648, 4*k + 3324 = 4*c. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**4\/2 - 25*k**3 + 296*k**2 - 816*k.\nAnswer: k*(k - 34)*(k - 12)*(k - 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 106 - 38. Let k = 13 + s. Find the first derivative of -11*d**4 - 43*d**2 + k*d**2 + 29 - 38*d**2 wrt d.\nAnswer: -44*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 4}. Give prob of sequence rr.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p**2 + 20734593*p - 41469198 = 0.\nAnswer: -6911533, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 48 and 45360.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2644 rounded to 2 decimal places?\nAnswer: -0.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 305*c**2 + c - 3. List the prime factors of k(1).\nAnswer: 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xrc when three letters picked without replacement from ocxrcrrcrotrcxcr.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 + 2.4. Let o(y) = y**2 - 21*y + 3. Let u be o(13). Let j = 98 + u. Sort j, -1, d, -2\/3.\nAnswer: j, -1, -2\/3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = l + 3. Let h = l + 1. List the prime factors of (h\/15)\/(1\/(-15)).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2414, -2976, -3534, -4088?\n\"Answer: 2*x**2 - 568*x - 1848","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 33 + 50 + 174*w + 119*w - 83 to c*w + b and give c.\nAnswer: 293","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4373 - -272?\nAnswer: -4101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 + -2. What is the units digit of ((-19)\/3)\/((-3)\/z)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -986706 divided by 756\nAnswer: -7831\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**2 - 2. Let n be b(2). What is the units digit of (-4)\/n*3 - -12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5735 + -5734.9. Let d = -1 + 0. Let g = d + 0.6. Which is the smallest value? (a) g (b) -0.5 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**2 - 9*q + 14. Let g be b(-10). Suppose s = g - 1. What are the prime factors of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**2 + 10*h + 7. Let u be r(-9). Let w be (-22)\/6 + u\/(-3). Suppose 0 = -3*t - 3 - 3. Let z(g) = -g. Let s(y) = 2*y. Calculate t*s(n) + w*z(n).\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*a**2 - 40905*a - 3240400.\nAnswer: -5*(a + 80)*(a + 8101)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56916\/(-2635)*2\/12*-10.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 55\/110 + (51\/12 - 4)*2. Let q = -110 - -34. Is x bigger than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*b**3 + 0*b**3 + 0*b**3)*(b**2 + 0*b**2 + 2*b**2) + 6 - 2*b**5 - 6.\nAnswer: 25*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 252099 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w + 4*w - w)*(-436 + 306 + 6271 + 4907 - 20 - 710).\nAnswer: 51590*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1344 is divided by 429.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13320\/(-300))\/37*(-20)\/(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -739, -1476, -2213, -2950, -3687?\n\"Answer: -737*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -190*n = -3272 + 7366 - 2764 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -6*x + 3*x + 59, -x - 262 = -4*d. Calculate the greatest common divisor of 45 and d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + j = -j. Let q(m) = 5*m**2 - 5*m - 3. Let k be q(-3). Suppose j = -k*v + 55*v + 16. Calculate the remainder when 29 is divided by v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 4*m + 12, 14 = -3*m + 6*k - 2*k. Let x(l) be the first derivative of l**4\/4 - 2*l**3\/3 + 2*l - 66. What is x(m)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + 4 - 0. Let h(d) = d**3 - d**2 - 4*d + 3. Let a be h(x). Is a >= 3\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -76 + 76.32. Let r = -0.34 + q. What is r rounded to three decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0236142*3.7\nAnswer: 0.08737254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-2*(sqrt(17) - (sqrt(68)\/(sqrt(16)\/sqrt(4)))**2 - ((sqrt(153)\/sqrt(3))\/sqrt(3) - sqrt(17)))*6.\nAnswer: -48*sqrt(17) + 816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + q + 0)*(-3 + 4 + 1) + (-7*q + 6*q - 7*q)*(-2 - 1 + 2).\nAnswer: 10*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes after 4:05 AM?\nAnswer: 9:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59080732 is divided by 542.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9760?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0\/3)\/(-4)*1. Suppose -3*n + n = -5*k + 3308, g = -5*k + 3*n + 3307. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 3*t**3 - 23*t**2 - 34*t + 221. Calculate w(8).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p - 4*g + 3 - 2 = 0, -5*g = -5 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(252))**2*5 + -1*(sqrt(252) - (sqrt(252) + sqrt(252) + sqrt(252)*3 + sqrt(252))).\nAnswer: 270*sqrt(7) + 1340","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, -45, 7, 1\/2, 580\/11, 2\/9, -2\/7?\nAnswer: 580\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -192 - -189 - 31\/(-4)?\nAnswer: 19\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 434 and 9548?\nAnswer: 9548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 716, 1437, 2160, 2885?\n\"Answer: l**2 + 718*l - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - q - 5)*(3*q**3 - 84 + 84) + 59*q**4 - 32*q**4 + 295*q**4 + 223*q**4 + 32*q**4 to b*q**2 + h*q**3 + z + n*q**4 + k*q and give n.\nAnswer: 574","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3\/24)\/((-27)\/12). Let s = 4\/9 - n. Let k be (-5)\/(-20) - 44\/48. Which is the fourth biggest value? (a) k (b) s (c) 1 (d) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4783167.\nAnswer: 3, 97, 5479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, x: 11}. What is prob of sequence xo?\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 35347?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**3 + 5*f**2 + 6*f + 2. Let n be q(-4). What is the common denominator of 2\/n + (-150)\/(-18) and 19?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -2*g**3 + 47*g**2 - 171*g + 11. What is the least common multiple of 304 and h(19)?\nAnswer: 3344","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 - 1) + (7 + -27 - -16)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**3 - 3*s**2 + 18*s - 1. Let o be t(-6). Let q be (-2)\/(-9) + 20\/(-9). Sort -3, q, o in increasing order.\nAnswer: -3, q, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) 0.1 (c) 15 (d) -1979 (e) -19\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4107143096?\nAnswer: 2, 7, 29, 2529029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**3 + 39*c**2 + 41*c + 119. What is u(-38)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 t when three letters picked without replacement from {f: 4, e: 2, t: 2}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 + 1110210012010210?\nAnswer: 1110210012010212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y**4\/5 + 2*y**3\/5 + 30*y**2 + 286*y\/5 + 28 = 0. What is y?\nAnswer: -7, -1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(81))\/sqrt(3))\/sqrt(9) - (sqrt(12) + 1)*-3.\nAnswer: 3 + 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4741144059 to the power of 1\/5, to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:22 PM and 9:17 PM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**1*a)\/a)**(-23)*a*a\/a**4*a**0)\/((a*a**(-6)*a*a\/(a*a**0))\/(a**(-7)\/(a\/(a*a*(a\/a**(-2\/17))\/a*a)))) assuming a is positive.\nAnswer: a**(-440\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -4*z - 4*z - 15*z**2 - 16 + z**3 + 15*z. List the prime factors of y(15).\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4*(-2)\/(-20) - 0. Let z = 19 + -8. Let x = z + -7. What is the closest to r in -0.4, x, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 4*v + 12 = -0, 0 = -5*v - 10 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**2 + 3*j + 18. Let p be y(6). Suppose 0 = -p*w - 7*w + 1533. List the prime factors of w.\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the first derivative of -y**2 - 6*y - 1. Suppose -4*k + 2*j = -k + 25, 4*j = -4*k - 20. What are the prime factors of t(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (79593\/(-13020) - (6 + 484\/(-77))) + 6 and 27\/40.\nAnswer: 1240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 390318*10.\nAnswer: 3903180","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 190 is divided by 37.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3108102917 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 7, w: 5, j: 4}. Give prob of picking 3 j and 1 q.\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from caaicnpcanncrnnipaca. What is prob of sequence inna?\nAnswer: 5\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -210576 + 690575. Suppose 3*a + 719996 = 4*m, 3*a - m + t = a. What is a rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + -2 + sqrt(75) + -5)*-5)**2.\nAnswer: -2750*sqrt(3) + 4900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6*56\/(-48))\/(14\/4). Let d(v) be the third derivative of 0*v**3 - 1\/20*v**5 + 0 + 1\/8*v**4 - 9*v**m + 0*v. Suppose d(c) = 0. Calculate c.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 466*s + 40027. Calculate o(-86).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add together 6 and 0.0337119991.\nAnswer: 6.0337119991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 100 is divided by 23.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add together -4396443 and -4275.4.\nAnswer: -4400718.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lo when two letters picked without replacement from exsxlco.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**2 + 422*c - 7980.\nAnswer: -2*(c - 190)*(c - 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 387229.96555+-0.23\nAnswer: 387229.73555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -10, -2, -37\/3?\nAnswer: -37\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6532.45 millilitres to litres.\nAnswer: 6.53245","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2668 is divided by 178?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 4*v + 3*d + 17, -v + 18 = -4*d. Sort v, -14, -2\/3.\nAnswer: -14, v, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 1 a when three letters picked without replacement from {i: 4, a: 15}.\nAnswer: 30\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**3 + 5*k**2 + 3*k + 7. Let p be s(-4). Let a(i) = i**3 - 11*i**2 + 2*i - 6. Let w be a(p). What is the highest common divisor of w and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 5*t + 4. Let i(j) = -2 + j + 2 + 1 + 0*j. Give -3*i(l) + r(l).\nAnswer: 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*p - 2*p + 6*p + (5 - 1 + 0)*(-2*p + 2*p + 2*p) + (p + 0*p - 2*p)*(-3 - 3 + 4).\nAnswer: 12*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 205 = -5*h, h + 0*s = -4*s + 20. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 827 + -813. Suppose -244669 = -g*x + 43759. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18 + 37. Suppose -o + u = -5*r, 10 + 7 = 5*o + r. Is 166\/4*8\/o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zjzj when four letters picked without replacement from zzjjzjz.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1692 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 2*m**4 - 5*m**3 + 2*m**2 - 2*m + 130. Let p(j) = -j**3 - j**2 + j + 1. Let s(k) = -2*p(k) - v(k). Find the first derivative of s(y) wrt y.\nAnswer: -8*y**3 + 21*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 654.1869 * -5.\nAnswer: -3270.9345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3 + -1)\/(4\/2). Suppose -g = 5*j - 141. Calculate the lowest common multiple of j and 10.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 + -66?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 65140?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1201200210020 - 12?\nAnswer: -1201200210102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-68)\/(-5) + 2\/5. Let n(v) = 153*v**2 - 2*v + 3. Let l be n(1). What is the highest common factor of l and j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -8 + 2 - 5*l - 2 + l. Let o be k(-3). Suppose 3*u + 5*x = 41, 0*x - o*x - 5 = -3*u. Solve 0 = u*r - 3*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 233 divided by -653101\nAnswer: -233\/653101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a meter in millimeters?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 51\/(-34) - (-1 - 0). Suppose 0 = -2*g - 0*p - 4*p + 52, 4*p + 28 = 3*g. Let k be (-1 + g\/14)\/1. What is the third smallest value in -2\/9, i, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 1372905?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3913\/5 at least as big as 43?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75*x - 6*x - 46828 = -23*x. What is the remainder when x is divided by 73?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -261 - -266. Suppose 13183 = h*v - 16782. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, -13, -2, 13, 8.\nAnswer: -13, -5, -2, 3, 8, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve y**2\/5 - 102556426*y\/5 + 2629455128473369\/5 = 0.\nAnswer: 51278213","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 153*t + 12605. Determine b(-83).\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 + 2*r**2 - 3*r. Suppose 5*t + 2*b - 26 = 0, 2*t - 2*b - 23 = -21. What is the lowest common multiple of v(2) and t?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (-9 + 5 - -11)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**3 + 10*c**2 + 54*c + 34. Determine p(14).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 5*k = 48, 10020 - 10159 = -7*t + 3*k for t.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 54 = 3*i. Suppose -a + i = -0*a. Let y(q) = 8*q**2 - 2*q - 1. Let h be y(-1). Calculate the greatest common factor of a and h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -7*-1*1356\/42?\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 944933 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**3 + s**2 + 5. Let b be c(0). Suppose 2*k - 6*k = n - 4, 5*k = -3*n + b. Suppose -2*i = -n*i + 2, 5*y = -5*i + 170. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 267 and 1543679457?\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 5*n = -12, -2 - 7 = -3*r - 4*n. Suppose -b - 4 = -3*b - r*j, 4*b + 28 = 3*j. Sort 4, -3, 0, b in descending order.\nAnswer: 4, 0, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -789?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11232120403 + -101?\nAnswer: 11232120302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -87*y + 650. Determine d(8).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 + 3*n**2 + 2*n + 1. Let x = 208 - 116. Suppose -89*d + 9 = -x*d. Give v(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -u + 2*o, 3*u + 3*o = u + 26. Let z = u + -7. Suppose r = 2*r - 11*r. Solve r = -6*m + z*m + 9 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*t**2 - 5*t**2 - 2*t + 4*t)*(-4*t - 2*t + 2*t)*(27*t**2 + 23*t**2 + 26*t**2).\nAnswer: 304*t**5 - 608*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -6*g + 7. What is p(7)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is c6b4 - 21?\nAnswer: c693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -214 + 224. Let p be -5 - -3 - (2 - c\/1). What is the highest common factor of p and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-160)\/(-300))\/((-30)\/45)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 - 3 + (5 - 1 - 2)*(2 + 2 - 2) - 1 + 4 - 1 - 1 + 0 + 8)*(2 + 10*u**4 - 2).\nAnswer: 120*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -1155*n**2 + 34*n. Let p(m) = -4619*m**2 + 147*m. Determine -26*f(z) + 6*p(z).\nAnswer: 2316*z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:15 AM and 3:57 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 187.598 + -188. Let c = k + -0.098. Let t(s) = s**3 + 7*s**2 + 6*s - 4. Let f be t(-6). What is the second biggest value in c, f, -0.4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -4*v. Let k(c) = -3*c + 1. Let p(j) = -5*i(j) + 6*k(j). Let t be p(-8). Let x = t + 15. Solve 12 = -3*g, 2*u + x*g = -0*u - 16 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -c*y**2 - 386*c*y + 213*y**2 + y wrt c.\nAnswer: -y**2 - 386*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*s - 6638799 + 6644159 = 0 for s.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-48)\/10)\/((-9)\/(-30)). Suppose -18*d = 26*d + 12*d - 168. What is the third biggest value in r, 1\/3, d?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.7 + 3. Let j = l - 0.1. Let i = 10.7 + -10.9. Which is the closest to j? (a) i (b) 2\/7 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 74487400 and 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -2*g - 8, 3*g - 1 = -2*c - 0. What is the third derivative of 2*s**5 - 12*s**2 + 8*s**2 - s**6 - c*s**5 wrt s?\nAnswer: -120*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the first derivative of 13 + 0*u**2 - 1\/3*u**3 + 0*u. Let k(a) = 22*a. What is k(o(d))?\nAnswer: -22*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1344 divided by 224?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2b6 (base 13) in base 15?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -2*d**3 - 73*d**2 - 36*d + 3. Let x be p(-36). Let l(h) be the first derivative of 80*h + 5\/3*h**x + 13 - 20*h**2. Let l(u) = 0. What is u?\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**3 + j**2 + 12. Let p(i) = -3*i**3 - 3*i**2 + 607. Determine -p(y) - 5*r(y).\nAnswer: -2*y**3 - 2*y**2 - 667","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 1227*b**2 - 2*b + 1. Suppose 294*v - 285*v = 9. What are the prime factors of c(v)?\nAnswer: 2, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 498975?\nAnswer: 3, 5, 6653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(315)*1*-5)\/((sqrt(720) + sqrt(720)*-1 - sqrt(720))*3).\nAnswer: 5*sqrt(7)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are 6 and -45239191 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/5 (b) -4722 (c) 3263\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (5 - -1) + -426 + 408.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 821451285.\nAnswer: 3, 5, 313, 58321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*q**2 + 260*q**2 + 49*q**2 + 2*q**2 + 5*q**2 - 5*q**2 + (0*q + q + q)*(0*q + 3*q - q) in the form j*q**2 + l + v*q and give j.\nAnswer: 305","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*n = 21*n + 38. Put -1, -2, n, 2 in increasing order.\nAnswer: -2, -1, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15 + 5. Let z = w + 12. What is the smallest common multiple of z and 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2025 + 3421 = -31*v - 81*v + 1750 for v.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*r + 10 = 23*r. Let q(h) = 12*h**3 - h**2 - 4. Let y(f) = 13*f**3 - 5. Let d(j) = r*q(j) - 4*y(j). What is the third derivative of d(p) wrt p?\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.903610216 rounded to two dps?\nAnswer: -7.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1741359.\nAnswer: 3, 563, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 3*c + 204 = 0, 6 = 4*c - 10. Suppose -y = -5*b - k + 55, 0 = 5*b + 5*k - 115. What are the prime factors of b?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f**2\/4 + 13*f\/4 - 99\/2 = 0. What is f?\nAnswer: -22, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 - -12030?\nAnswer: 12101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1309 + -958. Is u even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence inw when three letters picked without replacement from {i: 3, n: 2, j: 1, w: 3, m: 1, d: 3}?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*n**4 + 38*n**3 + n**2 + 4036*n.\nAnswer: -60*n**2 + 228*n + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lmpmb. What is prob of sequence lb?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -11*a**2 - 134*a - 4499. Let d(x) = -2*x**2 - 2. Let o(t) = 5*d(t) - r(t). Factor o(c).\nAnswer: (c + 67)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 - 2 - -3 - -4 - 6\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:32 PM and 11:36 PM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 609180154?\nAnswer: 2, 11, 971, 28517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7965418.\nAnswer: 2, 17, 13781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-26*(-64)\/208)\/(-14).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -988110, -14, 2\/3 in increasing order.\nAnswer: -988110, -14, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/39 in 7, 2, 0.5, -1.2, 0.12?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the second derivative of -w**6\/90 + w**5\/20 - w**4\/18 + 4*w. Factor s(q).\nAnswer: -q**2*(q - 2)*(q - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7 by 116538618.\nAnswer: 1\/16648374","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-2*((1 + sqrt(5))**2 + sqrt(5)).\nAnswer: -6*sqrt(5) - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -117, -216, -367, -558, -777?\nAnswer: -1012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -18430 divided by 485?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 - 3)\/(-5 + (-3984)\/(-796)). Let w = 599 + m. Suppose 8 + 4\/9*d**3 - 16\/9*d**w - 4\/3*d = 0. Calculate d.\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*((-112)\/(-12))\/7.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 3*l**3 - 6*l**2 - 6*l + 1. Let o(z) = 4*z**3 - 5*z**2 - 5*z + 1. Give -5*i(a) + 6*o(a).\nAnswer: 9*a**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(220)\/(sqrt(720)*1))\/((sqrt(16)\/sqrt(4)*-4 - sqrt(4)) + sqrt(4) - sqrt(12)\/(sqrt(12)\/sqrt(4))).\nAnswer: -sqrt(11)\/60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88*s**4 + 48*s**3 - 48*s + 140*s**2 + 53*s**4 - 144 - 137*s**4 = 0. Calculate s.\nAnswer: -6, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 4*i + 10 = -4*q, -5*i = 3*q - 27. Solve -i*l = -l - 15 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/(-15))\/(7\/21)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4b91 (base 14) in base 3?\nAnswer: 200012002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2\/27))**25\/(t**2*(t\/(t\/(t*(t**8\/t)\/t)*t))\/t) assuming t is positive.\nAnswer: t**(-239\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/12*0\/(-7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a litre in millilitres?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 - (-16)\/(-50)*(-20)\/(-8). Put v, -0.2, 0 in descending order.\nAnswer: v, 0, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000051 to six dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 116837 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -579571, -1159102, -1738633?\n\"Answer: -579531*b - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/5 - 1624\/(-1120)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:41 AM and 3:20 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -1 + 6 + (3 - -2) - 5\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r**2 + 3*r**2 + 5*r**2)*((2 + 5 - 4)*(-2*r - 2 + 2) + (-1 - 2 + 1)*(2*r - r + 0*r))*(-2*r + 10 - 10 + 3*r**2).\nAnswer: -144*r**5 + 96*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -248.27 and -2.\nAnswer: 496.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/36 - (65\/(-60) - -1)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in three fifths of a tonne?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) -7 (c) -5 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.1 + -3.1. Let d = 9 + -4. Let i = 0.27 + -0.57. Sort h, d, i.\nAnswer: h, i, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/10, -8\/161, -13 in decreasing order.\nAnswer: -8\/161, -3\/10, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -5, -4, -8556?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 440 = -485. Let c be a\/9*3*4\/10. Factor -c*y**3 + 8\/5 + 2\/5*y**4 - 2*y**2 + 6\/5*y.\nAnswer: 2*(y - 4)*(y - 1)*(y + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the third derivative of -h**7\/210 - h**3\/3 - 13*h**2. What is the derivative of o(k) wrt k?\nAnswer: -4*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -47558*z**3 - 25*z + 27. Let f be o(-11). Suppose w = 11*w + f. What is w rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 7*i**2 - 13*i + 12. Let r be m(9). Let u = r + -285. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/3, 227\/1491, -0.5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 134*d - 28 = 127*d - 2*s, 4*d - s = 16 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5722, 45551, 153660, 364189, 711278, 1229067, 1951696?\nAnswer: 2913305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.07, -0.8, 0.2, -1\/20?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 5 - 9. Which is smaller: -1\/173 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 19*i**3 - 162*i.\nAnswer: 114*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*a**2 + 130*a - 135.\nAnswer: 5*(a - 1)*(a + 27)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 100010111011000101100100 (base 2) in base 15?\nAnswer: c0c87b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -37 - 41. Let f be (-1 - 75\/h)\/(4\/16). Let t = 1.26 - 0.26. What is the closest to t in 0, f, -1\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -28*i**2. Let f(h) = -2001*h**2. Determine f(d(v)).\nAnswer: -1568784*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**3 + 18*g**2 + 16*g - 14. Suppose 0 = -2*j - 4*p - 30, j + 5*p = 2*p - 14. Let x be m(j). Solve 2*u - 3*u - 2*s + 3 = 0, -x*u = -3*s for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (48\/(-40))\/((-1)\/5). Let o(h) = -h**3 + 6*h**2 - 2*h + 9. Let n be o(d). Calculate the common denominator of (-434)\/60 + (1 - 2) - n and 137\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3a4 - 5341?\nAnswer: -5715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes before 2:57 AM?\nAnswer: 2:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (-25 + -15 + 9 + 6)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.7 times -0.32\nAnswer: -0.224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4955011 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -37 - -21. Let i = b - -17. Let z be 2 + 2 + (-1 - 0). Solve -3*k - 6*n + n = -23, -n + i = -z*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 49, 127, 241, 385, 553, 739, 937?\n\"Answer: -d**3 + 24*d**2 + 13*d + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 14074 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(55)\/sqrt(5))**2 + -2 - (-6*3*sqrt(176))**2.\nAnswer: -56990 - 10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (15\/(-9))\/(1\/(-3)). Suppose -k + 0*k + p = 4*b, 5*b = -2*k + 10. Solve c - 3*q + 1 = -c, 0 = -5*q - k for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8329429 is divided by 734.\nAnswer: 731","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7512060, -30048231, -67608516, -120192915, -187801428, -270434055?\nAnswer: -368090796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7 and 727?\nAnswer: 5089","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of d*m*v**2*z + 17*d*m*v*z**2 + 137*d*m*v + 27*m*v**2*z**2 - 3*m*z + v*z wrt z?\nAnswer: 34*d*m*v + 54*m*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 - -3. Find n such that 4*n**5 - 7*n**3 - 4*n**4 - 3*n**5 + 3*n**d - 2*n**5 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 375 minutes before 7:10 AM?\nAnswer: 12:55 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes before 10:45 AM?\nAnswer: 10:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 2 + 8 + -17.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15141995 and 55?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 16 - 21 - w**2 + 4 + w. Let j(k) = -4*k**2 + 3*k - 4. Let i be (1 + -2)*5\/(-5). Suppose -2 = -h + i. Calculate h*u(z) - j(z).\nAnswer: z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in one quarter of a microgram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f. Let x be 8 - (0 + 0 + 2). Let b(k) = 9*k**2 - x*k**2 - 5*k**2. Give l(b(j)).\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 4 - 3 - (-29 - -27)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does -32853849 = -32853851?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/5 or -241633.67?\nAnswer: -241633.67","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 10 + (-25 - -4) + 17\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1267 divided by 2?\nAnswer: 1267\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/10)\/(476\/(-170)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) -4 (c) -42604 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 560 = 4*i. What are the prime factors of (-4*5\/i)\/((-2)\/200)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43192 to the power of 1\/2, to the nearest integer?\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3*2*4\/(-6). Let x be (-2 - (-5)\/2)*o. Suppose -45 = x*s - 5*s. Calculate the greatest common divisor of 135 and s.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 132860639 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -248*w**5 - 2*w**3 - 992*w**2 wrt w?\nAnswer: -14880*w**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 22 and 2 + 4 - 3*8\/12.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2 and 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 1, -4, -0.235, 89, 4\/9?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.006 + -4.006. Let k = s - 1.5. What is the nearest to k in 4, 2\/11, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -16*c**2. Let v(j) = -10. Let q(o) = -29*o + 30. Let x(n) = -q(n) - 3*v(n). Determine x(u(s)).\nAnswer: -464*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:12 PM and 1:16 AM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11)\/(-3)*(39\/(-1))\/13?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*p**2 + 8871 + 9262 - 27511 + 9016 as o*p**2 + n*p + z and give o.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (0 + -4 + 2 - -2) + 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 586698 by -41907.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the second derivative of w**2 - 3*w + 0*w**5 + 0*w**4 + 0 + 1\/10*w**6 + 0*w**3. Differentiate n(s) wrt s.\nAnswer: 12*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -149256544, -149256545, -149256546?\nAnswer: -149256547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 72*-17361\nAnswer: -1249992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1852*x - 100 = -1857*x + 6*l, -2*x - 4*l = 56 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7722945889 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1\/5 (b) 3 (c) 2 (d) 12\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/3 or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 20188 + -20189. Let r = -0.05 + -0.25. What is the nearest to o in -4\/5, r, 5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 + 3 - 0) + -4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from qiiqisbiisib?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -6, -11 in descending order.\nAnswer: -6, -10, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -23 - -100452332?\nAnswer: 100452305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13 - 7. Let q be 15533\/1029 - 15 - 4\/(-7). Which is the closest to q? (a) 0 (b) -5\/3 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1392 is divided by 93?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 1994, 8, 13 in increasing order.\nAnswer: 8, 13, 1994","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 3*b + 1 = -2*b, -5*b + 2 = a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.34 times 0.01?\nAnswer: 0.0034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15833*t - 8 = 15830*t - 2*c, 6*c - 24 = -2*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 2393?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-2*5\/15)\/((((-3000)\/340)\/25)\/9)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2267240?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**3 - 9*n**2 - 2*n + 22. Calculate b(8).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 4, y: 2}. Give prob of picking 1 y and 3 t.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + 1 = -5 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (128\/36*6\/(-40))\/((-251)\/(245980\/1176)).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.4650716 - 0.0749309. Let b = f - -1.54. Round b to 6 dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**3 + 57*w**2 + 160*w + 92. Determine k(-54).\nAnswer: 200","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -58.\nAnswer: 1\/58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - -3. Let u(t) = t**3 - 3*t**2 - 3*t - 2. Let z be u(x). Suppose -z*i + 32 = -i. Calculate the remainder when i is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 c when two letters picked without replacement from llllllllcllplll?\nAnswer: 13\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 125 = a, 0 = a + a - 4*i + 234. What is the common denominator of (-1850)\/132 - 11\/(a\/2) and 102\/(-22) + (0 - 0)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/129915 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 199 = 2*d + 2*d, 2*z = -6. Let h be (-2)\/4 + d\/4. Let a(x) = -120*x + 6284. Let o be a(52). Calculate the greatest common divisor of o and h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - 1.5. Let h = 2.6 - 7.6. Which is the closest to -2? (a) h (b) 3 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 2 s when three letters picked without replacement from {s: 5, r: 8, k: 4}?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -6*r - 4. Is 0.06 bigger than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 98995398179 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64678349.\nAnswer: 64678349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180)\/(sqrt(10)*-1) + sqrt(18) + sqrt(288)*-1)\/(sqrt(378)\/sqrt(63)).\nAnswer: -4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*i + 7 - 10 + 3 as v*i + u and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -174*a + 1. Let y(v) = -2*v**2 - 5105*v. What is y(t(s))?\nAnswer: -60552*s**2 + 888966*s - 5107","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*y**2 + 0*y**2 - 6*y**2)*(-2 + 2 + 2) + 2*y**2 + 0*y + 0*y.\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -18225210.56 rounded to the nearest one thousand?\nAnswer: -18225000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the second derivative of -11*z**5\/10 - 2*z**4\/3 + 24*z. Find the third derivative of q(u) wrt u.\nAnswer: -132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 5 + 0 = 0, -4*y + 283 = -3*j. Suppose 0 = -3*k + k + 68. Calculate the remainder when y is divided by k.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4*((-22)\/(-28) + (-4)\/14). Suppose 3*s = -n + 3, 2*s + f*n + 12 = 5*s. Suppose s*r - 444 = -0*r. List the prime factors of r.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the second derivative of q**4\/6 + q**2\/2 + 44*q. Let x be f(1). Solve 5*s - 14 = x*y, 2*y + y + 9 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31455 is divided by 24?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 21\/8 of a meter?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 105409 to the power of 1\/3, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -193 equal to 1.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12760 - -13563. What is the smallest common multiple of o and 1168?\nAnswer: 12848","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1321507 + -401193. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(-2\/5))**(18\/13))**(-21))**(4\/7) assuming o is positive.\nAnswer: o**(432\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, 64, 0.3 in increasing order.\nAnswer: 1\/5, 0.3, 64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5125 at least as big as 10.72?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**2 + 5977*o - 216497. Calculate u(36).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 20612369 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 15, g: 3, t: 2}. Give prob of picking 1 g and 1 y.\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001826 to 6 decimal places.\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) -378.2 (c) -0.12 (d) -0.35 (e) -3\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from szstssztstuztsgszsps. What is prob of sequence zp?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in fourty-eight fifths of a centimeter?\nAnswer: 96000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8*(-21)\/(-98)*42\/18.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 3*v - 583858 = 264674, -4*v - 565686 = -2*u. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in sixty-one halves of a day?\nAnswer: 43920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 4*m**2 - 6*m - 1. Suppose 4*l + 23 = 3*x, 4 + 4 = -4*l. Let v(p) = -2*p**2 + 3*p. Determine x*v(o) + 2*r(o).\nAnswer: -2*o**2 + 3*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002134724 to 7 dps.\nAnswer: 0.0000213","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -2043989 less than -52?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*f - 0*f. Let t = -1 + 7. Let i be (f\/2)\/(9\/t). What is the nearest to -1\/3 in -0.1, i, -2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 8, 2, 0, -8, -45060?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -1097*q + 785. List the prime factors of t(-18).\nAnswer: 7, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1)*m*m**5)\/((m*m**(3\/2)*m*m)\/(m*m*(m\/m**1)\/m)) assuming m is positive.\nAnswer: m**(3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 1447 divide 2382940485?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3720528 and 27.\nAnswer: 11161584","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is 848322266 to the power of 1\/2, to the nearest integer?\nAnswer: 29126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 2*s**3 - 4*s + 3. Let q be -2 + (0 - 2*-1). Let y = 2 + q. List the prime factors of r(y).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand k + 0*k - 2 + 0*k + (-2*k - 2 + 2)*(1 - 3 + 5).\nAnswer: -5*k - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 30 = u. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 6*l = 132*v + 112, -6*l + 2*l = 2*v + 596 - 578 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -257, -277, -297, -317, -337, -357?\nAnswer: -377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*a = 123*a - 25*a - 3480 for a.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 650 - 1074. Let o = t + 399.38. Let f = 24 + o. Round f to 1 decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 3*v**2. Let s be 3\/10 - 777\/(-210). Let u(c) = -11*c + s*c - 17*c - c. Give u(w(o)).\nAnswer: -75*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -145 + 292 + 2*l - 150. Let q = -3 - -5. Determine a(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1800297440?\nAnswer: 2, 5, 11251859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 7*x**2 - 59*x + 36. Let a(f) = -3*f**2 + 29*f - 18. Let i(t) = 5*a(t) + 2*q(t). Let u be i(26). Solve u*y = 10*y + 10 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -135.9 - -135.9. Suppose 0 = d - 0 - 2. Let o be (2 + -1)*d\/3. Sort n, o, -1 in increasing order.\nAnswer: -1, n, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -825 at least as big as -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21179, -84471, -189591, -336239, -524115, -752919?\nAnswer: -1022351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0631 and -0.07.\nAnswer: 0.004417","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:51 AM and 2:59 PM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 303\/(-1313) + 2592\/78.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*x = -30*x + 672. Suppose -118 = -2*u + 4*d, 4*u + 4*d = 2*u + 126. Calculate the remainder when u is divided by x.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:29 AM and 8:39 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the second derivative of 1 + 2*w + 81\/5*w**2 + 6\/5*w**3 + 1\/30*w**4. Solve t(n) = 0.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/50*(-9)\/(-9).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 680? (a) -0.058 (b) -1614 (c) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from fzfkfxfffxxfkfxzzff?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 17519?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 34*-7386.468\nAnswer: -251139.912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 934 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**(3\/4)\/r**(-3))\/(r*r**7\/r*r\/(r**5\/r*r)))**(-32))**46 assuming r is positive.\nAnswer: r**(-1104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from {u: 5, i: 1, r: 3, t: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 55*l**3 - 1 - 525*l**4 - 5*l + 7*l + 522*l**4 in the form m + d*l**4 + q*l**3 + r*l**2 + a*l and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 314021 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 667*f**3 + 1380*f**3 + 894*f**3.\nAnswer: 2941*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:26 AM and 11:54 AM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*g + 2 = -11*g. Let f be (7 - g) + -18 + 14. Let x = f + 17. What is the highest common divisor of 105 and x?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1144751 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.0562 - -0.05\nAnswer: -0.0062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -28 + 49. Let a(c) = 6*c**3 + 151*c**2 + 524*c - 19. Let z be a(-21). Solve -5*w - z = 3*s + h, -3*w = -3*s + 9 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5231009308 to the power of 1\/3, to the nearest integer?\nAnswer: 1736","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 7*w = 5*j - 673, 423 = 3*j - 3*w. Let a = 200 - j. List the prime factors of a.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51233445 is divided by 16892.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and -0.956.\nAnswer: 0.2868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -549.67 from -0.0396.\nAnswer: 549.6304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:47 AM and 10:04 AM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 4*y + 5*k, 2*y - 4*k + 3 = -19. Suppose 24 = -3*d - 21. Let j be 33\/d + (-8)\/(-40). What is the smallest value in j, -3, y, 5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k be (-15)\/(-2)*10\/25. Solve -16 = -c + k*l, 5*l = 5*c - 21 - 9 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48)\/sqrt(4) + 3 + ((-2*sqrt(96))\/sqrt(8) - sqrt(12)))**2 + (((-1 + sqrt(363) - sqrt(3)) + 3*(0 + sqrt(3) + sqrt(3)))*-5)**2.\nAnswer: -824*sqrt(3) + 19282","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 42\/(-5) + (-12)\/(-30). Let w(b) = -b**3 - 9*b**2 - 3*b - 6. Let d(m) = -m**3 - 9*m**2 - 4*m - 5. Let a(s) = -3*d(s) + 2*w(s). Is a(l) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2122211210220 (base 3) to base 15.\nAnswer: -1cdeec","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.6 in -4, 8, -5, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 87606.44cm in micrometers?\nAnswer: 876064400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(693)*2 - sqrt(693))\/sqrt(11))\/((sqrt(9) - -2*sqrt(9))*-3).\nAnswer: 4*sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.08 + -0.05. Let x = 2.97 + q. Which is the third biggest value? (a) -1\/3 (b) x (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 f, and 1 o when three letters picked without replacement from {k: 5, i: 4, o: 7, f: 2}.\nAnswer: 35\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 90032180?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 226 is divided by 39?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3935525608 to the power of 1\/3, to the nearest integer?\nAnswer: 1579","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 42359?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 649*a - 7741369 + 7640774 for a.\nAnswer: 155","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5184922 - -4?\nAnswer: 5184926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sdpppsdplspdp. Give prob of picking 2 d and 1 s.\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1605032529 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*k**4 - 7*k**5 - 4*k**4 + (-2*k + 2*k + k)*(k - k + 2*k**4) + 55*k**4 - 55*k**4 - 9*k**5.\nAnswer: -14*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 + (-1 - 1) - 6) + 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 338*a = 181*a + 15072. Calculate the greatest common factor of 2712 and a.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -31 - -31.01. What is the closest to 1 in 2\/9, 1\/9, q?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -120*r**2 - 3*r - 6. Let h(w) = 1079*w**2 + 26*w + 52. Calculate 3*h(m) + 26*n(m).\nAnswer: 117*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 2*u = 5. Suppose u*p = 2*p + 18. Let n(x) = 2*x**2 - 3*x - 5. Is n(p) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -21 + 71. Suppose 0 = -3*r - z + x, r + 5*z = -0 - 2. Does 9 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*i + 8 + 25*i - 8 in the form c + f*i and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.02 + -1.02. What is the nearest to w in 1\/5, 5, -13?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0302837 to 3 dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 divided by 104148.\nAnswer: 1\/9468","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7 times 0.095?\nAnswer: -0.0665","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-5)\/10 - (-104)\/16)*46. Calculate the highest common divisor of 36 and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -71 - 0.1119859.\nAnswer: -71.1119859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -6*p + 2. Let s(t) = -26*t + 9. Let v(w) = 2*s(w) - 9*x(w). Let y(q) be the first derivative of 86*q**3\/3 - 2*q + 1. Determine v(y(b)).\nAnswer: 172*b**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15094, 94, -1 in descending order.\nAnswer: 94, -1, -15094","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the first derivative of -f**3\/3 + f**2\/2 - 3*f - 432. Determine s(-3).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 414?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -109, -111, -113, -115?\n\"Answer: -2*j - 107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 18018839 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**2 + 4*z - 7. Suppose 0 = 3*y - 1 - 20. What is j(y)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44378 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11730 divided by 10.\nAnswer: 1173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 + 5. Put -3\/4, -0.4, n in decreasing order.\nAnswer: -0.4, -3\/4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*g - 2 + 2)*(5 - 22 - 32 - 1) as u + r*g and give r.\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**3 + 49*x**2 - 212*x - 352. Let o be r(44). Solve o = -3*w + 5*f + 26, -102 = 3*w + 3*f - 96 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 260 + -37. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 390953 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -13815*h - 69077. Calculate x(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -485513917 divided by -6\nAnswer: 485513917\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(1\/2))**(-21)\/(z*z\/(z*(z**4*z*z*z)\/z)*z**0) assuming z is positive.\nAnswer: z**(-53\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1643017 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1860 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: Which is greater: 4.7 or 2742241?\nAnswer: 2742241","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 - t**2 - 103*t - t**3 - 3 + 101*t as s + x*t**3 + a*t**2 + j*t and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -3*i. Let d be v(-1). Suppose -d*w - x + 2*x = -34, -w + 8 = -x. List the prime factors of w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-7 - -10) + -3 - (194 + -198)) + 13 + 2\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 3*i = 32, -2*u - 16 = -4*i - 54. What is the lowest common multiple of u and 51?\nAnswer: 561","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -194, -2253, -1 in decreasing order.\nAnswer: -1, -194, -2253","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 27 and 38454.\nAnswer: 346086","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -188 + 193. Suppose j + 740 = q*u - 4*j, 0 = 2*u - j - 291. What are the prime factors of u?\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes before 2:26 PM?\nAnswer: 2:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 5) in base 2?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 0*o = 1. Let t = 9 - o. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33231 = 1947*z + 44913 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h - h. Suppose 3*p - 7*p = h. Suppose -x = -4, w + p*x - 3 = 5*x. What is the remainder when 44 is divided by w?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the first derivative of l**4\/4 - 2*l**3\/3 + 3*l**2\/2 + 58*l + 138. Does 5 divide a(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 434653306?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**2 - 2*l - 13. Let u be x(5). Is 3 not equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x + 1. Let v(n) = 20*n - 3. Suppose -10 = 7*l + 11. Let b(j) = l*w(j) - v(j). Let h(z) = z**2. What is h(b(a))?\nAnswer: 529*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-7)\/(-2)*(-14)\/(-98)*(-144)\/(-24). What is the highest common factor of 309 and v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:21 PM and 9:51 PM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wpppwpppwppww. What is prob of picking 3 p and 1 w?\nAnswer: 56\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the third derivative of 0*l + 2 + 1\/14*l**4 - 1\/210*l**5 + 0*l**3 - 46*l**2. Let g(z) = 0. Calculate z.\nAnswer: 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/89776 and 47\/9617254?\nAnswer: 76938032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 396 + -391.94. Let m = i + -4.1. Which is the smallest value? (a) m (b) -1\/3 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51104*q**2 - 102670*q**2 + 51220*q**2.\nAnswer: -346*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 500002100 to the nearest integer?\nAnswer: 22361","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of ((-328)\/40 + 10)\/((-2)\/(-10)) and 78?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 58 + -51 - (1 + 7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -32 + -10 + 13 + (-2 - -9).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.3 (b) 21 (c) 45 (d) -40\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 174.740454 minutes to weeks.\nAnswer: 0.0173353625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -574012 + 170972 = 2*w - 22*w. List the prime factors of w.\nAnswer: 2, 11, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 56.27 and -5.\nAnswer: -281.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2\/9 (b) -111 (c) -0.1 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.1 (b) -1 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**3 - 3*s**2 - s - 4. Let z be j(4). Let b(m) = m - 4. Let y be b(z). Suppose 55 = y*n + 15. Is n at least as big as 10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -3*r - 4. Suppose -3*m = -4*s - 7, -12*m + 7*m - 2*s + 29 = 0. Give l(m).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -59.4 - -58.8. Which is the closest to 0? (a) -8 (b) w (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*g = 38*g + 57. Calculate the least common multiple of 21 and g.\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -29*k**6 - 2*k**5 - 4489*k**3 - 5415655*k**2 wrt k?\nAnswer: -3480*k**3 - 120*k**2 - 26934","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -23760757 (base 9) to base 4\nAnswer: -230103112111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes before 8:38 AM?\nAnswer: 11:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 135.5 + 57.2. Let m = 64 - 246. Let o = x + m. What is o rounded to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes before 4:23 PM?\nAnswer: 10:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 6730, 27699, 62646, 111571, 174474?\n\"Answer: 6989*q**2 + 2*q - 261","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2390.52 and 0.5.\nAnswer: 1195.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((1\/5)\/(24\/60))\/2.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16931898 by -153.\nAnswer: -110666","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -322 + 10?\nAnswer: -312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -3648, 2\/13.\nAnswer: -3648, 0.1, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 4, 2*x - 5*r = -6*r - 66. Let z = x - -47. What is the third derivative of -19*s**2 - 13 + 21*s**6 + z wrt s?\nAnswer: 2520*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 41520*t**6 - 17*t**2 - 21*t + 79.\nAnswer: 4982400*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -341 + 643?\nAnswer: 302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 3*q**3 - 56880*q**2 - 1024869*q + 1081746 = 0?\nAnswer: -19, 1, 18978","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3788 - 4*g + g - 7523 + 3739.\nAnswer: -3*g + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -84*f + 82*f. Calculate the common denominator of 1127\/(-35) + -1 - 8\/f and -47\/75.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -42*v**4 - 2*v**3 - 12*v**2 - 19*v - 19680789?\nAnswer: -168*v**3 - 6*v**2 - 24*v - 19","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 16367 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1\/6957 - -2318\/6957. Which is the smallest value? (a) -1.08 (b) 1\/5 (c) t (d) 0 (e) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3381)\/168 + 20 - (-2)\/16. Factor d*k**2 - 6\/7*k + 2\/7*k**3 + 4\/7.\nAnswer: 2*(k - 1)**2*(k + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n + 4. Let a be q(8). Let b = a + 5. Let u be b\/(0 - (-21)\/(-6)). Is -2 greater than or equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -358\/2387?\nAnswer: -358\/2387","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 2*u = 0. Let d be (u - 1)\/(19\/(-323)). Is 17 >= d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/18*166\/(-996)*(-108)\/39.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -87 in -2\/5, -524, -0.3, 87?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.36 + -1.26. What is the nearest to -1\/4 in v, -2, 0.3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 137675515 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 180968 is divided by 30159.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**3 + c**2 - c - 1. Let u be 1\/((-1)\/3) - -2. Let z be r(u). Factor a**2 + 1 + 0*a**3 + a - z - a**3.\nAnswer: -(a - 1)**2*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 328044516?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -21 - -23. Solve -2*v + 3*v = w for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -0.5, 0.363242.\nAnswer: -13, -0.5, 0.363242","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 633\/211*7\/(-3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -106*n - 50. Let c be y(-9). Suppose 9*m - 928 = 4*m + 2*t, 5*m + 4*t = c. Calculate the remainder when m is divided by 48.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 119 - -134. Let k = p + -254.03. Let z = k - -0.43. Round z to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 108, 21, -112, -4 in descending order.\nAnswer: 108, 21, -4, -112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 169985156 is divided by 166?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -5*r + 4 + 51, -3*a + 37 = -4*r. Suppose -19 - 1 = -5*k. What is the remainder when a is divided by k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1683203 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3153 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41515407 (base 8) to base 7.\nAnswer: 134660456","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -d - -3b?\nAnswer: 2d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 40 and 56.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 201267136073 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 774.59 or 6?\nAnswer: 774.59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 392944277 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -12*l + 78. Let g(s) = -8*s + 52. Let n(z) = 7*g(z) - 5*m(z). Let t be n(11). Suppose -t*d + 15*d + 135 = 0. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**2 + 78*p - 784. Calculate the least common multiple of 184 and i(12).\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 3*n**4\/7 + 64644*n**3\/7 + 64641*n**2\/7 = 0.\nAnswer: -21547, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 218, 219, 216, 209, 198, 183?\nAnswer: 164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 507.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -387*n**2 + 4*n - 4. Let i be c(-5). Let q = -3862 - i. Suppose -2*w + 7*w - q = -v, v + 3*w - 5845 = 0. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5307 - 5304. Let o(r) = r**2 - 2*r - 6. Determine o(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 3*z - 10 = 0. Suppose -3*x - z = 2. Let q be 6\/x*8\/(-6). Solve -2*b + 3*b + q = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 486982484*t*x - 195935932*x wrt t?\nAnswer: 486982484*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -1.0689, 2\/7, -5\/4, 2, -643, -2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, 4\/5, -0.4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 2 y when three letters picked without replacement from yyyyyyyyyyysy?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -15457.1 to the nearest one hundred.\nAnswer: -15500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**2 - 49*f + 7. Let i(x) = 3*x - 1. Let l(h) = 14*i(h) + 2*n(h). Factor l(j).\nAnswer: 2*j*(j - 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -20, -15, 2, -3 in descending order.\nAnswer: 2, 1, -3, -15, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -457690 + 264766. Let c = -410537 + 213461. Let z = c + b. Round z to the nearest 100000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 9, n: 10}. What is prob of picking 1 s and 1 n?\nAnswer: 10\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.8, -1\/3, -2\/13, 5, -0.3?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(3\/2)*n*((n**2*n)\/n)\/n)\/(n*n*n**(-1\/2))**(-1\/12) assuming n is positive.\nAnswer: n**(29\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 27*l + 22*l = 36, 270 = 3*w + 3*l. Let v(j) = 14*j - 3. Let n be v(6). Is n at least w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12060308 to the nearest integer?\nAnswer: 229","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uw when two letters picked without replacement from wuw.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l\/l**24*l)\/((l\/(l\/l**(-1\/31)*l))\/l*l))**(-29) assuming l is positive.\nAnswer: l**(17951\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 10 - 4 - 2*q**4 - 3*q - 12 - 14*q**2 + q - 1 as l*q**3 + p + n*q**4 + j*q**2 + w*q and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**2. Let z(d) be the first derivative of d**4\/12 - d + 2. Let x(t) be the first derivative of z(t). Calculate x(y(q)).\nAnswer: q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the first derivative of r**4\/4 - 2*r**3\/3 - 3*r**2\/2 + 190. Let q(t) = t - 13. Let a be q(11). What is j(a)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + 1. Let a = s + 0. Suppose -d + 36 = a*d. Solve -2*m - m = d for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8 or -25?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 15 + -33a?\nAnswer: -325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (17 - (6 + -28) - -6).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttb. What is prob of sequence ttb?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 2466 divide 69945008?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2183923043.\nAnswer: 2183923043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 - 14*g**2 - 2*g - 54. Determine t(-15).\nAnswer: 201","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1965847 and 402?\nAnswer: 11795082","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ygshgsphb. Give prob of picking 1 h and 1 g.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 40884, -4, 1?\nAnswer: 40884","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 386 = 53*d + 50*d - 232. Calculate the highest common divisor of 4500 and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2561*a**5*k + a**5 - 3*a**2*k + a*k - 2*a + 3689 wrt a.\nAnswer: 51220*a**3*k + 20*a**3 - 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (1*4\/14)\/(21*4\/5292)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-484)\/1144)\/(473\/86)?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*f = 29*f. Suppose 0 = z - f - 5, 3*l - z - 10 = 0. Suppose l*m = -0*m + 240. Does 16 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -7 - 8. Let r(s) = -651*s**3 - s**2 - 4*s - 4. Let i be r(y). Suppose 188634 = -3*a - i. Round a to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-41*k + 531*k + 42*k)*(-6 - 7*k + 6) to y*k**2 + t*k + f and give y.\nAnswer: -3724","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18 + 23. Let t be 5\/(z\/3)*-12. Is -36 >= t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 26, -0.4, -3129, 47?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5)\/10 + (-53)\/2. Suppose -12*a + 5*l = -11*a - 220, 4*a = l + 899. Let k = h + a. List the prime factors of k.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 10 - 0. Let x = 28 + f. Calculate the greatest common factor of 19 and x.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1*4\/8*6. Determine v, given that 48*v**3 - 187*v - 783*v**o - 41*v - 24 - 714*v**2 = 0.\nAnswer: -2\/5, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54 = -6*r - 60 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*n + 4*n - n**4 + (n - 5*n**2 - n)*(-n**2 + 0*n**2 - 2*n**2 - n) + 1 - 1 + n**4.\nAnswer: 15*n**4 + 5*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9641, 9652, 9663?\nAnswer: 9674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1157*x - 1122*x + 3 - 3.\nAnswer: 35*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 259 a factor of 491541?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108 = -66*t + 174*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the first derivative of 2*b**2 - 16*b - 4. Let v be m(4). Solve 3*u = -z + 11, v*z + 1 = 3*z + u for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -25*l - 405. Determine a(-16).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.810337092 + -0.2.\nAnswer: -1.010337092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**3 + 2*q**2 + 4*q - 3. Let m be f(3). Suppose 5*d = -m*d + 15. Find a such that d*a**4 + 3*a**4 + 8*a**3 + 6*a**2 + 0*a**2 - 4*a**2 = 0.\nAnswer: -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vtttvvvttvtvvt. What is prob of sequence vvvv?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 15*f + 2. Let a(i) = 4*i**2. What is n(a(q))?\nAnswer: 60*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20077754 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 437 is divided by 159.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 3 v when four letters picked without replacement from {h: 1, r: 1, v: 5, l: 1, d: 2}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4 - 629)*(3 - 12\/2). Let m(l) = d - 1899 + 3*l**2. Let a(q) = -2*q. Determine a(m(g)).\nAnswer: -6*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.055 and 16.37?\nAnswer: 16.425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 160\/60*(-1449)\/1794.\nAnswer: -28\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48 = 86*w + 2886 for w.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 2*k - 5*r, -5*k = -r - 7 - 5. What is the units digit of (k - 3)\/((-6)\/36)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**2 - 30*b + 7. Let a be n(0). Solve 0 = -3*p - l + a, -9*l = -3*p - 6*l + 15 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12 - -7. Let h(f) = -f. Let o be h(q). Suppose -o*y + 7 - 2 = -5*x, 2*y - 5*x = -4. Solve -5*m - 2*p - 10 = -2*m, -y*m + 3*p + 15 = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zfmj when four letters picked without replacement from {j: 1, o: 2, m: 5, f: 2, r: 4, z: 1}?\nAnswer: 1\/3276","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 9*p + 49. Let w be f(-5). Let o(c) = 7*c + 7*c**2 + 10*c**2 - 16*c - 18*c**2 - w. Give o(-7).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 2*y + 51 = 6*y, -2*y + 6 = 0. Does 13 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 - 9. Let t = 6973.3 + -6974. What is the closest to -2\/7 in -3\/5, -1.1, t, o?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -39*c + 71*c - 288 for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 99672745?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -6218374.5 to the nearest one hundred thousand.\nAnswer: -6200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -6*z - 3. Let m be s(-1). Suppose -5*g = -g + 3*l + 26, 7 = -m*g + 4*l. What is the nearest to -15 in g, 0.1, -2\/5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.02 (b) -110104 (c) 7 (d) 0.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2086?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11009, -21594, -31755, -41492, -50805?\nAnswer: -59694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3033804203 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(147) + (sqrt(147) - (sqrt(147) - ((-2*sqrt(147) - sqrt(147))*3)**2)) - ((-1 + sqrt(147))*2)**2 - ((sqrt(147)*-2)**2 + 4 + -2)).\nAnswer: 63*sqrt(3) + 10723","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 245*q - 126*q - 124*q - 62 = 4*h, -16*h - 3*q = 2*q + 98 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1244228.\nAnswer: 2, 53, 5869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Do 472953 and 288 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 450 and 990.\nAnswer: 4950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*v**3 + 50*v**3 - 7*v**2 - 4*v**3.\nAnswer: 48*v**3 - 7*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -61, -145, -247, -367, -505, -661?\nAnswer: -835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the second derivative of 13*h**5\/20 + h**4\/12 - h**3\/6 - 13*h**2\/2 - 4*h - 9. Find the second derivative of q(p) wrt p.\nAnswer: 78*p + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 3*x**2 - 4*x - 1. Calculate v(3).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f = -3*z + 11, 3*z - 2*f = 44 - 27 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 5, g: 5, y: 2, o: 5}. Give prob of sequence gn.\nAnswer: 25\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*z**3\/4 - 1148400*z**2 - 192924585*z\/4 - 1012842495\/2.\nAnswer: -5*(z + 21)**2*(z + 918678)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 38.354 rounded to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1448*c**4 - 1036*c**3 - 156*c**2.\nAnswer: -4*c**2*(2*c + 1)*(181*c + 39)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6\/6)\/(-1 + 0). Sort -2, 0, o, -5 in decreasing order.\nAnswer: 0, o, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (7\/14)\/((-287)\/(-56) - 5). Solve 2*i - 20 = -4*q, k*i - 19 = -q - 14 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -15 + 7510224?\nAnswer: 7510207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 13554?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11? (a) 0.05 (b) -0.2 (c) -33\/5 (d) 1 (e) 4 (f) 13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1848 by 6.\nAnswer: -308","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 38 = 42. Solve 5*t - m*u = 19, -5*t = 2*u + 3*u - 5 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100 divided by -880?\nAnswer: -5\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -94380, -188759, -283138, -377517?\n\"Answer: -94379*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -181054*g + 181160*g - 424 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11119\/9 + -1230. Find the common denominator of f and 7\/10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 2 n when four letters picked without replacement from {r: 1, n: 2, z: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69 + 13625 = 4*h. Is 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 270553413 and 208118010?\nAnswer: 2705534130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 5 (b) -12\/31 (c) 1\/1086\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 4*g - 16, 0 = g - 2*l - 7 + 3. Let t(h) = 2*h**2 - 5*h - 8. Let f be t(g). Solve 12 = -4*x + 4*v, f*x + 0*v = -4*v + 20 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 4*v - 8 + v - 2*v + 0*v. Calculate the remainder when 24 is divided by k(7).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -222 and 5953707?\nAnswer: 5953929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -3*a - 4. Let o(n) = n**2 + 14*n + 20. Let b be o(-12). What is l(b)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 6 = -a, -2*a = -4*a + 2*v + 20. Let t be (0 - (3 + 1)) + a. Let o = 8 + t. What is the greatest common factor of o and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1433 - 1428. Solve 0 = q + k*q + 6 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u - 2*l = -2, 0 = -4*l - 2698 + 2706 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 2019\nAnswer: 4\/2019","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 41 and 10.\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 2694980 to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-66 + 5110\/73)*(-1)\/4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes after 8:24 PM?\nAnswer: 3:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 574254151 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 2287.\nAnswer: -3\/2287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13348697 is divided by 725?\nAnswer: 722","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7533.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1078 is divided by 83?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the third derivative of l**4\/8 + l**3\/6 + l**2. Suppose -2*c = -5*s + 15, 4*s + c = -3*c + 12. Give n(s).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-1)\/(-1))\/11)\/((-12)\/(-72)*12\/(-8)).\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 12*k**3 - 7*k**2 + k - 7. Let n(h) = -36*h**3 + 19*h**2 - 3*h + 21. Give 11*l(b) + 4*n(b).\nAnswer: -12*b**3 - b**2 - b + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 + -1. What is the remainder when 2 + (-3 + 3)\/3 is divided by c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the second derivative of -y**7\/168 + y**6\/60 - y**4\/24 + y**3\/24 + 6*y. Solve l(n) = 0 for n.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3580727711.\nAnswer: 11, 2939, 10069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 + 0)*(-37*x + x**3 + 27*x - 4*x**3).\nAnswer: -6*x**3 - 20*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13, -80, -329, -812, -1607, -2792, -4445?\nAnswer: -6644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes after 8:15 AM?\nAnswer: 7:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f = 4*f + 30. Suppose 0 = -4*n + 406 + f. Let v = n - 60. Calculate the highest common factor of v and 176.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/13 < -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one tenth of a gram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -2*m**3 - 150*m**2 - 289*m + 262. Calculate d(-73).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 2*x + 42 = 0, 0 = 3*c + 2*x - 18 - 148. What is the remainder when 324 is divided by c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -825501, -1650791, -2476081, -3301371?\n\"Answer: -825290*f - 211","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*n**2 - 37*n**2 + 24*n**2.\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -257*p**2 + 262*p**2 - 493*p + 493*p.\nAnswer: 5*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1001031 (base 4) to base 13\nAnswer: -1b90","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 243935 by -48787.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 219 - 219.0504. Round k to 3 dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*c - 9*c**3 + 21*c**3 - 2*c**3 + 4*c**4 - 12*c**3 + 4*c**2 - 15*c**3 in the form v*c**4 + d + u*c + h*c**2 + j*c**3 and give v.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -5, 0.1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.3295 * 3\nAnswer: -0.9885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14)\/(-1))\/(((-36)\/(-8))\/((1944\/(-6))\/36)).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 119 = 2*j - k, j + 4*k = -2*j + 151. Suppose j = 5*w - 208. Calculate the remainder when w is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**3 - 4*g**2 + 5*g + 21. Determine n(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f*f**(1\/3))\/f)**(-48)*f*f**(-2\/19)*f**(-1\/5))**1 assuming f is positive.\nAnswer: f**(-6014\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:43 PM and 6:49 PM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d = 2*v - 44, -d - 151*v + 156*v = 65 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.03, -2\/5, 3\/5, -483 in decreasing order.\nAnswer: 3\/5, 0.03, -2\/5, -483","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-26 - -9) + (-8 - (-3 + 1)) + 11\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**3 + 8*a**2 - 5*a - 2. Let q(c) = c - 2. Let j be q(2). Let o be (2\/(-1))\/((-844)\/2954). Let x = o + j. What is m(x)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.6 - 3.2. Which is the nearest to 2\/3? (a) j (b) -5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 83*r - 14 - 5 - 7 + 30 - 9 in the form s + l*r and give l.\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 6, w: 8, o: 3, g: 1, m: 1}. What is prob of sequence owmg?\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0093451 rounded to 5 decimal places?\nAnswer: 0.00935","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1351816179 divided by 3?\nAnswer: 450605393","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/24? (a) 37.88 (b) 11.6 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1852 is divided by 461.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 84\/(-98) + (-2126625)\/(-21) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -4*r. Let t(k) = 4*k + 0*k + 0*k - 5*k. Give g(t(y)).\nAnswer: 4*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 135\/135 + (-22 - 2\/2). Put 2, h, -5, -2 in decreasing order.\nAnswer: 2, -2, -5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -97 + 101 - ((-2)\/(-8) - (-194)\/56)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 904*y**6 + 2*y**4 + y**3 - 1524*y**2 + 2. Let a(h) = 4*h**6 + h**4 + h**2 + 1. Let i(w) = -2*a(w) + m(w). Find the third derivative of i(o) wrt o.\nAnswer: 107520*o**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k be 18*3*(-3)\/6. Let n(i) = -i**3 - 6*i**2 + 8*i - 7. Let z be n(-7). Let s = z - k. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8008414 millennia to decades.\nAnswer: 80.08414","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 + 3)*(-2*c**4 + 0 + 0)*(-4*c + 3*c + 2*c).\nAnswer: -14*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 22055.55 centimeters?\nAnswer: 220555.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -2*c**2 - 106*c - 392. Does 3 divide j(-39)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10508081, 10508085, 10508089, 10508093, 10508097?\nAnswer: 10508101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the first derivative of 263 - 1\/2*y**2 + 0*y. Let f(v) = -v + 1. Suppose -2*q + 4*q - 2 = 0. What is q*f(n) + 4*u(n)?\nAnswer: -5*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1655996 is divided by 2865.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1568?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 17*w + 20. Let d(c) = -17*c - 21. Let r(m) = 7*d(m) + 6*v(m). Find the first derivative of r(n) wrt n.\nAnswer: -17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 42*i - 57*i + 42*i to the form c + g*i and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**3 - 7*l**2 + 5*l - 22. Let a be w(7). Suppose -2*p + 154 = o + a, -2*p + 4*o = -166. What are the prime factors of p?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*c - 7*c**2 + 820 - 7*c + 18*c**2 + 5*c - 12*c**2 in the form i*c + f*c**2 + x and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -878 times 0.435?\nAnswer: -381.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-156)\/195*10\/12. What is the second biggest value in o, -1, -67, 3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**2 - 5*b + 2. Let r be k(-5). Suppose 2*x + y - 1 = r, 5*y - 22 = -3*x. Let o be (x - 5)*(-1)\/2. Sort 5, o, -1 in descending order.\nAnswer: 5, o, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -x**2\/3 + 43633*x\/3 + 43636 = 0?\nAnswer: -3, 43636","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -74, 4, 3 in ascending order.\nAnswer: -74, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes before 5:32 AM?\nAnswer: 9:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**2 - 3*j - 2. What is the remainder when v(11) is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -136 divided by 4?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -752*a**4 - 2*a**2*p + 5668*a**2 + 5*a*p - 2167483*a wrt a.\nAnswer: -9024*a**2 - 4*p + 11336","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -t - 3. Let u be ((-18)\/(-78))\/(t\/(-4)). What is the third smallest value in 0, u, -1\/4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 74\/81522105 and 34\/945.\nAnswer: 733698945","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are -29925985 and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate h**2*r**2 + h**2*r*u + 2*h**2*r - h*r**3*u**2 - 63*h*r**3 - 4619*h*u**2 + 548*r**3 + 2*r wrt u.\nAnswer: h**2*r - 2*h*r**3*u - 9238*h*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 911231.9 tonnes in micrograms?\nAnswer: 911231900000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 69124 and 352.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*a - 26*a + 7 + 101 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14379 - 5636. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the third derivative of 2*u**5\/15 + u**3\/3 + 3*u**2. Differentiate q(p) wrt p.\nAnswer: 16*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -5*c**5 + 46*c**4 - 86*c**3 + 120*c**2 - 20*c - 11. Let y(f) = f**5 - 9*f**4 + 17*f**3 - 23*f**2 + 4*f + 2. Let g(z) = 6*d(z) + 33*y(z). Factor g(w).\nAnswer: 3*w*(w - 4)*(w - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f - 2. Let n(d) = -d**3 + 5*d**2 + 2*d + 5. Let i be n(5). Suppose y - 4*y = -i. Let p be 1 - 2 - (-5)\/y. Give h(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -8)*118\/177.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 75*w**4 + 2*w**2 - 4*w - 173. Let q(c) = 76*c**4 + 2*c**2 - 5*c - 173. Let x(z) = 5*j(z) - 4*q(z). Differentiate x(b) wrt b.\nAnswer: 284*b**3 + 4*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1130 + -1128.771. Let i = f - 1.2. Let r = -11.871 - i. Round r to 0 decimal places.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2, 433, 5\/4?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 5, u: 1, t: 3}. Give prob of picking 1 k and 3 t.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, y: 2, m: 5}. What is prob of sequence myy?\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 35\/(-5) + 7\/((-189)\/(-183))\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 49*r**5 - 1505*r**4\/3 + 1999*r**3 - 3861*r**2 + 10784*r\/3 - 1280 = 0.\nAnswer: 1, 5\/3, 16\/7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*o**3 + 48*o**2 + 234*o + 324 = 0. Calculate o.\nAnswer: -18, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3261112 - 1751558. Suppose 3*h - q = -h - 2*j, -3*h + 1132153 = 4*j. Let r = -1617391 + h. Round r to the nearest one hundred thousand.\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5582261911 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 32714*o**4 - 2*o**3 + 130*o**2 + 4*o + 289 wrt o?\nAnswer: 785136*o - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8.1 - -7. Let t = u - -0.8. What is the biggest value in 0, t, -4\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the second derivative of 519*a**5\/2 - 565*a**4\/2 - 4579*a. What is the third derivative of n(y) wrt y?\nAnswer: 31140","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 + 2249585.\nAnswer: 2249584.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 3356*n**2 + 3. Let v(s) = s. Calculate m(v(u)).\nAnswer: 3356*u**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 52 and 3796?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*a**3 - 125*a - 2*a**3 + 5*a**3.\nAnswer: 6*a**3 - 125*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1412, -4052, -6702, -9368, -12056?\nAnswer: -14772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*a - 36*a + 8960 = 174*a. Calculate the remainder when 203 is divided by a.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (333*l + 256*l - 659*l)*(-5*l + 3*l + l)*(36*l - 11*l - 121*l).\nAnswer: -6720*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*f - 22 = -4*u - 5*f, -4*f = 2*u + 14 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -25*v**3 + 1. Let g be i(-1). Let k be (-28)\/42 + g\/3. Let q be 2\/(((-16)\/(-3))\/k). Solve -5*h - 8 = -s - 3*h, -s + q*h = -13 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 539232\/43 + -12541. Let y = t - -9\/43. What is the common denominator of y and 6\/11?\nAnswer: 473","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i**4 + 90*i**3 + 88*i**2 = 0 for i.\nAnswer: -44, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j. Let q(t) be the third derivative of 5*t**4\/24 - 3*t**3\/2 - 105*t**2 + 18. What is -6*m(w) + q(w)?\nAnswer: -w - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -60 divided by 5.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (7 - -6) - (6 - 1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**2 - 5*z - 4. Let v be (0\/(-1 + 6\/2))\/2. Let o be j(v). Let s(u) = 7*u**2 - 3*u - 3. List the prime factors of s(o).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(1\/15)\/a*a**(1\/8)*a**(-20)\/a**(1\/43) assuming a is positive.\nAnswer: a**(-107491\/5160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 29.14 + -33.14. What is the closest to 2\/9 in -3, k, -8\/3?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38421 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26, -52, -80, -110, -142, -176, -212?\nAnswer: -250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -9*p + 382. Give z(42).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -43345 (base 10) to base 12.\nAnswer: -21101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*m**2 + 8*m**2 + 17*m**2 + 4*m**2.\nAnswer: 35*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 1 - 21. Let g(o) = -o**3 - 2*o**2 + 2*o + 1. Let k be g(-2). Put -1, k, u in ascending order.\nAnswer: k, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 1151*j - 149. What are the prime factors of s(4)?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -160*c**3 - 23*c**2 + 16?\nAnswer: -960","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4037316?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1012, -2\/9, 0.2, -2\/7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 29867, 59745, 89623, 119501, 149379, 179257?\n\"Answer: 29878*q - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01083000471 to 3 decimal places.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 34948 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes before 3:16 PM?\nAnswer: 1:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes after 2:29 PM?\nAnswer: 5:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1\/40 (b) 2.009 (c) 0.4 (d) -5 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 3*w**4 - 12*w**3 + 6*w**2 + 6*w + 3. Let c(r) = 2*r**4 - 11*r**3 + 5*r**2 + 6*r + 3. Let t(y) = 5*a(y) - 6*c(y). Solve t(k) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*s - 3 + 1 + 1 - s + s - s + (-s + 2*s - 3*s)*(0 + 2 - 4) + 0*s - 4*s + 3*s + s + 2*s + 2*s as t + f*s and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000204771 to 7 decimal places.\nAnswer: 0.0000205","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -656 divided by -2?\nAnswer: 328","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1041822.\nAnswer: 2, 3, 59, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3*(460\/15 - 3). Let d = u - 82. Suppose -d = -4*a + 7. Which is smaller: a or 19?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8.2*-1.381\nAnswer: 11.3242","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 1 v when three letters picked without replacement from {s: 2, v: 2}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 47 + 2*p**3 + 3*p**2 - 4*p**3 - 11*p**2 + 7*p**2 in the form g*p**3 + w*p + o*p**2 + k and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-11)\/(-55))\/((-5)\/(-125)). Solve t + p*t = 6 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-156)\/(-208)*2\/135*4.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 75852 and 40506?\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:41 PM and 4:23 PM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bwwgttttbhttttewtt. What is prob of picking 2 t and 1 w?\nAnswer: 45\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vyddvvzyddvydyvvvwdw. Give prob of sequence vyyy.\nAnswer: 7\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 618.495*-0.1\nAnswer: -61.8495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 (base 6) in base 8?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 16*t**2 - t - 3. Let c(l) = 142*l**2 - 4*l - 26. What is -6*c(h) + 52*o(h)?\nAnswer: -20*h**2 - 28*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1687.\nAnswer: 7, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2361317 and 1428?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 200938 is divided by 5282?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11701 is divided by 2907?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -7 - (-3 - (15 - 3))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 282 and 1318?\nAnswer: 185838","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**2 + 7*i - 7. Let r = -33 - -46. Let m = r + -8. Let j be a(m). Solve j = 2*h - 3 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y = 2*c - 42, 3*c - 42 + 4 = -5*y for y.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4913456, 4913531, 4913656, 4913831, 4914056?\nAnswer: 4914331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 22\/(-33) + (-2398)\/3. What is w rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 108 in 0.595, 5, -0.1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 115530549.\nAnswer: 3, 503, 76561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 18387, 18264, 18141, 18018, 17895?\n\"Answer: -123*d + 18510","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7 + 6*p + 7)*(-14*p + 19 - 23 - 37) as h + y*p + q*p**2 and give q.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (32 - 30)\/((-2)\/6)*-6*8\/96. Let r(a) = -a - 4. Let p be r(-7). Solve 5*j - p = -18, -j + x = -3*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11100110001001011 - -11?\nAnswer: -11100110001001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the second derivative of -u**7\/1260 - u**6\/180 - u**4\/12 - 2*u. Let b(r) be the third derivative of j(r). Let b(p) = 0. Calculate p.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/(-96) - 143\/(-330)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1.5 times -0.26\nAnswer: -0.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12*j**6 - 2093*j**5 - 2*j**4 - 33*j**2 + 19*j + 28.\nAnswer: 1440*j**3 - 125580*j**2 - 48*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + b**4 + 4*b**3 + 5*b - 8*b**3 - 400*b**2 + 396*b**2 as z*b**3 + y*b**2 + r*b**4 + d + n*b and give n.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13188, -5, 13, -3.\nAnswer: -13188, -5, -3, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/(r*(r*(r\/(r\/r**(1\/2))*r)\/r)\/r))**6\/((r\/(r*r**(3\/5)*r))\/(r\/(r*r*r*r**(-2\/3)\/r*r))))**(3\/44))**35 assuming r is positive.\nAnswer: r**(-287\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -4*w - 31 + 523, -270 = -2*w - 3*u. Solve 938 - 182 = w*a for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 11 - 8 + 7*t**2 + 1 - 4*t**2 - t. Let c(k) = -1. Determine 5*c(s) + w(s).\nAnswer: 3*s**2 - s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 19 = 4*c, -4*c + n = 6*n - 31 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 613308438 divided by -6\nAnswer: -102218073","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 19 = 3*n, 10*n + 3*z + 104 - 80 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes after 2:01 PM?\nAnswer: 8:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -235*q + 366. Let b(h) = 235*h - 367. Let i(m) = -3*b(m) - 4*s(m). What is the first derivative of i(k) wrt k?\nAnswer: 235","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*b - 14*b - 15*b - 28*b + 6*b - 9*b.\nAnswer: -68*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y + 1. Let x(p) = 3*p - 3. Let q(v) = 5*c(v) + 2*x(v). Let o be q(2). What is the units digit of o - 7*3\/(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(3\/3)*(-4)\/4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*m**2 + m**2 + 3*m**2 + (-10882 + 10882 - 1198*m)*(-m + 4*m - 2*m).\nAnswer: -1197*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 264 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p**3 + 2196*p**2 - 105408*p - 456960 = 0 for p.\nAnswer: -4, 56, 680","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 - -2)\/((-6)\/51). Let o = p - -37. Solve 2*d = -2*d - o for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.1 - -18.1. Let f = z - 15. Let q = 2.8 - f. What is the third biggest value in q, 4, 6?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 568 and 4?\nAnswer: 568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 934 - 1761*q - 1922 + 988.\nAnswer: -1761*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*n - 3*h - 22, 5*n - 6*h + 2 = -3*h - 6 - 6 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the third derivative of -69*p**6\/40 + 18*p**3 + 22*p**2 + 3. Differentiate v(b) wrt b.\nAnswer: -621*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 3*j + 24103, 1862 = -b - 4*j + 13919. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17931 is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 less than -0.0272906?\nAnswer: -0.0272906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -730\/7 + 2218\/21. Which is the second biggest value? (a) u (b) 1 (c) 0.03 (d) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*g**4 - 19*g**4 + 3*g**4)*(g + g - 3*g).\nAnswer: 28*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 25928.8 to the nearest one hundred.\nAnswer: 25900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12*t**3 + 188*t**4 + 1125*t**2 - 381*t**2 - 4575 - 381*t**2 - 361*t**2 - 5*t**3 wrt t.\nAnswer: 4512*t - 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) -4 (b) 3 (c) -104\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 28\/6*12\/28*2. Suppose 9*b = n*b - 0*b. Solve 4*t + 5*r - 21 = b, -2*t + 10 = -0*t + 2*r for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7919 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the second derivative of -c**6\/180 + c**3\/3 + 2*c. Let z(a) be the second derivative of k(a). Let v(u) = 0*u**2 - 2*u**2 + u**2. Determine v(z(q)).\nAnswer: -4*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 29 - 37. Let u be (-4 + 4)\/(s\/(-4)). Factor -5\/2*d**4 + u - 2*d**2 + 13\/2*d**3 - 2*d.\nAnswer: -d*(d - 2)*(d - 1)*(5*d + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:21 PM and 6:12 PM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -608*v - 5475. Calculate f(-9).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1184 times -49.3678\nAnswer: -58451.4752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*a**2\/3 - 1495*a\/3 + 36250.\nAnswer: 5*(a - 174)*(a - 125)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-62)\/(3 - 5)*2 is divided by (4\/(-8))\/((-2)\/52)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 700*m**2 + 570*m**3 - 2401*m**2 + 1701*m**2.\nAnswer: 570*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -602 bigger than -525?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18728304 and 168?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.031 + 0.069. Which is the third smallest value? (a) -4 (b) j (c) -1\/4 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, c: 3, j: 1, u: 1, e: 2}. Give prob of picking 1 u, 1 j, and 1 e.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - 4. Let t be z\/(-4)*(-12)\/(-9). Suppose 5*v - 2*v = 12. Sort v, 1, t.\nAnswer: 1, t, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -54216*q + 54221*q - a + 157, 378 = -12*q + 2*a for q.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, 36, -2.\nAnswer: -2, 1, 2, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (122*h - 15*h - 327*h)*(-h**3 - h**3 + 5*h**3) in the form y*h**2 + j + q*h**4 + x*h + g*h**3 and give q.\nAnswer: -660","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/((-10)\/45) + -4. Let l be ((-3)\/4)\/(6\/4). Is x at least as big as l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1\/5)\/h**(-20))**(5\/18) assuming h is positive.\nAnswer: h**(11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10609328.7 microseconds to days.\nAnswer: 0.00012279315625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*g - 107*g = -52*g - 520. Let r(w) be the second derivative of 2\/15*w**4 + 0 - 9*w + 0*w**2 + 1\/10*w**g - 1\/15*w**3. Factor r(v).\nAnswer: 2*v*(v + 1)*(5*v - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j + 1. Let w be k(6). Let y(u) = 6*u + 1. Let i be y(-1). Let x = w + i. Solve 0 = x*b + b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 17219423?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 178 is divided by 37?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10763 + -7446. What are the prime factors of a?\nAnswer: 31, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**2 - 46*k - 159. Determine p(-35).\nAnswer: 226","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -86 + 100. Does 6 divide -15 + h - (-53*8 + -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14471 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 3\/5 (b) -7 (c) -2\/13 (d) -5\/3 (e) -0.4 (f) -2 (g) -61\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -101 - -109 - (-6 + 12 - -87) - -16?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and -90.\nAnswer: -360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6a (base 12) to base 13.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -26, 10\/7, 3\/7, -14, 366?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -527, -2877, -6807, -12323, -19431, -28137?\n\"Answer: -q**3 - 784*q**2 + 9*q + 249","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (260\/(-33) + 8)\/(6\/9). Which is the biggest value? (a) -51 (b) j (c) 2 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the second derivative of -b**4\/12 + 5*b**3\/6 - 2*b**2 - 10*b. Determine o(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 745 + -744.99501. Round j to 3 decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*w + 2 - 5*w + 0)*(w**3 - 2 + 2) + (0*w**3 - 5*w**3 + 3*w**3)*(15 - 11*w + 27*w - 8*w) as l*w**2 + m + g*w**3 + f*w + h*w**4 and give h.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 2*z + 42 + 78 = 0, -2*z = -4. Calculate the remainder when 141 is divided by d.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y + 14820 = 7*y. What is y rounded to the nearest 100?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((72\/8736)\/((-3)\/4))\/((-4)\/(-14)).\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 7.564 times -0.5\nAnswer: -3.782","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**2 - 6*b - 1. Let p be l(-5). Let q(u) = u**2 - 2*u - 5. Let t be q(p). Suppose -t*v - 42 = -4*v. Does 9 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 16726*v**2 + 9117*v**2 + 689*v**2.\nAnswer: 26532*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 - -4. Let q = -24292791\/14 - -1735202. Calculate the common denominator of q and -1 + ((-159)\/(-4))\/c.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -204*s**3 + 420*s**2 - 147*s - 42. Let y(l) = 29*l**3 - 60*l**2 + 21*l + 6. Let r(a) = -4*q(a) - 27*y(a). Suppose r(j) = 0. What is j?\nAnswer: -2\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8*9*(-2)\/(-24). Let t be 4\/12*-4*(-27)\/c. Solve 0 = g + g + t for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 - ((17 - 5) + -4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s - 7 = 2*g, -4*g - 10 = 10 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 51441?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -36*u - 96. Calculate d(-6).\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*k - 192 = 23*k. What is the smallest common multiple of k and 72?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmtn when four letters picked without replacement from {k: 6, m: 7, n: 5, t: 1}.\nAnswer: 35\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 5*r**2. Let o(p) = 0*p + 0*p - 2*p + 6*p. What is a(o(s))?\nAnswer: 80*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 37*n + 5881. Calculate u(-116).\nAnswer: 1589","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, j: 10, d: 1, n: 1}. What is prob of picking 1 i and 1 n?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 5*j = -3025 + 17610, 5*l = 2*j + 72736. What are the prime factors of l?\nAnswer: 2, 3, 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, l: 1, c: 2, o: 1}. Give prob of sequence mmc.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 13455 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 627 a factor of 14493831?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1, 2, -10, 61, 7 in ascending order.\nAnswer: -10, 0, 1, 2, 7, 61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5.9535 + 17195.\nAnswer: 17189.0465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 - 5\/6)*-1. Let l = 3 - 34. Let m = l - -125\/4. Which is greater: t or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 8, o: 2, l: 2}. Give prob of sequence voo.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together 59269657 and 0.5.\nAnswer: 59269657.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2405115 by -5.\nAnswer: 481023","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -6*q**3 + 2*q**2 + 2*q - 1. Let w(n) = 2209*n**3 - 9*n**2 - 6*n + 411. Let x(h) = -w(h) - 3*y(h). What is the third derivative of x(z) wrt z?\nAnswer: -13146","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 2 = -0*v. Let w = 2 + v. Solve -10 = -w*r - 2*g, g - 2*g = -4*r + 1 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -105*w + 2. Let g(t) = 50*t - 2. Let p(l) = 9*g(l) + 4*x(l). Let z(r) = 10*r - 3. Give -3*p(q) + 10*z(q).\nAnswer: 10*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -22a02 + -1?\nAnswer: -22a03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1180 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: What is the value of (-8)\/(-3)*(108\/126)\/(16\/(-84))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 49*p - 1266. Calculate k(27).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 10*f**2 + 4*f - 13. Is w(3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 4435.307 centimeters?\nAnswer: 44353.07","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2635*g**4 - 25419.\nAnswer: 10540*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16323*j**3*o**3 + 29*j**3*x**2 + 63*j**2*o**2 + 2*j**2*x**2 - 690*j*o**2*x**2 + 7*o**3*x**2 wrt j.\nAnswer: -97938*o**3 + 174*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 1.21, 0, -0.1, -8\/7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -44 * -58\nAnswer: 2552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -134 at most as big as -82?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 304618587?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3588\/5 + -717. Let p(t) be the first derivative of 9 + s*t**2 - 8\/15*t**3 + 2\/5*t. Determine u, given that p(u) = 0.\nAnswer: -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(-1) - (-2 + 0). Let i be 35\/14 + (-117)\/54. Let -1\/3 - i*s + 1\/3*s**z + 1\/3*s**2 = 0. What is s?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3, u: 2, h: 4, i: 2, q: 2}. Give prob of sequence hu.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 118 (b) 1\/4 (c) 0.1 (d) -1\/16 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -5281*a**2 - 10568*a. Give j(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5c - 5?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of d**4*r**2 - 182*d**4 + 92*d**2*r**2 - 5*d*r**2 + r**2 wrt d?\nAnswer: 24*d*r**2 - 4368*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, d: 1, r: 2, u: 1, j: 2}. What is prob of sequence djuj?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 406, 815, 1248, 1717, 2234, 2811, 3460?\nAnswer: 4193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 49298030 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 2810536344?\nAnswer: 2, 3, 7, 11, 613, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (5 - 6 - -3) + -4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 122*d - 918950 = 3328968. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 + 30 + (4 - (8 + -6 + -17))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v + 4*v = -48. Suppose v = -0*u + u. Calculate the highest common factor of u and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*t - 11*t - 2*c - 22, -5*t = -4*c - 54. Let r(a) = 10*a**3 - 12*a**2 - 3*a + 9. Is r(t) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 + 11*w**2 + 33*w + 23. Let l be u(-5). Let v(o) = -6*o + 78. Determine v(l).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 - 16?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16756 + -16712. Solve -l*m - 27 = -17*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -12 (b) -61 (c) -210436\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17082401?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 15 = -z, 0*z - z + 19 = -4*u. Let y(i) = 8*i**2 + 41*i + 9. Let c be y(-5). Suppose c*k - 5*k = -10. Solve 2*g = -z*g + k for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1282 - -831. Which is greater: -450 or p?\nAnswer: -450","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17317940.\nAnswer: 2, 5, 239, 3623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 15*g**4 - 39*g**4 - 9*g - 6*g wrt g.\nAnswer: -288*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand b**3 + 2*b**3 - 4*b**3 + (-3*b + 6*b - 4*b)*(-1 + 1 - 2*b**2) - 3*b - 2*b**3 + 3*b + (4*b - 5*b - 3*b)*(-2*b**2 + 0*b**2 - b**2).\nAnswer: 11*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 182 - 130. Let t = x + -76. Let b = t + 35. Is b a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.173 + -10.527. Let f = v + 11. Let l be -1*((-23)\/(-2) + -11). What is the fourth biggest value in f, 2\/15, l, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1.44 or -1\/21206?\nAnswer: -1.44","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put together -134611408520 and 167.3.\nAnswer: -134611408352.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-77)\/220*-3*(-704)\/(-112)\nAnswer: 33\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/((5 + -4)*6 - 54\/6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1656, 2034, 2664, 3546, 4680, 6066, 7704?\n\"Answer: 126*i**2 + 1530","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.064282 + 0.2?\nAnswer: 0.264282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3599892288?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**3 - 5*d**2 - 3*d + 3. Let p be j(-5). Let k(n) = 8*n + 4*n + 1 - p*n. Let h = 1 - 0. What is k(h)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 835 + -820.7. Let q = i - 3.3. Sort 2\/13, q, -2, 3\/7 in decreasing order.\nAnswer: q, 3\/7, 2\/13, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 2*a - 11*a = 0. Suppose -6*h + 10*h + m - 1977 = a, -m = -2*h + 993. Is 9 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2865960 is divided by 66650?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 4*z - 20. Let m = 449 + -434. Calculate the least common multiple of z and m.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (-4 + 7 - -1) - 2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -2*sqrt(176))**2 - -5*(4*sqrt(44)\/sqrt(4) + sqrt(11)).\nAnswer: 41*sqrt(11) + 705","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3050 - -3048. Which is the closest to 2\/7? (a) 0.1 (b) g (c) 1\/19 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-40*u + 20*u + 29*u)*(-2*u - 4*u - 3*u).\nAnswer: -81*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -143 + 150. Suppose -r*p + 9 = -19. What is the third smallest value in 1, -1\/4, p, 0.09?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes after 12:20 AM?\nAnswer: 1:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a kilometer in meters?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*x**2 + 0 + 0 + (x + 2*x - 2*x)*(-x + 3*x - 4*x) - 5463 + 5463 - 651*x**2 - 663*x**2.\nAnswer: -1318*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.58879 to 1 dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -3*d + 34. What is the least common multiple of 6 and d?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:41 PM and 11:04 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 13404130?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5 + -2*(-3)\/6. What are the prime factors of (-4)\/r - 140\/(-12)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0043048 days to microseconds.\nAnswer: 371934720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -8, -28, -54, -86?\n\"Answer: -3*x**2 - 11*x + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12 - 11. Let u be 1*(12\/3 + b). Solve 4 = -u*w - 11 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84*r - 38*r = 920. Calculate the remainder when 75 is divided by r.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -35 by -405.\nAnswer: 7\/81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 5*q - 43 = -2*y, -3*y = 2*q - 34. Let s = y + -5. Find the third derivative of s*a**4 + 368 + 4*a**2 - 368 wrt a.\nAnswer: 168*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 515 + 1400. What is the hundreds digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(42\/5))\/(q\/q**(-38))*(q*q**(-5)\/q)\/q**(-3\/2) assuming q is positive.\nAnswer: q**(-331\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 96 = -5*v. Is v a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - 15 - 5. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28439 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1587 and 771?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.525974 rounded to 2 dps?\nAnswer: 0.53","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 61083557 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (5 - (-1 - -8))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 122120 rounded to the nearest one hundred thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 times -0.04124?\nAnswer: 0.98976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 7 + 8)*(-174*v + 174*v + 100*v**4).\nAnswer: 100*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4476*w - 573605 = -228953 for w.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8417*f**2*n*u - 3*f**2*n + 3*f**2*u - 22*f**2 - 2*f*n*u + 9*f*u - n*u - 1299*n - 3 wrt f?\nAnswer: 16834*n*u - 6*n + 6*u - 44","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.8733 + -1.0733. Let z = 2.9 - -1.1. Let k = -3 + z. What is the biggest value in 0, k, q?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**2 - 320170*o + 2881456. Give p(9).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 127*i - 148*i = -2814. What is the remainder when i is divided by 49?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(704)*-1 + -2 - (-4*(sqrt(704) + -1) + sqrt(704) + 0 + -2).\nAnswer: -4 + 64*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v + 31. Let n be l(-13). Let h(g) = -13*g. Let p(a) = -3*a. Let s(w) = n*p(w) - 4*h(w). Let x(i) = -i. Calculate x(s(o)).\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -77108277 - -138790277. Round a to the nearest 1000000.\nAnswer: 62000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and 44.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7475 and 82675?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 18042761381 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - 5*t = -15, 3*t = -3*z + 7 + 5 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -255\/7, 93, 4, 56.\nAnswer: -255\/7, 4, 56, 93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -18279 + 18307. Put p, -11, 0 in ascending order.\nAnswer: -11, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 0 - 425*f - 4 - 3100*f**2 + 4 + 2674*f**2. Let z(x) = -212*x**2 - 212*x. Let v(u) = -6*s(u) + 13*z(u). What is the second derivative of v(w) wrt w?\nAnswer: -400","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 157\/42 and -131\/20874.\nAnswer: 20874","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a litre in millilitres?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = n + 2, 3 + 3 = 4*n - 2*y. Let j be (2\/n)\/((-5)\/(-2)). What is the second biggest value in 2, 1, j?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -8*b - 2. Let x be l(-1). Solve 2*j + 16 = x*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -115*z + 21 = 3*m - 120*z, -4*m + 4*z + 20 = 0. Solve 3*c = m*g - 3, -4*g = -3*c - 6*g + 9 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 45 + 3611*h - 82 + 37 to u + b*h and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(98) - 2*-1*sqrt(98) - ((sqrt(98)*-1)**2 + 0).\nAnswer: -98 + 21*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9452559?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13*63\/(-273))\/(-2)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4309 - 3518. What is the hundreds digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 8, 28, 60, 104, 160?\n\"Answer: 6*f**2 + 2*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve b = -5*i - 53, 4*i = 2*b + 105 - 38 + 25 for b.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16623.9811 + 16623. Let m = x + -0.0189. Let r = 0.6 + 3.4. What is the third biggest value in -0.05, r, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.005 + 1.7.\nAnswer: 1.695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 - 1 - (-2 - 1). Let y = -153\/230 + 3\/46. What is the second smallest value in j, 0.1, y?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 12 = 2*g + 2*t, -4*g - 4*t = 16. Is (g - 172\/(-36)) + (-436)\/(-18) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zfz when three letters picked without replacement from zzzzzzzzzzzzzzzzfz?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2180 (base 11) to base 4\nAnswer: 230313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((49\/(-14))\/(-7))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**2 + 18*u - 20. Let w be m(17). Let n be 28\/6 - 5\/(-15). Put -5, n, w in ascending order.\nAnswer: -5, w, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 360868 is divided by 4809?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.07 in 0.4, -2\/11, 6\/5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 28 = -4*z, -7*x + 2*z - 61 + 100 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.378 - -0.45. What is m rounded to 2 decimal places?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 604*l - 2244 = 172. Sort 95, l, 1, -5 in ascending order.\nAnswer: -5, 1, l, 95","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16680990?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of 141*a**6 + a**2\/2 + 116*a + 751. What is the second derivative of c(y) wrt y?\nAnswer: 16920*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**2 + 78*g - 1265. Let p be q(24). Calculate the greatest common factor of p and 12679.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 6) to base 11\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.133 + 2.017. Let l = w - 2.24. Which is the second biggest value? (a) -0.4 (b) -0.1 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of -12 + 7 + (-1178)\/(3 + -4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 114*r**2 + 116*r**2 + 100*r**2 + 106*r**2 - 434*r**2.\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*w**2 + 228267154 + 242*w**3 - 228267154 + 1328*w wrt w?\nAnswer: 1452*w - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 8 + 10 + m**3 in the form v*m**2 + n*m**3 + q + t*m and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-140)\/14*(-910)\/325?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/373728 and 57\/256?\nAnswer: 2989824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (567\/(-18))\/(2\/(-4)). Calculate the highest common divisor of i and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 - (3 - (2 + 1)). Suppose -5 = t*d - 3. Is 0 at most d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-4*(sqrt(143) + -4*sqrt(143)))\/(1*sqrt(275) - (sqrt(11) + sqrt(1100)*-1)).\nAnswer: 24*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 6*w + 131 + 136 = 0, -3*w + 8*w + 152 = -3*g - 64 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -42130305 (base 7) to base 12\nAnswer: -1234600","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 5*m - 1 = -3*d, -2*d - 3*m + 41 = 0. Suppose -d*v + 2558 = -1732. What is the hundreds digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3454 - -3453.9. Let i(t) = t**2 + t - 1. Let l be i(2). Which is the nearest to -1? (a) -0.2 (b) l (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 21\/121 (b) -23 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -105938199, -105938200, -105938201, -105938202, -105938203?\nAnswer: -105938204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:27 AM and 8:44 AM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 125 - 2*k - 170*k**2 + 153 + 2*k.\nAnswer: -170*k**2 + 278","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 b, 1 a, and 1 t when four letters picked without replacement from {d: 3, a: 1, b: 4, k: 2, t: 8, s: 2}.\nAnswer: 32\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3221*o**2 + 0*o + 0*o + 3406*o**2.\nAnswer: 185*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 113*d + 20 = 118*d. Suppose d*c - 1711 = 285. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*r - 6*o + 13 - 39, -o = -5*r - 17 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38213*b - 12395*b - 25885*b.\nAnswer: -67*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 294917 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a - 14. Give n(-7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3329?\nAnswer: 3329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (5\/(-15)*(-1)\/10)\/(-8*(-23)\/828)\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1827.225 - 1835. Round b to 1 decimal place.\nAnswer: -7.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -26133*q**3 + 9*q**2 + 5*q + 11. Is i(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes after 3:43 PM?\nAnswer: 11:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -116 = -3*n + z + 508, -z = 2*n - 421. Solve -89*m**2 + 2*m**4 + 7*m**3 - 96*m**2 + 9*m**3 + n*m**2 = 0.\nAnswer: -6, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (40\/15)\/(2\/3). Let v(n) = -p*n + 8*n + 3*n - 3*n. Let i(z) = -z. Calculate i(v(c)).\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6629531 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-38 + 11)*26\/(-78) + -23 + -1.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the first derivative of -w**7\/3780 - w**6\/1620 + w**5\/540 + w**4\/108 - 4*w**3\/3 - 1. Let k(d) be the third derivative of t(d). Factor k(r).\nAnswer: -2*(r - 1)*(r + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -123, -904, -2995, -7044, -13699, -23608, -37419, -55780?\nAnswer: -79339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1070711?\nAnswer: 17, 62983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 153 divide (2291 - 2) + 4\/(36\/45)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 40 and 500?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 6, k: 2, y: 1, s: 2, t: 1, n: 8}. Give prob of picking 1 s and 2 n.\nAnswer: 14\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4615.4 + -5185.797. Let p = n - -567.4. Let v = -3 - p. What is v rounded to 2 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 0 - 9*d**2 - 3*d + 14*d - 1 + 2*d. Let k(v) = -5*v**2 + 6*v. Let z(y) = 13*k(y) - 6*m(y). Differentiate z(q) with respect to q.\nAnswer: -22*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4913 - -4933. What is the remainder when 15098 is divided by m?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6*148\/16)\/((-1728)\/384).\nAnswer: 37\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 45\/1144 and 37\/205920.\nAnswer: 205920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-140)\/(-2331) - -2*(-2)\/18. Let v = x - -5\/259. Let l = 5.8 + -6.9. Put v, l, 5 in decreasing order.\nAnswer: 5, v, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 189023719 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -3*(-3*(sqrt(153) - (sqrt(153) + -1 + 1))**2 - (sqrt(153) - (-2 + sqrt(153))*4 - (-5 + sqrt(153) + 1))**2).\nAnswer: -864*sqrt(17) + 7781","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -779*r - 722. What is the remainder when 1357 is divided by w(-1)?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1466a7 + -105?\nAnswer: 1465a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 3*a**3 + 2*a**3 - 1 - 2 + 6*a**2. Let v(i) = 9*i**3 + 11*i**2 - 5. Let q(y) = 5*h(y) - 3*v(y). Find the third derivative of q(s) wrt s.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -3294*n + 16462. Determine p(5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*2*(-1950)\/(-600).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 8020*z + 66 = -8026*z, -a - 11 = z for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 22\/1 - (-3 - -9). Suppose 0 = 6*o - n*o + 1440. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -237*b + 4327. Determine o(18).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 168039 is divided by 403?\nAnswer: 391","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 267, 267, 273, 291, 327, 387, 477?\n\"Answer: c**3 - 3*c**2 + 2*c + 267","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -12*s**3 - 10*s**2 - 36*s - 211. Does 19 divide d(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 m, and 1 k when three letters picked without replacement from kqmmqmmmmffk.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of s**5 + 4354*s**4 + 120*s**2 - 4463164*s.\nAnswer: 20*s**3 + 52248*s**2 + 240","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) -646\/67 (c) 408\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in twenty-five halves of a millisecond?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10*(-99)\/44*2\/(-3).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 851*a + 1034. Calculate the remainder when 1996 is divided by k(-1).\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 3*w**2 + 6*w. Let t(v) = 2*v**2 - 25*v - 15. Let n be t(13). Let j(u) = -u**2 - 3*u. Determine n*a(r) - 5*j(r).\nAnswer: -r**2 + 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 15805258 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 2 - 5)*(3 + 0 - 2)*(-23*i + 7*i + 17*i - 10) to z*i + j and give j.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 - 1a0?\nAnswer: -19e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/(-6))\/((-2)\/(-6))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 538581?\nAnswer: 3, 179527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, 1153, -1\/3, -0.46, 2\/15, -0.45?\nAnswer: -0.45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 37813 to the nearest integer?\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 34566219 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -6*n + 5. Let o(y) = y - 1. Let g = 19 + -24. Determine g*o(t) - c(t).\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m - z - 18, -4*m = -5*m + 4*z + 15. What is the lowest common multiple of 4 and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 524413820 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.1 and 152784960.2.\nAnswer: 152784960.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -334*o - 4953 = 5067. Which is the biggest value? (a) -3\/5 (b) 4 (c) 5 (d) o (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = f - 0, 0 = j + 2*f - 11. Let p be 171\/95 - (-4)\/20. Suppose 24 = 2*o - 2*y, -p*y + 16 = j*o - 16. What is the lowest common multiple of o and 5?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1854*o + 37961 = -13273 + 8185 - 42235 for o.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -71 - -2?\nAnswer: -6a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 48 = -0*v. Let s = 22 - 20. Suppose k = -2*k + s*l + 131, k - 72 = -5*l. Calculate the remainder when k is divided by v.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -59, 1496.\nAnswer: -59, -8, 1496","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 99 is divided by 74?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/132788 and 67\/746?\nAnswer: 132788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -3*x - 5. Suppose -x*c = -0*c + 252000. Round c to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 186551 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 61129 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*b + 12*b + 12*b + 126 = 0. Solve -8*n + 4*a - 22 = -b*n, -4*n + 6 = 2*a for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -142, -2, -5 in ascending order.\nAnswer: -142, -5, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 minus 1049.93?\nAnswer: -1057.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 361410 and 1749090?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 3 (b) 1 (c) -903085 (d) -0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the third derivative of l**6\/40 - 41*l**5\/30 - 17*l**4\/8 - 5*l**3\/3 - 10*l**2 + 12. What is the smallest common multiple of 2 and v(28)?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 362150 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2644 (b) 2 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 267*n - 12*n - 44*n.\nAnswer: 211*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l = 5*j - 29, -l - j = 44 - 51 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.3551 * 52740.9\nAnswer: 18728.29359","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -23 or 3346?\nAnswer: 3346","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/9416 and 41\/18.\nAnswer: 84744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/47, 21.93, -4, 8, -1 in ascending order.\nAnswer: -4, -1, -2\/47, 8, 21.93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 568980 to the nearest integer?\nAnswer: 754","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 201*p**4 - 131?\nAnswer: 804*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes after 2:56 AM?\nAnswer: 9:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**3 - 3*z**2 + 4*z - 6. What is the units digit of a(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 - 7 + 2)*(-1 + 1 + 3*a**4) - 2*a**3 + 2*a**3 + a**4 to b*a**4 + i*a**3 + d*a + z + x*a**2 and give b.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -51, -191, -423, -747?\n\"Answer: -46*k**2 - 2*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 68059 and 29?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 + 1 + (-3)\/(-1). Suppose 6 = -5*w - 2*f, -w = -p*f - 0*f - 6. Find k, given that -3*k**4 - k**2 + w*k**5 - 2*k**5 + k**5 - 3*k**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.8315 to 2 decimal places.\nAnswer: 0.83","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6d6 (base 15) to base 4.\nAnswer: -120033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 75 + 346 - 2*p**2 + 238 to m*p + g*p**2 + f and give f.\nAnswer: 659","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let i be 3 - (-32)\/(-15) - 1. Is 0 smaller than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -2415*m**2 + 3057*m - 3058. Give d(1).\nAnswer: -2416","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 26 + 7. Let k = 778 + -778. Suppose -m - 19 - 18 = -4*o, k = -4*o - 3*m + v. Calculate the greatest common factor of o and 72.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12 and 64956.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 4, n: 3, p: 4}. What is prob of picking 2 z and 2 n?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 5*c = -21, 0*c = 4*c + 4. Suppose -4*m + 176 = o*x, m - 3*x + 6 = 30. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(2\/5)\/((s**(9\/7)\/s)\/s))\/(s**(1\/2)*s\/(s*s**(-21)\/s)*s*s))**(-2\/3) assuming s is positive.\nAnswer: s**(1637\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the second derivative of o**4\/12 - o**2 + o. Let a(k) be the first derivative of p(k). Let l(t) = 3*t**2 + 3*t**2 - t**2. Determine l(a(h)).\nAnswer: 20*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5\/(-15) - (-4 - 4045\/(-15)). Let f = -258 - q. Solve -x - 13 = 4*g, -4*g + 4*x = -9*g - f for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13*28\/11466*-3)\/(4\/18).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 3*l**3 - 2*l**2 - 4. Let t(x) = 6*x**2 + 2912 + x**3 - 2913 + 7*x**2 - 14*x**2. Determine -b(i) + 4*t(i).\nAnswer: i**3 - 2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -2*z**4 - 2*z**3 + z**2 - z. Let j(o) = 23*o**4 + 22*o**3 - 401*o**2 + 11*o - 61. Let b(s) = 2*j(s) + 22*p(s). Differentiate b(u) with respect to u.\nAnswer: 8*u**3 - 1560*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of -10*b**3\/3 + 2. Let q(n) = -n. Calculate q(a(v)).\nAnswer: 10*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17488 + -16633. Calculate the least common multiple of 24 and p.\nAnswer: 6840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -5*k**3 - 4*k**2 - 2*k + 7. What is the hundreds digit of n(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - 15 - (-16 + 18 - (0 - 1)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * -17542.5.\nAnswer: 87712.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 745 - -2*6\/(-36)*15 and 70?\nAnswer: 5180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17567 is divided by 58?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -0.3, 17, 1, -2\/21 in ascending order.\nAnswer: -0.3, -2\/21, 1, 8, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 16*z - 7*z - 36 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -1\/3 (b) -2\/7 (c) -274\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z - 1. Let t(n) = -6*n - 8. Let a(b) = -10*k(b) + t(b). Let d = 37 + -32. Suppose 22 = v + d*p, 30 = 5*v + 4*p + p. Determine a(v).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32711 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the third derivative of -r**7\/14 + 3*r**5\/10 + 3*r**2. Find the third derivative of q(b) wrt b.\nAnswer: -360*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 4*u = -4971, 7398 = 2*n - 4*u - 2496. List the prime factors of n.\nAnswer: 5, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 225, -1593.\nAnswer: -1593, -1, 225","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*u**2 + 11*u**2 - 6087 - 2*u**3 + 3045 + 3042.\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6312 and 188.\nAnswer: 1186656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**3\/23 + 96*h**2\/23 - 2682*h\/23 + 2584\/23.\nAnswer: 2*(h - 19)*(h - 1)*(h + 68)\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1018 + 1018.2. Put o, 157, -5, 1\/6, -3 in descending order.\nAnswer: 157, o, 1\/6, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.6 + -1.3. Let o = 23 - 15. Let q = 13 - o. What is the biggest value in -1\/4, q, t?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 2*b = -2*r + 24, -5*r - 3*b = -20. Let s(c) = 7*c**2 - c**2 - r*c**2 - 17 + 15*c. What is the remainder when 26 is divided by s(13)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*w - 4*r = -40, -23*w - 4*r = -23*w - 208 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 3*y**2 - 1. Let d be k(1). Let w(n) = n**3 - 3*n**2 + n + 1. Let c be w(d). Let j(r) = -22*r - 1. What is the remainder when j(c) is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 120590869551 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 12*d**2 + 2048*d + 45130. Give s(-26).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 - 7.8. What is the nearest to -1 in 1\/4, -5, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that g**4\/4 + 31*g**3\/4 - g**2\/4 - 31*g\/4 = 0.\nAnswer: -31, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 895 or -7?\nAnswer: 895","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2608, 21405, 72424, 171775, 335568, 579913, 920920?\nAnswer: 1374699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8\/6 + (-2 - (-733)\/(-3)). Let g = -66 - s. List the prime factors of g.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 128608.\nAnswer: 2, 4019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 293319229?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2 and 64?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 37 + -42. Find the common denominator of (-1)\/b*(-4750)\/40 and 19\/21.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*j**3 - 49774*j**2\/7 - 2844*j\/7 = 0. What is j?\nAnswer: -711, -2\/35, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/7, 1\/5, 2\/7, -0.231?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:13 AM and 3:56 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, -10.3, 1, 13.8 in decreasing order.\nAnswer: 13.8, 1, -10.3, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the third derivative of -998*g**7\/21 + g**4\/8 + 287*g**3\/2 - 349*g**2 + 9*g. What is the second derivative of u(a) wrt a?\nAnswer: -119760*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8720238 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 107*l. Let s = -2045 - -2039. Let q(o) = 18*o. Determine s*z(k) + 34*q(k).\nAnswer: -30*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 78936890846 minus -0.2?\nAnswer: 78936890846.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-16\/9))**18\/(v*v*v**10)**(1\/6) assuming v is positive.\nAnswer: v**(-34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 758\/(-36) - 2950\/(-53100)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -2 + 0 - 5 + 2 - 4*k. Calculate the remainder when 29 is divided by m(-5).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13061 (base 9) to base 3\nAnswer: -110002001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000871 to 4 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3 + (1 - (-1 - (3 - 5))). Suppose 15 = 2*o - 5*q - 5, 2*o + q = -4. Let d = 47 + -52. Put g, 3, o, d in decreasing order.\nAnswer: 3, o, g, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the first derivative of -n - 2 - 3*n**3 + 3\/2*n**2. Let j(p) = -p. Let q(l) = 3*j(l) - o(l). Suppose q(g) = 0. What is g?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**3\/5 + 88*l**2\/5 - 287*l + 1020.\nAnswer: -(l - 68)*(l - 15)*(l - 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -371*l**2 - 327*l**2 + 763*l**2.\nAnswer: 65*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeecoieci. What is prob of picking 2 c?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.026042 rounded to four dps?\nAnswer: -0.026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 312, 321, 330, 339, 348?\nAnswer: 357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -159 (base 12) in base 5?\nAnswer: -1323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2, -7, 1, 7 in decreasing order.\nAnswer: 7, 2, 1, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -14679, -29358, -44039, -58722, -73407?\n\"Answer: -g**2 - 14676*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v - 2*v. Let g(d) be the first derivative of -d**4\/4 - d**2\/2 - 13*d - 358. Calculate g(v).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 132534 a multiple of 74?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 642?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*z**2\/2 + 596919*z + 118770764187\/2 = 0. Calculate z.\nAnswer: -198973","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in q + 3267 + 0*q + 0*q - 3267.\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -2*a**2 + 2*a + 2. Let p be g(-2). Is (-3 + p\/(-3))*9 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 84200025 divided by -5?\nAnswer: -16840005","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 65 - 62 - (-2 - -11).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0\/2 + (-6)\/(-2). Let u = 3 - r. What is the closest to -0.1 in -2\/5, u, 0.3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5083.74 rounded to the nearest 10?\nAnswer: 5080","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 1140*x + 1733*x + 10 - 573*x - 2 - 6.\nAnswer: 20*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*p**4\/5 - 8*p**3 + 18*p**2 + 8*p - 88\/5 = 0. Calculate p.\nAnswer: -22, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -80*s**2 + 3*s**3 + 80*s**2 + 3*s**3 + s**3 - 7*s**3 + (0*s**2 - s**2 + 0*s**2)*(s + 2*s - 4*s) - s**3 - s**3 - s**3 + s**3 - 2*s**3 - s**3.\nAnswer: -4*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**3 + 125*q**2 + 2717*q + 85. Give w(-97).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**2 + g + 1. Let t(y) = -y**3 + 5*y**2 + 5*y - 5. Let h be t(6). Is l(h) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -23, -39, -67, -107?\n\"Answer: -6*x**2 + 2*x - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -105392, -105393, -105396, -105401?\nAnswer: -105408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + (5 + sqrt(363) + sqrt(363) + sqrt(363)*-1 + -2 + sqrt(363)*-1 - (sqrt(363)*-3*1 + sqrt(363) + 3)))*5)**2.\nAnswer: 2200*sqrt(3) + 36400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 96400 and 5800?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 o when two letters picked without replacement from {o: 2, u: 4, k: 2, c: 1, x: 1}?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*r + 17*r + 25. Let z be (r\/4)\/((-35)\/(-12) + -3). Calculate the greatest common factor of z and 165.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-465)\/(-9)*(-9333)\/(-5185).\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(-1\/7)\/x)\/x)\/x**(1\/6))\/(x**4\/((x*((x\/(x**(-4)*x)*x)\/x)\/x)\/x)) assuming x is positive.\nAnswer: x**(-139\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 22546, 46899, 71244, 95581, 119910, 144231, 168544?\n\"Answer: -4*i**2 + 24365*i - 1815","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -73 - -72.36. Let s = i - -0.54. What is the closest to s in 3, -3, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1180525610?\nAnswer: 2, 5, 11, 139, 7019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-1*sqrt(3645) - (sqrt(3645) - ((sqrt(3645) - (sqrt(3645) - sqrt(3645)*2 - sqrt(3645))) + sqrt(3645)))*-5)\/(-6*(sqrt(576) + sqrt(576)*1*-2)).\nAnswer: -15*sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1888076 is divided by 145236.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 148775 and 46526?\nAnswer: 541","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and 219419.\nAnswer: -658257","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 3*o**2. Let p(a) be the third derivative of 9 + 0*a + 2\/3*a**4 + 2*a**2 + 0*a**3. Calculate w(p(r)).\nAnswer: 768*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/441210 and -111\/56.\nAnswer: 1764840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(130) + 4*sqrt(130)*2))\/((5*sqrt(300)\/sqrt(5))\/sqrt(6)).\nAnswer: -27*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1271220 + 1?\nAnswer: -127121e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, g: 1, d: 1, q: 1, n: 1}. What is prob of picking 1 g, 1 q, 1 w, and 1 d?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-66)\/21)\/(122\/427)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3709 + 94248 = 2447*v for v.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -271 + 556 = 18*k + 159 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 3*r**2 + 6*r - 7. What are the prime factors of s(-5)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52020 greater than 3485413\/67?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10738 = -55*i + 11398. Let v = 5 - -12. What is the least common multiple of v and i?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*t + 3*t**2 - t**2 - 6*t)*(t**2 + 0 + 0) + 3*t**4 - 3*t**4 - t**4 + (-2*t**3 + t**3 - t**3)*(0*t - 5*t + 4*t).\nAnswer: 3*t**4 + 4*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 54.234 (b) 221 (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:05 AM and 11:11 AM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 942.\nAnswer: 2, 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a**3 - 5*a**3 + 3*a**3)*(1 - 2 - 10) + 3*a**3 - 4*a**3 + 3*a**3 + (3*a**2 + a**2 - a**2)*(a + 5 + 6 - 13).\nAnswer: 16*a**3 - 6*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2.751417008 - 33.665\nAnswer: -30.913582992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**2 + 6*o - 9. Let a(k) = -5*k - 2. Let h be a(-1). Let y be p(h). Solve y = -4*i + 5*v + 23, 3*v - 2 = 2*i + 5*v for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2 + sqrt(208))*2)**2 + sqrt(208) - (sqrt(208) + (sqrt(208) - 2*sqrt(208))**2 + sqrt(208) + 1))*2 + -4.\nAnswer: -136*sqrt(13) + 1274","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*i**2 - i**2 + 0*i**2 + (-2 - 2 + 2)*(5*i + 3*i**2 - 5*i))*(0*i - i + 0*i).\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -3901714, -3901722, -3901736, -3901756, -3901782, -3901814, -3901852?\n\"Answer: -3*k**2 + k - 3901712","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 181 and 79214831?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30796379.\nAnswer: 23, 937, 1429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 4 times 0.32\nAnswer: 1.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-20500)\/(-80) - 10\/8. Let o(h) = 248*h + 2 - 2 - v*h. Suppose 3*c - 2 = 4. What is o(c)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 137648 divided by -34412?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(6 + (-13)\/2 + 15 - 8)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - 10 = -m, -m - 10 = 1111*f - 1115*f + 5 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8062773?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16 and 12.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (8 - 3)*-5 + 6023\/241\nAnswer: -2\/241","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 333?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8\/(-20)*(2 + -1 + 9). Let y be z + 1\/(1\/8). Solve -8 = -y*p - 3*v, 0*v - 4*v = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1064459160?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the third derivative of h**5\/10 - 2*h**2. Let v(i) be the third derivative of -i**4\/12 + 1251*i**2. What is l(v(s))?\nAnswer: 24*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes after 9:51 AM?\nAnswer: 8:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 65877064549 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12 and 234372.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 20*f**3 - 6*f. Let k(z) = 7*z**3 - 2*z. Let m(h) = -17*k(h) + 6*n(h). Let y = -2964 + 2977. What is the remainder when y is divided by m(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/6 + 21\/(-9).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -105131 + 1502?\nAnswer: -103225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0015226 to 4 dps.\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.8 and -38800.03?\nAnswer: -31040.024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 83927, 84049, 84171?\nAnswer: 84293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(-2)*18\/(-3). Suppose -v = -0*v + 2*h + 1, -4*v = i*h - 6. Sort 0, v, 4 in decreasing order.\nAnswer: 4, v, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -55470.698 rounded to the nearest 1000?\nAnswer: -55000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*i - 28*i - 925 = 0. List the prime factors of i.\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 51 + -21. Let v be (k\/9)\/(-5)*1. Let l = -5 + 5. Is l > v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 2 (b) 1 (c) -0.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -18*x + 19. Give u(9).\nAnswer: -143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -23*v + 4. Let m(d) = d - 1. Let u(k) = -h(k) - 4*m(k). Let g(t) be the second derivative of t**4\/2 - t + 768. Determine g(u(j)).\nAnswer: 2166*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.36 - 0.26. Let k = i + -0.9. Which is the second biggest value? (a) k (b) -1\/2 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1587016149 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**2 - 4*h - 1. Let m be l(-1). Let w be 3 - (1 + 8\/m). Let z be 3 + 1\/((4\/2)\/w). Solve -z*g = 3*g - 15 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.4 - -0.1. Let d = -18 - -19.7. Let f = d - r. What is the third biggest value in -2, f, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-2 + 0 + 0)*(-9 + 6 - 17) - 4 + 5 - 3 + 0 + 1 + 1 + 0 + 2 + 0 + (-4 + 3 - 1)*(-1 - 1 + 1))*(-3*c**2 + 3*c**2 - c**2) to w*c**2 + m + l*c and give w.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2102213202 + -1?\nAnswer: 2102213201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4 and 196?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 493, 939, 1347, 1717, 2049, 2343, 2599?\nAnswer: 2817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = 20, -3*l + 87 = -4*n + 2*l. Let p be 21\/n - 3\/(-4). Solve p = -0*h - 2*h - 2 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 3*-2*(0 + sqrt(1573)) + -4)**2.\nAnswer: 1056*sqrt(13) + 56692","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7820071 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 2*p - 985 = -3*p, -5*l - 4*p = 967. Let r be (-4)\/(13\/(l\/10)). Solve -10*f - r = -13*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*f + 0*f + 3*f.\nAnswer: -5*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*t + 2*t + 6*t + t - 5*t + 2*t + (-2*t + 3*t - 2*t)*(-1 + 0 - 1) - t - t + t as n + u*t and give u.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9*(-26)\/(-5967))\/(2\/6).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1170593317 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 54617 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 201*q - 78 + 3*q**3 + 11 + 9*q**2 - 193*q + 5*q**2 - 2*q**3. Calculate p(-13).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 2*x**2. Let u = 213 + -1703\/8. Let f(b) be the third derivative of 0*b + 0 - u*b**4 + 0*b**3 + 4*b**2. Give h(f(n)).\nAnswer: 18*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 311 + -284. Differentiate s*o**2 - 480*o - 45 + 237*o + 245*o wrt o.\nAnswer: 54*o + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 26.001 - 10.301. Which is the biggest value? (a) p (b) -0.5 (c) -1\/4 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -29 + 18. Let v = 0.9 + 6.1. Let z = v + a. Put 5, z, 1 in ascending order.\nAnswer: z, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/21 - (-116)\/14. Let s(k) = k**3 - 7*k**2 - 7*k - 12. Let g be s(p). Which is the smallest value? (a) 1\/2 (b) -3 (c) g (d) -0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 960 is divided by 156?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ofkokroro. What is prob of sequence koko?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = -9*w + 153. Let c(j) = 32 - w - 9*j - 35. List the prime factors of c(-9).\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(1\/15))**(3\/5))**(-6\/5))**48 assuming s is positive.\nAnswer: s**(-288\/125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 316103069 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8.61 - -10.38. Round x to two dps.\nAnswer: 1.77","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hqhqhhqdqqhqqqqhhqhq. What is prob of picking 1 q and 1 h?\nAnswer: 44\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*v**3 + 0*v**3 - 3*v**3 + (-2 + 2 - v**3)*(-1 + 3 - 3) - 8*v**3 + 9*v**3 + 12*v**3 + 2 - v**3 - 2 - 4*v - 5*v**3 + 4*v.\nAnswer: 7*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 47227744 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: Simplify 3*(6*(-5 + sqrt(343) + -2) + 5 + 0)**2*1.\nAnswer: -9324*sqrt(7) + 41151","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 1321 = v + v, -4*i - 4*v = -1728. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4093528?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -25.4 + 41. Let b = 2.1 - -3.1. Let u = b - c. Round u to the nearest integer.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8707212?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.5 and 57.542.\nAnswer: 86.313","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114)\/sqrt(6))**2 + 1 + (sqrt(190) + sqrt(190)*1)\/sqrt(10) + 4.\nAnswer: 2*sqrt(19) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**2 - 13*j + 16. Let x be q(-14). Let r(v) = 0*v - 2*v**3 - 11*v**3 - 2*v**3 - 2*v - 1 - 2*v**x. List the prime factors of r(-1).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:56 PM and 11:20 PM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = y + 17, 4*d + 8 = -y + 23. Is 2\/617 at least as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**2 + k + 2. Let i(o) = -6*o**2 - 5*o - 9. Let j(a) = 2*i(a) + 9*u(a). Give j(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 0.4, 4, -130, 3, 8, -0.6, -26?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -258? (a) -1\/8 (b) 1\/2 (c) 2 (d) -3 (e) 23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-17))**(-49)\/(k**(-5)\/(k\/(k\/k**(-25\/4)))) assuming k is positive.\nAnswer: k**(3327\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 719?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13378897 to the nearest integer?\nAnswer: 3658","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(612) - (3 + sqrt(612) + 4 - sqrt(612))))**2.\nAnswer: -120*sqrt(17) + 712","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8112661721 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 28136960?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -170977 - 41274*z**2 + 170977.\nAnswer: -41274*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -58355 (base 10) in base 16?\nAnswer: -e3f3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 15 = -3*o - 0, 2*o + d = 3 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3 or 6830\/2219?\nAnswer: 6830\/2219","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/3 of a minute in seconds?\nAnswer: 140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -509, -720, -971, -1262?\nAnswer: -1593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d + d + 8. Let h(f) = -2*f**3 - 3*f**2 - f. Let q be h(d). Suppose -q*r - 9 = -9*r. Solve -20 = -r*c - 2*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 - 5\/2. Let v = -661 - -665. Which is the smallest value? (a) v (b) 5 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.9 + 0.88. Let o = 119.9 + -112. Let c = 11.9 - o. Are c and m unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17 - 15. Suppose 3*n - 6 = 0, -4*n + 1 - 287 = -u*x. List the prime factors of x.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 267 = 3*i, 0 = -0*i - 4*i + 4. Let a be c\/(-27)*(-24)\/(-10). Let o = -9 - a. Sort o, 4, -4 in descending order.\nAnswer: 4, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: -54 + (3 - ((2 - -1) + -1)) + -270 + 276\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 + 27*t**2 - 2*t + 57. Let f be x(27). Suppose 6*p = 3*p - f. Let j(i) = i**2 + 6*i - 14. Let h be j(-8). Sort -4, p, 3, h in descending order.\nAnswer: 3, h, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 39\/33392 and 87\/48092.\nAnswer: 401472016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.639678 decades to months.\nAnswer: 916.76136","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + 4*m - 5. Suppose 0 = -2*k + m - 1. Solve n - 3*i + 2 = 0, 2*n - n - i = -k for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -225 divided by -45.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5123907619 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/48 and 71\/120.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (3 - -85) + 2 + -1?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-36)\/(-9360)*-26*525\/(-2))\/((-1)\/1).\nAnswer: -105\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*l**3*n**2 - 28*l**3 + 10*l**2 + l + 206163*n**2 + 150 with respect to n.\nAnswer: -4*l**3*n + 412326*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o + 7. Let s be w(-4). Let m = s - 0. Suppose -i - 2*i = -63. Solve 0 = c + 5*z - 13, -m*z + i = 5*c - 0*z for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u*u**(1\/2))\/u)\/(u*(u*u\/((u**2\/u)\/u))\/u))\/(u\/(u*(u**(-2\/3)*u)\/u*u))**(12\/17))\/((u**2)**(-48))**(2\/11) assuming u is positive.\nAnswer: u**(6055\/374)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 176492?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**3 - b**2 + 8*b - 18. Let t be f(5). Let q = t - 124. What is the third biggest value in 3, q, 0?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 33 - (-2)\/(-6)*3. List the prime factors of 5*(w\/10)\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/7225244 and -103\/1368?\nAnswer: 130054392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide 379812?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6*3\/(-32))\/((-18)\/12*1).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 - 16?\nAnswer: -1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 75*p - 18. Let a(n) = -38*n + 8. Calculate -7*a(r) - 3*z(r).\nAnswer: 41*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 29 = d, -2*q - 5*d - 16 = q for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 183 and 24217?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-4))\/((-2)\/1*90\/1140)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, t: 3, z: 1, j: 3, l: 1}. Give prob of sequence zl.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 (base 16) in base 14?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x**5 + 309*x**4\/4 + 1065*x**3\/4 + 507*x**2\/2 - 36*x = 0. Calculate x.\nAnswer: -8, -3, -2, 0, 1\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 648000 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 3)*(-4*m - m + 3*m) - 35 + 35 - 8*m + 17*m - 33*m + 18*m + 31.\nAnswer: -10*m + 31","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100011010001111010111001 + -11?\nAnswer: 100011010001111010110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 21519466811 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 15 + 11\/44 + 17\/(-4). Let o(h) = -2*h + 58 - 11*h + d*h. Let i(l) = 2*l**2. Calculate i(o(s)).\nAnswer: 8*s**2 - 464*s + 6728","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n**4 + 3*n**4 + n**4)*((0*n - 3*n - n)*(-4 + 6 + 3) + (-2 - n + 2)*(2 - 3 + 0) + 0 + 2*n + 0 + 1 + 2*n - 1).\nAnswer: -15*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(3\/7))\/i**(-4\/5))\/(i*((i\/i**(-2\/9))\/i)\/i)**(-23) assuming i is positive.\nAnswer: i**(2312\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(1\/8))**(-1\/9) assuming s is positive.\nAnswer: s**(-1\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 25 - 9. Let u = s - 15. Solve 3*p = u + 2 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 + 7)*(-2)\/(-2). Let k be ((-8)\/(-10))\/(m\/20). What is the tens digit of ((-1)\/k)\/(3\/(-78))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.653 times 38723?\nAnswer: 25286.119","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 54 divided by 2\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 37*z + 6. Let w(m) = 63*m + 12. Let n(c) = 7*r(c) - 4*w(c). Let u(x) = -7*x + 5. Calculate 4*n(t) + 5*u(t).\nAnswer: -7*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 0*g + 20 = 5*o, 3*g = o + 10 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vuvvqvvqwwvbw. What is prob of sequence qwqb?\nAnswer: 1\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*f - 40 = 35*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*(a*a**(-1))\/a)**25\/(a**(-3)*a\/a**(-8)) assuming a is positive.\nAnswer: a**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fb when two letters picked without replacement from fvtvtfftvffffvftfbft.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*m**2 - 12 + 5*m**2 - 2*m + 12.\nAnswer: 10*m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 1 z when three letters picked without replacement from {h: 9, k: 2, z: 6}.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1213628, 2427254, 3640880?\n\"Answer: 1213626*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -509090, -509093, -509094, -509093?\n\"Answer: i**2 - 6*i - 509085","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaqqaq. What is prob of picking 2 a and 2 q?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the third derivative of 4*h**3 - 100*h**2 + 0 + 7\/120*h**6 + h + 0*h**5 + 0*h**4. Differentiate p(z) with respect to z.\nAnswer: 21*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 634.4241 kilometers?\nAnswer: 634424.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 158*d - 2168 = -746 for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*v + 0*v - v)*(0 + 2 + 0) + v + v - 4*v + 3*v + 0*v - 4*v)*(-2 + 3 + 1).\nAnswer: -10*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 5 * -59.3\nAnswer: -296.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 10) to base 4.\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 117 + -69. Let c(o) = 4*o**3 - 17*o**2 + 8*o - 18. Let t be c(4). Sort -1, y, t.\nAnswer: t, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 563 - 549. What is the greatest common divisor of 4 and v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5220 and 9900.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49 = 3*t + 5*i, 30*t - 112*t - 2*i + 681 = 3*i for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 6*k + 9. Let p(y) = -7*y - 10. Let q(v) = 5*j(v) + 4*p(v). Let h be q(-7). Let i = h + 17. Is 3 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + a + 36 = 0. Suppose -a = -p - 0. Calculate the highest common factor of 12 and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5609999 and 3274?\nAnswer: 1637","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 182*b**2 + 39*b + 102. Is z(-13) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(3\/5)*h*h*h**(2\/9)\/h*h*h**13*(h*h**(-14))\/h assuming h is positive.\nAnswer: h**(82\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 33.09705 hours in weeks?\nAnswer: 0.19700625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 9*v + 238. Determine a(-27).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7301524?\nAnswer: 2, 1825381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -116 = -0*g - 3*g + 5*t, 3*g - 88 = -2*t. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 559\/42 - 27\/2. Let j = 9261 + -9262. What is the nearest to j in q, -4, 4\/9?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (8\/(-28))\/(1\/(-49)). Suppose o*n + 141 = 17*n. List the prime factors of n.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 25 - 35. Let l = u + 7. Sort l, 3, -5 in decreasing order.\nAnswer: 3, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2 - 6\/(-4)) + 0)*(-57 - -47)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 325010140?\nAnswer: 2, 5, 7, 13, 97, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3597045*-41.\nAnswer: 147478845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2273, -2704, -3423, -4430, -5725, -7308?\n\"Answer: -144*q**2 + q - 2130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 + 391\/(-115))\/((-32)\/80).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + l**2 + 1)*(0 + 4 - 1)*(21*l - 685 + 685) - 6*l**3 + 16*l**3 - 4*l**3.\nAnswer: 69*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 - -2.05. Let u = 0.02 - 3.02. What is the nearest to 1\/3 in n, u, -0.3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1413 (base 5) to base 12\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 s when two letters picked without replacement from peespsesssfssfqsfs.\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24*c - 20*c + 20*c)*(2 - 3 - 1)*(68*c**2 + 18*c**2 - 37*c**2).\nAnswer: 2352*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*d**3 + 55740*d**2 - 45*d - 501660.\nAnswer: 5*(d - 3)*(d + 3)*(d + 11148)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02816 to 2 dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*u = 243*u + 629 + 205 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 21071 - 1592660.569.\nAnswer: -1571589.569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1893.75 minus 2?\nAnswer: 1891.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 106 + (-18 - (-3 + 46 + -37)).\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 300, 644, 966, 1254, 1496, 1680, 1794, 1826?\nAnswer: 1764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15799*l**4 - 4892*l**2 + 364997*l + 335?\nAnswer: -189588*l**2 - 9784","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 9882*n - 346. Is 16 a factor of w(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 407 - 408. What is the common denominator of (-6)\/(-36)*(858\/(-21) - s) and 85\/12?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(128) + sqrt(128)*1 + sqrt(128) + -3 + sqrt(128) + 5)*2)**2 + 4)*3 + 0.\nAnswer: 1536*sqrt(2) + 24636","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/1532 and 107\/76017840?\nAnswer: 76017840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 5, v: 3, d: 7, s: 1}. What is prob of sequence dd?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1178?\nAnswer: 2, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(3 + (-2 - 3)). Let d(f) = f**3 + 6*f**2 + f + 4. Let q be d(-6). Let y = q - 20. Is y at least r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -103860 divided by 60\nAnswer: -1731","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 711499470?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -782 at least as big as -3133\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.01 and 233.\nAnswer: -2.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/10446 and -11\/114.\nAnswer: 198474","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-121)\/198)\/((-44)\/12)*372\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -14*o**2 - 4*o + 1. Let f be z(1). Put 8, -4, f in decreasing order.\nAnswer: 8, -4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 3*r**3 - 63*r**2 + 54*r + 101. Calculate i(20).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 9*x**3 - x**2 + 5*x - 7. Let a(z) = 5*z**3 - z**2 + 3*z - 4. Suppose o = -i + 2, -4*o + 3*i + 6 = -9. What is o*s(d) - 5*a(d)?\nAnswer: 2*d**3 + 2*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-10)*380\/(-38)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3, d: 2, b: 1, l: 9, c: 3, x: 1}. Give prob of sequence lxc.\nAnswer: 3\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -10945*j. Let g(m) = -3*m**2 + 147*m + 2. Calculate z(g(l)).\nAnswer: 32835*l**2 - 1608915*l - 21890","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 20107 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + 1043 = -67. What is the remainder when l is divided by 31?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 - -8. What is the greatest common factor of 24 and d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86*k - 1688 + 927 = 2058 + 1653 for k.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-26))**(-37\/3)\/((w\/w**(-9\/7))\/(w**(9\/4)\/w)) assuming w is positive.\nAnswer: w**(26849\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15\/587 - -4169\/2348. Put 2\/11, -9\/2, h, 3 in descending order.\nAnswer: 3, h, 2\/11, -9\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -19, -0.08?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 197 + -5. Let c = v + -954\/5. Is 0.06 > c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-19)\/45 - (-9 - 869\/(-99)). Which is the second smallest value? (a) k (b) 5\/3 (c) -1\/8 (d) -4\/21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.7 + 0.4. Let f = -6\/115 - 152\/1495. What is the nearest to w in -4, f, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 22*t + 1. Let z(w) = -2*w**3 - w - 1 + 3*w**2 + w + w**3. Let s be z(2). Is f(s) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 28593 and 57186.\nAnswer: 57186","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2328 and 5781588?\nAnswer: 1164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8)\/(-321)*9\/(-12). Which is smaller: q or -0.01?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(-5) - 1379\/(-70). What is the third smallest value in 2\/11, 0.4, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*869.\nAnswer: -86.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -69, 3, 5, 19.\nAnswer: -69, 3, 5, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1269389 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6119772 by 1529943.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 + (8 - (7 - 3) - 6)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/7392 and 125\/317856.\nAnswer: 317856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000158172 to six dps.\nAnswer: -0.000158","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -37.53 rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10944510?\nAnswer: 2, 3, 5, 97, 3761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4430982 and 4430982?\nAnswer: 4430982","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 70751 to the nearest integer?\nAnswer: 266","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 - 6337316?\nAnswer: -6337321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 161830 is divided by 161795.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:18 PM and 1:06 PM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35296 is divided by 17026?\nAnswer: 1244","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*f*l**3*o**2 - 42*f*l**2*o + 6*f*l*o**2 + 2*f*l*o + 370*f*l - 6*l**3*o wrt l.\nAnswer: -18*f*l*o**2 - 84*f*o - 36*l*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + -13 - (21 - 12)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 40 - 21. Let u = 14 - p. Let f = 12 - 11.6. Which is the nearest to -1? (a) -1\/4 (b) f (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/28 + (-6 - -6).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8cfb (base 16) in base 7?\nAnswer: -210136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + -2 + -2 + 7 - (-6 - -16)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1364*u**2 - 473*u**2 - 5*u**2 - 2228*u + 1148*u**2 wrt u?\nAnswer: 4068","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r - 10, 2*c - 12 = -8*r + 3*r. Suppose -t - 2*y = c, -3*y + 2*y + 40 = 5*t. Let s(d) = 3*d - t*d + 4*d - 2. What is s(2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 + 62634?\nAnswer: 62629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2355 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 113, 405, 881, 1535, 2361, 3353?\n\"Answer: -n**3 + 98*n**2 + 5*n + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + -1 + sqrt(80))*-6 + 1)**2.\nAnswer: 1104*sqrt(5) + 3409","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/11 greater than 26?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the first derivative of 14 - 1\/3*g**3 - 17\/2*g**2 + 0*g - 1\/24*g**4. Let f(o) be the second derivative of b(o). Give f(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10823 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 375706.\nAnswer: 2, 19, 9887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1, 52, -96, 4 in ascending order.\nAnswer: -96, -5, 1, 4, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -1154*k + 1120. Determine b(1).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*a - 7 + 71 = 0 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, 5, -0.1, -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11 and 1959661?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 104 - 934\/9. Let t = 20 + -19.6. What is the second biggest value in x, -0.1, t?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 797728 to the nearest integer?\nAnswer: 893","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*t + t. Suppose t = 9*v + 353 - 1811. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 + -3 + -2 + 4. Let w(q) = -37 - 3*q**2 + i*q**2 + 37. Let g(k) be the second derivative of k**4\/3 - 3*k. What is w(g(x))?\nAnswer: -48*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hrr when three letters picked without replacement from {h: 3, r: 3}?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -430 + 1156 = -68*f - 5462 for f.\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 1, 0, 6, 0.1?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = w - 4, -4*w + 8 = -t - 3*w for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.3 - -2.3. Let o(x) = x**2 - 47*x + 549. Let h be o(23). Which is the closest to 1\/4? (a) h (b) -0.1 (c) t (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**2 - 6*r + 5. Let k be v(7). Suppose 0 = 4*x - 8 - k. Let j(c) = -c**3 + 4*c**2 + 5*c + 1. Let a be j(x). Solve -4*w - 19 = a for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19063724051 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/2*0\/1. Suppose -6*i - 2*i = 0. Solve -z + i*z + 4 = m for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/3*h**2 + 0*h + 0.\nAnswer: 2*h**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2100 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/5 of a day?\nAnswer: 864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f - 64. Give z(-16).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.0504, -3, 4, 1, -2\/11 in descending order.\nAnswer: 4, 1, 0.0504, -2\/11, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 1 = -2, 8 = o - f. Solve -4*c - 3*z + 6 = 0, 0 = 6*c - 3*c + z - o for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2))**(-16)*(j\/j**(-4))\/j**(5\/6) assuming j is positive.\nAnswer: j**(217\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r = 3*d - 162 + 186, -5*d - 40 = 4*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 100936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**2 + 6*v + 2. Let c be u(6). Suppose c*r = -2*r + 12. Suppose -7*k = -r*k - 32. Calculate the greatest common divisor of k and 88.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/1368 + (-4)\/18)*(-1406)\/148?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 975697 a multiple of 199?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 244*w**3 + 42?\nAnswer: 732*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2979 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the first derivative of -14*d + 1\/2*d**2 + 116. Calculate h(7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4585028, 9170064, 13755100, 18340136, 22925172, 27510208?\nAnswer: 32095244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 201.4993ml?\nAnswer: 0.2014993","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4.6 - -4.5. What is the nearest to 11 in -3, n, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -73*z**5 + 16*z**3 + 3743*z wrt z.\nAnswer: -1460*z**3 + 96*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 12 = -4*u, 4*o + u - 18 = o. Let f(g) = 15*g - 34. Let v(s) = -61*s + 137. Let a(i) = 9*f(i) + 2*v(i). List the prime factors of a(o).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -91 + 99. Suppose -17*x = -f*x + 63. Let c(n) = -2*n**2 - 6*n - 9. Let t(z) = 3*z**2 + 9*z + 13. Let w(v) = x*c(v) - 5*t(v). Factor w(y).\nAnswer: -(y + 1)*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((sqrt(3) - sqrt(9)\/(sqrt(3)*1) - (sqrt(24)\/sqrt(32) + sqrt(3))) + (sqrt(300) + 0)*-5 + sqrt(300)))**2.\nAnswer: 20667\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-4)*(-1 + 3\/6)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a year in months?\nAnswer: 66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -3*v + 3, 5*h - 6*h + 5*v = 22. Suppose k + 12 = 4*a, -2*a - h*a + 12 = -2*k. What is the units digit of (-6)\/a*8\/(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(720) + (sqrt(720) - (-1*sqrt(720) + sqrt(720) + 1) - sqrt(720)) - sqrt(720) - (-3 + (sqrt(720) + 1 + sqrt(720) - sqrt(720))))**2 + -5).\nAnswer: -3580 + 120*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:44 PM and 10:38 AM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 17740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25 - 39 + 96 + 20 + 17 - 2*v + 136.\nAnswer: -2*v + 255","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -5*l**5 - 75*l**4 + 1255*l**3 + 6495*l**2 - 26990*l + 19320 = 0.\nAnswer: -23, -7, 1, 2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2251 - 186 - 431 = 239*y for y.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Do -0.1 and 370 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x**3 - 832*x**2 - 86528*x = 0.\nAnswer: -208, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/7, 3\/2, -44, 1, -37?\nAnswer: -37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (26\/(-20))\/13 - (-3751)\/10. Let t = 379 - m. Solve 3*j = -t*r - 1, 0 = -4*r - 0*r - 4*j + 4 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 29, 116, 261, 464?\nAnswer: 725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -6*(1 - 2)*-16. Let j be 2\/((-4)\/r*4). Solve 0*l + j = -4*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 678033 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 30*l**3 - 5*l**2 - 9*l - 15. Let n(m) = -2*m**3 - 3*m**2 - 3*m - 4. Let y be n(-2). Let g be b(y). Suppose -37*k - g = -40*k. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1308 + 2130. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -77.6 - 3.\nAnswer: -80.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 3*b**2 + 3*b - 1. Let q(d) = -19*d**2 - 13*d + 7. Calculate -2*q(v) - 13*t(v).\nAnswer: -v**2 - 13*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 - 89 = -3*c + 4*v, 0 = 5*v - 25. What are the prime factors of c?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1\/(-44))\/(((-45)\/(-40))\/3). Are o and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*w = 7*n - 28*w + 187 - 27, -4*n - 3*w = 115 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 13*f + 14389*f**2 + 64 - 101*f - 14401*f**2 = 0?\nAnswer: -8, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r + 10*r - 2381 = 5*j, -2384 = 5*j - 3*r. Let w = j + 774. What is the greatest common factor of 46 and w?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12419.024111 + -11785.0246. Let r = 634 - j. Round r to four dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-219)\/2920*5*(-12)\/21.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 7 = 4*o + 1, 2*o = -j + 4. Let f(u) be the first derivative of 1\/4*u**4 + 1 - u + u**2 - 1\/3*u**3. Determine f(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1767, 3536, 5313, 7104, 8915?\n\"Answer: l**3 - 2*l**2 + 1768*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (254\/28 + (4136\/(-154))\/47)\/(3\/(-12))\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 257416 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhyhhhhyyhyy. Give prob of picking 4 y.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.4 (b) -4\/5 (c) 1 (d) -278\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**3 - p**2 + p. Let l(c) = 9*c**3 - 6*c**2 + 6*c. What is -l(d) + 6*z(d)?\nAnswer: -15*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -313792, -627584, -941376?\n\"Answer: -313792*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2411609687?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 - 23*s**2 - 82*s + 35. Let b be m(-16). Let r = -390 - b. What is the highest common divisor of 495 and r?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2474 is divided by 363?\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 206804 less than or equal to -0.6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.9434195 millennia?\nAnswer: 943.4195","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/475 and 44\/5.\nAnswer: 475","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -8624 divided by 154?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 + (-320)\/25)*(4 + 1).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.29 + -1.69. Put 0.4, k, 1\/2, -3\/8 in decreasing order.\nAnswer: 1\/2, 0.4, -3\/8, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -5*f + 2. Let o(z) = 15*z - 6. Determine -17*l(x) - 6*o(x).\nAnswer: -5*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83*l - 127260 = -80*l. Let p be (-434518)\/6 - (-1)\/(-3). Let v = l - p. Round v to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -146.7 and 5.4?\nAnswer: -792.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -26*y - 177. Let h be l(-7). Solve s + h + 0 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 198 = -u, -w = -0*u - 5*u + 1070. Let j = 57 - 55. Suppose u + 27 = j*c. 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: What is the value of -6*(-14)\/(-84)*19\/(-19)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(152) + sqrt(152) + sqrt(152) + -1*sqrt(152) + sqrt(152))*-4 + sqrt(152))\/((sqrt(88) + sqrt(88)*2)\/sqrt(11)).\nAnswer: -11*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 29309 to the power of 1\/3, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 + -9. Let j = -23\/120 + 1\/15. What is the biggest value in 0.4, a, j?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -5, -62, -175, -344, -569, -850?\n\"Answer: -28*o**2 + 27*o - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 90389*f**4 + 439*f**2 - 585970058*f?\nAnswer: 1084668*f**2 + 878","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1423004 - 1035085 = 20461*x - 1699103 for x.\nAnswer: 102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -192168.08 rounded to the nearest 10000?\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7788139?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/20)\/(18*(24 + -4 + 21672\/(-1080))).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f = -18*f + 11. Suppose 0 = 22*o + 147 - 191. Let s = -1 - -1. Solve 3*n = 2*j + 14, s = o*n - 2*j - 9 - f for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(24)*-2)\/sqrt(8)*1)**2.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 73, 272, 611, 1096, 1733?\nAnswer: 2528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -98 (b) -73\/2 (c) -3\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 102 <= 104?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y + 4*b - 1388 = -12*y, -5*y = -2*b - 1770. Is y a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(3*(0 + (-4*1*sqrt(153) - (sqrt(153) + 0 + sqrt(153) + sqrt(153))*-1)))**2*5.\nAnswer: 13770","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 515665534 to the power of 1\/3, to the nearest integer?\nAnswer: 802","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -15463222996.73 from 18.\nAnswer: 15463223014.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/(-15) - 48\/(-30)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -29*q**2 + 1744*q - 592. Determine b(62).\nAnswer: -3940","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 38*g**3 - 8*g**2 - 4*g + 11. Let t(h) = h**2 + h - 3. What is -5*t(u) - x(u)?\nAnswer: -38*u**3 + 3*u**2 - u + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -52.1 * 0.1\nAnswer: -5.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 18 = 3*h. Suppose h*w - 10*w + 111 = 0. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -1\/2, -1, 42 in decreasing order.\nAnswer: 42, 0.2, -1\/2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m + 7*m = 0. Suppose 0*j + 2*j + 10 = m. Let d(n) = n**2 - n + 8. What are the prime factors of d(j)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.6 + -2.6. Let t = 68046\/5 + -13534. Let s = -75 + t. What is the smallest value in s, l, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 288403 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 35117?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 + (-2 - -110)\/(-3). Let q = -7 - j. Is q a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 58377 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -21\/20 in 1\/194, -0.2, 5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 12, -38\/5, -4, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(48)\/sqrt(3))\/sqrt(8) - sqrt(14)\/(sqrt(28)\/(sqrt(12)\/sqrt(3))).\nAnswer: -2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11375 to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) -612 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 19536 and 293920?\nAnswer: 32625120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -10101101101010000100101 (base 2) in base 6?\nAnswer: -321544245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + (12 - 2) - (-3 + 1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -699731, -1399450, -2099169, -2798888, -3498607?\n\"Answer: -699719*n - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 - 6.8. Let z = s - 3.7. Let k = 0.6 + -1. Put -0.3, k, z in decreasing order.\nAnswer: -0.3, k, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1372100*u**2 - 202089*u - 6 wrt u?\nAnswer: -2744200","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the second derivative of -g**5\/4 - g**3\/6 + 20*g. Determine x(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 - 2 - (-16 + 2 + -4). Let t(d) = d**2 - 15*d + 30. Let b be t(r). What is the greatest common factor of 8 and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-1 + (((sqrt(308) + -1*sqrt(308))\/sqrt(7))**2 - (sqrt(176) + -2)**2)).\nAnswer: -32*sqrt(11) + 362","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1894*x**3 + 2*x - 395?\nAnswer: -11364*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 142.4485914 + -148.78858861. Let g = 6.34 + p. Round g to seven decimal places.\nAnswer: 0.0000028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -4*l + 8. Give w(-2).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 6850353*-0.3\nAnswer: -2055105.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/188003239 or 1?\nAnswer: -2\/188003239","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**2 + 6*t + 18. Let l(z) = 2*z**2 + 11*z + 33. Let i(c) = -11*j(c) + 6*l(c). Let b(p) = -18*p. Determine b(i(n)).\nAnswer: -18*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61*g - 8 - 28*g - 28*g + 4 - 11 - 5*g**3.\nAnswer: -5*g**3 + 5*g - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 10772000 to the nearest 100000.\nAnswer: 10800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 - ((-14 - -3) + 1). Suppose 2 = 4*r - 5*i, 3*i = -2*i + m. Suppose -8*u = -r*u - 415. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((2*g - g - 2*g)*(-4*g**2 + 3*g**2 + 3*g**2) + 3*g**3 + 0*g**3 - 2*g**3)*(-329 - 55 + 26) as c*g**2 + x*g**3 + w + l*g and give x.\nAnswer: 358","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z + 3. Let a(k) = 2*k - 2. Let i(l) = -3*a(l) - 2*f(l). Let b(w) be the third derivative of 0 + 0*w + 170*w**2 - 7\/12*w**4 + 0*w**3. Give b(i(y)).\nAnswer: 56*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 20001202012 (base 3) in base 12?\nAnswer: 590b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, -11, 0.3, 1\/4, -190 in increasing order.\nAnswer: -190, -11, -1\/2, 1\/4, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 204 divide 37554926?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 - 9*h**2 - 2*h - 12. Let x = 38 + -47. Let c be q(x). Solve c = -2*i - 4 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -d**5\/5 - 1952*d**4\/5 - 623244*d**3\/5 + 5085814*d**2\/5 - 8294083*d\/5 + 3833466\/5 = 0.\nAnswer: -1547, -413, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(-2) - (-451)\/(-902)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0\/(7*(-2 + 1)). Solve -5*u - v - 4*v = o, -u + 5*v = -6 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 22 - 4. Let m be 96\/44 - z\/(-33). Solve -m*u = -u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -294, -570, -846, -1122, -1398?\nAnswer: -1674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -13\/3 (b) 0 (c) 2\/9 (d) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z**2 - 3*z**2 + 53*z - 49*z)*(-4 + 0 + 6)*(-4158 + 2029 + 1973).\nAnswer: 312*z**2 - 1248*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l**2 + 16613*l + 16610 = 0. Calculate l.\nAnswer: -16610\/3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 25417 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -5*o - 5431, 3207 = 2*f - 2*o - 415. Suppose -1822 = -5*b - f. Solve b = -10*h + 11*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5369.\nAnswer: 7, 13, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -2*h + 23. Let z be i(9). Put 39, z, -2 in increasing order.\nAnswer: -2, z, 39","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 68121 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17577506*n + 17577506*n + 3796 - 12*n**3.\nAnswer: -12*n**3 + 3796","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/5 (b) 5 (c) 2\/21 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes before 5:27 PM?\nAnswer: 8:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 2 m when four letters picked without replacement from memxexeeexeemxxe?\nAnswer: 3\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 33\/11 - (-1 + -131686). Suppose -c = 5*v - 658495, 2*v = v - 2*c + q. Round v to the nearest ten thousand.\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 52 = 6*h. Suppose 176 = 5*k - 3*d, -9 = -5*k + 5*d + 161. Suppose h = 5*c - k. Does 10 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -2*z. Let p(s) = 11005*s**2. What is p(b(u))?\nAnswer: 44020*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -12, -22, -28, -30, -28, -22, -12?\n\"Answer: 2*c**2 - 16*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 88a50 (base 11) in base 14?\nAnswer: 35053","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -28833187 - -1?\nAnswer: -28833186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 95\/19*36\/(-15).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1885\/(-30))\/(-13) - 55\/66. Solve 0 = -w - g*d + 19, 0 = -w - 4*w - 2*d + 23 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the second derivative of 53*f**3\/3 - f**2\/2 + 2*f. Let s be h(1). Suppose -4*u + u = -s. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11 is divided by 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1521 + 26?\nAnswer: 1547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 36 = 344. Does 34 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -36*g - 362*g + 13 + 14 - 27 to the form l + q*g and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13392 - 13296. Solve 93*i = b*i - 9 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 - (-7 + 6 + 2)) + 11\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**3 - 18*a**2 - a + 24. What is o(18)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1019*0.1132.\nAnswer: -115.3508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o = 18*y - 21*y - 34, 19 - 6 = -5*o - 45*y + 49*y for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93 = -d + 4*r + 17, 5*d - 625 = -5*r. Suppose -2*x = g - 52, 18 = -3*x + 5*g + d. Does 4 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 701 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 2*f. Let r(y) = -7337185*y - 30. Calculate r(j(b)).\nAnswer: -14674370*b - 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 20 - 4. Let a be ((-6)\/(-5))\/(f\/200). What is the units digit of (-3)\/a + (-63)\/(-15)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-988)\/(-260) + (-4)\/5)\/(-4)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0*-40\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12 and 1160772.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-2\/3))**(-7\/4)*a**(5\/4)*(a**(3\/4)*a)\/a assuming a is positive.\nAnswer: a**(17\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 913359976?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -11 - 268*s + 132*s + 134*s. Suppose -l + 151 - 160 = 0. Determine n(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w\/(w*w**14*w))\/(w\/(((w**(-23)\/w*w)\/w)\/w)))**(2\/135))**(2\/33))**(-7) assuming w is positive.\nAnswer: w**(1148\/4455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100010100000011 + 11101010111110?\nAnswer: 1111111111000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**3 - 17*o**2 - 16*o + 5. What are the prime factors of y(18)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.8 and 54.\nAnswer: -43.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11071, -10786, -10489, -10174, -9835, -9466, -9061?\nAnswer: -8614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(209) - (sqrt(209) + (sqrt(209) - (sqrt(209) + 1*sqrt(209)))*3 - sqrt(209)))\/sqrt(11).\nAnswer: 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = y - 9. Suppose 0 = -0*n - 4*n + y*g + 23, 0 = -2*n + 5*g + 29. Which is the nearest to -1\/8? (a) n (b) 1\/2 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 187894361 - 509\nAnswer: 187893852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 i when two letters picked without replacement from iirifiiiiii.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 83887 and 3725.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2524, -22442 in decreasing order.\nAnswer: 2524, -5, -22442","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3 - -3*5\/(-3). Sort 3, y, -3 in descending order.\nAnswer: 3, y, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/10 + 28\/20. Suppose -25 = 5*k - 0*k. Sort m, k, -4 in increasing order.\nAnswer: k, -4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5321616 (base 8) in base 12?\nAnswer: -584812","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -302, -603, -904, -1205, -1506?\n\"Answer: -301*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:40 PM and 3:38 AM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4618.671 millilitres in litres?\nAnswer: 4.618671","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 58865316 and 7.\nAnswer: 412057212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1679.2068 months?\nAnswer: 13.99339","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 180*j - 177*j = -30 for j.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 103598 divided by -457\nAnswer: -103598\/457","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c**(-4)*c)\/c)**(-14\/9))**20\/(((c\/(c\/(c\/((c\/((c*c**(-4))\/c)*c)\/c*c))))\/((c*c\/((c**5\/c)\/c)*c*c)\/c))\/(c**(-1\/8)\/c**8)) assuming c is positive.\nAnswer: c**(2165\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/4 - (-8)\/(-32). Suppose -2*g + z*f = -4*f - 24, 0 = 3*g + 2*f - 76. Calculate the remainder when 64 is divided by g.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -213*s**3 + 16425*s - 948720 wrt s?\nAnswer: -639*s**2 + 16425","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2555066?\nAnswer: 2, 17, 75149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -46, -12 in descending order.\nAnswer: -1, -12, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (-8 - (1 - (-1 + 8)))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2\/3, -4, 1.43, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -18105 divided by 6035?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7\/8 + 37\/24. Let j(z) be the first derivative of 0*z**5 - r*z**3 + 0*z**4 + 0*z**2 + 0*z + 3 - 2\/3*z**6. Find the third derivative of j(g) wrt g.\nAnswer: -240*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -543 + 175 - 5*k**2 + 181 + 2*k + 182. Let g(a) = 0*a**2 + 10*a**2 + 11 - 5*a + 2*a**2 - a**2. Give 4*g(r) + 9*v(r).\nAnswer: -r**2 - 2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1551.\nAnswer: 3, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 46*k + 3*k**3 + 20*k + 4*k**2 + 39*k - 74*k to m*k + x*k**2 + v*k**3 + y and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*s**3 - 733466*s**2 - 67246179910*s + 67246913378 = 0. What is s?\nAnswer: -183367, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -629 - -630. Let u = 0.026 + -4.026. What is the nearest to j in 2\/13, 3, u?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 143 - 68 - 2*o**2 - 2*o - 4*o**3 - 75 as v + p*o**2 + f*o**3 + j*o and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 37012991 and 6481?\nAnswer: 6481","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.471 + 0.071. Let o be (8\/(-12))\/((-2)\/3). Sort o, -0.1, p in ascending order.\nAnswer: p, -0.1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 8 = -o. Let c(b) = b - 4. Let x be c(2). Let a = 5 + x. Do o and a have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 5)*(104*j + 270 - 270) + 2*j - 4*j + 3*j.\nAnswer: 209*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -114*u = -88*u - 780. Suppose d + a = u, -27*a - 34 = -d - 29*a. What is the highest common divisor of 26 and d?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 192197842 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -8, 15088, 4, 3 in decreasing order.\nAnswer: 15088, 4, 3, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -80*l - 51. Let p be (-74 + 2)\/3 - 1. Is s(p) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 85 - 83. What is the second derivative of -3*s + 156*s**2 + 46*s**w + 1 - 1 + 5 wrt s?\nAnswer: 404","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -12793.0846 to the nearest one thousand.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -135fb7 (base 16) to base 2.\nAnswer: -100110101111110110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*v**2 + 2495*v - 125350 = 0. Calculate v.\nAnswer: -545, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**3 + 2*z**2 + 7*z + 9. Let h be u(-2). Which is the closest to 2? (a) -3 (b) h (c) -48\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -5*m - 6. Let h be o(-4). Let v = h + -14. Let s = 4 + v. Is 14\/5 != s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -43*s. Let h(g) be the third derivative of -g**5\/4 - g**2 + 993*g. Give h(v(z)).\nAnswer: -27735*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 242349?\nAnswer: 3, 80783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5 and 73?\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**3 + 8*f**2 + 10*f + 6. Let d be i(-7). Suppose 0 = 58*c - 61*c - 9. Let y be c\/(1 - d\/(-6)). Let s(x) = -x**3 + 3*x**2 - 2*x - 1. Determine s(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -38053 (base 13) to base 11.\nAnswer: -706a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**3 - 15*u**2 - 15*u - 10. Let f be s(-14). Suppose -10 = -2*c - 2*w, 4*c - 2*w + 6 = -f. Put 6, 1, c in increasing order.\nAnswer: c, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-354)\/8)\/(3\/(-8)). Let v = 122 - b. Solve 2*w - v*k - 2 - 8 = 0, -2*k - 7 = w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 6 + 10*a - 7 + 2. Calculate d(1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -7983, -3\/2, 178, 0.3?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6.32 < 3392\/37?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -4*u - 3*f, -3*u + 5*f - 2 = -7*u. Let a be ((u*2)\/2)\/(36\/96). Solve -a*w + 6 = -5*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -16*k**2. Determine v(-1).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.03 in -5, -4, -1, -9, 16932?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -96, -27, 0.115, 4, 0.2 in decreasing order.\nAnswer: 4, 0.2, 0.115, -27, -96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*y = 15*y - 175. Solve 0 = 5*g - y*h + 25, g + h + 21 = 6*h for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21, -209, -523, -963, -1529?\nAnswer: -2221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - (3 - (4 + -8 - -3)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**2 + 18*q + 27. Let p be x(-15). Let z = p + 22. What is the nearest to -0.04 in z, 3, -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-8)\/16)\/(2\/118) and -55\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -718 - -760. Let p(h) = h + 6. What is the least common multiple of n and p(8)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 52 = 53. Which is bigger: -1\/12 or p?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2121*x**5 - 32*x + 23?\nAnswer: 42420*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*i**2*q**2 - 13*i**2*q + 2*i**2 - 2*i*q**4 + 88*i*q**3 - q wrt q?\nAnswer: -4*i**2 - 24*i*q**2 + 528*i*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -13? (a) 1 (b) -3 (c) 0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 496 and 3162.\nAnswer: 25296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 23 - 19. Let w = b + -3.6. Let a = -75\/28 - -17\/7. What is the closest to a in -0.3, -3, w?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*z + 3*z - 5*z)*(-15 - 2 - 15)*(2*z + 2*z - 2*z).\nAnswer: -128*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2718, -1918, -644, 1104, 3326, 6022?\n\"Answer: 237*c**2 + 89*c - 3044","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 3863 = 3*p + 1465, 3*r = p - 806. Calculate the remainder when p is divided by 38.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 422?\nAnswer: 2, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.2815 - 0.2812241. Round a to 6 decimal places.\nAnswer: 0.000276","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/w**(-2\/11))\/w*w)\/w)**(-2\/47)\/(w**(-6)\/(w\/(w*w*w\/((w*w*(w*w**(-4\/5)*w)\/w*w*w*w)\/w)))) assuming w is positive.\nAnswer: w**(21177\/2585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.29 from 1.4186.\nAnswer: 1.7086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*g + 7*g**3 + 20*g - 46*g.\nAnswer: 7*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*m + 19301 = 19743. What is the remainder when 2272 is divided by m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9*j**3*w + 3*j**2*n*w + 5*j*n*w - n*w + 206*w wrt j.\nAnswer: 27*j**2*w + 6*j*n*w + 5*n*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n = -17*v, 4*v = -128253*n + 128250*n for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 17.0244922 to 3 dps.\nAnswer: 17.024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, i: 2, c: 1, w: 2, l: 1, q: 2}. What is prob of picking 1 p and 2 i?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 341 + -165. List the prime factors of w.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, v: 17}. Give prob of sequence vvv.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -2120, -4, 3, -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -5830 (b) -0.2 (c) -2\/7 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 - -2. Let u(w) = w**2 + 0*w + w + 4*w + 6 + q*w. Let v be u(-5). Solve 0 = -2*c - r + 1 - v, -c + r = 10 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dii when three letters picked without replacement from {d: 2, i: 3}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 2*v = -52. Let i be (-8)\/10*(-105)\/(-6). Is i greater than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -382*n**2 + n**3 - 429 + 217 + 90*n**2 - n + 212 as u*n + j*n**3 + q*n**2 + b and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1\/4 (b) -2 (c) -0.5 (d) 2\/39301 (e) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 39 - 217*x - 85 - 3*x**2 + 108*x + 109*x to the form a*x**2 + d + f*x and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * 0.181479.\nAnswer: -0.362958","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**3 - 10*a**2 + 11*a - 22. Let j be k(9). Let d be (12\/j - -7)\/1. Suppose 0*g + 4*g + d*w = -1020, w = -4*g - 1008. Round g to the nearest 10.\nAnswer: -250","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**3 - 6*b**2 + 9*b - 10. What are the prime factors of s(6)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -2*a - 1. Suppose 0 = 4*c + c + 15. Let w be t(c). Does 16 divide w\/1*16\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -375*b**2 + 315*b + 45. Let f(t) = 17*t**2 - 14*t - 2. Let u(p) = 45*f(p) + 2*l(p). Let h(m) = -7*m**2. What is u(h(q))?\nAnswer: 735*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(52) - sqrt(3328))*-4 + sqrt(3328) + 1 + 1.\nAnswer: 72*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 96847447 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4 - -10)*94324\/24 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.6? (a) -0.1 (b) 5 (c) 8\/151 (d) -538\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 504097?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10\/3*63\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*j**5 - 18*j**4 - 24*j**3 + 6*j**2 + 27*j + 12 = 0. Calculate j.\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 25*b - 23 = 0, 0 = -1083*j + 1087*j + 4*b + 8 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 1880003 to the nearest ten thousand.\nAnswer: 1880000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the third derivative of -7*j**4\/24 - 3*j**3\/2 + 11*j**2. Calculate the remainder when u(-10) is divided by 22.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 90\/(-20)*(-2)\/9?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2402 at most 13\/16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Are -8475 and -8456 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -w**2*x**2 - 106*w**2*x - 31*w*x**2 + 2*x wrt x?\nAnswer: -2*w**2 - 62*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 84720 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 18440 (b) -6 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 15 - -35*5\/(-25). Let s be g + -4 + -22 - -3. Which is smaller: s or 5\/3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.4661 rounded to one dp?\nAnswer: 5.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add together 276505297 and -18.035.\nAnswer: 276505278.965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -5*s + 1, -280 = -n - 5*s. Does 3 divide 2\/(-19) + 19125\/n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l - 6, 4 + 0 = -4*i - 2*l. Let h be (-3)\/(-2)*440\/33. Let u = h - i. Does 10 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes after 3:05 PM?\nAnswer: 3:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + 3*w + 2*f - 190271, 0 = 2*f + 4. Suppose 66*k - w = 23*k. Is 15 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 4 = 0, 0 = -z + 4*k - 4 + 10. Suppose -a = z*a + 4*c - 3678, -c = -2*a + 2441. Is 26 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/4 - (-1)\/(-4). Let y(t) be the first derivative of t**4\/4 + t**3 - t**2\/2 - t - 3. Let k be y(-2). Solve -k = -f*h + 5*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/4*r**5 - 3\/4*r**3 + 0 + 0*r**4 + 0*r - 1\/2*r**2.\nAnswer: r**2*(r - 2)*(r + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*v + 2 = 30*v - 5*f, 3*f = 5*v + 10 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -22*f. Let j(g) be the third derivative of g**5\/15 - 3*g**2 + 3*g. Give r(j(u)).\nAnswer: -88*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 - -7. Suppose 0 = -5*w + 2 - 7, -15 = -2*f + 5*w. Solve -f*h - x = 19 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11208684463 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 148 - 104. Let n = 110 - k. What is the tens digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1cc2c (base 14) in base 13?\nAnswer: -27740","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 37*a - 21. Let x(p) = 74*p - 42. Let t(u) = -5*f(u) + 2*x(u). Let c be t(-10). Suppose -349 - c = -4*j. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1440585 and 9795978.\nAnswer: 48979890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*m + 2941 + 0*m - 8*m + 0*m.\nAnswer: -2*m + 2941","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the third derivative of -q**7\/42 - 9*q**6\/8 - 193*q**5\/12 - 195*q**4\/8 + 845*q**3\/3 - 85*q**2. Let p(k) = 0. What is k?\nAnswer: -13, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*r - 1029 = -3509. Solve n - r = 17*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (36\/160)\/((-33)\/(-1308)). Let l = x - 101\/10. What is the common denominator of 73\/6 and l?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 83720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 59903 - 980?\nAnswer: 58923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(-13)*((s*s**(-1\/11))\/s)\/s*s)\/(s*(s**(-2\/3)\/s)\/s)**(-15))**(1\/19))**(-10\/11) assuming s is positive.\nAnswer: s**(4190\/2299)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (7 - (6 - 3)) - 13.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -961, -986, -1025, -1084, -1169, -1286, -1441, -1640?\nAnswer: -1889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 456 and 34766?\nAnswer: 7926648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 + 37 = 3*d. Let m(i) = i + 7. Suppose 12 + 6 = 3*y. What is the remainder when m(d) is divided by y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/42*(-14)\/(-12)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/3 (b) 68 (c) 6\/11 (d) -6\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a millisecond in nanoseconds?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -4*m**2 - 395*m - 758. Determine d(-97).\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 71 and 82502.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 3*p = 16. Let q be ((-5)\/3)\/(13\/39). Let m = q + 13. Solve -c = m - p for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5628735 divided by -33705.\nAnswer: -167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -587011.4027 + 660?\nAnswer: -586351.4027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 27640 - 27640. Let h = -6 + 3. Which is the nearest to o? (a) 7 (b) -1 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8 + (9 - -5898)\/11. Let y = h - 411. Let c(w) = 4*w + 3. Calculate the remainder when y is divided by c(6).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 118 and 10152.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11*h**3*o**2 + 4*h**3 - 5*h**2*o**3 - 2*h**2*o + 14*o wrt o.\nAnswer: 22*h**3 - 30*h**2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -20514 + -50?\nAnswer: -21004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 873*o + 1487*o + 24*o - 90*o + 374*o to g*o + y and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes after 2:55 AM?\nAnswer: 6:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -4*d - 4*m + 4, -5*d = -2*m - 78. Let c be d\/(-10) + (-7)\/(-7). Which is smaller: c or 1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-462)\/(-36))\/11)\/((435\/90)\/(-29))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2180 divided by 4\nAnswer: 545","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -361 + 5?\nAnswer: -355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 72*g**3 + g**2 - 89*g + 5746191?\nAnswer: 216*g**2 + 2*g - 89","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 - 3. Let f = 3 - 0. Suppose -f*a + 7 = -3*w - w, -b*a + 5 = -w. Solve -q = a, q - 6*q = p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -42? (a) 9\/5 (b) -2 (c) -5 (d) 17\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/(n\/(n\/(n**4\/n*n))*n))\/n)\/n*n*n**(-2\/3))\/(n**(2\/7))**17 assuming n is positive.\nAnswer: n**(-221\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -269 = 9*q - 206 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0003589 to five dps.\nAnswer: 0.00036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10 and 12365240?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 23 + -50?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 6 = 4*w - 2, -12 = 3*g - w. Suppose 2 = -2*v, -n - 2*v = -5*n - 22. Let z be -6750*(g\/n)\/1. What is z rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 577*q = 591*q - 40572. What is the thousands digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/5 in 1, 3, -1, -11, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*v + 331*v - 1282*v - 903 + 903.\nAnswer: -980*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1709\/1185 - 10\/237. Let d(w) be the first derivative of 0*w**2 - z*w**5 + 0*w + 13\/3*w**3 - 14 + 0*w**4. What is the third derivative of d(a) wrt a?\nAnswer: -168*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 36*z + 29*z - 89*z as w + l*z and give l.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 410*j**3 - 196*j + 611*j**3 - 1025*j**3 - 56*j**2 = 0.\nAnswer: -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8624 - 8623. What is the nearest to x in -2\/39, -3, -5?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 9 = -s, -6*s = 14*o - 19*o + 26 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000564315747 to 7 dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -o**3 + o**3 - 2*o**5 + (2 - 2 + o + 1)*(-4 - o + 4)*(-2*o + 6*o + o)*(-6*o**2 + 15*o**2 - 6*o**2).\nAnswer: -17*o**5 - 15*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 8 + (-6 - 3 - -7)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 18255.82 + -6174812\nAnswer: -6156556.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(38)\/(sqrt(2) + sqrt(50)) + 2.\nAnswer: -sqrt(19)\/6 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -341, -4, 39, -9 in ascending order.\nAnswer: -341, -9, -4, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 220517928 a multiple of 4366?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1746139.\nAnswer: 1746139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45581 is divided by 86.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and -467.\nAnswer: 1868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b = -5*b - 21. Solve -6*h + 5*n + 25 = -h, 5*h - b = n for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k\/(((k\/k**(-5\/8))\/k*k)\/k))\/(k**(-2\/73)*k)*k\/(k\/k**(-1\/26))*k*(k*k**(-13))\/k assuming k is positive.\nAnswer: k**(-88341\/7592)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes before 2:50 AM?\nAnswer: 2:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -519 + 519.1. Which is the nearest to -0.1? (a) j (b) 2 (c) 3 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 5 + (-4 - (2 + -5)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -3*n - 10. Suppose -d - n*t + 19 = -0*t, -4*d + t = -13. Suppose 2*z = 9 + 31. Solve -b - 18 = d*o, 5*b - 2*o = -0*o + z for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 19? (a) 1 (b) -3\/2 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 100 and 475.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-4)*l*l\/(l*l**5\/l)*l**(-4)*l**(-2\/21)*(l**(3\/2)\/(l**2\/l*l))\/(l**(-3)*l**(-2\/7)) assuming l is positive.\nAnswer: l**(-349\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 - 9478962231453.\nAnswer: -9478962231450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 134586*g + 134577*g - 269162*g.\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.06 + 0.04. Which is the second biggest value? (a) -1\/5 (b) 0 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/6 (b) 3 (c) 94.14 (d) 1\/12 (e) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k**5\/5 + 126*k**4 + 49068*k**3\/5 + 1683258*k**2\/5 + 21491361*k\/5 = 0 for k.\nAnswer: -69, -47, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 14 + 0)*(0*o - 2*o + 0*o) + (0 + 0 + 3*o)*(-2 + 4 - 1) - 23 - 2 - 1507*o + 1506*o.\nAnswer: -32*o - 25","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 3*m - 4*m**2 + 3*m**2 - 13*m**2 + 12*m**2. Let h = -3 - -5. What is c(h)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89\/2 of a day in minutes?\nAnswer: 64080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -251*d = -248*d - 432. Is 48 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 35, -5\/7, -16, -3, -0.1 in descending order.\nAnswer: 35, 0.2, -0.1, -5\/7, -3, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 3*a = -24, 3*w - 3*a - 13 - 8 = 0. Solve 3*s - g = w, 10*s - g = 5*s + 15 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*f - 299 = 12 - 149 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 93.7 from -4.\nAnswer: -97.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3048 and 19146774?\nAnswer: 762","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-124)\/4 + (-1)\/((-1)\/(-3)). Let r(v) = -14*v**3 - 2*v + 1. Let d be r(1). Let o = d - j. Does 7 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 238055958?\nAnswer: 2, 3, 7, 67, 163, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.1 (b) 0.4 (c) -1 (d) -0.5 (e) -1.39\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 c, and 1 y when three letters picked without replacement from {f: 3, y: 6, s: 5, c: 3}?\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -4*m + 23. Let t be v(5). Suppose b - 5*y - 25 = 0, 3*b - y = t*y + 97. Let k be (-4)\/(-10) + 21\/b. What is the greatest common divisor of 1 and k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76)*-2*-4)\/((sqrt(40)*2)\/sqrt(10)) - (sqrt(171) + 3*(sqrt(171) + sqrt(171)*1 + sqrt(171)))\/(sqrt(18)\/(-2*sqrt(2))).\nAnswer: 24*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:17 AM and 5:31 PM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 8209 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the first derivative of 2 + 0*j**2 - 1\/6*j**3 + 1\/12*j**4 - 20*j. Let v(a) be the first derivative of i(a). Calculate v(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 311*g**3 + 1584*g**2 + 10478899*g wrt g.\nAnswer: 1866*g + 3168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1059 is divided by 54?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 75, 71, 65, 57, 47, 35, 21?\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 16 - 2*x**2 + 6*x**2 - x + 17*x = 0. Calculate x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 times -10526.7\nAnswer: -31580.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3654205 less than -0.114?\nAnswer: -3654205.114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4*(11\/((-22)\/15))\/(-6). Solve p + 0*p = d for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((15\/(-25))\/(-1))\/((-6)\/(-30)). Solve -2 = -l*s + i, 1 = 2*s + 2*i - 3 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/56, 2\/9, 0.0441, 0.1, 0.5, 0.14?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**6)\/(z\/z**(-1\/4)))\/(z**(-1\/4)*z\/z**(-5))*(z**0*z**(1\/2))\/(z\/(z\/(z*z**(-1\/2))*z))**(-1\/33) assuming z is positive.\nAnswer: z**(-380\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h + 1. Let d be r(1). Suppose d*y + 4*q = 2*y - 2, 0 = -4*q + 16. List the prime factors of y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 845*c - 843*c + 2 + 4 + 4. Let o(b) = -1. Give -40*o(y) - 4*u(y).\nAnswer: -8*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 235*o**5 - 12*o**3 - 9*o**2 - 12214*o wrt o.\nAnswer: 14100*o**2 - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5\/8 - -81\/104. Let g = 1617 + -1614. Put w, -1\/3, g in ascending order.\nAnswer: -1\/3, w, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -561020, -1122020, -1683020, -2244020, -2805020, -3366020?\n\"Answer: -561000*g - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*t**2 + 40*t**3 + 0*t**4 - 37*t**3 - 2*t**4 to r*t**2 + o*t**3 + n*t + w + u*t**4 and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 70\/283 or 0?\nAnswer: 70\/283","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*u**2 + 142*u**3 + 1446*u - 673*u - 773*u + 0 + 0.\nAnswer: 142*u**3 - 2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 29070 and 10?\nAnswer: 29070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -13 + 29 - 14.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w + 3. Let q be b(0). Find the first derivative of 2*v + 6 - q + 3*v wrt v.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -13, -0.03, -3\/13, 0, -2\/15?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -0*i - i + z, i + 19 = 4*z. Let g = i - -27. Suppose -40 = -2*h + g. What is the remainder when h is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 356474.\nAnswer: 2, 137, 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 117 and 98163.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rxbxibzi. Give prob of sequence rixi.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/25 of a gram?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 53 = -0*w. Suppose 4*h + 4*z = 48, -2*z = h - 4*z. Calculate the lowest common multiple of h and w.\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - 2. Let x be (-6)\/(-18) - 1\/3. Let z = x - m. What are the prime factors of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 8) in base 13?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 271 = 2*y + 725, 4*j + 2*y - 1328 = 0. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(-2\/9)*x\/(x**(-2\/11)\/x)*((x**(1\/3)*x)\/x)**(-1))**(-1\/32))**24 assuming x is positive.\nAnswer: x**(-65\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cxx when three letters picked without replacement from ocooxcoxoococ.\nAnswer: 2\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 42417243551 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 200 + -190. Solve 0 = -2*h + 2*p + 4, p + i = -5*h + 2*p for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7777806 a multiple of 205?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12 - 1) + (-20 - -27)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 610316.9 weeks in milliseconds?\nAnswer: 369119661120000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**2 - 2*z - 36. Let p(u) = -u + 18. Let c be p(7). What are the prime factors of r(c)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 120 and 1040?\nAnswer: 3120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 - 0. Let m = -230 - -229.814. Let v = -0.586 - m. Put 0.5, v, o in increasing order.\nAnswer: o, v, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1*-3*3\/9. Let l be (z + -7)\/2 - -4. Find the first derivative of v - v + 1 + 7*v**3 + l*v wrt v.\nAnswer: 21*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 4, 107, 468, -28 in decreasing order.\nAnswer: 468, 107, 4, -2, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4\/2365545 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.3 and 15805 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/3*((-1)\/1)\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 75, 119, 163, 207?\nAnswer: 251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 7, 5, 0.4 in descending order.\nAnswer: 7, 5, 0.4, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 22282635 bigger than 22282635?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 0, 2, 14, 42, 92, 170, 282, 434?\n\"Answer: r**3 - r**2 - 2*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v + v + 3*v)*(v**2 + 4 - 4 + (-1 + 0 + 0)*(3*v**2 - 5*v**2 + v**2) - 2*v**2 + 0*v**2 + 3*v**2 - 5*v**2 + 12*v - 12*v)*(11 - 39*v - 11).\nAnswer: 234*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12 + -10. Let z = -0.1738 - -0.3738. Which is the nearest to z? (a) 0 (b) 2\/3 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -2*q**2 + 103*q + 328. What is the units digit of p(50)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 483*z**3 + 9*z**2 - 64*z + 112. List the prime factors of c(3).\nAnswer: 2, 6521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 51829, 207393, 466667, 829651, 1296345, 1866749, 2540863?\nAnswer: 3318687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1369475417 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*j + 28*j - m = 1, -4*m = 5*j + 79 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -11308.249 rounded to the nearest one thousand?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.182528153 to four dps.\nAnswer: 0.1825","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -8*q**3 - 2*q**2 + 3*q + 4. What is j(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-4 + 2)*-2 - 8) + 508. Let n = x + -299. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5078.468389 to the nearest 100.\nAnswer: 5100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -163 = -3*v + 2*r, -4*v + 0*r - 3*r + 206 = 0. What are the prime factors of v?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 196743409 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -104.793667 rounded to one decimal place?\nAnswer: -104.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -2*t**2 - 8 + 4 - 25*t**3 + 26*t**3 + 4*t. Let x be r(2). Suppose 7*w + f = x*w - 9, 0 = -f. Put 2\/7, -0.3, w, 0 in ascending order.\nAnswer: w, -0.3, 0, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 676210497 to the nearest integer?\nAnswer: 26004","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -264d (base 15) to base 2.\nAnswer: -1111111101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 1 c when three letters picked without replacement from hrchghhdghgchhtchdcr.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 253.192 millennia in years?\nAnswer: 253192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6567?\nAnswer: 3, 11, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -276 - -277. What is the nearest to 0.046 in g, -3, 3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 141936*o**2 - 3*o**3 - 2 - 141933*o**2 + 8*o - 2*o as i*o**2 + t*o + z*o**3 + c and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 - 2.8. Let i = 69.4 - 69. Which is the third smallest value? (a) j (b) i (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 113438?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -4*o. Let z be d(-1). Suppose -2*b + 5*n + z = -4*b, 4*b - 16 = 2*n. Suppose -q = -0*g + 2*g - 8, 4*q + g = -3. Put q, -3, b in descending order.\nAnswer: b, q, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 8*v**3 + 10*v**2 - 12. Let x = -4 + 41. Let k(w) = w**3 + x*w - 1 + w**2 - 37*w. Let u(f) = -3*i(f) + 30*k(f). What is the derivative of u(h) wrt h?\nAnswer: 18*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the first derivative of -127*t**4 + 7*t**3\/3 + 33*t + 681. What is the third derivative of c(h) wrt h?\nAnswer: -3048","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -8*z**2 - 5*z. Let v(g) = -g**2 - g. Give j(b) - 6*v(b).\nAnswer: -2*b**2 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -aa16 (base 11) in base 16?\nAnswer: -38c9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 bigger than -1635748?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*i + 4*p + 8, i - 2*p - 4 = 2*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 2*i - 3. Let v(g) = g + 15. Let a(f) = f + 28. Let t(y) = -4*a(y) + 7*v(y). Suppose 0 = -5*k + 52 - 2. What is k*x(r) - 4*t(r)?\nAnswer: 8*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes after 3:47 PM?\nAnswer: 2:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-1008)*-18*4\/2.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -815589.08 to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1270 + -1284. Let m(i) = 70*i**3 + i + 1. Let t be m(-1). Let g = v - t. What is the tens digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 11 + -15 + 2 + 3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -409568502*h*m*t + h*t + 7*h + 559*t + 787 wrt m?\nAnswer: -409568502*h*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -3\/82557815?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**2 - 16*h - 50. Let d be n(-8). Is d at least as big as 143?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -826*h*l**4*z - 5*h*l**2*z + 5*h*l - 17366*h*z - 101*l**6*z + 2*l - 2*z wrt l.\nAnswer: -19824*h*l*z - 12120*l**3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*s + 15 = 9*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -5*b + 2*g, b + 5*g + 15 = 3. Let o(a) = a**2 - 18*a + 29. Let x be o(15). Is 11 a factor of (x*4 - 2)\/b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the first derivative of c**4\/2 + c**3\/3 - 10. Suppose -6*p + 18 = 2*x - 2*p, 21 = 5*x - 2*p. Suppose -x = -5*o - 0*o. Determine z(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 5*r**2 - 2*r + 4. Let j(k) = -21*k**2 + 9*k - 15. What is -2*j(i) - 9*u(i)?\nAnswer: -3*i**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the first derivative of -1813*x**4\/4 - 2*x**3\/3 + 2*x**2 + 11*x + 3436. Find the third derivative of z(n) wrt n.\nAnswer: -10878","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 237716 (base 10) to base 11.\nAnswer: 152666","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-59)\/(-118)*(33\/(-42) + (-2)\/(-4)).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2246620 and 130?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 3*o - 20. Let c(f) = -f**3 + 9*f**2 + 11*f - 11. Let g be c(10). Put o, 5, g in ascending order.\nAnswer: g, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 732*z**4 - 726*z**4 + z - 31*z wrt z?\nAnswer: 72*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -17*b**3 - 2*b + 3*b - 18 + 13*b**2 + 16*b + 5*b**2. Let d(h) = 9*h**3 - 9*h**2 - 9*h + 9. Let k(r) = -11*d(r) - 6*x(r). Factor k(z).\nAnswer: 3*(z - 3)*(z - 1)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eejjjeeeejje. Give prob of sequence jjj.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -31, -4, -1, 34, -2\/19?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/(p*p\/(p\/(p*p**5))*p*p*p)*p\/(p*p**(1\/3))*p\/(p\/(p*p**(-5)))*p**(-7\/5) assuming p is positive.\nAnswer: p**(-221\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*k = 329 - 9 for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3494.903kg in tonnes?\nAnswer: 3.494903","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**3 + 37*o**2 - 70*o + 9. Determine g(35).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22002111200011020 - -2?\nAnswer: -22002111200011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/8*2*(-13)\/(-3146)*-22?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 6095, 12157, 18183, 24161, 30079, 35925, 41687, 47353?\n\"Answer: -2*b**3 - 6*b**2 + 6094*b + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 4*v. Let n be q(1). Suppose -g + 8 = -3*s - 3, -g - n*s - 3 = 0. Solve -3*y = -g*l - 27, 0*l + y = -5*l - 11 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -111 - d9?\nAnswer: -20a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 69099424 and 4352.\nAnswer: 544","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 59, 40, 5, -52, -137, -256, -415?\n\"Answer: -m**3 - 2*m**2 - 6*m + 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -18*c + 8127. List the prime factors of c.\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/26 + (-465)\/(-65). Suppose l + 2 = 3*j. Suppose j*i + 30 = 6*i. Solve 0 = -5*k - 0*k - i for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(-1\/7)*f**(-8))**(-48)\/((f\/(f*f**(-2)))**19\/(f**(-1\/4))**(5\/6)) assuming f is positive.\nAnswer: f**(51181\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 28496362 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 + 155. Round n to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -7*j + 243590*j**2 + 955 + 1902 - 243589*j**2. Suppose -l + 2*l = 0. Is q(l) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*a**3 - 3*a**3 + a**3 + (-a + 0 + 0)*(-a**2 + 0*a + 0*a) to the form f*a**2 + b*a**3 + j*a + o and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 45094\/45 - 1002. Let t(w) be the second derivative of -13\/24*w**4 - w + 17\/36*w**3 + 1\/15*w**5 - 1\/6*w**2 + 0 + a*w**6. Suppose t(k) = 0. What is k?\nAnswer: -2, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4112076 and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 2 = p, j - 2*p = 4 - 5. Let l be (j - 16\/(-6))*-12. What is the first derivative of -2 - 3*c**l + c**4 + 5 + 0*c**4 wrt c?\nAnswer: -8*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -3*v - 8. Let t = -3 - v. Let i = 8 + -4. What is the closest to -0.2 in i, t, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 60020622 and 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-6)\/(-8))\/(2\/(-288)*-4). What is the greatest common factor of p and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -2*v + 1204. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - 6*c + 8 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes after 11:31 PM?\nAnswer: 4:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 26005 - 26011. Put -0.3, g, 22 in increasing order.\nAnswer: g, -0.3, 22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 less than 103057450436?\nAnswer: 103057450435.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**2\/11 + 4737234*z\/11 - 861316.\nAnswer: 2*(z - 2)*(z + 2368619)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 4*h - 13 = 0, 3*h = -a - 0*h - 5. Suppose 0 = -b + a - 0. What is the remainder when -5 + 3 - (-10 - b) is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-9*v + 37*v - 7*v)*(-1591 + 3457 - 1644) + 1 - 1 - v + 0*v - 2*v + v)*(-1 - 3 + 2).\nAnswer: -9320*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 523 (b) 3\/7 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -9aa27 (base 11) in base 10?\nAnswer: -146318","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Convert 1b07 (base 13) to base 7.\nAnswer: 14563","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 9\/3*38\/(-38)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6, 8, 12, 18, 26, 36?\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-16)\/(-3))\/2)\/((-501360)\/(-15980850)).\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 - -12. Is 44 + g + 0 + 2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.4 - -15.6. Let s = -14.4 + g. Round s to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.84381 litres to millilitres.\nAnswer: 6843.81","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 - -9.5. Let v = h - -0.4. Which is the biggest value? (a) -0.2 (b) v (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**3 + 13*b**2 + 2*b + 1. Let h(w) = -7479*w**3 + 11*w**2 - 456*w + 4. Let c(l) = -f(l) + h(l). What is the third derivative of c(m) wrt m?\nAnswer: -44880","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 760 and 2328.\nAnswer: 221160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3147552457 + 3147552457 - 13*x.\nAnswer: -13*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (247\/57*(-2)\/(-13))\/((-2)\/9).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**2 - 5*g. Let r(t) = t**2. Let v(x) = -6*r(x) - 2*w(x). Find the second derivative of v(i) wrt i.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(360)\/(sqrt(12)*-1))\/(sqrt(90)\/(sqrt(54)\/sqrt(6)))*-5)**2.\nAnswer: 30*sqrt(3) + 84","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 14900 divided by -4\nAnswer: -3725","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 - (-21)\/(-6))\/(6\/(-1024)). Let j = q - 67. Calculate the greatest common factor of 21 and j.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -48005 divided by 9601?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-6)*(-3)\/6\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 420498 divided by -3?\nAnswer: -140166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.05 - -0.05. Let a = 0.03 - -2.97. What is the second smallest value in a, y, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 8*i. Let a(h) be the third derivative of 1\/24*h**4 + 10*h**2 + 0 + 0*h + 0*h**3. Calculate a(q(g)).\nAnswer: 8*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 183849951 and 0.4?\nAnswer: 73539980.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 38763 and 5133.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 5\/4 of a meter?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -82 (b) 3.6 (c) 2 (d) -8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 3) to base 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 325 greater than or equal to 1299\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 94157673?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Express (-2*m + 3*m + 0*m)*(-401 - 637 - 934 + 132 - 183) as s*m + h and give s.\nAnswer: -2023","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -265*v = -270*v + 143 + 17 for v.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 2*g + 282, 0 = -3*q - 7*g + 10*g + 216. Sort 1\/10, -2\/9, q, 0.5 in descending order.\nAnswer: q, 0.5, 1\/10, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 4*l**2 - 2*l - 2. Suppose -v + 4 = -2*u - 3*v, -2*u = 4*v + 12. What is m(u)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*u**4 - u**3 + 20*u**3 - 13*u**3 + 2*u in the form o*u**4 + l*u**2 + m*u**3 + r + a*u and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 92 = -5*o, 5*o + 189*u - 87 = 192*u. Solve 8*v = -4*s + 10*v + o, 4*v = -20 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 7 + 3)*(4*o - 4*o - o)*(4*o - 3*o - 2*o).\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.462 and -0.817?\nAnswer: -1.194454","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/3)*c*c**(1\/4))\/(c**(-2\/11)*c**(-1)) assuming c is positive.\nAnswer: c**(409\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 32*s + 146. Let y be k(-4). Solve -y + 22 = -4*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the first derivative of -2 + l - 1\/6*l**3 + l**2 - 1\/12*l**4. Let b(z) be the first derivative of q(z). Factor b(f).\nAnswer: -(f - 1)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (-2 - (-2 + -2) - (-36 - -37))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22 + 464*y**2 + 397*y - 776*y + 22 + 383*y to the form l + w*y**2 + b*y and give w.\nAnswer: 464","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 17*b + 60 = 0. Solve -3*z + 3*f = -6, b*z - 14 = 7*f - 2*f for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -104*i**2 + 0 - 5 + 102*i**2 + 7*i. Let h(x) = 1 + 2*x**2 - 2*x**2 + 5*x + x**2 - 3*x. Let a be h(-3). Determine l(a).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + j - 3 = 0. Solve 3*c - 2 = -a, c + 21 = -5*a + j for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes before 6:07 AM?\nAnswer: 10:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 8400241 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 4151 + 3066 = 5*u, -4*h = 5*u - 9616. What is the remainder when h is divided by 150?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 54718?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 5*i + 1, 5*d + 82*i - 22 = 80*i. Suppose -53 = -5*f - 5*z - 3, d*f = -z + 52. Solve -f = -4*r + 2*y, 0 = -2*y - 3*y - 15 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 238468 - 16?\nAnswer: 238452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 + 8. Suppose 0 = -3*t + 14*t - 319. What is the remainder when t is divided by r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -7*c - 8. Let d(j) = 13*j + 15. Let p(x) = -4*d(x) - 7*t(x). Suppose -26*z + 24*z = 10. Calculate p(z).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 300 and 0.075.\nAnswer: 300.075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -10003 or -2034?\nAnswer: -2034","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o when three letters picked without replacement from flfllqfffffo.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 14\/3 and 11\/597?\nAnswer: 597","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*z - 2379 = -263*z + 3463 for z.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o**10\/o)**(-2\/35))**(8\/13))**(8\/3) assuming o is positive.\nAnswer: o**(-256\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 5686*v - 179. Let g(s) = 1895*s - 60. Let u(l) = 11*g(l) - 4*n(l). Is u(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/((-49)\/(-28) - 1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and -91370343?\nAnswer: 36548137.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16 + -17. Put 0.4, 2.3, q in descending order.\nAnswer: 2.3, 0.4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -124*i + 12365 = 9513 for i.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1584)*3 + 2.\nAnswer: 2 + 36*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -63887480 divided by 31943740?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*x + 2*x - 18. Suppose 4*l = 49 - x. Which is greater: 11 or l?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 5*u + 11. Let y(v) = 9 + 4 + 4*v + 2*v - 1. Let f(c) = -5*w(c) + 4*y(c). Determine f(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-1\/3)*t)\/t)**(-9) assuming t is positive.\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -467*o**3 + 21*o**2 - 10*o. Let l be t(10). What is l rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**3 + 2*i**2 - i + 5. Let p be u(2). Solve 6*r - 3*r + 6 = -3*h, r = -p*h for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 246924 by 722.\nAnswer: 342","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (11\/66)\/(-2*726\/616*(-14)\/36)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 963726 is divided by 158?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.5, -0.4, 341?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4\/6)\/(8\/48). Solve 0 = 5*a + t*w - 4, -3 = -2*a - 3*w for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes after 4:07 PM?\nAnswer: 9:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:18 PM and 9:31 PM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (1\/(1 + -2))\/(((-64)\/(-47138))\/(-32))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 2*c**2 + 3*c + 3. Let w(o) = o - 16. Let t be w(13). Let q(n) = -3*n**2 - 5*n - 5. Let g(m) = t*q(m) - 5*k(m). Let l(r) = 14*r. Calculate g(l(z)).\nAnswer: -196*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 10 - 14)*((2*i + 1 - 1)*(1 - 1 + 1) - i + 2*i + 2 + i).\nAnswer: -72*i - 36","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 20 (base 11) to base 15\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aka when three letters picked without replacement from akakkaaaaaaaakaakk.\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 741, 4734, 11391, 20712?\n\"Answer: 1332*k**2 - 3*k - 588","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 143 and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16*((-4)\/(-6))\/((-5120)\/(-768)))\/((-1)\/35).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:10 AM and 2:51 PM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 35 - 3 - 17 - 1.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -53*w + 13. Let d(j) = -2*j. Determine d(k(t)).\nAnswer: 106*t - 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22 (base 16) to base 8.\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.857 + 0.357. Round y to one dp.\nAnswer: -3.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 313?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 5 = -v - c, -1 = c. Let o = 8 - v. Suppose 3*u - 45 = -2*u - o*n, u = 3*n + 13. Calculate the lowest common multiple of u and 7.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 3369.\nAnswer: 6738","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, 5, 46, 0 in increasing order.\nAnswer: -3, 0, 1, 5, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8667449 - -12327429. Suppose -2*y - 8*t = -4*t - z, 0 = 5*y + 4*t - 9149980. Round y to the nearest one hundred thousand.\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -2*b. Let x(d) = 17011*d**2 - 21. Determine z(x(i)).\nAnswer: -34022*i**2 + 42","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1439*z + 85913 - 5329 = 0 for z.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -110*n + 4*n**2 - 17*n - 2*n**2 + 3*n**2.\nAnswer: 5*n**2 - 127*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 159 - 99. Let z = 64 - n. Solve -3*l - z = -l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -23 - -44. Let h = 25 - x. Suppose 12 = 3*u, h*n + 0*u - 2*u = 1680. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is c70a - 27?\nAnswer: c6c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -22+0.34014\nAnswer: -21.65986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 - ((-2 - -4) + -2). Let h = 0.081 + -0.481. Which is the nearest to -1\/2? (a) f (b) -2 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00005821793111 rounded to seven dps?\nAnswer: 0.0000582","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -65916364, -131832736, -197749108?\nAnswer: -263665480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-7))\/((-141)\/(-2961))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 177*h + 585 + 1694 + 1261 = 0 for h.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 18*q - 5. Let i be r(1). Suppose 6 = s - 5. Suppose -6 - s = h + 4*t, -7 = -4*h - t. Solve -i - 2 = -h*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -16\/477 and 37\/166764?\nAnswer: 26515476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -6 + 0 + (-92 - -87)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 4*c**2 + 4*c + 9. Let f be t(-4). Suppose 0*v - v = -f. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -865, -3541, -7945, -13999, -21625?\nAnswer: -30745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -533167, -0.4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 10 = 2*h, -4*h + 2*h + 3 = -5*d. Suppose 0 = q - 4, 4*x + 3*q = -2*q - h. Let j(z) = -z - 1. Determine j(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 11.960795 to zero decimal places.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 - -5. Let l be ((3 + m)\/1)\/7. Put l, 0.5, -3\/7 in decreasing order.\nAnswer: 0.5, l, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > 1899\/1525?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 + 2 + -1 - -1. Suppose r = 6*q - q - 25. Let d(l) be the third derivative of -l**5\/60 + 5*l**4\/24 + 5*l**3\/6 + 2*l**2. Calculate d(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -2*r. Let a = 3 - 2. Let h be -2 - 4\/(a - -1). What is the lowest common multiple of p(h) and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2200?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 137 + -135. Let j be 2*(0 + 10\/4). Suppose -6 = -3*x + 3*t, -5*x - 2 = 3*t - 2*t. Solve -q*l = -l - j*m + 4, x = 3*l - 3*m for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-3\/4))\/((k\/(k\/(k\/(k*k**31))*k*k))\/k)*(k*k**(2\/39))**(-1\/4) assuming k is positive.\nAnswer: k**(2651\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14159 is divided by 2361?\nAnswer: 2354","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 67098836?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -12.247 and 246?\nAnswer: -3012.762","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.4 + -0.6. Let w = q - -1.4. Let v = -27\/2 - -14. Sort -4, w, v in descending order.\nAnswer: v, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = -2*x - 3*u, -15*u + 6 = -16*u for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 217536 divided by -4532\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -52*n + 58*n - 299*n + n**2 in the form t*n + h*n**2 + y and give t.\nAnswer: -293","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4964.6579 rounded to the nearest 100?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1934633*h**2 - 12129166*h**2 - 3338487*h**2 - 1502689*h**2.\nAnswer: -15035709*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 45133114 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.03119+13\nAnswer: 12.96881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-25)\/5*(-13)\/(-2340)*-9?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13\/232 - -2\/29. Suppose 0 = -2*w + 6*w + 4. Put w, 1, d in decreasing order.\nAnswer: 1, d, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -856 - -1154. Suppose 7*c = -73 + 283. Calculate the remainder when n is divided by c.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4896 and 39152.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 + 8. Let o be b - 3 - (-2 + -2). Suppose -o = 4*a + 4*h - 79, -103 = -5*a - h. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8089303 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 - 24. Let g be -6*(-2)\/(m\/(-12)). Solve -3*v + 4 + 7 = -4*y, -5*y - g = v for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 - 7\/3)*(-159)\/212. What is the closest to h in 0.8, 2\/5, 7, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 218500.\nAnswer: 2, 5, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(((-14)\/(-6))\/(3\/9))?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 11, -502482, 3, -2 in decreasing order.\nAnswer: 11, 5, 3, -2, -502482","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03184 rounded to three dps?\nAnswer: 0.032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -1239*i. Let g(u) = u. Determine g(a(m)).\nAnswer: -1239*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 497 to the power of 1\/2, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-19)\/(-19) - 3\/5. Let b = -0.218 + -4.832. Let c = -0.05 - b. What is the biggest value in r, -0.3, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4978119 plus 5449365?\nAnswer: 471246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4233 is divided by 121.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the third derivative of -809*m**6\/60 - 347*m**5\/60 - 549*m**2. What is the third derivative of j(v) wrt v?\nAnswer: -9708","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 319080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1148)\/(-16) + (-1)\/(-4). Suppose 15*g + 27 = q. Solve n + 0*n + s = -1, -4*n + g*s = -10 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-98)\/1813 - (-45)\/148?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u - 1. Let l(n) = n**2 - 3*n - 3. Let g(f) = -l(f) + 2*v(f). Give g(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/42 and 8\/((-16)\/(-39)) + (-1 - -9).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2000371?\nAnswer: 2000371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**3 - 2*r**2 + 7*r - 1. What is the least common multiple of 4 and d(-4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.78822087 rounded to three dps?\nAnswer: -3.788","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**2 + 363*i + 1404.\nAnswer: 3*(i + 4)*(i + 117)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 4, -6, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**3 - 6*o**2 - 2*o - 6. Determine y(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11365943 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.342863475 to three dps.\nAnswer: 0.343","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1879 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 46.9 - 45.9. Let t = -17 + -38. Let q be (-34)\/66 + (-10)\/t. Sort m, q, 0.\nAnswer: q, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*b - 9 = 50*b. Suppose 37 = b*k - 4*z, -26 = -2*k + 4*z - 0. Let l(v) = v - 1. Let n be l(5). Solve 3*s = -4*t - k, 6 = -s - n*t - 3 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11978 is divided by 97?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 33 + 3. Let s = 1 + x. Calculate the smallest common multiple of ((-6)\/(-8))\/(2\/16) and s.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -121, -135, -173, -247, -369, -551, -805?\n\"Answer: -2*c**3 - 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/1*(-1506)\/3514?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes before 1:36 AM?\nAnswer: 5:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((9009\/42)\/(-39))\/(-11)*50\/(-45).\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -9*o. Let u(i) = -10*i. Let w(l) = -6*f(l) + 5*u(l). Let x(z) be the third derivative of -z**5\/60 + 8*z**2. Determine w(x(j)).\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1278223?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m**5\/2 - 3*m**4 - m**3 + 8*m**2 + 3*m\/2 - 5 = 0.\nAnswer: -5, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1d49 (base 15) to base 16\nAnswer: -18e1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 35216114 and 8.\nAnswer: 140864456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/100)\/((-812)\/(-1015)) + (-7386)\/96.\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 10\/5*(-3)\/(-2). Suppose 0 = k + q, -2*k - 28 = -4*v - 6*k. Suppose 0*s = 2*s - v. Solve s*u - 7 = 13 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/3588 and -29\/69.\nAnswer: 3588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 11*j + 71. Let f be p(-6). Suppose -y - 151 = -f*s, -5*s = 2*y - 186 + 38. Solve -5*g + 11*g = s for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 c when three letters picked without replacement from jxjbjjjjbgjjhgjgbhcx?\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 8789*c**2 - c**3 - 2*c**4 - 8785*c**2 - 5*c - c**3 in the form h*c**2 + f*c**4 + q + i*c + a*c**3 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 132 and 4092.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 5, n: 1, z: 1, e: 2}. What is prob of sequence aenz?\nAnswer: 5\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -24 - -36. Calculate the highest common factor of 3 and u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 341 + -331. Let z = 27 - 47. Let y = -16 - z. What is the remainder when v is divided by y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = c - 16, c - 1 = -3. Let s be (p\/(-10))\/(6 - (-62)\/(-10)). Does 12 divide 416\/s - (-3)\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the second derivative of -7*h**4\/12 - 167*h. Let f(m) = -m - 1. Let o(j) = 2*j**2 + 12*j + 12. Let i(l) = -60*f(l) - 5*o(l). What is n(i(b))?\nAnswer: -700*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16 + -19. Put f, 3, 2 in decreasing order.\nAnswer: 3, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.733 + -1.783. Which is bigger: h or 16.1?\nAnswer: 16.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -69 * -32.\nAnswer: 2208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a2 - -19?\nAnswer: bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n + 100*n**2 - n**3 - 52*n**2 - 1 - 47*n**2. Determine v(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 94034?\nAnswer: 2, 47017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (6\/(-16)*-92)\/((-2)\/(-4)) and 30.\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26345771 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 97\/632 at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 162*q - 2. Let p be m(2). Let z = 589 - p. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 0.1, 3, -8, -58 in ascending order.\nAnswer: -58, -8, -0.5, 0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 3*y - 8 = -3*r, 3*r = 4*y - 41. Let b be ((-3)\/r)\/(2\/14). What is the remainder when (4\/12)\/((-1596)\/(-531) - b) is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/((-12)\/10 + 1). Let b = s - -10. Let c be (4 - -2)\/((-2)\/b). Round c to zero dps.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 217 + -334. Let c be 7 - p - -4*1. Calculate the greatest common factor of 8 and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 = -2*k - 23*u + 19*u, -4*u + 12 = -4*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 198, 188, 168, 132, 74, -12, -132?\nAnswer: -292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -2*v + 10, -4*v - 4*f = 4 + 4. Suppose v*x = 2*x - 72. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 4*u + 10, -2*u - 28 + 5 = 5*w. Which is the second smallest value? (a) -5 (b) -0.5 (c) w (d) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 295*d**2 - 810 + 633 - 1052 wrt d.\nAnswer: 590*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.27 - -0.4. Let t = -3.13 + s. What is the second biggest value in t, -0.4, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 4*j**3 - 6080*j**2 + 348268*j - 5072592 = 0.\nAnswer: 28, 31, 1461","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 108 + -58. Let z be (-2199)\/(-3) + -3 - -8. Suppose z*j = 734*j + 388. Calculate the remainder when j is divided by x.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + n - 4*a = 158, 4*n - 216 = 4*a. Suppose 5*v = n + 7. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 555448, 555486, 555520, 555550, 555576?\n\"Answer: -2*g**2 + 44*g + 555406","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 837*u**2. Let b(c) = -2*c**2. Give m(b(v)).\nAnswer: 3348*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -10*s + 70. What is the highest common factor of s and 98?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4373 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 110, 213, 316?\nAnswer: 419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 3 + 2 - 1 + 2 + 7*l. Let t(r) be the third derivative of -r**4\/3 - 7*r**3\/6 + r**2. What is 7*o(i) + 6*t(i)?\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Total of -68266.2 and 12.\nAnswer: -68254.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + 30 = s + s, -8*o + 13*o + 30 = 6*s for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put together 315449 and 0.\nAnswer: 315449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -104 + 209\/2. Let h(p) be the first derivative of p - u*p**2 + 4 + p**3. What is h(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 2*b - 9. Let r be u(6). Suppose 0*s - 16 = -4*s - q, -r*s + q + 19 = 0. Suppose s*m = -5*j + m + 118, 4*j - m - 107 = 0. List the prime factors of j.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 587*m**2 + 19*m + 32. Let v be z(-16). What is v rounded to the nearest 100000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 2*d. Suppose f + d - 2 = 0, 0 = 5*o - f - 18. Suppose 0 = 5*h - 3*v - 32, -o*h + 3*v + 24 = v. Solve -1 = -2*y - g, -h*y + 4 = -0*y + 4*g for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 533478893 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -132202 (base 4) to base 13\nAnswer: -b74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 51 + -49. Let l(i) = -2*i**3 - 5*i**2 - 2*i. Let s be l(-2). Suppose -2*k - m*o = 4, k + 4*o + o + 18 = s. Solve 2*t - k = 0, -u = u + t - 1 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 5*i - 14 = 0, -3*i + 6 = 2*t - 8 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.847949l to millilitres.\nAnswer: 4847.949","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-291 + 291 + 76*o)*(-4*o - 2 + 2)*(-4*o**2 + 3 - 3).\nAnswer: 1216*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -241, -186, -33, 266, 759?\n\"Answer: 8*i**3 + i**2 - 4*i - 246","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1302, -1301, -1300, -1299, -1298, -1297?\nAnswer: -1296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -575 by 1.\nAnswer: -575","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 537700262?\nAnswer: 2, 11, 173, 141277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h = -40 + 28 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + 4 - 4 - -1) + -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.085, 1.6, -2\/121, -5, 1\/2?\nAnswer: -2\/121","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 118054.827 seconds in days?\nAnswer: 1.3663753125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the first derivative of -z**6\/360 + z**5\/40 - z**4\/12 - 22*z**3\/3 - 27. Let k(g) be the third derivative of h(g). Factor k(p).\nAnswer: -(p - 2)*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j**5\/2 + 433*j**4\/2 - 210*j**3 - 2590*j**2 - 872*j + 3456 = 0 for j.\nAnswer: -2, 1, 4, 432","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 38*g - 194. Let j be v(7). Which is the second smallest value? (a) j (b) 3 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 13\/7 + 640\/560. Factor 1\/5*q**a + 4\/5 - 7\/5*q + 2\/5*q**2.\nAnswer: (q - 1)**2*(q + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-90)\/18 + 12 + 1588\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/720 and 51\/92390.\nAnswer: 6652080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/5 of a decade?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -18124.32 and -0.2.\nAnswer: 3624.864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/4 and ((-28)\/(-6) - 5)*666\/(-1780).\nAnswer: 1780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + 4*n = -6, 0 = 2*n - 38 + 36 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 455 and 87815.\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0\/((-9)\/3 + 0). Let s(v) = v**3 - 9*v**2 - 23*v + 7. Let d be s(11). Sort p, d, 3, -5.\nAnswer: -5, d, p, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-458)\/4*(-2)\/(-3). Let b be ((-1)\/(-3))\/((-2)\/477). Let g = m - b. Find the common denominator of 23\/10 and g.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 711726.13 + 0.2\nAnswer: 711726.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:26 PM and 8:34 PM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -7*((-22)\/11)\/2?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 2920338?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1, -104, -1166, 4, -7 in decreasing order.\nAnswer: 4, 1, -2, -7, -104, -1166","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/24 of a millennium?\nAnswer: 500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 72, -5\/3, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 80*q**2 - 4*q + 5. Is f(1) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*r - r - 44 = 0. Sort r, 0, 3, -8.\nAnswer: -8, 0, 3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p - 1. Let d(g) = -g**2 - g + 2. Give -d(z) + 2*u(z).\nAnswer: z**2 + 3*z - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11770 and 220.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iwiiwwwwwwwwwiiwwiw. What is prob of sequence wiwi?\nAnswer: 65\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-1)*1\/26.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -186*p + 16832. Calculate b(81).\nAnswer: 1766","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 268*r - 512860000 = -266*r, -3*r = -2*y + 512860000. Round y to the nearest 1000000.\nAnswer: 256000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 86 and 5504?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10021201121020 (base 3) in base 6?\nAnswer: 101233053","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.3 - 0.1. Let t = 15 - 14.9. Let u be 8\/(-14)*(-56)\/24. What is the closest to t in l, u, 2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-3 - -6) + -3)*-1. Let i = 5 + -37\/7. Which is the biggest value? (a) v (b) i (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**2 + c - 3. Let r be m(-3). Let q be (10\/3)\/((-6)\/(-54)). Suppose -69 - q = -r*u. What is the lowest common multiple of 15 and u?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (12\/990)\/((-2498)\/(-630) + 104\/(-468)) and 50\/4323?\nAnswer: 4323","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2288 - 0.416.\nAnswer: 2287.584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 854 divide 117974976?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + 3*m - 3*t + 11, t = 3*m + 1. Calculate the common denominator of -35\/8 and 304\/(-153) + (-14)\/18 + m.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14707*w - 2777*w - 8594*w.\nAnswer: -26078*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1612, -2406, -3202, -4000, -4800, -5602, -6406?\nAnswer: -7212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1\/4)\/(g\/g**23)*(g*g\/g**(2\/15))**13)**(8\/15) assuming g is positive.\nAnswer: g**(5522\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -8*s**3 + 71*s - 29*s**2 + 17 + 81*s - 5 - 172*s = 0. Calculate s.\nAnswer: -2, 3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the first derivative of 0*v - 138 + 207\/2*v**2 + 47*v**3. Find the second derivative of s(z) wrt z.\nAnswer: 282","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2090935*i + 22*i**2 - 2091259*i + 18*i**2 + 2.\nAnswer: 40*i**2 - 324*i + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -4311777 < -4311817?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**3 - 7*o**2 - 4*o - 8. Suppose 4*g - 5*h + 4*h - 51 = 0, 0 = 5*g + 5*h - 70. Calculate the remainder when n(8) is divided by g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 508*w + 511*w = 0, -6 = 5*j - 9*w for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6140 - 607846\/99. Find the common denominator of 19\/36 and a.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**3 + 6*a**2 + 8*a - 1. Let q be (6 - (-7 + 11))*7\/2. Calculate t(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 217 = -5*z - 24*n, 424 - 485 = 2*z + n for z.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**2 - 71*b - 1501. Let q be y(88). Suppose -5*n = 12 + 133. Are n and q non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 42 and 60816.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 373827 is divided by 124280?\nAnswer: 987","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in 1, -1, 6\/11, -4?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from cfcs?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 72023278 divided by 3\nAnswer: 72023278\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add 10 and 0.0004117361.\nAnswer: 10.0004117361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -3*m - 15, -u = -0*u + 5*m - 1. Let t(j) be the first derivative of j**3\/3 - 5*j**2\/2 + 5*j + 8. What are the prime factors of t(u)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -672.7956 - -673. Round b to two dps.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/4 of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 509119220*n**3 + 25632941*n**2 + 1 wrt n.\nAnswer: 3054715320","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7493987 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**4*n\/(n**19*n))\/(n**(1\/6)\/(n*n**(-3\/5)*n)))**(-40) assuming n is positive.\nAnswer: n**(1652\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7545814.\nAnswer: 2, 3772907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1318462947 to the power of 1\/2, to the nearest integer?\nAnswer: 36311","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 - (2 - 3))*-12. Suppose 4*s - n = -0*s. Suppose 3*i + s*j = 36, 5*j + 10 = 4*i - 20. Calculate the remainder when 28 is divided by i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 48 = 28. What is the highest common divisor of t and 76?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + (23 - 31 - -38) - -30?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*r + 9*r = -4781. Suppose -787 = -6*o + r. Is 12 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**3 - 5*y**2 - 4*y + 1. Let l(b) = 4*b**2 - 20*b + 4. Let v be l(5). Let x(r) = 2*r**3 - 9*r**2 - 7*r + 2. Give v*x(o) - 7*p(o).\nAnswer: o**3 - o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19878644 by -964.\nAnswer: 20621","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 + -8. Let r be 1\/3 - (-13)\/(-3). Put r, -3, z in decreasing order.\nAnswer: z, -3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-100)\/(-80)*31464\/414.\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 4, p: 2}. Give prob of picking 1 m and 1 p.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1420.1 - 1420.1. Let c = 16 - 13.6. What is the nearest to 0 in -5, c, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-32)\/(8\/(-2)) + 2786\/(-199).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 9, m: 7, n: 1, s: 2}. What is prob of sequence qqs?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -30, -125, -290, -531, -854, -1265, -1770?\n\"Answer: -k**3 - 29*k**2 - k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-28)\/12)\/(7 + 1644\/(-234)). Calculate the highest common divisor of 13 and l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1021, -1016, -1009, -1000, -989, -976?\nAnswer: -961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -139.9 + 144. Let o = 79 + -83. Let m = h + o. Is m > 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000018116 to 7 decimal places.\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 145*o**2 - 5*o. Let q(f) be the second derivative of f**4\/12 + f**3\/6 + 65*f - 1. Let h(m) = -5*q(m) - w(m). Let p(a) = -a. Give p(h(k)).\nAnswer: 150*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Convert 157430 (base 10) to base 5.\nAnswer: 20014210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**3 - h**2 - 1. Let w(y) = 7*y**3 + 4*y**2 - y + 5. Let k be 1\/((-4 - -5)\/1). Calculate k*w(u) + 5*t(u).\nAnswer: 2*u**3 - u**2 - u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from nnen.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1344 + 1344. Is y less than -14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**3 - x**2 + x + 1. Let n(h) = -10*h**3 - 14*h**2 + 12*h - 9. Let v(j) = -5*j**3 - 8*j**2 + 7*j - 5. Let k(m) = 4*n(m) - 7*v(m). Give i(p) + k(p).\nAnswer: -4*p**3 - p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1159a + -854?\nAnswer: 10846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1825*w = -1830*w + 3*h + 97, 3*w + 106*h + 105*h - 313*h = -98*h + 56 for w.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**4 + 1658*b**3 - 1656*b**2.\nAnswer: -2*b**2*(b - 828)*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 39 = -2*u - 5, -19 = -u + 2*r. Is 10\/(-45) + 17313\/u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*h - 8 = -15*h. Let c be 21\/(-14)*h\/(-6). Let v = 2 + -2. Is v <= c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 314288 is divided by 20946.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 611 and 7?\nAnswer: 4277","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**2 + 11*k - 11. Let r be w(9). Suppose -f - 2*g = -8, r + 21 = f - 3*g. Let z = f + -5. Is 6 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12221482 and 7644.\nAnswer: 1274","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**3 - 5*a**2 - 4*a + 4. Let y be m(-4). Suppose -8 = y*f, l - 10 = 3*f - 0*f. Find the first derivative of 2*d**l + 3 + 3*d**4 - 1 - 3*d**4 wrt d.\nAnswer: 8*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 372579 is divided by 316.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/6*3\/(-4)*-4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**3 + 79*i**2 + 62*i + 1293. What is w(80)?\nAnswer: -147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 2*k**3 - 8 + 4*k + 0*k + 8*k**2 - 5*k**3 - k**3 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 422775 (base 8) to base 3.\nAnswer: 21011010201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) -314.76 (c) 0 (d) 13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-42)*(-675)\/75.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g - 6. Let o be p(-5). Suppose 11*k + 204 = -23*k. Suppose t - 5 = -10. Sort o, k, t, 3 in descending order.\nAnswer: 3, o, t, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y**2\/4 - 27*y\/4 - 18 = 0.\nAnswer: -24, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 - -130330?\nAnswer: 130330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -703 = -v + 2*f + 123, -3*v - 3*f = -2451. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.16047703 rounded to one dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2221.30836 seconds in days?\nAnswer: 0.0257095875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 37 - 33. Suppose -t*q = -34 + 10. Suppose 3*k + 85 = 2*u, 0 = -4*k - 14 - q. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**2 - 17*r - 35. Calculate u(-14).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -490*c + 487*c + 28995. What is the tens digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6490282 and 302.\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2\/7, 3, -0.14.\nAnswer: -1, -2\/7, -0.14, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 45 + -25. Suppose 0 = -h*d + 23*d + 111000. What is d rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 45\/37 + 115\/666. Find the common denominator of 29\/136 and k.\nAnswer: 1224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*q - 6*q + 7*q)*((3*q - 4*q + 3*q)*(-4 - 1 + 4) + 15 - 15 - 17*q) in the form h + l*q + s*q**2 and give s.\nAnswer: -133","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.850922ns to microseconds.\nAnswer: 0.000850922","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - 3*q + 3, 3*x - 6*q = -4*q. Let f(a) = 2*a - 4*a + 4*a**2 - 4*a - 4 + x. Calculate the smallest common multiple of f(3) and 2.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 14 + 34 = 0. Let r be ((-24)\/72)\/(1\/(-6)). Suppose -r = -9*a + 8*a. Put a, -4, x in decreasing order.\nAnswer: x, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/(-14)*-5*-7. Let y = 56 - 31. Calculate the highest common factor of y and j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*u**2 + 32*u**3 - 2*u**4 - 28*u**3 + 2 - 1 + 68*u**3 - 4 to the form b*u**2 + k + h*u**4 + m*u + i*u**3 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.07 or -2164\/7?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.03, -3, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + 30 + -15 + 7 - -18?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of -b**7\/280 + b**6\/60 + b**5\/40 - b**4\/4 - 7*b**3 + 3. Let w(n) be the third derivative of a(n). What is o in w(o) = 0?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-7)\/(28\/(-208)) + 4?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4796 and 14.\nAnswer: 33572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*s + 2760 = 12*s. Let p = s - -121. Let l(r) = 2*r**2 - 5*r + 1. Calculate the remainder when l(4) is divided by p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 792 and 133416.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (2674\/140 - 13) + (-7 - -1)\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 41\/2 of a kilometer?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (11 + 3*g - 11)*(-31 + 19 - 23 - 39) to the form c*g + z and give c.\nAnswer: -222","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -861 = -168*p - 119*p. Let h be (1\/3)\/((-3)\/(-36)). Suppose -h*r = 2*s - 12, -1 - 17 = -4*r + s. Solve 2*m = 10, r*j - m + 8 = p*m for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.27 and -210.1306.\nAnswer: 266.865862","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 585?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1a67 (base 16) to base 4.\nAnswer: 1221213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 3*k = -3*d + 342, 3*k + 586 = 5*d. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -552*a - 1640 + 205*a + 1638.\nAnswer: -347*a - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13895536.\nAnswer: 2, 19, 43, 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 14\/(-10)) + 276\/660?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 16191\/(-36) + -4 + 3\/4. Let v = k + 625. Is 4 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:01 AM and 8:25 PM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 25 = 6*f. Let h be 2\/f - (-46)\/(-10). Suppose 16 = -0*c - 4*c - 5*s, -2*s + 8 = -2*c. Sort h, -2\/13, c in descending order.\nAnswer: -2\/13, c, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 + 6*f**2 + 3. Let d be p(-6). Suppose -d*l - 51 = -0*c - 3*c, -3*c + l = -59. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -944 by 236.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the second derivative of -t**4\/12 + 2*t. Let y = -15 + 17. Let u(q) = y*q + 0*q + q. Calculate u(o(w)).\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the third derivative of -q**5\/60 - q**3\/6 + 5*q**2. Let m(z) = -15*z**2 - 12. Give m(i) - 12*o(i).\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**36\/s**(-30))\/(s**(1\/19)*s**(-17\/3)) assuming s is positive.\nAnswer: s**(4082\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 27*n**3*r**3 + n**3*r**2 + 421*n**3 wrt r.\nAnswer: 81*n**3*r**2 + 2*n**3*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 315 a factor of 300018968?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/(-6))\/(1\/75). Suppose 4*x = -3*a - 0*a + n, -2*x = 2*a - 14. Suppose -2*w**3 + 2*w**3 + 2*w**3 + 2*w**x + 0*w**4 = 0. Calculate w.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 38 = -2*g. Let l be (-5)\/(-1) - 21\/(-7). What is the remainder when g is divided by ((-2)\/l)\/(1\/(-28))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.20817506 - -0.2\nAnswer: 0.40817506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 1. Let w(u) = -u + 2. Let i(f) = 6*l(f) + w(f). Let r(n) = n - 9. Let x be (1 - 11)\/((-9)\/18*-4). What is x*r(k) - 6*i(k)?\nAnswer: k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 133306242.\nAnswer: 2, 3, 19, 1169353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, 0, 182 in increasing order.\nAnswer: 0, 4, 5, 182","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 - 17 = -u. Let n(b) be the first derivative of -1\/3*b**u - 2*b**2 - 7 + 0*b. Find the second derivative of n(q) wrt q.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -3213909 and -3213908 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4\/3, 1, -195\/4?\nAnswer: -195\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3855323?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 164047194 to the nearest one hundred thousand.\nAnswer: 164000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(3 + (3*sqrt(567) + -2)*-5)*-5)**2 + -3.\nAnswer: -3159000*sqrt(7) + 114969597","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is (6\/4)\/((-3)\/(-114)) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18 + -15. Let y = -4 + 10. Suppose 2*h + 4*u = h - y, -d*h + 4*u + 14 = 0. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 2*k**2 + 863*k + 65615. Give j(-333).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 7 = -3*d, 3*d - 3 - 2 = -4*t. Let s(k) = -11*k + 2. What is the remainder when 63 is divided by s(d)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 1372?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13889138*k**2 - 10084278*k wrt k.\nAnswer: -27778276","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1780 = -4*v + 5*z, -5*v + 3*z = -698 - 1527. Let c = 1219 + v. What are the prime factors of c?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.36 - 2.9. What is y rounded to one decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 715479 (base 14) to base 3.\nAnswer: 21011222000211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*p - c - 12 = -23*p, -3*c - 230 + 24 = 70*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -2*d - 5 + 4, 2*d = -l + 11. Suppose -2*u = d*w - 50, -2*w + 30 = -u - 3*u. Which is the nearest to -0.2? (a) -5 (b) 0 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -2*i - 5. Suppose -21 = -2*l - 3*x, -8 = -l - x + 1. Calculate the lowest common multiple of l and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - -1. Let w be 0 - -2 - -1 - z. Solve 2*l - w = -6 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 70855.7ml to litres.\nAnswer: 70.8557","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -630*j + 1692*j + 29736 = 0 for j.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 2*h**2. Let q(o) = -o + 30617486. Give q(k(x)).\nAnswer: -2*x**2 + 30617486","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -85 + 85. Let l be ((-42)\/9)\/(4\/6). Let c = 4\/51 - 83\/408. Sort y, c, l.\nAnswer: l, c, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -26*s - 3. Let k be a(1). Let q = k - -32. Solve -4 = 4*f + 3*p, -20 = 2*p + q*p for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -5, 3, -134, -61 in decreasing order.\nAnswer: 3, 2, -5, -61, -134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 29?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*b = -12*b - 28. Suppose -4*x - c + 236 = 0, -x + 5*x - 236 = -2*c. Let d = x + b. List the prime factors of d.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8231613 + -25980595. Let w = q + 9088982. What is w rounded to the nearest 100000?\nAnswer: -8700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-4) - (-195)\/(-10). What is the tens digit of -2 + 1 + 0 - z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -38*l + 125. Let f(w) = 8*w + 3. Let p(c) = 5*f(c) + t(c). Let n(s) = 2*s. Give n(p(q)).\nAnswer: 4*q + 280","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 151422 is divided by 581.\nAnswer: 362","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*g - 4*g + 3 = -2*k, -3680*k + 5*g + 33 = -3684*k for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 127516.9 millimeters?\nAnswer: 12751.69","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**1*j**1)\/(j**7\/j*j\/(j**4*j)))\/((j**(3\/10)*j\/(((j**(1\/3)\/j)\/j)\/j))\/((j**(-2\/5)*j)\/(j*j**8))) assuming j is positive.\nAnswer: j**(-371\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 200 + -168. Let q = v - -179. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9673144 divided by 281?\nAnswer: -34424","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 951.619001 plus 24?\nAnswer: 975.619001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 2*m + 1022 = 2*d, 2*m + 1565 = 3*d. List the prime factors of d.\nAnswer: 3, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*h**4 + 1561*h**3 + 39*h**2 - 4*h + 776272 wrt h.\nAnswer: 24*h**2 + 9366*h + 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 2*x + 1. Suppose 2*d = 8 + 2. Suppose 0 = 4*p + 4, o - d*p = 5*o - 23. What is the least common multiple of h(3) and o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(68) - (sqrt(68) + -1 + sqrt(68)))*6 + 3) - 5*3*(1 + sqrt(1377) + sqrt(1377) + sqrt(1377))**2*3.\nAnswer: -557757 - 2394*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2313487 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**6*j\/((j\/j**7)\/j)*j**(2\/5)*j*j**3)\/((j\/j**(1\/2)*j\/(j**(-1)*j))\/(j\/(j\/j**(-5)*j)*j**(2\/13))) assuming j is positive.\nAnswer: j**(1437\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -20 in -2, -0.2, -1, 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5742612 is divided by 22.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -38 + 49. Suppose 0 = 5*z - 3*r + 156, -2*r + 94 = 2*z - 5*z. Let v = -19 - z. What is the greatest common factor of b and v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (123 - 123 + 25*v)*(-3 - 4 + 5).\nAnswer: -50*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the third derivative of -i**8\/112 - 3*i**5\/20 - 2*i**2. Find the third derivative of n(v) wrt v.\nAnswer: -180*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -16, -136, 2\/75, 70\/3, -2, -5?\nAnswer: 2\/75","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 6*o - 50. Let g be d(15). Let b = g - 31. Suppose -2*t - y = -7, -t + 0*y - b = 3*y. What is the highest common divisor of 9 and t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 + -14. Let t be (r\/(-2))\/(270\/24). What is the closest to 2\/7 in -3\/2, t, -4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 401915, 803828, 1205737, 1607642, 2009543?\nAnswer: 2411440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6 - -8)\/((-2)\/(-2411)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b + 4*n + 705 - 4273, 3*b = 5*n + 5330. What are the prime factors of b?\nAnswer: 2, 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 - -6. Let i = -8 + r. Are i and 4\/3 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3521.7 to the nearest 10.\nAnswer: 3520","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -230.93 + 3.93. Let q = l + 221. Which is smaller: q or 2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2725251482.\nAnswer: 2, 193, 7060237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -23941 (base 10) in base 6?\nAnswer: -302501","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 4*w**2 + 231409696*w - 231409700 = 0.\nAnswer: -57852425, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/900 and 8\/30*(-8 + 0 - (-29073)\/3630)?\nAnswer: 9900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 3 a when four letters picked without replacement from yayaay.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 408462 is divided by 2627.\nAnswer: 1277","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -131*-3*(-6)\/18. Let v = 122 + t. Let q(j) = -j**2 - 8*j + 4. Determine q(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 13*u**2 + 10*u. Let z(q) = -19*q**2 - 14*q. Let r(j) = -7*s(j) - 5*z(j). Let m(b) = 15*b**2. Determine m(r(x)).\nAnswer: 240*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-4)\/(-10)*(73 - 13) + -4 is divided by 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -0.1, 14\/195.\nAnswer: -0.1, 14\/195, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10*1*-4*(-25 + 2814\/112)*-13.\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16.2048 less than -1834.177067?\nAnswer: -1817.972267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 55244669 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**3 + 2*d + 1. Let q be u(-2). Let z = q + -3. Let c(i) be the first derivative of 3*i**2\/2 - 2*i - 26. Let o(k) = k - 1. What is z*o(w) - c(w)?\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -800364, -1600665, -2400966, -3201267, -4001568, -4801869?\nAnswer: -5602170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 186*g - 84. Let p(s) = s. Let r(k) = -c(k) - 12*p(k). What is the thousands digit of r(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*c + 127*c + 35*c = 21*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -a**3*l**2 + 28*a**3*l - 3*a**2*l**3 + 21*a*l**3 + 22*a wrt a?\nAnswer: -6*a*l**2 + 168*a*l - 6*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.99 + 0.01. Let g = 40 - 34.8. Let w = g + -0.2. Sort -5\/7, w, j in decreasing order.\nAnswer: w, j, -5\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 4) to base 15\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the second derivative of -7*n**3\/6 + 4*n + 72. Let x(y) = -120*y. Calculate x(l(c)).\nAnswer: 840*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*x - 7 + 4*x + 8)*((0*x + 3*x - 2*x)*(-3*x + x + 0*x) - 40*x**2 - 40*x**2 + 39*x**2).\nAnswer: 43*x**3 - 43*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 878 and 74?\nAnswer: 32486","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g**2\/7 - 4099*g\/7 - 8194\/7 = 0.\nAnswer: -4097, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -41.8, -5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/(24\/86)*(6 + -2). Suppose i*x + 12636 = 52*x. Is 13 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in three fifths of a millennium?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the first derivative of h**3\/3 + 6. Let o(s) = -90*s + 2988 - 3081 + 91*s. Determine o(q(v)).\nAnswer: v**2 - 93","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14.15 - 0.15. Let f = h - 13.8. What is the closest to -0.1 in f, -1, 0.5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**2 - 20*y - 7298. Determine b(96).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**3 - 6*k**2 - k - 47. Let a be w(7). Let t be -1 + 6 + a + (-1 - -157). What is the greatest common divisor of t and 195?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 7, c: 5}. What is prob of sequence cqc?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -121*f**2 + 68*f**2 - 163*f**2 + (-5*f + 5*f + 4*f)*(-f + 0*f - f).\nAnswer: -224*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 1 - -8) + (138 - 27 - 149)\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 555444829 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -6*o**3 + 2*o**2 - 3. Let q(n) = 29*n**2 - 2*n**3 - 2 + 25*n**2 - 3*n**3 - 53*n**2. Suppose d = 3*x - 4 + 2, d = -4*x - 2. What is d*i(g) + 3*q(g)?\nAnswer: -3*g**3 - g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((1*sqrt(1260) - sqrt(35) - -4*(sqrt(35) + sqrt(140)))\/((sqrt(7) - sqrt(112)*5) + sqrt(252)*1))**2.\nAnswer: -2890\/169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, 3, 332, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -774 = 125*v - 126*v. Suppose -4*o = -4 - 4. Suppose o*c + c = 3*b - v, -5*b + 1286 = -4*c. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1344)*-2 + sqrt(1344))*-6*2)\/((sqrt(847) - (sqrt(847) + 6*sqrt(847)*2) - sqrt(847))*3).\nAnswer: -32*sqrt(3)\/143","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m + 74 = -126. What is the highest common divisor of 425 and m?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20674 - -1107.6086665?\nAnswer: -19566.3913335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/19, -1\/3, 0.103, -1 in ascending order.\nAnswer: -1, -1\/3, -2\/19, 0.103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 6788084990?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 14058217 to the nearest integer?\nAnswer: 241","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 48532, 388650, 1311824, 3109582, 6073452, 10494962?\n\"Answer: 48588*c**3 + 2*c - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/(((-70)\/14)\/5)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:16 PM and 2:34 AM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 632, 492, 112, -628, -1848, -3668, -6208, -9588?\n\"Answer: -20*o**3 + 652","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.2834 - -0.0234. Let y = u - -3.96. What is the smallest value in 3\/8, -1, 2\/17, y?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 6*o. Let f(u) be the first derivative of u**6\/120 - 4*u**3\/3 + 5*u**2\/2 - 53. Let x(p) be the third derivative of f(p). Calculate x(n(d)).\nAnswer: 108*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 3*z = 5*s - 260, 104 = 2*s - z. Let n(k) = 19*k**3 - 2*k**2 + k. Calculate the remainder when s is divided by n(1).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -314, 3, 2 in descending order.\nAnswer: 3, 2, -5, -314","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4011?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9047403 to the nearest integer?\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 46\/276*4\/5*-1*(-35)\/(-7)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -32, -64, -102, -146, -196?\n\"Answer: -3*m**2 - 23*m - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -862.2 rounded to the nearest 10?\nAnswer: -860","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**2 + 11*v + 16. Determine q(15).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 3*q + 4. Let u(c) be the third derivative of c**3\/6 + c**2. Let x = -89 + 88. Give x*p(i) + 4*u(i).\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 592 + ((-1)\/(-2) - (-1)\/2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 18\/(-63)*1\/(-1). Factor -u*n**3 + 0*n + 0 + 2\/7*n**4 + 0*n**2.\nAnswer: 2*n**3*(n - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 43790.0349 to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**2 + 3*d - 14. Let z(w) = 2. Let l(n) = a(n) + 3*z(n). Calculate l(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(-5) - 18\/10. Let l be 2 + -3 - 2\/w. Suppose l = 4*f - b - 12, 5*f - 23 + 8 = -5*b. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*i + 52*i = 2 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4*z**2 + 829579*z - 53050853?\nAnswer: -8*z + 829579","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 5*p**2 + 2*p + 12. Let n be s(-5). Suppose 3*z = 4*z - n. Is 11 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*s = 9*s + 3*m + 136, -5*m = 2*s - 217. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -464.8 - -424. Let i = w + 3.8. Let t = i - -36.5. Which is the fourth smallest value? (a) 0.3 (b) 0.5 (c) 4\/5 (d) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*((h\/h**(-1))\/h)\/h)**(-2\/5))**(-32)\/((h*h**(-2)\/h*h*h)\/((h*h**(-3\/2))\/h))**(-1\/10) assuming h is positive.\nAnswer: h**(259\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:42 AM and 7:31 AM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 58*j**5 + 23*j**3 + 6823*j**2.\nAnswer: 3480*j**2 + 138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/40 and 4055\/7200 - (-4)\/(-9)?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-3 - 1758\/(-12))*(-12)\/(-7) is divided by 63.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-12)\/(-280) + (-1)\/(-2). Let w = 2\/5 - h. Which is the second smallest value? (a) 2 (b) w (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -14468, -115744, -390672, -926090, -1808836?\n\"Answer: -14473*f**3 + 12*f**2 - f - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -8 - p**2 + 2 + 6. Let a(q) = 7*q - 4*q**2 - 7*q. Calculate g(a(z)).\nAnswer: -16*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-9)\/6*(-6)\/1. Suppose -c + 34 = 5*y. Let p(z) be the second derivative of z**4\/12 - 7*z**3\/6 + 7*z**2\/2 + 58*z. Determine p(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5675664 a multiple of 388?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30.8361 decades to years.\nAnswer: 308.361","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*d + 47 - 13*d**2 - 47 as k + r*d**2 + n*d and give r.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*j + 2*j + 4*j - 15*j**2)*(1 + 0 - 2)*(-85 + 74 + 120).\nAnswer: 1635*j**2 - 109*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 take away -23.78?\nAnswer: 23.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3130, -4 in decreasing order.\nAnswer: 3130, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 653 * -0.5.\nAnswer: -326.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 218194643?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -11*m - 45. Let b(q) = 23*q + 89. Let f(d) = -3*b(d) - 5*u(d). Let w(t) = 5*t + 14. Let x(a) = -4*f(a) - 11*w(a). What is x(-7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*p - 36 = 4*i + 39*p, -2*i + 5*p + 12 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/215 in -3, 0.9, -4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*-2*sqrt(1331)*-4.\nAnswer: -528*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -409, -410, -411, -412, -413, -414?\nAnswer: -415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**3 - 11*f**2 - 38*f - 508. Is 18 a factor of y(-17)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 82551 or 82450?\nAnswer: 82551","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17882493 is divided by 9343?\nAnswer: 9334","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 6, c: 3, w: 3, k: 5}. What is prob of sequence cwkf?\nAnswer: 9\/1904","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(2\/13)*(o*o\/(o*(o**18\/o)\/o*o)*o)\/o)\/(o**10*o*o**(3\/4)) assuming o is positive.\nAnswer: o**(-1435\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -1 + (8 - 8) - -1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10 and 40829335?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 70*j**4 + 102 - 102 + (-4*j**3 + 5*j**3 - 3*j**3)*(-j + j + 2*j) in the form u*j**3 + v*j + s*j**2 + r + i*j**4 and give i.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 + 1771.\nAnswer: 1770.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -22340?\nAnswer: -3\/22340","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**3\/2 - 183*g**2\/2 - 5439*g.\nAnswer: 3*g*(g - 98)*(g + 37)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**3 - 4*g**2 + 12. Let w be j(2). Suppose 3*s = o - 16 + 42, -s = 2*o - w. Solve -u + s = 4 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - 6*v + 6. Let j(w) = -4*w**2 - 4 - 13*w**3 - 9*w**3 + 28*w**v - 4*w. Let g(y) = 7*y**3 - 5*y**2 - 5*y - 5. Give -4*g(d) + 5*j(d).\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 2*r - 18 = 52, -2*b + 4*r + 70 = 0. Suppose 33*p - 29*p = 16. Suppose p*g = -2*m + 66, -5*m - b = -g - 2. Is 18 < g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 186 divide 126225?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 701168*x**2. Let q(z) = z**2. Determine y(q(n)).\nAnswer: 701168*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 949 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*z + 2*z - 64. Which is the fourth smallest value? (a) 0.06 (b) z (c) -2\/15 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the first derivative of 0*g**2 - 2*g + 5 + 4\/3*g**3. What is the first derivative of y(k) wrt k?\nAnswer: 8*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**2 + 144*x - 1909. Let b be 624\/10 - 2\/5. Let y = b + -13. What is the remainder when y is divided by d(15)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 380 and 501030?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100*v**4\/7 - 200*v**3\/7 + 868*v**2 - 8032*v\/7 + 2256\/7 = 0 for v.\nAnswer: -47\/5, 2\/5, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 34*z**3 + 2*z**2 + 26*z - 27. Let u be l(1). List the prime factors of 11010\/14 + (-15)\/u.\nAnswer: 2, 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, 0.04, 105?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19334 is divided by 263.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o + 3*o - 6. What is the remainder when 187 is divided by (123\/o + -3)\/((-2)\/4)?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:17 PM and 8:54 PM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 310\/28 - (551\/266 + -2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (-4 - -10 - 3)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 + (-116 - (2 - -1)). Let k be 598\/(-8) + (-3)\/12. Let r = k - f. What are the prime factors of r?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 2*p**2 + p + 1. Let a = 1 - -2. Suppose 2*x = -a*x - 10. Give d(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/7540645 and -13\/2154470.\nAnswer: 15081290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 - -53. Let u = -15687 - -15720. What is the remainder when a is divided by u?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/12*-15*(-4)\/2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -58*p - 28. Let w(o) = -127*o - 57. What is 9*n(g) - 4*w(g)?\nAnswer: -14*g - 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 14) in base 11?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, d: 1, e: 1, l: 1, w: 5}. What is prob of sequence el?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -39023280 divided by -650388\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -4*n. Let y(p) be the first derivative of p**5\/15 - p**3\/3 - p - 38. Let x(w) be the third derivative of y(w). Give c(x(o)).\nAnswer: -32*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-89)\/(-445)*20\/(-14)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*s**3 - 2006*s**2 - 5*s - 321?\nAnswer: -12*s - 4012","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -33*q**2 + 354*q - 123. What is v(10)?\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 0 = -5*k + 5, 5*k = u + 11. Suppose -8*s + 5 = -3*s. Let n = 6 - 6. Solve -4 = -3*t - k*a, -a + n = 3*t + s for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 322 is divided by 107?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14.7 - -15. What is the closest to 0.02 in -5, 1, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes before 3:42 PM?\nAnswer: 5:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -34514 + -21.58.\nAnswer: -34535.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3879?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -12589 take away -51253.979699?\nAnswer: 38664.979699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10.349 + -0.209. Let d = -10 + j. Let r = 0.06 + d. What is the second biggest value in 0.4, r, -2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 79895607?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 7652144369 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/3200 and 58\/17955?\nAnswer: 11491200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1075?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the second derivative of -n**3\/6 + 3*n**2\/2 - 13*n. Let i(r) = 8*r - 20. Determine 3*i(a) + 20*x(a).\nAnswer: 4*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26, -28, -32, -38, -46?\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes before 11:05 AM?\nAnswer: 12:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1138 + -526. Let p = -430 + l. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in seventeen halves of a meter?\nAnswer: 850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 25*z + 583. What is r(-25)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45142 is divided by 206.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 11) to base 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -212 and -212 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - 10, 0*n + 5*n = -5*u + 920. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (-2 - (6 + -11))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**2 - 7*w + 1. Let a(h) = h**2 + 6*h + 3. Let i be a(-4). Let b be l(i). Suppose 5*s - b = 34. Solve 5*f - s - 1 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20 (base 6) to base 15.\nAnswer: -c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 327 a factor of 981?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 198200 rounded to the nearest 100000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -46 - -128. What is the tens digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**2 - 1. Let s(h) = h**3 + 3*h**2 + 3. What is 4*l(v) + 2*s(v)?\nAnswer: 2*v**3 + 2*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -433414143 - -10?\nAnswer: -433414133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -17 + 9. Suppose 5*v + 11 = 4*g, -4*v + 12 + r = 4*g. Solve -8*p = -g*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77 is divided by 74?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.1 and 416289?\nAnswer: 416289.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1237906, 2475623, 3713148, 4950481?\n\"Answer: -96*c**2 + 1238005*c - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 697047 to the power of 1\/3, to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ninety-one quarters of a litre in millilitres?\nAnswer: 22750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 - 10 = -5*s + 2*f, -40 = -5*s + 4*f for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 49021879 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of v**6 - 3049*v**3 - 168*v**2 + 2*v + 6.\nAnswer: 120*v**3 - 18294","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2))**1\/((u*u*u**7*u*u*u)\/(u*u**4)) assuming u is positive.\nAnswer: u**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 5*q = 181, 3*x = -3*q + 118 + 14. What is the third derivative of x*d**3 - 45*d**2 + 2*d**5 + 8*d**2 + 5*d**3 wrt d?\nAnswer: 120*d**2 + 264","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -a + 8. Suppose -3*z - 2*k = 66, -z = -4*k + a*k + 22. What is the common denominator of 2 + 3\/(66\/(-50)) and z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 14002*t - 12. Let u(h) = 14002*h - 13. Let i(x) = 3*r(x) - 2*u(x). Let o be i(5). What is o rounded to the nearest ten thousand?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + v + 2 = 0, -2*v - 10 = -5*o - 3. Suppose 4*s = 0, s = 2*z - 4*s + 10. Let d = o - z. Is d a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:01 AM and 7:25 PM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 73*o**4 - 5*o**3*u + 2*o**2 + 130*o*u - 3*u wrt o.\nAnswer: 1752*o - 30*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 81 = 5*y, j + 2*j + 5*y - 59 = 0. Let a(p) = p**2 - 11*p - 133. What is the remainder when a(22) is divided by j?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2134918 a multiple of 73?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/1617 and -54\/847.\nAnswer: 17787","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 - (-39)\/(-33)) + (-96)\/(-44). Solve -2 = -4*z + 2*p, -2*z - j*p - p = 11 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 519 and 9?\nAnswer: 1557","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the first derivative of -o**6\/6 - 26*o**5\/5 - o**3 - 3*o**2\/2 - 25. What is the third derivative of i(g) wrt g?\nAnswer: -60*g**2 - 624*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -974 - -1171. Which is greater: 196 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-5 + (sqrt(117) + 1)**2*-1 + sqrt(26)\/(-3*(sqrt(8)\/sqrt(4) + sqrt(2))) + 1).\nAnswer: 37*sqrt(13)\/3 + 244","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0005931375 to four dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 6*z - 3*q = 30386, 22783 = 3*z + q. What is the tens digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -29 - -33. Suppose 2*q = -2*l, 0*q = p*q - 5*l. Suppose -5*d - 5 = q, -3*y - 2*y + 3*d + 1058 = 0. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2105 - 381 = 431*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 385*s - 388*s - 3 + s**2 + s**2 in the form v*s**2 + q*s + o and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/12 - (-1)\/11)\/(10354\/(-186) + 55)?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -2*o**2 + o + 7. What is k(3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l**3 + 304*l + 960 = 0 for l.\nAnswer: -6, -4, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -59*b. Let a(z) = -8*z + 5. Let m(q) = 15*q - 14. Let l(g) = 43*g - 40. Let v(r) = 6*l(r) - 17*m(r). Let i(u) = -2*a(u) - 5*v(u). Calculate x(i(p)).\nAnswer: -59*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -184206187.7 rounded to the nearest one hundred thousand?\nAnswer: -184200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*g + 0*g - 3*g)*(0 + 0 + 2)*(-1 - 1 + 1)*(2 - 2 - 3) to the form j*g + c and give j.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -h + 5*h + 26, o + 15 = -5*h. Let l = 13 - o. Let m = l - 4. Calculate the greatest common divisor of 44 and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*d = 5*d + 5*g - 27, 180 = 5*d - 2*g + 223 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 79\/2 of a year?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*y + 14*y = 48. Let d(j) = 33*j - 3. Let o be d(3). What is the greatest common factor of o and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 17166637.53us?\nAnswer: 0.000028383990625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the third derivative of v**7\/2100 - v**6\/900 - v**5\/300 + v**4\/60 + v**3 + 2*v**2. Let k(m) be the first derivative of a(m). Factor k(c).\nAnswer: 2*(c - 1)**2*(c + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110011111010011101 + 11101001?\nAnswer: -110011110110110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-n**2 - 2*n**2 + 6*n**2)*(0*n - 3 + 7*n - 2*n) to j*n + y + m*n**3 + k*n**2 and give k.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 10779978 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xojrjxrxxoxoxozex. What is prob of sequence ox?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1206 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 9597569 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 35\/3*1290\/25 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.5 (b) 0.1 (c) -1\/4 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1938239 is divided by 249?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14 + 26. Suppose -g + 5*v + 84 = 4, -112 = -g + 13*v. Calculate the greatest common factor of g and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -9*c + 22. Let a(b) = -5*b + 11. Let h(f) = -5*a(f) + 3*y(f). Let t(m) = m - 4. Let x be (120\/100)\/(2\/5). Give x*h(k) + 8*t(k).\nAnswer: 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 548*t - 2147. Let q be n(4). Solve -q*f = -19*f - 52 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 39, 1\/38, -4\/15?\nAnswer: 39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16 + -10. Suppose 4*x + 18 = p + 2, -18 = -p + 5*x. Let r be (-32)\/j*(-30)\/p. Solve 0*t + r = 5*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-4704)\/40)\/(-14)*(-10)\/(-4). Let j(b) = 10*b**2 - 2*b - 1. Let k be j(-3). Let o = k + w. Is o a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1007 + -1007.0003815. What is c rounded to 4 decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2163*u**4 - 102*u + 102*u)*(-2 - u - u + 3).\nAnswer: -4326*u**5 + 2163*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -48067.134 to the nearest ten.\nAnswer: -48070","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -32 + 32.08. Let n = w - 12.68. Round n to the nearest integer.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**3 - 42*s**2 - 54*s - 563. What is f(-41)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 3.82*0.0837\nAnswer: 0.319734","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15.2 + -1.2. Let m = z + -16. Let w = m + 1.7. Which is the third smallest value? (a) 3\/5 (b) -4 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -154*z + 71*z = -64*z + 209 for z.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -453555 + 0?\nAnswer: -453555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*n**3 - n**3 + 3*n**3)*(5 + 0 - 3) - 4*n**2 - 2*n**3 + 4*n**2 to u*n + h*n**3 + i*n**2 + d and give h.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4330 - 22*f + 4330.\nAnswer: -22*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n + 5. Let u(q) = 3. Determine 4*b(y) - 7*u(y).\nAnswer: -4*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 3*g**3 - 2*g**2 + g. Let x be b(1). Put x, 3, 1 in ascending order.\nAnswer: 1, x, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*v + 10. Suppose -3*a = 2*p - p + 2, 4*p = -v*a - 8. Solve a*m + 5*f + 40 = -5*m, 5*m - 2*f + 5 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -77*f**3 - 4*f + 3. Let t(v) = 386*v**3 + 22*v - 14. Determine 11*l(m) + 2*t(m).\nAnswer: -75*m**3 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.34 - -0.04. Let p = 3 + -3.2. Suppose 4*k - 10 = -5*b, 3*k + 0*k - 4 = -2*b. What is the third smallest value in p, z, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1737790049 to 4 decimal places.\nAnswer: 0.1738","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*a - 4, -9997*y + a + 46 = -10000*y for y.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(847)*1)**2*5.\nAnswer: 4232","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes before 5:54 PM?\nAnswer: 6:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 0*h = 531. Let s = -125 + h. Let d = -41 + s. What are the prime factors of d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(119)*1 - -1*-2*sqrt(119))\/(-6*1*(sqrt(7) - (sqrt(7) - sqrt(112)))).\nAnswer: sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1558 and -0.4?\nAnswer: 1557.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -5*sqrt(98)*-2.\nAnswer: -5 + 70*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**3 + 23*c**2 + 71*c + 24. What is the tens digit of k(14)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9853 + -9854. Let o be -5 + (2 - 0\/1). Sort 0, o, x, -4 in increasing order.\nAnswer: -4, o, x, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23642641 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 45 = -0*f + f, 4*f = 3*y - 4. Let o = 10 - y. Suppose -o*q + 250 = -18. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 48\/(-6)*(-3)\/6. Let y(l) = l**2 - 7*l + 4. Give y(t).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.551 + -0.861. Let d = 21.7 - 19.39. Let b = d + j. What is the nearest to 0.1 in -2\/3, 1, b?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(108) + ((sqrt(108) + -2 + sqrt(108))**2 - sqrt(108))) + 4 + (sqrt(147) - (1 + sqrt(147)))*5*-6)*2*6.\nAnswer: -2304*sqrt(3) + 21336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*u = 24011 + 114821. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 107*h - 58. Let l(f) = -27*f + 15. Give 22*l(o) + 6*y(o).\nAnswer: 48*o - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, b: 3, a: 2, c: 1}. What is prob of picking 1 c and 1 b?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -13*y + 181. Let z be i(14). Let x be z*394\/2*(-7 + 8). Is x smaller than -197?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3977651924?\nAnswer: 2, 23, 47, 919901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -4\/5*k**2 + 16\/5*k + 0 = 0. What is k?\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/2471, 0.09, 7992?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -515650 = -3997*u - 3966*u + 352317 for u.\nAnswer: 109","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/929? (a) 3 (b) 61 (c) 0.3 (d) -5\/4 (e) 23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1.7855 and -0.3.\nAnswer: 1.4855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -11d5 + 20?\nAnswer: -11b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 2464 - 4796 - 23*q + 2496. Calculate x(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the third derivative of p**4\/24 + 24*p**2. Let t(f) be the second derivative of -7*f**3\/6 + 3*f. Give g(t(m)).\nAnswer: -7*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(-1)*(420\/(-550))\/(-7)\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -40 - (-1 + 2) - (-142 - -209 - 72)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 67, 4, -2, -1\/3 in increasing order.\nAnswer: -2, -1\/3, 4, 67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -364688*m**2*o**2*y - 7*m**2 + 13*m*o**2 + 327*o**2 wrt y.\nAnswer: -364688*m**2*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 2*p. Let h(j) = 2*j - 2. Let z be h(3). Let c = -2 + z. Let w(t) = -5*t - c*t + 4*t. Give w(v(r)).\nAnswer: -6*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 311, -389, -1563, -3211, -5333, -7929, -10999?\nAnswer: -14543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 - -4. Are u and 14 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -13\/241 (b) -3 (c) -1\/3 (d) 0.4 (e) -12\/169\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 54 = 150. List the prime factors of -1*(9\/(-3) + o).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 420 and 9380.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*q**2 - q**3 + 6*q**2 - 13*q**2)*(-2875 + 2875 + 399*q).\nAnswer: -399*q**4 + 1596*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -226*a + 1342 + 60 + 1310 = 0. Solve -a*w + 401 - 461 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7178\/13 + -552. Which is the closest to -2? (a) -3 (b) -3\/2 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x = -20*x - 29*x + 901 for x.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67873 + 8473 = -15*u. Does 110 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*l - 1 + 1 - l - 2*l + 4*l + (-50 + 36 - 69)*(5 + 2*l - 5) in the form k + o*l and give o.\nAnswer: -162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13, 40, 83, 142, 217, 308?\nAnswer: 415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**2 + 2*g + 6. Let j(f) = 2*f**2 + 1. Let r be j(-1). Let c be k(r). Sort 0.1, -1\/4, c in increasing order.\nAnswer: -1\/4, 0.1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -45593469\/190 + 239965. What is the common denominator of -119\/40 and s?\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6)\/((sqrt(22) + 1*sqrt(22))\/sqrt(11)))**2 - (3*4*sqrt(12))**2.\nAnswer: -6909\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y**2 + 2*y - 2*y)*(-3*y**2 + 3 - 3) + 2*y**4 - 4*y**4 - y**4.\nAnswer: 6*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**2 - 7*g - 4. Let n be k(8). Suppose -209 - 203 = -n*w. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2, -138 in decreasing order.\nAnswer: 0, -2, -138","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -77 - -95. Suppose -3 = -t + 4*d - 7, 2*t + 5*d = n. Suppose 2*x = 4*x - t*u - 232, -x = -5*u - 104. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -52, 0.04, 2, 0.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -33*j**3 - j**2 - 2*j - 1. Let c be f(-1). Suppose -94 = 19*r - 21*r. Let v = r - c. Solve -5*q + 11 = -v for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 - -55450?\nAnswer: 55455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xbn when three letters picked without replacement from xssnvsnsbx.\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -5*((-24)\/(-5))\/3. Let q(t) be the second derivative of t**5\/20 + 2*t**4\/3 - t**3\/6 + 3*t**2 + 18*t. What is the tens digit of q(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 596 - 225. Is u a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0\/(-2) - 4) + -1. Suppose 19*g - 3*g = 32. Put n, g, -0.3 in increasing order.\nAnswer: n, -0.3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 7 = -b, -b - 6 + 3 = -2*j. Sort 85, 1, j, -4, 14 in descending order.\nAnswer: 85, 14, j, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 1302*l - 1289. Give a(1).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2182800 rounded to the nearest ten thousand?\nAnswer: 2180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-4*t + 59*t + 33*t)*(-2*t + 3*t**2 + 2*t) + (-4*t**2 - 3 + 3)*(0*t + 4*t - 3*t))*(2*t - 4*t + 4*t) to m*t**4 + a*t**2 + o*t**3 + y*t + n and give m.\nAnswer: 520","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -96*g**3 - 105*g**3 - 97*g**3 + 6990*g**4 + 6804*g**2 + 298*g**3 wrt g?\nAnswer: 167760*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/3132 and 13\/270.\nAnswer: 15660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**3 - 10*z + 9. Suppose -909*n - 70 = -923*n. Let x(i) = i**3 + 7*i - 6. Give n*u(t) + 7*x(t).\nAnswer: 2*t**3 - t + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**3 - 8*y**2 + 12*y - 19. What is h(4)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2231*c = -588*c + 3442 + 58992 for c.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1 (b) 18 (c) -15 (d) 3 (e) -47\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9320 + 1409*q + 345*q**3 - 9320 + 9937*q + 6435*q**2 + 4989*q + 5*q**4 = 0. Calculate q.\nAnswer: -33, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, -1164\/13, -4, -1, -4\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-38)\/(-16)*(-720)\/450*(-20)\/4?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 12, 14*k = 2*h + 11*k - 70. Suppose -f + 27*x - h*x + 9 = 0, 4*x = 20. Let d(r) = 12*r**3 - r - 2. What is d(f)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16537383.\nAnswer: 3, 911, 2017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63*q**3 + 114*q**3 + 142*q**3.\nAnswer: 319*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (21\/(-9))\/(1\/(-3)). Suppose -6 = -4*u + 2*m, -7*u - m + 4 = -2*u. Let s be (u - (-11)\/1)\/2. Solve 5*y - 4*j + s = 0, -n*y - 2*j = -2*y + 12 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = 2*q - q. Solve q = 5*w + 8 - 13 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-7)*y**8\/y)**(-26)\/((y\/(y**(-3)*y))**(-35))**(-50) assuming y is positive.\nAnswer: y**(-5250)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19885*d - 19885*d - 2*d**2 + 0*d**2 - 6*d**2.\nAnswer: -8*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -6*m**3 - 2*m - 2. Let f be i(-2). Let u = f + -31. Suppose -139 = -41*j + 25. Solve 5*d + 5*h - 45 = 0, 0 = -j*h + u + 1 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**2 - 33*k - 245. Calculate the lowest common multiple of 30 and p(-20).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v = 5*v + 66. Let o = v - 64. Suppose 3*x - 3996 = 4*s + o*x, 3*x + 12 = 0. Round s to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -2*h**3 + 26*h**2 - 11*h - 105. Let z be m(11). Solve -z*u + 257*u + 4 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*h + h**2 - 5*h)*(-2 - 1 + 1)*(-3501 + 1769 - 4444)*(0 + 1 + 1) in the form j*h**2 + n + r*h and give j.\nAnswer: 24704","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -577 + 2295\/4. Which is the closest to 0? (a) i (b) 1 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*z**(-23\/3)*z*z**(2\/17)\/z*z*z\/z**(1\/10)*z**(-24) assuming z is positive.\nAnswer: z**(-14611\/510)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:51 PM and 11:51 PM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 45412 plus 67?\nAnswer: 45479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*h - 2*h + 854. Let o = 1 - -3. Suppose 63 + h = o*r. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = 5*j + z + 4, -z + 19 = 4*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.5573464 - -1.65734639. Let v = q - 0.1. What is v rounded to 7 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1031594887 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -3*n**2 + n + 4. Suppose -3*z + 3 = 18. Let r be b(z). Let y = 134 + r. Calculate the remainder when y is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 675947 or 675952?\nAnswer: 675947","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1524*t**2 - 9*t**4 + 7758*t**3 - 345*t**2 - 7807*t**3 + 5*t**4 wrt t?\nAnswer: -96*t - 294","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*s - 2 - 8 + 13 + (-2 + 5 - 2)*(6*s - 2*s + 0*s).\nAnswer: s + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9 and 234.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -26688 divided by -5\nAnswer: 26688\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 956 - 506. Calculate the highest common divisor of o and 40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the second derivative of 74*s - 23\/14*s**3 + 0 - 1\/10*s**6 + 1\/28*s**4 + 69\/140*s**5 + 9\/7*s**2. Suppose f(b) = 0. Calculate b.\nAnswer: -1, 2\/7, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2836 + -19856\/7. Let z = 28 + -111\/4. Which is the closest to -8? (a) z (b) -1 (c) j (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -14*z + 195. Give h(13).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -3*t - 31. Let w(h) = -2*h - 16. Let o(i) = 3*v(i) - 5*w(i). Let y = -248 + 259. Determine o(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4\/(-12))\/((-1 - -3)\/(-30)). Let g(z) be the third derivative of 0*z**s - 2\/21*z**3 + 0*z - 1\/420*z**6 + 1\/28*z**4 + 0 - 6*z**2. Factor g(m).\nAnswer: -2*(m - 1)**2*(m + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111 (base 6) to base 5.\nAnswer: -133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2105796, 2105776, 2105740, 2105682, 2105596?\nAnswer: 2105476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l**4*l)**(-3\/5))**(-33))**(-4))**(-1\/5) assuming l is positive.\nAnswer: l**(396\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**2 + 2*s - 7. What is x(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence alab when four letters picked without replacement from jbajbwwbjaalbbjbb.\nAnswer: 1\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 197 + -89. Is d a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b**2 + 321*b - 2100 = 0.\nAnswer: 7, 100","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 23136 and 78?\nAnswer: 300768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 58\/55 and 48\/(-1920)*-1*194.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4881a2b + -5?\nAnswer: 4881a26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8049399 to the nearest integer?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5550229?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 289, 593, 915, 1261, 1637, 2049, 2503?\nAnswer: 3005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 260*f**3 - 262*f**3 - 165838*f + 331712*f - 165874*f.\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*l - 4*l - 4*l**2)*(2 - 2 - 7) + (-4*l**2 + 2*l**2 + 0*l**2)*(0 + 2 - 3 + (-3 + 2 + 3)*(2 - 1 - 3) + 2 + 1 - 2).\nAnswer: 36*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4259.3 - -4309.29984. Let t = h - 50. What is t rounded to five dps?\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-11))\/((o\/o**(-1\/16))\/o*o*o)*o**(4\/5)*o*o**1\/o assuming o is positive.\nAnswer: o**(-821\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2092 + 2086 + (-2 - (-2 - (-1 - 2)))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4458380 to the power of 1\/3, to the nearest integer?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**2 - 12*q - 5. Suppose 0 = -7*i + 10*i - 36. Calculate y(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -2 + 8 - 6*j + 16*j. Suppose 0 = 2*u - 3*u + 5. Is 21 a factor of a(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 122, 344, 950, 2132, 4082, 6992, 11054, 16460?\n\"Answer: 32*o**3 - 2*o + 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -258419*p**2 + 183*p - 14. Let n be s(6). What is n rounded to the nearest 1000000?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 45 + 18 = 0. Suppose 2*r - i = 5*u, 3*r + u - 83 = -3*u. Suppose 0 = 4*n + n - 50. Calculate the remainder when r is divided by n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is a + 18b?\nAnswer: 197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 12 in 1\/4, 0.5, -29?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -223 - -287. Calculate the greatest common factor of 736 and p.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**2 + 10*s - 29. Let i be j(-13). Let l = 23086 + -8302. Suppose -9746 = -i*o + l. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -51*z - 40 - 113 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 11623?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**2 + 11*r + 5. Let y be q(11). Suppose -a - 2*a = -y*d + 42, -5*d + 4*a + 41 = 0. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v*v*v**7)**29\/(v**(-4\/11)\/((v*v\/(v\/v**(4\/17)))\/v)) assuming v is positive.\nAnswer: v**(54342\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1*2 + 10\/2. Let d(t) = -12*t + 170. Let j be d(14). Suppose 53 = j*c + 3*k, r*c - k = 2*c + 39. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60)\/sqrt(16))\/(sqrt(3) - (-3*sqrt(24))\/sqrt(8)).\nAnswer: sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5.95 - 0.05. Let w = t + 4. Let d = -4 - w. What is the closest to 0 in d, 1, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**29*l**(-33))**(6\/7) assuming l is positive.\nAnswer: l**(-24\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide (8 + 430\/(-40))\/((-2)\/40)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-49 - (-206112)\/4224)*(-3)\/((-9)\/(-16)).\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 1192 = -r, -r = 158*s - 154*s - 1240. What is the highest common divisor of 44 and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22\/7, -2, -5, 0.3, -2\/153 in descending order.\nAnswer: 0.3, -2\/153, -2, -22\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 126720 and 28512?\nAnswer: 1140480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4283583487.\nAnswer: 347, 12344621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + 4 + -9 - -30?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-18)*-3*166770\/1635.\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 380853170?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 - 16. Let g(i) = 38*i**2 + 21*i + 7. Let y(v) = 27*v**2 + 12*v + 5. Let w(r) = -5*g(r) + 7*y(r). What is the hundreds digit of w(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1547 less than 9973243159?\nAnswer: 9973241612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1190167, 2380361, 3570555, 4760749, 5950943, 7141137?\n\"Answer: 1190194*t - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 596641 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -13, -20, -33, -52, -77?\n\"Answer: -3*j**2 + 2*j - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -22 - -55. Let q = -37 + d. What is the biggest value in q, -5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8.608, 2, -15.\nAnswer: -15, 2, 8.608","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 38433677 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**2 + 5*j. Let a be t(-5). Let g(s) = -s**2 - s + 11. Suppose 0 = 6*c - 2*c - 84. What is the remainder when c is divided by g(a)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**3 - 148*r**2 + 200*r + 130000.\nAnswer: -2*(r - 26)*(r + 50)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1426453372.\nAnswer: 2, 356613343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 274214?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (11*m**2 + 1 - m**2 - m**2)*(-2 + 4 + 0) + 298*m**2 + 95*m**2 + 305*m**2 to the form g*m**2 + q + y*m and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(-7)\/(-224)*3*4\/(-6).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the first derivative of 4*k**3\/3 - k**2 + 681*k + 23. What are the prime factors of j(0)?\nAnswer: 3, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * -1.9\nAnswer: 0.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.1 + 0.9. Let i(o) = -23*o + o**2 + 2*o**3 + 42*o - 4*o**2 - 18*o. Let c be i(1). What is the third biggest value in w, c, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -303083239 plus 0.2?\nAnswer: -303083238.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of -134306470292031 and -0.4.\nAnswer: -134306470292031.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -11522 less than or equal to -1\/440?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 2448 divide 319040496?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/5)\/(5\/25). Let v = 5 - 5. Put 3, m, v in increasing order.\nAnswer: v, m, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 + 10*b**2 - b + 12. Let s be n(10). Suppose x - 3*f - 733 = 0, s*x - 1470 = -0*x + 4*f. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.3187 and 9696.757622.\nAnswer: 9697.076322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lmallmmmmlllllllllll. Give prob of picking 1 m and 1 l.\nAnswer: 7\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 4 = -s, 0 = -4*x - 999*s + 997*s - 2 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -1, 2, 24, -2\/5, -2831, 3\/4, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**3 - 560*p**2 - 5200*p.\nAnswer: -4*p*(p + 10)*(p + 130)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17469641?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/8407893 and -107\/52.\nAnswer: 33631572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + 3*j - 16 = 0, 5 + 5 = 5*j for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 160 divide 29982?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -15*l**2 + 1. Let w(a) = 980*a. Give w(s(o)).\nAnswer: -14700*o**2 + 980","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 2 g when four letters picked without replacement from {g: 2, d: 1, m: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5 - 3*f**3 + 1 - 1 wrt f.\nAnswer: -9*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes after 7:17 PM?\nAnswer: 10:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*p + 5*p - 4*p)*(-p - 8*p + 2*p)*(6167*p + 9 + 1 - 6162*p).\nAnswer: -350*p**3 - 700*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -182?\nAnswer: -182","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -ba (base 15) to base 7.\nAnswer: -340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 32 and 713824.\nAnswer: 713824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1920 divided by 30\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 61406 - 285260.6013.\nAnswer: -223854.6013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -20, -10, -3\/7, -3\/11, 0.04 in increasing order.\nAnswer: -20, -10, -3\/7, -3\/11, 0.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -144*a + 11 - 9 - 2 in the form c + s*a and give s.\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 461.\nAnswer: -1\/461","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 141350689 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 381 - 129 = 9*b. Which is greater: 48 or b?\nAnswer: 48","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1532 is divided by 356?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 + -9 - 5) + 2 + (31 - 8)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -2638 + 483. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 240406 by -30.\nAnswer: -120203\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -7*b**3 - 12*b**2 - 17*b - 2. Let i(r) = -11*r**3 - 18*r**2 - 25*r - 2. Let m(n) = -8*a(n) + 5*i(n). Solve m(g) = 0 for g.\nAnswer: -3, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 578 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -275*n + 0 + 0.\nAnswer: -275*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r + 3. Let z(f) = 0*f + 2*f + 0 - 4*f - 5. Let l(u) = 11*a(u) + 6*z(u). Calculate l(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 + 21*x**2 + 18*x + 15. What is the remainder when h(-20) is divided by 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -4598, 3\/2, -5?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(((-1)\/(-90))\/((-3)\/(-9))). Suppose -s = -3*f + 33. What is the highest common divisor of 27 and f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 9*v**2 - 42*v + 5. Let x(c) = -4*c**2 + 21*c - 2. Give 2*a(l) + 5*x(l).\nAnswer: -2*l**2 + 21*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -7*n + 0 + 6 - 7*n**2 - 26*n**2. Let w be (-30)\/9*(-12)\/10. Let k be m(w). What is k rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 3, 0, 2\/5, 8\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 321634?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3171 - -3167. What is the closest to -0.1 in 0.4, -2, m?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in twenty-one fifths of a microgram?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.6 - 1.6. What is the nearest to 1 in 0.2, m, -1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 121166 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -61789 take away -3191.74?\nAnswer: -58597.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 5*c - 60, 4*c - 5 - 64 = 5*k. Suppose 3*r = -1 - c. Let o be (-4)\/1 - (-2)\/(-4). Which is smaller: o or r?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21314329 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -5 (b) -7\/17 (c) -0.03 (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 92\/(-28) + (-36)\/(-126). Let k = 0.12 - 0.05. Do k and h 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 308554635 to the nearest integer?\nAnswer: 17566","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 182 and 290871?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -3 + 2 + 3*l - 3 + 0. Let j be o(3). Suppose -j*y + 160 = 2*r, 3*r + r = 0. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1204200222 (base 5) to base 2\nAnswer: -1010101100010111110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -4*w**2 - 3*w - 9. Let p be l(-5). Let a = p - -144. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4.2 * -1103\nAnswer: 4632.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 8661214 to the power of 1\/3, to the nearest integer?\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.15 - 7.15. Let m = 8 + -14. Which is the closest to m? (a) -0.5 (b) -1 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, n: 4, t: 1, b: 1}. Give prob of picking 1 x and 1 t.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -240000 rounded to the nearest ten thousand?\nAnswer: -240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 0.4 (b) -0.1 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + 4*g + 4 + (3*g + 5*g + 0*g)*(4 + 2 - 5).\nAnswer: 12*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1212111010110 - -1202?\nAnswer: 1212111012012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/7 and 4158\/660*1\/((-3)\/(-4)).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 16) in base 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 3*z - 11. Calculate v(-6).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -49401, -45948, -42495, -39042, -35589?\n\"Answer: 3453*q - 52854","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 929 divided by -451543\nAnswer: -929\/451543","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -2\/9 (b) -16742 (c) 2 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1340187?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-48)\/28)\/(200\/125 + (-5212)\/3220).\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand d**2 + 0*d**2 - 4*d**2 + (2*d**2 + d**2 - d**2)*(3 + 0 - 2) + 8*d**2 - 5*d + 5*d + (-d - 1 + 1)*(0*d + 0*d + d) + d**2 + 6*d**2 - 3*d**2.\nAnswer: 10*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p - 9*f = -14, -4*f - 66 + 76 = 2*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (53 - 60) + 2 + -2 + 4\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + 6 = f - 2*f, -v = -4*f - 3 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 442068555?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(75) + (-1 + sqrt(3) - sqrt(3)) + -5 - (5 + sqrt(36)\/(sqrt(24)\/(sqrt(4)\/sqrt(2)))).\nAnswer: -11 + 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 156583414?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*k**3 - k**2 + k**2 - 152*k**3.\nAnswer: -123*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8507329\/80 + 106343. Find the common denominator of -7\/24 and u.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5462*s - 34449*s - 6004*s - 21843*s - 11231*s.\nAnswer: -68065*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-83*h**2 + 83*h**2 + h**4)*(0 + 0 + 1) + 2*h**4 - h**4 + 8*h**4 to the form j*h**3 + l*h + m + n*h**4 + r*h**2 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.5603665772 to 1 decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pn when two letters picked without replacement from {n: 1, p: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) -1 (b) -1\/4 (c) 44\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + 3*l + 18, 44*l - 41*l - 36 = -3*r. Let d(w) be the second derivative of w**3\/6 + 15*w**2 + 2*w. List the prime factors of d(r).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 710 divided by -776.\nAnswer: -355\/388","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -411012258 - -10.1.\nAnswer: -411012247.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 23873209 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2634102 by -3.\nAnswer: 878034","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1631720 and 96050.\nAnswer: 138696200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 8522.6672 to zero decimal places.\nAnswer: 8523","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 - 430 - -188 - (-9 - (-3 + 3))?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4424)\/(-18) + 42\/189. Suppose -2*a = a - 4*r - 249, 3*a - 5*r = g. What are the prime factors of a?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -136, -273, -410, -547, -684?\nAnswer: -821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 912 + -644. What is the hundreds digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*-6*82\/6027*49\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 744*f**3 + 749*f**3 + 398*f**3.\nAnswer: 1891*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 300*f - 4736. What is g(15)?\nAnswer: -236","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 11*k**3 + 2*k - 7. Let j be q(4). Let r(i) = -14*i - 16. Let u be r(-3). Suppose c + u = j. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 - -1.05. Let y = f - -0.07. What is y rounded to one dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 426156.\nAnswer: 2, 3, 17, 2089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.35 * 18.6541\nAnswer: 6.528935","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1315, -2148, -2981, -3814?\n\"Answer: -833*x - 482","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -390327348 by -4.\nAnswer: 97581837","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 - -8 - (1 + (-16)\/4). Suppose q = 2*p - 2. Suppose 4*z - 19 = -p. Solve -1 = -2*x + z for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43831 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 19, 90, 219, 406, 651, 954, 1315?\n\"Answer: 29*d**2 - 16*d + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the first derivative of -k**2 - 6*k + 19. Let b = 28 - 8. What is the remainder when b is divided by w(-9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -27, 2\/43, 5, -0.1?\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1311*y + 379*y - 12116 = 0 for y.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -5*z**2 - z - 2. Let j = 155 + -155. Suppose j = -m - 19 + 21. Give i(m).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2399.556 millimeters in kilometers?\nAnswer: 0.002399556","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*a - a**2 + 16 - 27 - 10 to s*a + g + b*a**2 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47 - 4*h**2 + 27 - 74 - 13*h**2 + 7*h**2.\nAnswer: -10*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -259 (b) 0.8 (c) -2\/15 (d) -47 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 54*r**3 + 2*r**2 - 2*r - 2. Let m(v) = -107*v**3 - 5*v**2 + 5*v + 5. Give -4*m(f) - 10*n(f).\nAnswer: -112*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 32\/144 - (-2)\/(-9). Solve 4*j + h*j = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 12\/(-9)*((-135)\/(-12))\/(-5). Suppose 9\/4*r**5 - 3*r**4 + z*r**2 + 0 - 3\/4*r - 3\/2*r**3 = 0. What is r?\nAnswer: -1, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10975 + 12669 + 0*m**2 + m**2 - 23644.\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -303400 (base 7) to base 11\nAnswer: -35891","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/12238 and -13\/53172.\nAnswer: 1541988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50 + 195944*g - 2*g**2 - 97961*g - 97983*g.\nAnswer: -2*g**2 + 50","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 120722812 or 120722811?\nAnswer: 120722811","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 48\/(-36) - 9\/(54\/(-20)). Suppose 34*y + h*y = 90756. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 4.736055ml?\nAnswer: 0.004736055","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 68 - 40. Suppose 0 = 5*a + 20, 4*l - 2*a + h = -a. Let n(i) = i**2 + 9*i + 4. Calculate n(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**3 - g**2 - g + 1. Let j be a(-2). Let u = j + -18. Let p = u - -14. Solve p*f - w + 1 = 0, -2*w + 3 = -5*f - w for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 27 + -25. Suppose 2*z + q*x - x = -11, 3*z + 2*x + 17 = 0. Let y(k) = k**3 + 4*k**2 - 7*k - 4. Determine y(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + sqrt(19) + sqrt(19) + -1 + -1)*-3 + 3 + sqrt(19) + sqrt(171)*-1.\nAnswer: -11*sqrt(19) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 108 = 301*o - 298*o, 2*j = -6 for o.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -419*g + 3870 = -409*g. List the prime factors of g.\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*n + 37 = -54*n - 12 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63764516 is divided by 1124?\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1352600 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-22)*(168 - (-45 + 92)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 + 7 + -1*2. Suppose 2*i + i - 274 = w, -369 = -4*i + o*w. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 916\/9 - 102. Let o = -8\/9 - p. Suppose 0 = -3*s - 0*s. Is o less than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 4 + 25 = 4*m, 0 = 3*m + 3*i - 15 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72)\/sqrt(294))**2 + sqrt(12).\nAnswer: 12\/49 + 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(99)\/(-2*sqrt(9)*6) - (sqrt(121)\/(sqrt(22)\/sqrt(2)) - (sqrt(11) + (sqrt(11) - (0 + sqrt(11))) + 3))**2.\nAnswer: -9 - sqrt(11)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes after 5:39 AM?\nAnswer: 1:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 542*k + k**2 - 588*k + 5*k**2 to the form r*k + y + g*k**2 and give g.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17 - -33. Calculate the remainder when (-2)\/4*(-105 - -13) is divided by n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 minus 8455?\nAnswer: -8454.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*s + 2*s - 2*s**2)*(-7578*s - 7460*s + 1393*s)*(1 - 2 + 3) as y*s**3 + o*s + f*s**2 + n and give y.\nAnswer: 54580","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*y**2 + 11*y**2 + 4*y**2 - 30*y**2 + 5*y**2.\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.2042908 months to millennia.\nAnswer: 0.0001836909","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -113, -1333, -4867, -11927, -23725, -41473, -66383, -99667?\n\"Answer: -202*l**3 + 55*l**2 + 29*l + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 190 + -189.919. Let k = d + -0.038. Let w = -1.043 + k. What is the closest to 1 in w, 0.01, -0.4?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7238 or 11948?\nAnswer: 11948","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 659 is divided by 161?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000406772 rounded to seven dps?\nAnswer: 0.0000407","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add 9.19 and -0.383326.\nAnswer: 8.806674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -4*k**3 - 341676*k**2 - 1366656*k - 1366640 = 0.\nAnswer: -85415, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -315*t**2 + 5 - 354*t - 5 + 6 + 315*t**2 - t**4 as d*t**2 + z*t**3 + y + r*t**4 + k*t and give y.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.79 - -120.\nAnswer: 119.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-11) + 229031\/(-5687).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(225)*5 + sqrt(54)\/(sqrt(6)*-3))\/(sqrt(27)\/(sqrt(72)\/(sqrt(8) + sqrt(40)\/sqrt(5))))*5)**2.\nAnswer: 34225\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-70)\/10*20\/6*30\/70*-4?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 35*c**3*t**2*v**2 - 2*c**3*t*v**2 - c**3*v**2 - 20*c**2*t*v**2 + t**2*v**2 - v wrt t?\nAnswer: 70*c**3*v**2 + 2*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2370 - 162*k - 2370)*(-7*k - 3*k + 0*k) + 2*k**2 - k**2 + k**2 + (-5 + 5 - 3*k)*(5*k - 3*k - 3*k) to the form h*k**2 + w*k + x and give h.\nAnswer: 1625","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(19) + 0) + sqrt(19) + sqrt(19))*-2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**4 - 5058*a**3 - 4258824*a**2 - 1189601120*a + 3607269504.\nAnswer: -2*(a - 3)*(a + 844)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*g + 2*g - 3*g)*(-1 + 1 - 3)*(-134 - 103 + 432)*(-3*g - 4*g + 5*g) in the form a + v*g**2 + j*g and give v.\nAnswer: -3510","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 + -1)*(-4)\/4. Suppose -s*x + 145 = -5. What is the highest common factor of x and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-63)\/(-2)*2 - (144\/(-336))\/((-18)\/(-168)).\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**2 + 0*q**2 - 3*q**2. Let x(i) = 2*i**2. Let m(c) = -6*c**2. Let v = -6 + 4. Let u(j) = v*m(j) - 7*x(j). Calculate u(b(t)).\nAnswer: -8*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -548\/9*h + 2\/9*h**2 + 37538\/9 = 0. What is h?\nAnswer: 137","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 + 8. Let y = 0.3 - k. Let v = -1 + 3. Which is the closest to 0? (a) y (b) v (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 14080551 and 13?\nAnswer: 14080538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26, 64, 112, 176, 262?\nAnswer: 376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -115470\nAnswer: -115467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 67 and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 6*q + 20735 = 8*q, 4*q - 4 = 0. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 8804?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (86 - 55 - 54)*(15 - 15 - d) + 3 - 2*d - 3 + (-3*d + 0*d + d)*(-1 + 2 + 0) as h + j*d and give j.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes before 10:57 PM?\nAnswer: 3:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -7 - -10?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 104 a factor of 532636?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21349?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 320297839?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9144*f**5*x + 378*f**4 - 8917*f**2*x + 167*f wrt f?\nAnswer: 548640*f**2*x + 9072*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) -6 (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -363759 divided by -121253.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -153, -642, -1585, -3084, -5241?\n\"Answer: -17*f**3 - 125*f**2 + 5*f - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (546\/(-91))\/((-6)\/10).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -52? (a) 27997 (b) 2 (c) -0.06 (d) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5915938?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 2*u**3 - 6*u**2. Let a be z(3). Solve 3*i + a = -15 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*a**4 - 196896*a**3 + 2422805272*a**2 + 4846201248*a + 2423199076.\nAnswer: 4*(a - 24613)**2*(a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 395 - 369. Solve u*l = 32*l + 30 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 - -10 - (22 + -18). Solve -2*h = p, -3*h = -v*p - 18 - 8 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 337 by -38.\nAnswer: -337\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -160195, -160214, -160233, -160252, -160271?\n\"Answer: -19*j - 160176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -2*i + 4*i - 378, 4*i = 3*a + 808. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 202 and 505?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 23*h - 57. Let c be f(3). Suppose -20*k - c*k = -25344. What is the tens digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/408758100 and 31\/30990.\nAnswer: 408758100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 2*w + 194 = 0, 4*g + g + 2*w - 485 = 0. Suppose 3*f - b - 101 - 2 = 0, -5*b = 3*f - g. Let m = f + -21. List the prime factors of m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, -10\/9, -63, 203, -18, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the first derivative of -4*z**3\/3 + 20*z**2 - 100*z - 1. Factor h(b).\nAnswer: -4*(b - 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -140 - -140. Let d be 1\/2*(4 - 0). Solve p = -3*n - 13 - d for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(560)*-2 - sqrt(560) - sqrt(560)) + sqrt(560))*4)\/sqrt(10))\/(sqrt(48)\/(-4*sqrt(54))).\nAnswer: 144*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/88 and 53\/319?\nAnswer: 2552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 5*a + 35 = 0, 2*o - 3*a + 1 = 3. Let l(d) = -3*d - 3. What is l(o)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 692 and 110?\nAnswer: 38060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1147744)\/(-4017349) + 8\/(-28). Let t = 5404481869\/20086745 - a. Let z = t + -269. Is z < 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 581 a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 14 - 30 - -11?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 13 + 0\/(1 + 0). Let j(m) = 3*m + 56. Let h be j(5). Let y = h + s. Calculate the greatest common divisor of 56 and y.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((279\/18)\/(-31))\/(1\/(-6))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1831, -1838, -1845, -1852, -1859?\n\"Answer: -7*z - 1824","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -20 - -23. Let n(r) = r**3 + 3*r**2 - 9*r - 15. Let u be n(-4). Suppose 13 + u = v*i. Calculate the greatest common divisor of 2 and i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 560748 = -2*v, 5*b = -4*v + 10*b - 1121496. Let a = -550374 - v. Round a to the nearest 10000.\nAnswer: -270000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2*g - 2)*(-318 + 210 - 268) in the form m*g + n and give m.\nAnswer: 752","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 38841189?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 3) in base 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 45\/6*(-21)\/28*(-20)\/(-150).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 257699 a multiple of 242?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -193435, -193443, -193451, -193459, -193467?\n\"Answer: -8*d - 193427","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 59\/68 - -733\/1428. Calculate the common denominator of -65\/56 and b.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -33 - 14. Let z = l + 43. Let x(h) = 5*h**2 + 5. List the prime factors of x(z).\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -764.38107 to zero decimal places.\nAnswer: -764","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 41\/26 - 1\/13. Solve -m*y**3 + 0*y**2 + 0 + 0*y - 3\/2*y**5 - 3*y**4 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 409 is divided by 70.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 322264471 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3094668 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 0*o = 2*v + 51, -3*v - 2*o - 57 = 0. Let a = v + 23. What is the common denominator of -69\/8 and 2523\/(-232) + 1 + a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5245?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**2 + 8*n - 8. Let c be r(-11). What is the greatest common divisor of 5 and c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (4 - 10 - -6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) -2\/9 (c) -0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35896*m - 368 = -35919*m for m.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1348 by -341.\nAnswer: 1348\/341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.015 + -0.004. Let t = i + -0.96. Round t to 1 dp.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 914027*f**2*v**2 + 2*f**2*v + 2*f*v - 44*f - 20*v wrt v.\nAnswer: 1828054*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 96*z - 16. Suppose 4*b - 18 = 2*n, b + 3 = -2*b - 4*n. Let o(k) = -19*k + 3. Let v(i) = b*c(i) + 16*o(i). Let w(a) = 2*a. Determine w(v(s)).\nAnswer: -32*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**4\/3 + 340994*v**3\/3 - 113664*v**2.\nAnswer: -2*v**2*(v - 170496)*(v - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2618*v**2 + 986 + 2616*v**2 - 243 + 2*v**3.\nAnswer: 2*v**3 - 2*v**2 + 743","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the third derivative of k**7\/1260 - k**6\/144 + k**5\/40 - 7*k**4\/144 + k**3\/18 + 8*k**2. Let v(a) = 0. What is a?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*t + 8*t + 5*t + 6*t.\nAnswer: 9*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 9) to base 15\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 5*y**2 - 27*y + 8. Let o(h) = 15*h**2 - 80*h + 26. Let a(r) = -7*f(r) + 2*o(r). Calculate a(6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/10*(1 + 0)*-3. What is the second smallest value in -6, y, 2\/15?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11002 is divided by 71.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-8486)\/(12\/78*-1 - 4\/312).\nAnswer: 2, 3, 4243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 83745 to the nearest integer?\nAnswer: 289","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 318.05 + -318. Which is the nearest to 1? (a) -2\/3 (b) t (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-5))\/(28\/(-105))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2652.5 + -2652. Sort t, 0.4, -0.298 in decreasing order.\nAnswer: t, 0.4, -0.298","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 5*j**2 + 9*j - 14. Let l(t) = -t**2 + 1. Let k(o) = -6*l(o) - q(o). Let n be k(8). Suppose -40 = -5*r - 5*i, 2 = -i - n. List the prime factors of r.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjjj when four letters picked without replacement from jjjjjjjjjj.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1539.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 260342, 520594, 780846, 1041098, 1301350?\nAnswer: 1561602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*c - 5*c + 2. What is the least common multiple of 6 and (-8 - c)\/((-4)\/8)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -2\/3, 135.178 in decreasing order.\nAnswer: 135.178, 7, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mwfdzfdmr. Give prob of sequence zdrd.\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {g: 1, f: 9, h: 2, r: 4}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -40528320 divided by 482480\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -326, -614, -928, -1268, -1634, -2026?\n\"Answer: -13*i**2 - 249*i - 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.19 - -25.81. Let r = 4 - p. Let l = r + 26. What is the second biggest value in l, -2\/7, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) -5 (c) 0.07 (d) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3189257 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 3*f + 24 = 0, 3*x + 0*x - 4*f + 18 = 0. What is the tens digit of (0 + 114\/4)\/(x\/(-12))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 - -1. Let q be 6\/(18\/(-3)) + s\/(-1). Solve x - 2*x + 3*r - 5 = q, 3*x - 2*r = 6 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/(-10) + (-177)\/(-8505). Let v = 4\/81 - o. Let y = 145\/2 - 71. Which is the nearest to -2\/7? (a) v (b) 2\/3 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 2*y = 0, 4*j - 28 = -6*y + 2*y. Suppose -g = 4*w + 2, -4*w + 5*g + 10 = -0*w. Differentiate -j - 6*i**4 + 2*i**4 + w with respect to i.\nAnswer: -16*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47889*8\/8 - 2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 486091835 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -59.894919 - -122.577?\nAnswer: 62.682081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that x**5 - 49*x**4 + 391*x**3 + 1377*x**2 - 13932*x + 22572 = 0.\nAnswer: -6, 3, 11, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 > -16054\/5355?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 37.97 to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -18271716*u + 15547391?\nAnswer: -18271716","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 422769509 a multiple of 4071?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l**3 - 9*l - 13*l + 2*l**2 + 18*l)*(66*l**2 + 17*l**2 - 35*l**2).\nAnswer: 48*l**5 + 96*l**4 - 192*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the first derivative of -3*t**2\/2 + 164. Let y(v) = 32*v**2. Determine y(n(c)).\nAnswer: 288*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (17 - -2)*(3\/1)\/(-3). What is the remainder when (4 - 7) + b\/(-1) is divided by 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 282.4 times -0.33?\nAnswer: -93.192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4 + 4 - -2)*2. Let y(h) = 4*h**2 - h - 4. Let j be y(m). Let q = j - 29. What is the common denominator of q and -13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -109072189*s**5 - 75612145*s wrt s.\nAnswer: -2181443780*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.6313 + -0.5313. What is the nearest to -0.1 in -2\/35, 4, 1\/8, j?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -84*r**2 - 91*r**2 - 86*r**2 - 93*r**2 + 335*r**2. Let z(x) = -x**2 - 4*x + 7. Let d be z(-5). Let f(p) = 3*p**d + 0*p**2 - 2*p**2. Give f(o(n)).\nAnswer: 361*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 8893605 to the power of 1\/3, to the nearest integer?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-7\/2)*x*x*x**(1\/8)*(x**(1\/42)*x)**(-21))**(-29) assuming x is positive.\nAnswer: x**(5307\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 + -4. Let c be 3 + -2 - (n - -6). Let o = 8 + c. What is the remainder when 7 is divided by o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2464\/220)\/(70\/(-100))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 47170 and 349058?\nAnswer: 1745290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 8391928116 less than 0.08?\nAnswer: -8391928115.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -1\/10 (b) 2\/273 (c) -4 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - a**2)*(-14*a**2 + 878*a**2 + 4281*a**2).\nAnswer: -5145*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100001000011101 (base 2) to base 3.\nAnswer: 212012212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**2 + 14004*a + 16342668.\nAnswer: 3*(a + 2334)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3026 + 5?\nAnswer: -3021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express x**3 - 4*x - 11 + 13 + 3*x in the form l*x**3 + s + y*x + p*x**2 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -3*l + 4. Let s(y) = y - 1. Let h(j) = j**2 - j - 1. Let r be h(-1). Let w be r\/3 + (-6)\/(-9). Let p(c) = w*g(c) + 2*s(c). Calculate p(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 2 = -3*i. Let p be -6*((-12)\/(-9))\/i. Suppose -5 = w + p*g, g = -4*w - 0*g - 5. Sort -4, w, 4 in descending order.\nAnswer: 4, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes before 9:07 AM?\nAnswer: 6:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -608 divided by 16?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - 1 - ((0 - 4) + -2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 1 + 0)*(-4 + 1 + 5) + 1 + 7 - 3)*(2*f - 3*f + 8*f).\nAnswer: 7*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the second derivative of -5*m**3\/6 + m. Let l = 0 + 9. Let r(f) = 0*f - l - 2*f + 9. Determine r(y(j)).\nAnswer: 10*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -94*w = -92*w + 56, 3*w + 68 = -5*q - 36 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tvjtyvttjvjvttv. Give prob of picking 2 j.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (513 - 513 - 23*r)*(-2*r - 1 + 1).\nAnswer: 46*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 - -5?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2417 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -104*i**2 - 3. Let o(h) = 156*h**2 + 5. Let w(f) = 8*n(f) + 5*o(f). Let b(m) = m - 11*m + 12*m. What is w(b(k))?\nAnswer: -208*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:17 AM and 3:39 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25749966, 51499929, 77249892?\nAnswer: 102999855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1*13*(-16)\/(-104))\/((-2)\/(-4)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -2*k**5\/9 - 58*k**4\/9 + 290*k**3\/9 + 802*k**2\/9 - 656*k\/3 - 440 = 0.\nAnswer: -33, -2, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -18*f**2 - 13 + 0*f + 0*f - f**3 - 12*f - 6*f - f. What is q(-17)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3314716665 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 5 + 3*b + 3*b + 1 - 2*b**2 + 0. Let t be n(3). Solve -2*h = h - t for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.039 + 1.009. Let u = y - -0.03. Let n = -1.2 + u. Which is bigger: n or -2\/7?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j - 4*b - 1000 - 55, j + 4*b = 187. What are the prime factors of j?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2049?\nAnswer: 3, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bv when two letters picked without replacement from ovoqoqoqbqqbv.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*a + 26 = 51*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 33 - 18. Let i = -7 + -2. List the prime factors of ((-3)\/i)\/(1\/b).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -16 in -1.8, -10, 0.1, -1?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h - 8*h + 10. Suppose -5*k + 4*k + 94 = -4*t, -h*t = 3*k - 226. What is the greatest common divisor of k and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12 - -18. Let g(s) be the third derivative of -1\/140*s**j + 0*s**3 + 0*s + 0 - 1\/84*s**4 - 3*s**2 - 2\/105*s**5. Find z such that g(z) = 0.\nAnswer: -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 428.0769 millilitres?\nAnswer: 0.4280769","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/(-13) + 5\/(-10). Let b = -1\/52 - t. Which is smaller: b or 1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2\/32645 + 5876086\/228515. Let i = 214.825 - 213.825. Which is bigger: r or i?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxexeeeeeeeeeeexxx. Give prob of picking 2 e.\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -24*v. Let f be a(1). Let g = f - -34. Let q = 33 + -28. What is the smallest common multiple of q and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**2 + 8*k - 10. Let t be q(6). Suppose -t*s + 36 = 7*s. Solve 8 = -2*g, 3*c = s*c - 4*g - 13 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 935.\nAnswer: 5, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -18712, -24199, -39104, -68137, -116008, -187427, -287104?\n\"Answer: -785*t**3 + t**2 + 5*t - 17933","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the second derivative of -a**5\/10 + a**4\/2 + a**3\/2 - 5*a**2 - 19*a. What are the prime factors of m(-3)?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -12368794?\nAnswer: 1\/12368794","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00198796 rounded to 5 decimal places?\nAnswer: -0.00199","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -62, -240, -538, -956?\nAnswer: -1494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 13705*q**2 - 13705*q**2 + 1621*q**4 + (q**3 - q**3 - q**3)*(-4*q + 4*q + 2*q) as t*q + o*q**3 + f*q**2 + k*q**4 + c and give k.\nAnswer: 1619","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 10 = n, n + n + 6 = x. Let g(w) = 10*w + 90. Let l be g(n). Let j be 2 + 0 + -3 - -26. Calculate the greatest common factor of l and j.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -6757732.1 and -4817.479.\nAnswer: -6762549.579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 + 4 - 16 + 13*u)*(-2 + 0 + 3 + (0 - 9 + 2)*(-6 + 3 + 2)).\nAnswer: 104*u - 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) 1\/2 (c) -2\/85 (d) 6 (e) -10 (f) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-36972)\/(-4266) - (-1 - 2\/(-3))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.51, 5, 68, -5, -0.3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/7 - (-95)\/210)\/1. Which is the smallest value? (a) 1.1 (b) v (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*m - 4 + 0*m - m)*(-3 + 1 + 0)*(17764 - 42*m - 17764) to n*m + g + d*m**2 and give d.\nAnswer: 168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 141*l**2 - 3173*l - 79. Calculate r(23).\nAnswer: 1531","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 148 - 134. Suppose -5*x + 81 = -j*x. Is x at most as big as -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*k = 8*k + 15, 0 = d + 4*k - 28. Let a be (1*-9)\/((-169)\/(-26) - d). Solve 0*i = 3*i - a for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4\/(-15))\/(26\/(-39)) + (-1907)\/5. Which is smaller: -4936\/13 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 54316 (base 7) to base 10\nAnswer: 13537","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (2*(3 + 0 + sqrt(1584) + (sqrt(88) - (sqrt(88)*-1 + sqrt(88) - sqrt(88) - sqrt(88)))\/sqrt(8)))**2.\nAnswer: 360*sqrt(11) + 9936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4968428?\nAnswer: 2, 1242107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.707 + -0.707. What is the closest to q in -0.1, -2, -23?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -77*x**3 - 131*x**2 wrt x?\nAnswer: -462","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 3*n + 533 - 545 = 0, 0 = 3*n + 12. What is the second smallest value in 6\/13, -3\/7, 0.2, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27752972.\nAnswer: 2, 13, 533711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13.228 - 9.089. Let d = 2.666 - b. Round d to two dps.\nAnswer: -1.47","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1a93ed - -3?\nAnswer: -1a93ea","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - c = -31 - 2300, 0 = -4*c + 12. What is the tens digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -211*s + 104*s + 109*s.\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14090 or -56?\nAnswer: -14090","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -147 + 237. List the prime factors of f.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r - 6. Let q be (-2)\/(4\/(-10)*1). Suppose -4*g = -q*d - 28, -g - 2*d + 7 = -d. Let w be b(g). Let s(k) = -6*k**2 + k - 1. Give s(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4125 (base 7) to base 11\nAnswer: 109a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t*t**(-9)*t)**40 assuming t is positive.\nAnswer: t**(-240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -93 - -22535?\nAnswer: 22442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 9*r - 10. Let x(a) = 2*a - 19. Give x(l(q)).\nAnswer: 18*q - 39","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 24*y**2 + 4. Let w(g) = 49*g**2 + g + 9. Let i(a) = 9*s(a) - 4*w(a). What is the second derivative of i(c) wrt c?\nAnswer: 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**2 + 2*p - 3. Let g be s(5). Let w be 2\/g - (-150)\/864. Let z be (1 + -1)\/(3 + -1). Which is smaller: w or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 4*q + 11, -3 + 16 = 5*z - 2*q. Solve 0 = -4*x - c - 11, -x = z*c + 12 - 1 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -299977, -599955, -899937, -1199923, -1499913, -1799907?\n\"Answer: -2*m**2 - 299972*m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (2 - 1) - (-410 - -412)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/8 + (-217)\/(-56). Suppose 4*h + 287990 = -2*b, -34*h + w*b = -29*h + 360020. What is h rounded to the nearest 10000?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d - 2. Suppose 10*u - 55 = 5*u. Let f(y) = 2*y - 3*y - 3*y + u - y. What is -6*f(c) - 33*q(c)?\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence biib when four letters picked without replacement from {b: 13, i: 3}.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 570*s**3 + 2*s**2 - s. Is b(1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a centimeter in micrometers?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 + 3*d**2. Let x(r) = -r**2. Let o(q) = -q**2 - 7*q + 3. Let s be o(-7). What is s*x(y) + z(y)?\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 140565?\nAnswer: 3, 5, 9371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -178 + 347. What is the tens digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14327, -28622, -42915, -57206, -71495, -85782?\nAnswer: -100067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:01 PM and 6:30 PM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the first derivative of 1\/4*q**4 + 3\/2*q**2 + 6*q - 2 + 4\/3*q**3. Give v(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7016 to the power of 1\/2, to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are 548\/5901 and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 458 + -459. Let v be ((-4)\/(-7))\/((-210)\/(-343)). Let s = v - 4\/15. Which is the third biggest value? (a) i (b) -2 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*u**4 + 6 - 6 + (1 - 1 - u**2)*(2*u**2 + 5*u**2 - 3*u**2) as b*u**2 + v*u + l*u**3 + j*u**4 + c and give j.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 559 = 55*l, 8*i + 11*i = -2*l + 20*i + 23 for l.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**3 - 2*t**2 + 3*t - 4. Let k be n(2). Let j = k + 16. Suppose 11 = 3*y + j. Solve 0 = -y*m - 2 + 14 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(99)*-4)**2 + ((sqrt(88) + (sqrt(88) - -4*(sqrt(88) + sqrt(88)*1)) + sqrt(88))\/sqrt(8))**2.\nAnswer: -96*sqrt(11) + 2931","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 + -3. Let c = 105.2 - 118. Let l = c + 13. Which is greater: m or l?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 3*a = 2*a + 106, -74 = -3*o + 2*a. Let d = -16 + o. Is 6 at most d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 - (-20)\/(-12))*-75. Calculate the greatest common divisor of o and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 192249*g*l**2 + 346455*l**2 wrt g.\nAnswer: 192249*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the second derivative of k**7\/280 - k**6\/180 - k**5\/18 - k**4\/9 - 5*k**3\/2 + 16*k. Let l(n) be the second derivative of f(n). What is r in l(r) = 0?\nAnswer: -2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hzzb when four letters picked without replacement from bhbzhbrbhhrfzz?\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2 - (2 + -3))*-11. Let o(q) = -7*q - 35. Let g be o(-16). What is the highest common divisor of g and k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -19859, -38683, -57513, -76349, -95191, -114039, -132893?\n\"Answer: -3*w**2 - 18815*w - 1041","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 3*z + 24. Is -19\/3 > z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.014 and -0.048.\nAnswer: 0.000672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11599\/204 + 287\/34. Let t be 11\/(-66)*(-1 - 226). Let i = q + t. Find the common denominator of i and -23\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13.266 - 12.22. Let t = l - 0.046. Sort -4, t, 233 in decreasing order.\nAnswer: 233, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 208 divide 511762?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -4*r**2 - 521*r - 2161. Determine t(-126).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 524 = 61. Calculate the remainder when h is divided by 41.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 660 and 80322.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the third derivative of y**6\/120 + 2*y**5\/15 + y**4\/3 + 4*y**3\/3 - 2*y**2. Let l be m(-7). Let k be (l - (-3)\/(-2))*0. Solve k*b = -b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5.0289 + -0.0289. What is the third biggest value in 8, -1\/5, h?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 977, 4217, 13011, 30137, 58373, 100497, 159287?\n\"Answer: 463*m**3 - m**2 + 2*m + 513","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 16 = o, -3*a + 194*o + 42 = 198*o. Solve -d + a = 10*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p = 5*s + 61, -9*s + 7*s + 4*p - 150 = -4 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50350?\nAnswer: 2, 5, 19, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 15036?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (135450\/(-7970) + 17)\/2. Do 0 and l have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -207469 + 2621.799\nAnswer: -204847.201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*t**3*u**2 + 49*t**3*u - 738*t**2*u + 2*t + 207246365*u**3 - 14*u - 2 wrt u?\nAnswer: 4*t**3 + 1243478190*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1658 - -1b9a?\nAnswer: 3636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10, 21, 32, 43?\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 3*u - 30. Calculate the smallest common multiple of 4 and u\/(-14) + 90\/21.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/(-33))\/((-74)\/814).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + -24 - (0 + 3 + (98 - 107))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -3*u, -4*z = -u + 5*u - 24. Let i be (-15)\/(-6)*66\/15. Suppose 4*g - 44 = -z*t, 3*t + i = g - t. List the prime factors of g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 190 and 70.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -10 + 5 + -17 + 16 + 17\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4401, -17\/6, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 51 - 42. Suppose 235 = -j*v + 4*v. Let p = -45 - v. Calculate the lowest common multiple of p and 5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/30*(-20)\/36\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5 - 0 - 133\/(-112)*-3646. Let g = n + 4319. What is the common denominator of g and -149\/48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 4*z - 12, -3*z - 10*u + 12*u + 5 = 0. Which is the fourth biggest value? (a) z (b) 0.1 (c) 3 (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the first derivative of -44*a**7\/7 - a**6\/3 + a**3\/3 + 4*a + 50. What is the third derivative of f(w) wrt w?\nAnswer: -5280*w**3 - 120*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 53*a - 303. Calculate the remainder when (0 - (-118)\/8)*4 is divided by t(6).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2295?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.19 - 1.49. Let r = v - -0.8. Suppose o + 0*o + 1 = 0. Sort o, -5, r in decreasing order.\nAnswer: r, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 48, 90, 172, 294?\nAnswer: 456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, 279784, 5\/2 in ascending order.\nAnswer: -2\/3, 5\/2, 279784","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t - 2. What is p(9)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 245 and 441192080.\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -57125 - -10801. Let r = -16976 + k. Round r to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 96?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**3 - 8*m**2 - 2. Let h be t(8). Let p = -310 + 315.22. Let y = p + -0.22. Which is the second biggest value? (a) y (b) 1\/4 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -7124.99 (b) 2.5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 58500\/(-39)*3\/(-2). Calculate the remainder when (-6)\/(k\/(-744) - -3) is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2562558 is divided by 854183.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11.419 + 0.019. Let z = i - -5.4. What is the nearest to 0.1 in z, 2\/9, 4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3146 + -3148. Which is the nearest to -0.02? (a) -2\/7 (b) o (c) 2\/7 (d) -1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(-1\/3))\/(x*x*x**(-3\/5))*(x**0)**(11\/3) assuming x is positive.\nAnswer: x**(-1\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7654?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 106*f + 6. Let l be b(5). Suppose -n - 25 = -6*n, 0 = -3*a - n + l. Let p = -16 + a. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a decade in years?\nAnswer: 58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 18 + (0\/2 - 1). Let g = 21 - p. Which is bigger: 2 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**2 + 16*a - 2. Let i be y(16). Let h = 140 - 150. What is the remainder when (-36)\/h*(-25)\/i is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1282194 divided by -213699.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 2*j**2. Let l(q) = 1510 - 7*q - 1512 - 19*q. Determine l(f(z)).\nAnswer: -52*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1.51, -8, -0.2 in descending order.\nAnswer: 4, -0.2, -1.51, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, -1, 2, 1398377 in descending order.\nAnswer: 1398377, 2, 2\/3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 227.4904 + 0.5096. Are 0.07 and s unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - (7 + -6)) + -4 - (13 + -10 + 2)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 4}. What is prob of picking 2 a?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-52)\/14 + 4\/(-14). Let g = 11 - 10. Let y(a) = 2*a**3 + 2*a**2 - a. Let i be y(g). Put u, 1, i in descending order.\nAnswer: i, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/2 + 143\/(22308\/1440).\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(20)\/sqrt(4))**2*5*5.\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 569 + -565. Suppose 26137 - 62345 = -4*z + m*s, 4*z - 36223 = -s. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**3 - 49*b**2 + 270*b - 118. Let h be x(-54). Is -149 < h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4945221623 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 990313516?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6ef (base 16) to base 2.\nAnswer: 11011101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 133.81 rounded to zero dps?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9686.52ug to milligrams.\nAnswer: 9.68652","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the first derivative of -x**6\/2 - 3*x**2\/2 + 5. What is the second derivative of w(p) wrt p?\nAnswer: -60*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(4\/5)*w*(w**5\/w)\/w*w**(-4)*w*w**6 assuming w is positive.\nAnswer: w**(39\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2225335 to the nearest integer?\nAnswer: 1492","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - o - 24 = -179, 155 = 5*j - 3*o. Calculate the remainder when 56 is divided by j.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 25344748*p**4 - 6*p**3 - 9*p**2 + 2*p + 4190134 wrt p.\nAnswer: 608273952*p - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + d = a - 5, 5*d + 2*a = -5. Let l = 6 - 1. Let g = l - 5.4. What is the closest to d in -5, 5, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1816?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 + 10\/6 + (-143)\/(-33). Suppose -5 = -4*i - 3*c + 9, -s*i - 4*c + 17 = 0. Suppose -i*x + 76 = -84. Calculate the highest common divisor of 256 and x.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*v + 5*v - 2*v**2)*(-2*v + 4*v - v)*(v**2 + 0*v**2 - 5*v**2).\nAnswer: 8*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.527 times 6233\nAnswer: 3284.791","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * 3466580\nAnswer: 1733290","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29860165, -59720336, -89580511, -119440690, -149300873, -179161060?\nAnswer: -209021251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*b**2 - 3353 + 6705 - 3352.\nAnswer: 8*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1944 to the power of 1\/2, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*k**3\/7 + 26*k**2\/7 + 52*k\/7 - 32\/7.\nAnswer: -2*(k - 8)*(k + 2)*(2*k - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vu when two letters picked without replacement from {e: 4, v: 4, z: 1, u: 10}?\nAnswer: 20\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -512011432 + 3?\nAnswer: -512011425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 41 + -36. Suppose o*l + 4*g = 32, 4*l - 2*g - 5 - 5 = 0. Find the second derivative of -4*a - l*a**4 - 9*a - 1 + 1 wrt a.\nAnswer: -48*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(112) + -2 + 1 + sqrt(112) + -5)*-2*-2)**2.\nAnswer: -1536*sqrt(7) + 7744","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbibfff. Give prob of sequence ib.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -108 - -358. Suppose s - c = -4*s. Does 5 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 8947541 and -128 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.14? (a) 5 (b) 487.41 (c) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -50\/27819 and -7\/34001?\nAnswer: 306009","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-144)\/4*3\/((-12)\/2). Suppose -2*s - r = -5*g - s, 0 = -4*g + s + 14. Let x(t) = t + 5. Let d be x(-5). Solve d*y + g*y = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -32.811 * 23.\nAnswer: -754.653","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -5, -4, -2, 0.4, -45, -3\/4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 0 + 5)*(-25*d**2 - d - 2*d**2 + 3*d**2).\nAnswer: -24*d**2 - d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 14, v: 1}. What is prob of sequence vf?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(4\/13))\/(n**(-17\/3)\/n*n*n)*(n*n**23)**(-10) assuming n is positive.\nAnswer: n**(-9151\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*c**3 - 417*c**2 + 84*c.\nAnswer: -3*c*(c + 28)*(5*c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -4090*p - 391. Is h(-5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**3 + 14*h**2 - 6*h - 9. Let y be w(-19). What is y rounded to the nearest 100?\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 57*-719.\nAnswer: -40983","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2448) + 2)**2*5.\nAnswer: 240*sqrt(17) + 12260","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + q = 5, -i - 4 = -5*q + 10. Suppose 5*j - 29 = 1. Let o = i + j. What are the prime factors of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*x - 6 - 15 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 437 - 430. Solve -t - 18 = -3*b, -6*t = 4*b - q*t - 23 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/54 of a week in seconds?\nAnswer: 11200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 x, and 2 m when four letters picked without replacement from {x: 1, c: 6, m: 2, p: 1, s: 5}.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -b80 + 4?\nAnswer: -b79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 2*q**3 - 21*q**2 - 8*q + 183. Let g be o(10). Which is the smallest value? (a) g (b) -0.3 (c) -2\/15 (d) 22 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1881179.123 + -1879821. Let a = u - 1356. Round a to one dp.\nAnswer: 2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 832533 to the nearest integer?\nAnswer: 912","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11 + -142?\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 2*m - 8. Let g be y(6). Suppose -180 = -5*v + 2*c, 0 = g*c - 0*c - 20. Let p = v - 15. Does 18 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*q - 136*q - 493*q + 609*q - 378*q - 399*q.\nAnswer: -773*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.66 * 0.04.\nAnswer: 0.0664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.073 rounded to 0 decimal places?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -138, -6663, 4, -6 in decreasing order.\nAnswer: 4, -6, -138, -6663","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*4.28.\nAnswer: 12.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**3 + 6*l**2 - l - 1. Let w(d) = d**2 + 7*d + 6. Let s be w(-4). Let a be f(s). Suppose -3*o - 2 + a = 0. Solve o + 1 = q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 2632991?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -38057\/7 - -5437. Which is the fourth smallest value? (a) -0.03 (b) -2\/7 (c) n (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -118787 - -96?\nAnswer: -1186a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -715, -711, -721, -751, -807, -895?\n\"Answer: -b**3 - b**2 + 14*b - 727","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1846a6 (base 15) to base 6\nAnswer: -41140033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (16 - 5)*(-7)\/14. Which is the closest to -0.1? (a) u (b) -4 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 11, p: 3}. Give prob of sequence pd.\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*q = 72*q - 77 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*c**5*z**2 + 5*c**3*z**2 - c*z + 3*z**2 wrt c?\nAnswer: -160*c**3*z**2 + 30*c*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the third derivative of -7*p**5\/60 + 13*p**4\/24 - p**3\/2 - 3*p**2. Let v(f) = 4*f**2 - 7*f + 1. Let t(j) = -6*m(j) - 10*v(j). Factor t(d).\nAnswer: 2*(d - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 207 = 5*f. Suppose f - 12 = 3*y. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11454 is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (4*(sqrt(300) - (sqrt(300) + -1 + sqrt(300)*3) - 4*(sqrt(300) - (sqrt(300) + sqrt(300)*1 + sqrt(300) + sqrt(300)))))**2)*-5.\nAnswer: -1944100 - 14400*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -22321142 (base 5) in base 4?\nAnswer: -300122121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-1\/2)\/h**(2\/7)*h\/(h\/(h*h*h**(5\/2)))*h*h\/h**(1\/3) assuming h is positive.\nAnswer: h**(113\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 471817 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c + 4. Let r be o(5). Let x = -7 + 9. Solve w = q + r, x = -2*q - w - 1 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1606114466.\nAnswer: 2, 11, 3163, 23081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 75626?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the first derivative of -19*j**5\/60 - 7*j**3\/6 - 17*j**2 - 31. Let x(w) be the second derivative of h(w). Differentiate x(d) wrt d.\nAnswer: -38*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*a**3*k**3 + 4234*a**3*k + a*k**3 - 860*a*k**2 + 146418*k**3 wrt k.\nAnswer: -12*a**3 + 6*a + 878508","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 353 + -2467\/7. Let f = -6 - -6. Sort 3, -0.4, f, u in increasing order.\nAnswer: -0.4, f, u, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -3 + 0 + k + 5. Let o be q(5). Let m(y) = -y**3 + 8*y**2 - 9*y - 6. Let b be m(6). Solve o*c - 3*c = b for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 4*i = 655, -i + 3 = -2. List the prime factors of x.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -111, 0, -1156 in decreasing order.\nAnswer: 0, -111, -1156","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -2*x**4 - 2116*x**3 + 51606*x**2 - 356576*x + 523688 = 0.\nAnswer: -1082, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**2 - 2*z + 32. Suppose -14*x + 6*x = 0. Let j be p(x). What is the highest common factor of j and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 10 + 5 = 0. Let y(l) = 2*l**3 + l**2 + 2*l - 2. Let g be y(s). Let x be 2*(8 - (-12)\/(-3)). Solve w = -g*w - x for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -2*a**4\/3 + 10*a**3\/3 + 62*a**2\/3 + 86*a\/3 + 12 = 0.\nAnswer: -2, -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 5411737 a multiple of 415?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 2*t + 0)*(-1 + 1 - 2*t)*(-t**2 + 5*t**2 + 0*t**2 + (-t + 2 - 2)*(-4*t + 4*t - t)) to the form a*t**4 + g*t**3 + b + s*t**2 + w*t and give a.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 236 is divided by 82.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p**5\/7 - 36*p**3\/7 + 64*p**2\/7 - 30*p\/7 = 0. Calculate p.\nAnswer: -5, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002266274 to 4 decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3552 times -0.19?\nAnswer: -674.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**(7\/6)\/j)\/j)\/(j**4*j))**(-2\/27) assuming j is positive.\nAnswer: j**(35\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cnvnccvncc. What is prob of picking 1 c, 2 n, and 1 v?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3.9? (a) 2 (b) -1734 (c) -1\/48\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**2 + 595*m - 1782. Let o be j(3). Let s(f) = f**3 - 3*f**2 - 4*f - 4. Let l be s(4). Sort o, -5, l in descending order.\nAnswer: l, -5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -138, 5\/2, 24.2, 4?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -101, 3, -5 in decreasing order.\nAnswer: 3, -0.3, -5, -101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -1 + 3 - 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 3*f = -10, u + 7*f - 15 = 3*f. Sort u, 2, 3 in descending order.\nAnswer: 3, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a century in years?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.7? (a) 4 (b) 0.2 (c) -5 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000539 rounded to seven dps?\nAnswer: -0.0000054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the second derivative of -s**6\/6 - 31*s**5\/4 - 415*s**4\/12 + 155*s**3\/6 + 210*s**2 - 2*s - 1636. What is i in k(i) = 0?\nAnswer: -28, -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 12*p + 8. Let y be z(8). Let n = -60 + y. Let w = n + -23. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppppppppppphh. What is prob of picking 2 p and 1 h?\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-3\/7))**(-3\/16)\/(t**(-2))**(-5))**(-24) assuming t is positive.\nAnswer: t**(3333\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7361.\nAnswer: 17, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 1 y when three letters picked without replacement from yyyyybyy.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 10237.05 microseconds?\nAnswer: 0.000002843625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*x + x - x)*(0 + 0 + 1) - 3*x + 4*x + 3*x)*(5 - 4 - 2).\nAnswer: -7*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2919*h**4 - 2665 wrt h?\nAnswer: -11676*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 90.3 + -2.3. Let t = 88.078 - m. What is t rounded to two dps?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-2 + (-1*sqrt(98) + sqrt(98) + 1)*4 + 1))**2.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 67729 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -27*a**6 + 4*a**5*m**3 + 6*a**2*m - 13*a*m**3 wrt a.\nAnswer: -3240*a**3 + 240*a**2*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 88*n - 272*n + 673887 + 1086809. What is the hundreds digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17989, 2, 6.\nAnswer: -17989, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.0429 or -1\/196130?\nAnswer: -1\/196130","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 0.048, -0.04, 10698?\nAnswer: 0.048","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5525344 divided by 1?\nAnswer: 5525344","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.37 + 4.23. Let s = -0.6 + z. Let i = -1663\/9 + 185. What is the nearest to i in 5, s, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - (-2 - 0) - (39 - 44)) + -20.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 440 and 16.\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -255*l - 147 = -108*l. Let u(m) = -m + 1. Let a(i) = -16*i + 14. Let q(w) = a(w) - 10*u(w). Let n(x) = x - 1. Let z(v) = -5*n(v) - q(v). What is z(l)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 668?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -23.2 - -11.2. Which is smaller: 2\/9 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*o + 53*o - 10 = 2*x - 26, 13*x - 3*o = -29 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14.45 - -14.3. Let r = -26 + 25.53. Let q = r - m. Round q to 1 decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**2 - 9*q + 13. Give o(9).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-39) + 9*(-62)\/(-78)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 31353767 to the nearest integer?\nAnswer: 315","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -763352.2 + 20\nAnswer: -763332.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 451 + -388. Differentiate -a*d + 181 + 6*d + 13*d - 52*d with respect to d.\nAnswer: -96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (2*sqrt(2448)*3)**2*3.\nAnswer: 264383","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 13 = 47. Suppose -b = -4*h + t, 4*h + 3*b + 2 + 2 = 0. Let g be -2 + (46\/13)\/h. Which is smaller: g or 0?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 362 - 342. Let l(m) = m**2 + 15*m - 18. Let v be l(-15). Let w = v + 22. What is the lowest common multiple of b and w?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1734 * -6\nAnswer: -10404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h**2 + h**2 - h**2)*((1 + 2 - 1)*(-1 + 1 - 2) + 0 + 3 + 0).\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -87*u + 2. Suppose -5*l + 5*m - 5 = 0, 4*m + 4 = -4*l + 2*m. Is r(l) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -1.4 (b) -5 (c) -2\/423\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 6+-0.5193058\nAnswer: 5.4806942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -2*a**2 + 3 - 3. Let o(x) be the first derivative of x**3\/6 - 2*x + 3. Let k(f) be the first derivative of o(f). Determine u(k(r)).\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*j = -125 - 135. Suppose 3 - j = -u. Calculate the smallest common multiple of u and 6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -15710270 to the nearest 10000.\nAnswer: -15710000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes before 2:18 AM?\nAnswer: 4:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -3*q**2 - 35*q - 56. Let o be r(-12). Let m be 10 + 672\/o - 4\/34. Solve m = -2*g - y + 3, -3*g - 3*y + 6 = 2*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -116814 - -116813.99950717. What is q rounded to five decimal places?\nAnswer: -0.00049","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 10}. What is prob of picking 2 y?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(204) - 5*sqrt(204)*2)\/(sqrt(192)*-1).\nAnswer: -5 + 9*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3564 and 120098.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 4*d + 2 = 0, 5*n + d + 8 = 3*n. Let o(v) = -v - 1. Let b(m) = 6*m + 4. Let c(a) = n*o(a) - b(a). Differentiate c(u) with respect to u.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.84594 - -3.932151?\nAnswer: 1.086211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 + -441?\nAnswer: -445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -19*h**2 - 119*h + 10. Let o be p(-6). What is the greatest common divisor of 232 and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 51199\/36 + -1422. Calculate the common denominator of c and -63\/10.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 41 + 179. What is the remainder when i is divided by 113?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 43 - 47. Is 14 a factor of (49\/2)\/((-1)\/t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, c: 1, m: 2, i: 2, o: 1, l: 2}. Give prob of picking 2 m.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10.5 - -2.5. Let d = 3 + f. Let h = 11 + -7. What is the nearest to 2\/5 in 4\/5, h, d?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -5*k - w, -49 = -10*k + 7*k + 5*w. Solve 20 = k*y - 4*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -221\/14 + 31\/2. Which is smaller: 0 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 + -14)*6\/(-9). Let j be 100\/r + (-3)\/(-6). Solve 0 = 4*f + j - 5 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5442 - 30050. Let t = w + -1392. Round t to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide 8088640683?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100100110010 - -10?\nAnswer: -100100110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*t**3 + 734 - 735 - 5*t**4 + t**3 - t**2 in the form g*t**4 + b*t**3 + u*t**2 + w + v*t and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3 + 3*p**2 - 3*p + 7. Let t be w(2). Solve 2*y - 3*k - 30 = t*y, -k - 20 = 3*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*u - 184 + 184)*(19*u - 24*u - 25*u).\nAnswer: 510*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 172414871 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -4*w + 5*w. Which is bigger: 16\/9 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-295*n - 119911 + 119911)*(0*n**2 + 0*n**2 + 2*n**2).\nAnswer: -590*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 0*q + 16 + 5 + 0*q + q. Let g be m(-19). Solve g*v = 1 + 1 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 19*a**2 + 49*a - 3. Determine i(-3).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from egvgvpsvdppv. What is prob of sequence gdee?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (44 - (-4323)\/(-99)) + 5\/12?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8272053 and 555?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.9 - -8.3. Let v = -7 + x. Sort 5, v, 1\/10 in descending order.\nAnswer: 5, v, 1\/10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 109*x + 3858. Calculate c(-44).\nAnswer: -938","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**2 - 22*j - 62. Let y be v(-18). Let h = -5 - -25. Calculate the greatest common divisor of h and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -35534*g**3 - 326*g**2 + 326. Let p(l) = 326*l**3 + 3*l**2 - 3. Calculate -326*p(j) - 3*x(j).\nAnswer: 326*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(66)\/(sqrt(12)\/sqrt(2)*5).\nAnswer: sqrt(11)\/5 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 255 and 119.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 248962 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -15842 rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -10870000 rounded to the nearest 1000000?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -55044 - 6126?\nAnswer: -63172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 2*q - 3*q = 191, -20 = 5*q. Let k = c + 60. Let b(i) be the second derivative of i**3\/6 - 2*i**2 - 2*i. What is b(k)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 - 9*i**2 - i. Let y be s(-9). Let r = y - 6. Calculate the remainder when 1\/3 - 130\/(-15) is divided by r.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the first derivative of 3*w**5\/35 - 15*w**4\/28 + w**3 - 9*w**2\/14 + 37. Factor d(c).\nAnswer: 3*c*(c - 3)*(c - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*y + y**5 + 7*y**4 - y - 7*y**4 wrt y.\nAnswer: 20*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6621176 to the power of 1\/2, to the nearest integer?\nAnswer: 2573","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 98.38353 litres in millilitres?\nAnswer: 98383.53","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/5698 and -9\/4070.\nAnswer: 28490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 15\/637 and 16\/455.\nAnswer: 3185","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 12*a + 30. Let o(z) = -14*z - 36. Let k(j) = 5*o(j) + 6*x(j). Let s(l) = 26461*l. Calculate s(k(d)).\nAnswer: 52922*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*q - 55 = 6*q. Solve -3*v**3 - q*v**3 - 3*v**4 + 0*v**4 - v**3 = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 4*f. Let k(s) = 13*s - 1. Suppose 4*b + 4*c = 12, 0 = -3*b - c - 3 + 16. Let u be 18\/(-30) - 37\/b. Let h = u - -10. Determine h*k(d) - 7*t(d).\nAnswer: -2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 44861, 90266, 135671?\nAnswer: 181076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12589 to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange d + 3*d - 17*d to the form i + n*d and give n.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2754?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 331750176?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - 1, -5*z + s + 6 = -0*z. Let n be -1*(2 - -1) - -2. Calculate the remainder when z is divided by 2 + (n + 2 - 2).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 - 5. Suppose -5*r - j = 3*y - 36, 5*r - 15 = 0. Let t(m) = -6*m**2 + 6*m + 4. Let k(h) = -7*h**2 + 7*h + 5. Let z(b) = y*t(b) - 4*k(b). Factor z(w).\nAnswer: -2*w*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1753*n - 20438 = 1235 + 27411 for n.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-k**2 + 0*k**2 + 3*k**2)*(-4*k + 3*k - k) + k**3 - k**3 - 3*k**3)*(2 + 0*k**2 - 3 + 3*k**2).\nAnswer: -21*k**5 + 7*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 = -3*o - 5*r, 0 = -5*o + 7*r - 3*r + 66. Calculate the least common multiple of 10 and o.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 79\/497 - -9\/71. What is the nearest to 1\/2 in j, 1\/3, 10, 0.3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*w**2 - w**2 + 5*w**2 + (-2*w - 8*w + 3*w)*(w - 2*w + 2*w).\nAnswer: -5*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4) + sqrt(32)\/(sqrt(16)\/sqrt(2)))\/(-1*sqrt(32) - sqrt(2)).\nAnswer: -2*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -3 + sqrt(52)*5 + sqrt(13))**2*-4.\nAnswer: -6488 + 616*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 220009 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence du when two letters picked without replacement from {k: 6, d: 8, u: 1}.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5\/4 in 0.25, -4, 11?\nAnswer: 0.25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 68 and 85?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 2*a**2\/5 + 1163878*a\/5 - 1396668 = 0.\nAnswer: -581945, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.044 + 1.349.\nAnswer: 1.393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 17957, 17958, 17961, 17966, 17973, 17982, 17993?\n\"Answer: g**2 - 2*g + 17958","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 29 = -3*r, -11 - 10 = -2*r + p. Suppose -r*h + 13*h = 6. Suppose h - 3*x**3 - 6 + 3 - 2*x + 5*x**2 = 0. Calculate x.\nAnswer: 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (g**2 + 2*g**2 - 2*g**2)*((-2 - 2 + 3)*(4*g**2 - 3*g**2 + 0*g**2) + 1 - 1 - 7*g**2) in the form f*g**3 + b*g**4 + s + c*g + r*g**2 and give b.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 91 = -13. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(84)\/(sqrt(12) - (sqrt(1200) - (sqrt(1200)*2 - sqrt(1200)) - sqrt(1200) - sqrt(1200))) - (sqrt(175)*-1 + 2)))**2.\nAnswer: 11236\/63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 65 + -44. Calculate the remainder when (42*3)\/2 + -2 is divided by y.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20961?\nAnswer: 3, 17, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 11*k**2 + 7*k + 11 - 8*k**3 + 0*k - 6*k - 12*k. Let g = -2 - -4. Let j(a) = -5*a + 3 + 1 - 3*a**3 + a + 4*a**g. Calculate -11*j(f) + 4*v(f).\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 842 - 340. Is b a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13095055 is divided by 6547523.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the second derivative of -p**7\/7 - 8*p**4\/3 + 5*p**3\/6 - 16*p**2 + 220*p. Find the second derivative of a(w) wrt w.\nAnswer: -120*w**3 - 64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkkc when four letters picked without replacement from kkkkkkckckck.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > -1\/202353?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-8 - 30) + 23 - (-1 + -1)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.4944 + -0.577. Round m to 2 dps.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8\/21*c + 14\/3*c**3 + 0 + 8\/3*c**2 = 0 for c.\nAnswer: -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 39405.1 years?\nAnswer: 39.4051","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the second derivative of 51*v**8\/28 + v**6\/5 + 11*v**4\/3 - 11*v**3\/6 - 5*v + 169. Find the third derivative of q(g) wrt g.\nAnswer: 12240*g**3 + 144*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r - 9, -j - 29 = -7*r + 4*r. Suppose 0 = -9*o + 12*o + 369. What is the remainder when (o\/(-4))\/(5*(-1)\/j) is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15825 is divided by 109?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 678362 to the power of 1\/2, to the nearest integer?\nAnswer: 824","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-1246)\/42)\/(2\/6). Let g = c + 101. Solve -s = -5*s - g for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1471*h + 415763 - 415763.\nAnswer: 1471*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(8) + sqrt(72)\/sqrt(9) - sqrt(2)))**2 - (sqrt(72) + -4)*1.\nAnswer: -6*sqrt(2) + 652","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 315 divide 230409834?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*(7\/28 + (-81)\/276))\/1.\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -8, 630, 48, 0 in increasing order.\nAnswer: -8, 0, 6, 48, 630","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6479809?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**2 - 3*g - 10. Let x be v(9). Let w = x - 36. Suppose -w*y - 135 = -47. Which is greater: 0 or y?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -y**3 - 53*y**2 = 0.\nAnswer: -53, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**2 + 5*b + 3. Let q = 8 - 4. What is the remainder when 11 is divided by k(q)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 20*j + 440. Let u be q(-22). Let a = 0.3 + 1.7. What is the nearest to -1\/7 in u, a, 4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/2 - 76\/(-4). Suppose -o + t = -w - 2*w, 0 = o - w - 17. Does 7 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 77103?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -28 + 26. Let q = -1 + 2. Is q < c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*l + 3*l - l.\nAnswer: 23*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9 and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:53 AM and 1:57 PM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 678.2 - 678. Which is the closest to -2\/5? (a) 1 (b) q (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -149*j**2. Let z(l) = 6*l. Let u(c) = -7*c. Let i(g) = -4*u(g) - 5*z(g). Give i(w(d)).\nAnswer: 298*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2171889*n**4 + 3238621?\nAnswer: -8687556*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) 4\/39 (c) -22\/7 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is d72 (base 15) in base 4?\nAnswer: 233120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -7*c**2 - 931*c + 10553. Give t(11).\nAnswer: -535","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 2*c**3 - 28*c**2 + 5*c + 277. What is j(13)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 208 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w**2 - 80*w = 0 for w.\nAnswer: 0, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*f + 5*f - 176 = 0. Let t be ((-5)\/2)\/(22\/f). What is the second derivative of 8*m + 6*m**t - 12*m**5 + 8*m**5 wrt m?\nAnswer: 40*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-10*(-93)\/24)\/((-1)\/4). Let k = 239 + q. Is k a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 6, v: 1, t: 7, o: 4}. Give prob of picking 2 t and 1 o.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 9*j**2 + 6*j**2 + 2.\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10? (a) 2 (b) -2\/5 (c) 300905 (d) 0.2 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (46 - 51) + -2 + -1 + -20 + -1?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**3 + 6*d**2 + 79*d - 98. Determine a(15).\nAnswer: -938","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 19\/6 (b) -2 (c) 2\/15 (d) 13\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 + 15 + -8 - -2) + 0 + -20.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1927, -1942, -1967, -2002, -2047, -2102, -2167?\n\"Answer: -5*j**2 - 1922","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 + 3. Suppose 5*d - 83 - 18 = 2*a, d = 4*a + 13. Suppose p = 2*c - d - 45. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -3*j. Let u(d) = -4381*d**2. What is r(u(c))?\nAnswer: 13143*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1\/47, -2\/11, -32, -1461?\nAnswer: 1\/47","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 72645*k**3 - 145589*k**3 + 72931*k**3.\nAnswer: -13*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1761, 1760, 1759, 1758, 1757?\nAnswer: 1756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vkmk when four letters picked without replacement from vvkvvvvmkv.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 57391 and 253312?\nAnswer: 1979","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*k - 2*k + k**3 + (k - 3*k + 3*k)*(-5*k**2 + 4*k**2 - k**2) + 44*k**3 - 3*k**3 - 10*k**3 as g*k**2 + i + u*k + d*k**3 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -129a9 - -1757?\nAnswer: -11252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 4, d: 5, l: 8}. Give prob of picking 3 a.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5368 - 5363. What is the closest to 0.2 in 34, b, 0.09?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8984 is divided by 2941?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10001011111100100 + 10?\nAnswer: -10001011111100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 12 = 0, -3*d = -4*u - 19 - 2. Let l be ((-9)\/10)\/((-993)\/3310). Sort u, l, 0 in descending order.\nAnswer: l, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes after 8:20 AM?\nAnswer: 9:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence su when two letters picked without replacement from {b: 2, p: 1, w: 1, t: 7, u: 3, s: 3}?\nAnswer: 9\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 636 + -366. Let c(x) = 5*x**3 + 8*x**2 - 12*x - 18. Let m be c(2). What is the highest common factor of t and m?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*v + 11*v - 605. Let d be v\/22*(-4 + 2). Suppose -5*n = c - d, 3*c - 5*n = 2*c + 1. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/239930 and -1\/4078810.\nAnswer: 4078810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 28.247499 months in centuries?\nAnswer: 0.0235395825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -3*r + 1209, -2*r + 4*k + 799 = k. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8965975 divided by -115?\nAnswer: -77965","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3\/2)\/(3\/4). Let h(b) = 2*b**3 - b**2 - b - 1. Let a be h(i). Suppose 3*m + a = 0, 5*w - 3*w - 4*m = 38. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1072*x = -z - 1077*x + 36, 4*z = -2*x + 54 for z.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 231 - -47?\nAnswer: 278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**2 + 62*i - 228. Let z be x(58). Solve 2*o - 8 = 2*l + l, 0 = -z*l + o - 4 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = p - 4. Let v(l) = -5*l + 0*l**2 + 5*l**p - 6*l**2 + 0*l**2 - 4. Suppose 0*n = -4*n - 20. Give v(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7*b*t**3 + 19*b*t**2 + 4*b*t - 51*b - t**3 - 2*t - 504384 wrt b?\nAnswer: 7*t**3 + 19*t**2 + 4*t - 51","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*g - 5839 = -22533. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 5*t + t + 32 = 0, -5*k - 2*t - 5 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17236604?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 40128 divided by 6?\nAnswer: 6688","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (27*k**3 + 24*k**2 - 24*k**2 + (-k**2 - 4*k**2 + 3*k**2)*(6*k - 180 + 180))*(2*k + 2 - 2*k - 2*k**2).\nAnswer: -30*k**5 + 30*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 147351.6576ns?\nAnswer: 0.000000000243637","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 395 and 79790?\nAnswer: 395","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**2 - 2*c - 3. Suppose 0*u + 5*u = -4*t + 8, 0 = -3*u - 2*t + 6. Let i be v(u). Solve 1 = 3*l - 8, i*m = 2*l + 4 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -114555230*m**2 - 186714212.\nAnswer: -229110460*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes before 9:08 AM?\nAnswer: 7:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 26425 = -2*c, -4*z - 3*c - 15846 = -7*z. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes after 5:56 PM?\nAnswer: 11:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 10*b + 1242. What is s(-125)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:59 PM and 1:37 AM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is (1431958\/33)\/(((-4)\/(-4))\/(-3) - -1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 319564 (base 14) to base 7\nAnswer: 20155054","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.82 - -3. Let h = 0.03 - z. Let x = h + 0.15000018. What is x rounded to seven decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -2*r - 0*m + 10, -15 = -3*r - 5*m. Suppose r*h + 3*p = 0, -2*p - p = -h. Solve 5*u - 28 = 2*z, h = 5*z - 3*u + 43 - 11 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4623 in 13, 2\/13, 2\/9, 2?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the first derivative of p**4\/12 + 7*p**3\/6 - 3*p**2 - 6*p - 12. Let y(m) be the first derivative of j(m). Let l be y(-7). Is -5 > l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-11)\/14 + (-7)\/(-14). Suppose -3*q - 12 = -3*o, -o + 4*q = -4 - 0. Put w, 0, o in descending order.\nAnswer: o, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(-5))\/(22\/15)*(-89)\/(-267)?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1554566504?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.04079 to two decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.15 in 1, 11724, -2, -8, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 601 divide 6052671?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9 + 9 + 16 + 141*l**3 - 143*l**3 with respect to l.\nAnswer: -6*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.895768 weeks in minutes?\nAnswer: 79589.34144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-8)\/((s**(8\/9)\/s)\/s))\/(s*s\/s**(-1\/19))**(36\/5) assuming s is positive.\nAnswer: s**(-18526\/855)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-221*f + 1960 - 211 + 241*f - 12*f)*(4*f**3 - f**3 - f**3) as z*f**2 + w*f + l*f**4 + u*f**3 + p and give l.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 - 8*x**2 - 10*x - 13. Let w be z(-8). Let n = 93 - w. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*t - 23*t + 585 = 2*m, 0 = 3*m - 24. Calculate the remainder when t is divided by 179.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.2 + -0.2. Let w = 9 - 11. Let n = w + a. What is the third smallest value in 4, n, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 570196 and 99?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 599.2144 millimeters in nanometers?\nAnswer: 599214400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.1, -10, 0.2, 3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 + 12 = 22*z. Let w = -6 - -4. Which is the closest to z? (a) 0.2 (b) -2\/9 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.3 (b) 4 (c) 0.33 (d) 1\/6 (e) 2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 50 from -2.42.\nAnswer: -52.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -798, -1599, -2462, -3393, -4398, -5483, -6654?\n\"Answer: -i**3 - 25*i**2 - 719*i - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 q, and 1 e when three letters picked without replacement from eeeyqymeeeemeqyem.\nAnswer: 27\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -4 + j**2 - 10*j + 10*j - 5*j - 3*j. Let u be z(9). Solve -a + u*a = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/312 and 125\/18.\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one tenth of a kilogram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, y: 2, o: 8, z: 4}. Give prob of sequence yz.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -5*v - 48, 284 = -4*t - v + 54. Which is greater: t or -61?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -41 + 43. Calculate the smallest common multiple of 6 and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 6 - 0. Suppose -v - 5*c + 15 = -f*v, 0 = 4*v - 2*c + 2. Put 0, -3, v in increasing order.\nAnswer: -3, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 300 + -5?\nAnswer: 251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 91 + -51. Suppose 3*u + 80 = p, -3*u - 271 = -4*p + h. Is p a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -28\/5 + 127\/20. What is the nearest to -2\/9 in 4, -0.4, p?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*1*sqrt(168))\/(sqrt(42)\/sqrt(252)))**2.\nAnswer: 9072","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 55*t**2 + 5*t + 6. Let m(z) = z - 1. Let r(a) = -4*m(a) - v(a). Find the second derivative of r(p) wrt p.\nAnswer: -110","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -18651, 258 in decreasing order.\nAnswer: 258, -3, -18651","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 8132*p**3 + p**2 + 79*p - 3569442?\nAnswer: 24396*p**2 + 2*p + 79","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes after 1:31 AM?\nAnswer: 2:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 595341, 1190678, 1786015, 2381352, 2976689, 3572026?\nAnswer: 4167363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 297093 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -118 + 475\/4. Suppose -3\/4*g**4 + 0*g + 0 - f*g**5 + 0*g**2 + 0*g**3 = 0. Calculate g.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 178*f - 44*f - 48 - 24*f**2 - 41*f**4 + 40*f + 211*f**4 + 50 wrt f.\nAnswer: 4080*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-504)\/(-160) - 3 - 1\/(-4). Let q be (-40)\/10*(-3)\/(-4). Let z = 0.9 - 1. What is the nearest to 0.1 in z, d, q?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 142565?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the first derivative of b**4\/20 - b**3\/15 - b**2\/2 - 3*b\/5 + 236. Solve d(o) = 0 for o.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19565\/(-3779958) - 8\/(-276).\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -286*n + 5*n + 11654 - 3224 = 0 for n.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and 578.657?\nAnswer: 173.5971","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 4*t - 2, 0*x - 4*x + 16 = 2*t. Let l(s) = s + x*s - 5*s + 7*s. Let q(y) = 2*y. What is q(l(d))?\nAnswer: 18*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 436747 times 0.1844\nAnswer: 80536.1468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:33 AM and 5:45 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 30724338?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5494505 to the nearest integer?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22001 (base 3) to base 5.\nAnswer: -1332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (1 - -3 - 12) + 58 + 6 + -18 + -2\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a kilogram in milligrams?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((n\/n**6)\/n)\/n)\/n)\/(n\/(n\/(n*n\/n**2)*n)))\/(n*n**0*n**0))\/(n**0\/(n*n**2)*(((n\/(n\/(n\/(n**(-3\/2)\/n))))\/n)\/n)\/n*n\/(n*n**4)) assuming n is positive.\nAnswer: n**(-3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1424 + -20?\nAnswer: 1404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 64*z**4 + 36192*z**3 + 5850916*z**2 + 207615408*z + 2106075664.\nAnswer: 4*(z + 22)**2*(4*z + 1043)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/(s**6*s)*s*s\/((s\/s**(-4))\/s)*s**(-1\/4)*s**(-4)\/s assuming s is positive.\nAnswer: s**(-53\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2 + -4)*(-424760)\/74.\nAnswer: 2, 3, 5, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 45056?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*c**5 + 9*c**3 + 122*c**2 - 55*c + 772 wrt c?\nAnswer: -40*c**3 + 54*c + 244","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a century in years?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27146438, 54293076, 81439700, 108586304, 135732882, 162879428, 190025936, 217172400?\nAnswer: 244318814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3 + 1 + -23 + 1. Let p be o\/(4 - 0) + 0. What are the prime factors of (-68)\/(-6)*p\/(-4)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 5494 = -2*g - 2*m, 8259 = 3*g - 3*m. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 6391?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1045646 (base 9) in base 5?\nAnswer: 120434413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m**4 - m**4 + 3*m**4)*(-m + 1 - 1) - 4*m**5 - m**5 + 3*m**5 + (m**2 - 2*m**2 + 6*m**2)*(-2*m**3 - 3*m**3 + 4*m**3).\nAnswer: -8*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1498 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1362, 6135, 14068, 25137, 39318, 56587?\nAnswer: 76920","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 smaller than 168?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 488, 476, 464?\nAnswer: 452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 36\/5 (b) -5 (c) -16 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -170 - 12*x + 84 + 86 - 113*x. Let n(s) = 6*s**2. Determine a(n(y)).\nAnswer: -750*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p - 1941 = r - 1981, 0 = 3*r + 4*p - 50 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2995630 is divided by 499223.\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 6871*g**3 + 1957*g**2 + 8*g - 40. Let f(w) = -2290*w**3 - 652*w**2 - 3*w + 15. Let x(r) = -3*c(r) - 8*f(r). Find the third derivative of x(o) wrt o.\nAnswer: -13758","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 0 - (2 + -8 + 7).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 84 - 156. Let t = 77 + s. Suppose -t*g + u = -8*g + 304, 0 = 2*g + 2*u - 204. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.5 in -0.2, -132, 5, 6?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(104)\/(-3*sqrt(12)\/sqrt(6)))\/(-6*sqrt(36)*1).\nAnswer: -sqrt(13)\/54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: -0.3 + 192.2797\nAnswer: 191.9797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3 and 296163.\nAnswer: 296163","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.075598356 to five dps.\nAnswer: 0.0756","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -210, -826, -1852, -3288?\nAnswer: -5134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v and 1 x when four letters picked without replacement from vvvvvxvvvxx?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 7, b: 9}. What is prob of picking 1 b and 1 a?\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2073780 at most 2073823?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 169370705?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddd when three letters picked without replacement from {f: 2, d: 5}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 30000 - 18477. List the prime factors of d.\nAnswer: 3, 23, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:35 PM and 7:12 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 k when four letters picked without replacement from bkkbkbkbkbbkkkbkbbkk.\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15 - 8. Calculate the lowest common multiple of 2 and m.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28.29509781 + -8.\nAnswer: -36.29509781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.25 + -0.65. Let j = -1.1 + g. Let f = j + -1. Which is the closest to 0.1? (a) f (b) 4 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dgdsgggddddddgddd. Give prob of picking 2 d and 2 g.\nAnswer: 55\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 28 - (2870\/112 + -26 - (-6)\/16). Solve -y - 5*h = 1, -z*y + 4*h = -23*y + 5 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 358623709 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 8300+2\nAnswer: 8302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5590493 + 2*h - h**2 - 2*h + 5590493.\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5994 + 13661 + 6779)*(2*l - 7*l + 3*l) as o*l + i and give o.\nAnswer: -28892","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3\/4*w**2 + 0*w + 1 + 1\/4*w**3 = 0 for w.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*p**2 + 0*p**2 - 2 + p**2 + (8 - 3 + 6)*(-2*p**2 - 2*p**2 + 3*p**2).\nAnswer: -13*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 259447.\nAnswer: 401, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 n when four letters picked without replacement from {n: 5, b: 8}.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:58 AM and 6:19 AM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -14*o**3 - 4*o**2 - 4*o - 6. Let m be f(-6). Differentiate m*c**2 - 191 - 7*c - 14*c - 2897*c**2 wrt c.\nAnswer: 2*c - 21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -7 + -49*(-8)\/(-160)*-4. Let o(z) be the first derivative of 0*z**3 + 10 + 0*z**4 - m*z**5 - 9*z + 0*z**2. Differentiate o(l) wrt l.\nAnswer: -56*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -2*y - 0*y + 2*f, 15 = 5*y + 2*f. Let h be ((24\/(-10))\/(-3))\/(10\/25). Sort y, h, 4 in increasing order.\nAnswer: y, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 73.96331l in millilitres?\nAnswer: 73963.31","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -390 or -4069?\nAnswer: -4069","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 2 - 2)*(-4*f + 0*f - 5*f)*(10*f**2 - 5*f**2 + 10*f**2) to the form d*f**2 + l + v*f + w*f**3 and give w.\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that v**2\/3 + 94*v + 281\/3 = 0.\nAnswer: -281, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*t = 753 - 183 + 626. Suppose 120 = 2*n - n. What is the remainder when n is divided by t?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 342\/361*(-835)\/1503\nAnswer: -10\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80 is divided by 67?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -218 times 0.2134511?\nAnswer: -46.5323398","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -77205, -2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/4 - (-34)\/4. Let o(c) = 2*c - 18. Let i be o(h). Let b = -29\/33 - -6\/11. Sort -1, i, b in ascending order.\nAnswer: i, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5094 and 54.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-1314)\/(-126)*21\/(-90) and -95\/126.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1, 2, 26 in decreasing order.\nAnswer: 26, 2, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-414)\/(-24) - (-3)\/4. What is the tens digit of 4\/r + 345\/27?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.15 plus -1673?\nAnswer: -1670.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -89836*l**4 + 29*l**3 - 125*l - 96. Let f(w) = 6417*w**4 - 2*w**3 + 9*w + 7. Let q(s) = -29*f(s) - 2*y(s). Find the second derivative of q(p) wrt p.\nAnswer: -77052*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 142*i**6 + 5907*i**5 - 28213287*i**2 wrt i.\nAnswer: 17040*i**3 + 354420*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9685 is divided by 9314.\nAnswer: 371","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 21 - 21. Suppose l = 2*s + 2 - 6. Solve -t = s*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-40)\/(-24)*(-6)\/15. Which is greater: r or -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1379, -2764, -4147, -5528, -6907, -8284?\nAnswer: -9659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 + -22. Let s = 35 - o. Let v = -35 + s. What are the prime factors of v?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -3*s**2 + s + 1. Let o be q(2). Let k be (-537)\/o + 8\/6. Suppose 4*u + 3*v = -u - k, -59 = 5*u + 2*v. Is -10 at least u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*o**3 - 3083 - 3393 + 6467.\nAnswer: 10*o**3 - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/64)\/((-310)\/(-1550))*-36?\nAnswer: 45\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20 - -13203101?\nAnswer: 13203121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -1185*b - 48577. Give c(-41).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 4, -5, -15786 in ascending order.\nAnswer: -15786, -5, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 12\/(-4) + 28\/4. Suppose -a*n = -28 - 12. Let h = n - 8. Solve 0 = -h*w + 5 - 15 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14\/(-77) + 26364\/44?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, -163, -5.\nAnswer: -163, -5, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*u**3 + 0 - u**2 - 1 + 0*u**2 - 45*u + 46*u to r*u**3 + h*u + z*u**2 + a and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 76143859747 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 - -95. Does 19 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 376 divided by -4\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -14*g - 15. Let o = -34 - -27. Let d be s(o). What is the tens digit of d - (6 - (-16)\/(-4))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**3 + 5*d**2 - 7*d - 4. Let j be f(-6). Differentiate 0*c**4 + 2*c**4 + j*c**4 - 4 wrt c.\nAnswer: 16*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*r**3 + 0*r**3 + 0*r**3 - r**3 + 0*r**3.\nAnswer: -10*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.036 (b) 4 (c) 1\/3 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 67503171?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -16\/9 in -58, 4, -13.4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 260232 and 24.\nAnswer: 260232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/((-12)\/(-48) + 11\/4). Let k(v) be the second derivative of v**3\/2 + 4*v**2 - 2*v. What is the tens digit of k(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 - 3 + 3)*(-4*k + 3*k - 3*k)*(0 - 1 + 5) as r + v*k and give v.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -5595 divided by 1119?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15 (base 8) to base 7.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 65, 192, 411, 728, 1149, 1680, 2327, 3096?\nAnswer: 3993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7345, 28111, 62721, 111175, 173473, 249615?\nAnswer: 339601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*x - 35*x + 160 = -82*x for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12119 is divided by 1510.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes before 12:01 PM?\nAnswer: 9:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**3 + 4*k**2 - 3*k + 10. Let c be f(-5). Suppose -5*l = -t + 128, 2*l + 3*l + t + 122 = c. Put -5, 0, l, -1 in descending order.\nAnswer: 0, -1, -5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 12, i: 3, u: 1}. What is prob of picking 2 i?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -131\/192 and 79\/31056.\nAnswer: 124224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -74.5 + 73. Put o, 1\/2, 2 in descending order.\nAnswer: 2, 1\/2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-134 - -103 - -45) + (1 - 2) + 77.\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 23 = -p - 1, -4*w = 5*p - 92. Suppose -4*v - v - 4*y + w = 0, -3*v - 4*y = -14. Factor -v*d**2 - 3*d**3 + 4*d**3 + d + 4*d**2.\nAnswer: d*(d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 459 - 313. Suppose -k*u - 81 = -149*u. What is the lowest common multiple of u and 30?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-11)\/(-11))\/(3\/(-39))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -73.44 and -0.034.\nAnswer: 2.49696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 550.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 12 and -0.1.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-378)\/198 - 21\/((-1848)\/80). Let v = 4 + -7. Which is the closest to v? (a) -4 (b) -1\/9 (c) 0 (d) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -79 and 243?\nAnswer: -19197","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -3*q**3 - 91*q**2 + 18528*q + 572450. Calculate n(-31).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 113513 - -15?\nAnswer: 113532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46413*b**3 + 12900*b**3 - 5025*b**3.\nAnswer: 54288*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 416*d**2. Let r(w) be the third derivative of -w**5\/30 - 62*w**2. Determine r(x(l)).\nAnswer: -346112*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -2773 - o + 160*o**2 + 2773 - o as r*o + i*o**2 + m and give i.\nAnswer: 160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 48 + -34. Let p = 16 - l. Put 2\/11, p, 4 in descending order.\nAnswer: 4, p, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-3)*10\/(-80)*360?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -6\/5*n**3 + 2\/5*n**4 + 0*n**2 + 0*n + 0 = 0?\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -0*k + k - 6, u + 4 = -3*k. Let v be 8\/((-1 - k)\/(-1)). Let b(j) = j**2 + 7*j + 10. Let n be b(v). Solve 4*f - 2 = n for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c + 4*c - 50. What is the units digit of 10*-1*(-5)\/c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 370*20\/5920*(-24 + 0)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -199\/510 and (-217671)\/78440*(1\/(-12))\/((-102)\/16).\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -67*d - 32. Let r(y) = -45*y - 32. Give -4*m(n) + 6*r(n).\nAnswer: -2*n - 64","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 50 + -50.00449. What is z rounded to 3 dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -3125283, -3125280, -3125275, -3125268, -3125259, -3125248, -3125235?\n\"Answer: n**2 - 3125284","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 12\/(-8)*((-190)\/45 + 4). Let z be 22\/(-33)*(3*4)\/(-2). Let m = 1 + -0.9. What is the nearest to 1 in y, z, m?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c, 1 s, and 1 k when four letters picked without replacement from secockkkoceos.\nAnswer: 18\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 42660 and 360.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**3\/2 + 13*l**2\/2 - 6*l.\nAnswer: -l*(l - 12)*(l - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 4*x - 34812 = 0, 27*r - 2*x = 26*r + 8700. What are the prime factors of r?\nAnswer: 2, 19, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.2 (b) 5 (c) -0.2 (d) -2\/7 (e) -3 (f) -0.0662\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000633 rounded to 7 decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 4 (b) -0.0353 (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 9*b**3 + b**2 + b + 1. Let z(o) = 17*o**3 + 2*o**2 + 2*o + 2. What is -11*r(n) + 6*z(n)?\nAnswer: 3*n**3 + n**2 + n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 473637?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the second derivative of 5*w**4\/24 + 55*w**3\/12 + 30*w**2 + 143*w - 2. Factor t(c).\nAnswer: 5*(c + 3)*(c + 8)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13514*r**3 - 14387*r**3 + 11422*r**3 + 8207*r**2 wrt r?\nAnswer: 63294","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lxlxllxxllxxlx. What is prob of picking 2 x and 2 l?\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.09, -3934, 0.1 in ascending order.\nAnswer: -3934, -0.09, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.023 + 1.94281.\nAnswer: 1.91981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3086336609 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16 - 13. Put 5, 0, o in increasing order.\nAnswer: 0, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1029, -4126, -9287, -16512?\nAnswer: -25801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1216.741 hours in nanoseconds?\nAnswer: 4380267600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a microgram in nanograms?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*x - 25*x + 11*x - 2 as g*x + u and give g.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*h - 1 = 11*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/6, 2\/5, -22 in descending order.\nAnswer: 2\/5, -5\/6, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 4*i + 1. Let h be a(-4). Let x be ((-10)\/h)\/((-4)\/(-2)). Let g = 194.9 + -195. What is the second smallest value in g, x, 3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i + 218 - 77 = 3*k, -192 = 836*k - 824*k - 5*i for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes before 9:05 PM?\nAnswer: 12:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(3\/10))\/h)**(-17\/3) assuming h is positive.\nAnswer: h**(-17\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28, 20, 10, -2?\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 31058*b - 38818 wrt b.\nAnswer: 31058","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -60 - -64. Is g\/24 - 10397\/(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 46, -3, 2?\nAnswer: 46","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 10884*g - 674799. Calculate y(62).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.1 (b) 0 (c) 0.127749\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 180 = -6*b + 11*b. Suppose -q + 24 - b = 0. What is the common denominator of q and -4\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*i - 59 - i**3 - 6*i**2 + 135 - 78 in the form y + o*i + r*i**2 + d*i**3 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -45 + 49. Suppose -f*l - 66 = 726. Let z = l + 320. Is 14 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 83309917?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -7 + (10 - 2) + 1003. Let t = 1493 - j. List the prime factors of t.\nAnswer: 3, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - b = 137, -2*b - 94 = -2*x - 0*b. Let k(n) = -2*n**3 - 11*n**2 + 5*n - 57. Calculate the lowest common multiple of x and k(-7).\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v\/(v*v**(2\/67)))\/v**(-21))**(3\/53) assuming v is positive.\nAnswer: v**(4416\/3551)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 2*n**2 - n - 104. Suppose h + 3*i = i, 2*h + i = 0. Let y be k(h). Let t = y - -112. Is 8 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1497370 is divided by 57564?\nAnswer: 706","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5403*z**4 + 6917*z**2 wrt z?\nAnswer: 129672*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/(-6)*(-78)\/65?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 2*y - 99*s + 95*s, 5*s = -4*y - 8 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*r**2 - 53*r**4 + 4*r + 127 + 11*r**2 - 130 - r**3 - 4*r to i*r**3 + j + h*r + n*r**4 + v*r**2 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 37961 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1222, 8593, 20872, 38053, 60130, 87097?\nAnswer: 118948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -136 + 40 = -3*j. Is j a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*1)\/(16*(-13)\/(-104)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 11, b: 3}. Give prob of picking 2 b and 2 x.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q - 14 + 49. Does 5 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**5\/5 - 4*p**4\/5 + 22*p**3\/5 + 24*p**2\/5 - 72*p\/5.\nAnswer: -2*p*(p - 2)**2*(p + 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + l)*(-3 + l + 3) + l**2 - 4*l**2 + 2*l**2 + (-31*l + 31*l - 8*l**2)*(9 - 21 - 1) + (-3*l + 0*l + 0*l)*(-2*l + 0 + 0).\nAnswer: 110*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 192 divide 3836?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 261 divide 461574?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 27, 2, -8, -2373 in increasing order.\nAnswer: -2373, -8, 2, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y = 7*y - 6. Calculate the greatest common factor of 2 and y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*o - 7*o + 1320 = 17*o. What is the highest common divisor of o and 330?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 - -13. Calculate the remainder when 15 is divided by 20\/3 - 6\/u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:40 PM and 5:18 PM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 816, 33, -2\/5, 5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6848 and 192.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0347274265 rounded to five dps?\nAnswer: 0.03473","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(2*sqrt(360) - sqrt(360)))\/((3*sqrt(1815))\/sqrt(3)).\nAnswer: -4*sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l = 1540*s - 1541*s + 45, -s + l - 45 = 6*l for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -48 less than -62?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the third derivative of g**4\/12 + 9*g**3\/2 - 623*g**2. Determine o(-8).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -89.625737 - 854982.\nAnswer: -855071.625737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*v - 8*v + 440850 = 0. Let m = -16070 - v. Round m to the nearest one thousand.\nAnswer: 72000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4012*o - 25855 + 25855 in the form t*o + u and give t.\nAnswer: 4012","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 52535?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.4, -10, 3, 0.09, -155, -3?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 + 101?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 10) in base 6?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 10348661117210 and -2?\nAnswer: 10348661117212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6.7 - -7. Let c = 8 - 5. Sort c, 0.4, d.\nAnswer: d, 0.4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-20)\/(f*f*f**2*f)*f\/((f*f\/f**(-17))\/f)*f\/(f*f*(f*(f\/(f*f*f**(-11)\/f*f))\/f)\/f))**(4\/5) assuming f is positive.\nAnswer: f**(-208\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 101603945 to the power of 1\/3, to the nearest integer?\nAnswer: 467","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the first derivative of -4*j**3\/3 + 5*j**2\/2 - 4. Let k be ((-2)\/4)\/((-4)\/368). Let w = k - 50. Let y(p) = -3*p**2 + 4*p. Give w*d(l) + 5*y(l).\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 497, 994, 1491?\nAnswer: 1988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/4 of a millimeter?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-50)\/8 + 2\/8. Let n = f + 52\/9. Let m be (-7)\/12 - (-1)\/3. What is the nearest to m in 2\/7, 1, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11245*v**2 - 5411*v.\nAnswer: -22490","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 37\/5 of a microsecond?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -247*x - 44. Suppose 0 = -4*s - o - 16, s + 1 = 6*s - 4*o. Is n(s) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 25.68 - 25.18. Let b = 1.1 - 0.1. What is the third biggest value in 0.2, b, a?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jejqjuuujjjuqqju. Give prob of picking 2 j and 2 u.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 bigger than 4327\/5547?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s\/(s*s*s*s*s*s\/(s\/((s\/(s*s**(-12)))\/s))))*(s**(2\/11)\/s)\/s)\/(s**(3\/13)*(s*s\/s**(-7\/2)*s)\/s) assuming s is positive.\nAnswer: s**(2417\/286)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1055 and 1992684?\nAnswer: 9963420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p + 11*p - 1320. Let x = 156 - p. Let n = -20 + 38. What is the greatest common divisor of n and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 79012 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28 is divided by 21 - ((-15)\/(-3))\/(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -3 + (6 - (-7 + 4))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4\/8)\/(2\/(-20)). What is the smallest value in 5, 4, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3324*b**2 - 6*b + 5*b + 3303*b**2.\nAnswer: -21*b**2 - b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 5, 2, 1, -18 in increasing order.\nAnswer: -18, 1, 2, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes after 3:12 AM?\nAnswer: 3:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1903000 rounded to the nearest 100000?\nAnswer: 1900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -2280 divided by 240\nAnswer: -19\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 29*o + 11. Let y(w) = -35*w - 13. Let z(i) = 6*a(i) + 5*y(i). Let u(n) = -n**3 + 11*n**2 - n + 1. Determine u(q) - z(q).\nAnswer: -q**3 + 11*q**2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1001 - 26653?\nAnswer: -25652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 94881?\nAnswer: 3, 31627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -120202012310 (base 4) to base 15.\nAnswer: -8707db","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3382717 + -901408.\nAnswer: -4284125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 51843527 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (-8 - -14) - -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/(-3) - ((-488136)\/18)\/4 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1292 - 73. What are the prime factors of v?\nAnswer: 23, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -4*h + 183, 2*z - 123 = -4*h + 35. Calculate the remainder when h is divided by 51\/102 + (-42)\/(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -22*i + 221. Suppose i*h + u = 9*h + 16, -2*u - 8 = 0. What is the least common multiple of 22 and h?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*d - 97 + 328. Let c(n) = 9*n**3 + 21*n. Let l(q) = -3*q**3 - 10*q + q**3 + 5*q + 0*q. What is d*l(z) - 5*c(z)?\nAnswer: -3*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-154)\/(-70))\/((-4895)\/(-6675)). Let q = -19 - -30. Let r = 0.5 + -0.1. Put r, q, a in increasing order.\nAnswer: r, a, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 4499, 8997, 13495, 17993?\n\"Answer: 4498*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1519 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add -4721 and -16073.4.\nAnswer: -20794.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -32230 (base 4) to base 2\nAnswer: -1110101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -141723, -284108, -426495, -568884?\n\"Answer: -i**2 - 142382*i + 660","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 - 3)*(y - 2*y + 2*y) + 0*y - 3*y + 11*y - 44 + 44 + y.\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 103781459.\nAnswer: 29, 31, 67, 1723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/8 of a century in months?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 3*p - 56702, -2*p - 4*s + 33338 = -4496. What are the prime factors of p?\nAnswer: 3, 6301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000111 (base 2) in base 7?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/12 + 17\/(-17)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 w, and 2 l when four letters picked without replacement from sexsswxlzwllexl?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0, -37, 1, -6.\nAnswer: -37, -6, -3, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 3, t: 1, w: 1, a: 1, z: 3, r: 2}. What is prob of picking 1 w, 2 z, and 1 g?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-23)*d**(-2\/9)*d*d*d*d assuming d is positive.\nAnswer: d**(-173\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the third derivative of z**6\/120 - z**5\/60 - 2*z**2. Let f(a) = -4*a**3 + 7*a**2 - 1. Let c(y) = f(y) + 3*o(y). Determine c(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -508*w + 796 = -507*w. Is w a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.3 - -0.224. Put -5, n, -0.5 in descending order.\nAnswer: n, -0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -3*c**5\/4 - 1275*c**4\/2 + 167433*c**3 - 996933*c**2\/2 + 1988751*c\/4 - 165516 = 0.\nAnswer: -1061, 1, 208","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes before 11:32 AM?\nAnswer: 10:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -21\/4 + 99\/16. Find the common denominator of u and 27\/189 + (-214)\/28.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -24*m**4 - 20*m**2 + 61394.\nAnswer: -96*m**3 - 40*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 2*c + 6. Let g be -1*10*(-3)\/(-6). Let q be j(g). What is the remainder when 7 is divided by ((-6)\/4*q)\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = 4*y + 4*g, 6*y - y - 88 = 4*g. Let t be (2\/5)\/(y\/40). Let b be t\/(5 + (-8 - -4)). Calculate the highest common divisor of b and 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1683520 a multiple of 320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(153)\/(sqrt(3) - sqrt(75) - sqrt(3)))\/sqrt(3))**2.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/62058 and -25\/10973923?\nAnswer: 65843538","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + -0.2. What is the biggest value in 2, 2\/5, q?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15 - (41 - 17)) + 21.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001605918 to 6 dps.\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1\/(-2))\/((-27)\/(-12)). Let u(m) be the second derivative of -m**3\/6 + m**2 + 2*m. Let g be u(3). Is o greater than or equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -117106, -117149, -117192, -117235, -117278, -117321?\n\"Answer: -43*m - 117063","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2, 9, 16?\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -3*p**3 + 8*p**2 + p - 5. Let u(s) = -4*s**3 + 9*s**2 + 2*s - 6. Let o(h) = 2*u(h) - 3*y(h). Give o(5).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 24 = x, q + 0*q - 4*x - 6 = 0. Solve -3 = 5*b + 2*f, 2*b + q = -0*b - 2*f for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 10*a**4 - a**2 + 3*a. Let b(q) = -q**4 - q**2 + q. Let v(o) = -3*b(o) + t(o). What is the third derivative of v(g) wrt g?\nAnswer: 312*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:59 PM and 9:54 PM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 9 - 1) + (-7 - (-8 + 8))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 410015 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -49721 or -49723?\nAnswer: -49721","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/5? (a) 2 (b) -2.1 (c) -12 (d) 8 (e) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y when three letters picked without replacement from {y: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 + -2 + (2 - 1). Let z(r) = r**3 + r**2 + 9. Calculate the least common multiple of 6 + -1 - (-1068 - -4)\/38 and z(a).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, b: 4, a: 2, r: 3, k: 2}. What is prob of picking 2 r?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 - -4. Suppose -5*a + z + 55 = x, a = -4*z + 43 - 11. Suppose -3*f - 2*y + 2 = 0, 2*f = -2*y - 2*y - a. Solve -2*t + 3*t + f = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 777 and 333.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes after 9:08 PM?\nAnswer: 3:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - 1. Which is the closest to 1? (a) 2 (b) 14 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*k**5 - 58*k**4 - 9*k**3 + 2*k**2 + 601494*k wrt k.\nAnswer: 80*k**3 - 696*k**2 - 54*k + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -6*l + 3. Suppose 0 = -11*z + 10 - 21. Let y(f) = f - 1. Determine z*q(n) - 5*y(n).\nAnswer: n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 7a9b13 (base 12) in base 15?\nAnswer: 28c940","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**2 + 11*y - 2. What is b(-9)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 - 7) + 5 + -1. Let w be (-15)\/9*-3*8\/(-20). Put -12, -4, w, o in descending order.\nAnswer: w, o, -4, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 800, 13, 788, 5 in descending order.\nAnswer: 800, 788, 13, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(5760) + 2*sqrt(5760) + sqrt(40) + sqrt(40))\/sqrt(8) + -3)**2.\nAnswer: -76*sqrt(5) + 7221","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4199 - 4199. Solve 3*k - 2*f = 5, s = 2*f + 2*f - 20 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -272 in -6, -0.2, 681, 3, -3?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1343 - -9399\/7. Let i = -0.1 + -0.1. What is the closest to g in -0.5, i, 1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1127571723?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -4203 (base 7) to base 11\nAnswer: -111a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6447 smaller than 6446?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19 - (3 + (15 - 7 - 19)) - -3?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5\/(-5) - 1*-1. Suppose k = -2*n + 3*x + 388, 4*n - 2*x - 772 = 3*x. List the prime factors of n.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1\/505, 4, -4.\nAnswer: -4, 0, 1\/505, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 335687?\nAnswer: 11, 30517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1\/(-1))\/(8\/(-80)). What is the highest common divisor of 15 and f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1758652798?\nAnswer: 2, 7, 125618057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4 or -8.66?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4 - (25\/(-10))\/(5\/(-4)). Calculate the least common multiple of 8 and (-6)\/(((-2)\/(-40))\/(p\/(-12))).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -503*l + 197*l + 129132 = 0. What is the remainder when l is divided by 65?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/(6\/2) + 8. Let q(g) = -4*g + 7 - n + 6*g. Let r(o) = o**2. What is r(q(a))?\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0027953 to 5 dps.\nAnswer: 0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**22\/(q**(1\/26)*q*q)*(q\/(q\/(q*q**(-1\/11))))**(-5\/13))**29 assuming q is positive.\nAnswer: q**(162661\/286)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:28 PM and 10:13 PM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -784, -1739, -2694?\n\"Answer: -955*f + 171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 17832.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 278942556?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 2*n + 2, 5*t = -3*n + t - 8. Suppose -n*u - 8 = 8. Let z = -3 - u. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**3 + 2*n - 12. Suppose 135 = 40399*q - 40426*q. Calculate f(q).\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/29484 and -53\/213444.\nAnswer: 24972948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49783279 is divided by 8297210?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 46, -1, -128 in decreasing order.\nAnswer: 46, -1, -2, -128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddpd when four letters picked without replacement from dddddpdd.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 7 + 2)*(-2*q**5 + 3*q - 3*q) + (6 - 2 - 2)*(18*q**5 - 19*q**5 - 29*q**5).\nAnswer: -72*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-24)*-3)\/((-10)\/10).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of j**5 + 6292288*j**4 + 472*j - 3605.\nAnswer: 20*j**3 + 75507456*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1739, -6419, -14241, -25199, -39287?\nAnswer: -56499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 843 in -2, -11, -0.5, -3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-45)\/(-225) - (-57)\/15.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1312 = -5*q + 1402 for q.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.35072008605 rounded to four dps?\nAnswer: -0.3507","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-30)\/24)\/(1\/(-4)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11303 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 2*v**2 + 47*v - 30. Calculate t(-24).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/5*(-24080)\/(-903).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5499)\/(-325) + (6\/25)\/3.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33735715 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -2*j - 4*v - 12, -j + 5*v = -21 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -0.4 (b) -3\/14 (c) 200\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the second derivative of 2*i**7\/189 - 2*i**6\/135 - i**5\/9 + 5*i**4\/27 + 8*i**3\/27 - 8*i**2\/9 - 1127*i. Find l, given that c(l) = 0.\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20231 (base 4) to base 15.\nAnswer: -272","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(-1485)\/(-18)*60\/900?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 8 times 0.05472\nAnswer: 0.43776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -496449 = -27*h - 54*h. List the prime factors of h.\nAnswer: 3, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 240 and 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 45, -1, 3, 7, 46, -1\/9, 0.07 in ascending order.\nAnswer: -1, -1\/9, 0.07, 3, 7, 45, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 320db (base 16) to base 12\nAnswer: 9a78b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 18, -2, 3 in increasing order.\nAnswer: -2, 3, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 10 - 15499*t**3 + 7*t**4 + 15499*t**3 + (4*t**2 - 4*t**2 + 2*t**4)*(-3 + 1 + 1) as v + w*t**3 + n*t**2 + a*t + x*t**4 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*p - 1479 + 1429. What is the greatest common factor of 445 and p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 77*w - 32. Let o(g) = -39*g + 18. Give 4*n(p) + 7*o(p).\nAnswer: 35*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the second derivative of 0*c**3 - 3\/40*c**5 - 2*c + 0 + 0*c**2 + 1\/8*c**4. Factor w(p).\nAnswer: -3*p**2*(p - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 4938266418?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -21 + 20. Let a(w) = -8*w. Let h(j) = j. Give n*a(f) - 3*h(f).\nAnswer: 5*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -26 - 76.\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 20 = 0, 22*f - 26*f - 4*z - 284 = 0. Is 3981 - (2\/(-2) + f\/(-22)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 37774, 75507, 113240, 150973, 188706, 226439?\nAnswer: 264172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 - -2) + (1 - 1). Let f(m) = 10*m**2 - 123*m + 0 - d + 123*m. Suppose 0 = 3*x - 5*j - 2, 3*j + 0 + 7 = -4*x. What is f(x)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(180) - (-1 + sqrt(180))**2))*-6 + (-4*((sqrt(450) - (sqrt(450) + 2*sqrt(450))) + sqrt(450)))\/(sqrt(90)\/(sqrt(36)\/sqrt(4))).\nAnswer: -96*sqrt(5) + 1056","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/5, -2\/27, 16, 1.1?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 180343917 - 180343917 + 7386*j**2 - 7387*j**2.\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, q: 4, u: 3, l: 1}. Give prob of sequence uu.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 39151 to the power of 1\/2, to the nearest integer?\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -49*i + 1177. Determine f(24).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a factor of 289770?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 12\/8*(-1 + -4 - (-590)\/120)\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**2 + 10*h - 9. What is l(6)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from cccccccccccccccccycc?\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 6*z**2 + 14*z + 1. Let h(p) = -5*p**2 - 14*p. Let k(d) = 5*g(d) + 4*h(d). Let a be k(-3). What is the greatest common factor of a and 424?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the second derivative of -s**5\/10 + s**4\/4 - s**3\/6 + 8*s. Suppose i = -2*i + 6. Determine p(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2172539 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 18, 1, 0.9, 1.77 in descending order.\nAnswer: 18, 1.77, 1, 0.9, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 48494937?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84*l - 79*l = -4*v + 45, 0 = 3*v - 5*l + 10 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*p**2 - 5*p**2 - 2 + 0)*((-1 + 2 + 0)*(0 + 0 + 2*p**2) - 3*p**2 + 5*p**2 - p**2) as v*p**4 + g*p**3 + l*p**2 + k + j*p and give l.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6\/(-16))\/((-9)\/2). Let n = -4\/59267 - 2784597\/14105546. Let o = 3\/34 - n. Which is the nearest to o? (a) u (b) 1\/5 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in 1, 0.08072, 0, 0.3, -1\/2, -0.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4728 = -34*k - 1192. What is the remainder when 820 is divided by k?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1*6*(-2)\/4. Suppose -17 - z = -5*h. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 28811 - 23713. Calculate the remainder when c is divided by 34.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-10)\/15 + (-2705)\/(-3). Let m = f - 602. Suppose 3*d = p + m, -2*d + 6*p + 206 = 2*p. What are the prime factors of d?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 5*v = -10, -10 = 5*t - 2*t - 5*v. Suppose t = -5*p + 15, 3*f + p = -f + 515. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 + 23*y**3 - 5 - 14.\nAnswer: 23*y**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the second derivative of -7\/6*a**3 + 40*a - 1\/2*a**2 + 1\/20*a**5 + 5\/12*a**4 + 0. Determine x(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -124*p + 3594 = 718 - 542 - 1046 for p.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4 + (6\/(-1))\/(-3). Let f(a) = -3*a**2 + 8*a + 7. Let j(m) = -6*m**2 + 15*m + 13. Let q(w) = u*j(w) - 11*f(w). Let q(i) = 0. Calculate i.\nAnswer: -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(204) - -2*(sqrt(204) + -1*sqrt(204) + sqrt(204)))\/(1*sqrt(12)*5).\nAnswer: -4 + 3*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Do -155459 and -155365 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 5)\/(-92*(-10)\/4600).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -450*m - 5396. Let d be l(-12). Let n(t) be the third derivative of -1\/6*t**3 + 4*t**2 + 1\/12*t**5 + 5\/24*t**d + 1\/120*t**6 + 0*t + 0. What is n(-4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12248 - 23320 = -132*m + 448*m + 308*m for m.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 68813745 to the nearest integer?\nAnswer: 8295","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 173*b + 233121 = 352*b - 172*b. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*i*z**2 + i*z - 2*i + 323898*z**2 - z + 619 wrt z?\nAnswer: -14*i + 647796","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.1291 rounded to the nearest integer?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*m - 3*m - m)*(-3*m**3 + m**3 + 3*m**3) + 43*m**4 - 87*m**4 - 86*m**4 to the form h*m**2 + c*m**4 + w*m**3 + d*m + k and give c.\nAnswer: -131","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 24052?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 165*y - 2. Let n(s) = 83*s - 1. Determine -2*d(k) + 5*n(k).\nAnswer: 85*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p - 2*v + 85590, 10*p + 4*v + 21411 = 11*p. Is 21 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 285375121 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(1\/4)\/s)**15\/((s**(3\/2)\/s)\/(s**5\/s))*s**(2\/19)\/(s*s*s**3)*s**(-7)\/((s**(-1\/5)\/s)\/s) assuming s is positive.\nAnswer: s**(-6629\/380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000014017 rounded to six dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 76032624 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 656 + -653. Put 2, -2\/13, 3\/5, s in decreasing order.\nAnswer: s, 2, 3\/5, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 53.71 + -43.553. Round l to zero dps.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 10*l - 20. Calculate the remainder when c(6) is divided by 22.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 13 and 5?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**3 + 8*h**2 + 10*h + 15. Let t(p) = -9*p - 7. Let o be t(0). Let v be u(o). Put 19, -4, v in ascending order.\nAnswer: v, -4, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the third derivative of n**8\/6720 - n**7\/2520 + n**4\/24 + 4*n**2. Let v(a) be the second derivative of r(a). Determine s so that v(s) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**2 - 7*f - 2. Let n be l(-5). Let g(i) = i**3 + 7*i**2 + 6*i + 3. Let o be g(-6). Solve n*q = o*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7 and 357379127?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 93, -5 in ascending order.\nAnswer: -5, -3, 93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(25) - (sqrt(25) - (sqrt(625) + sqrt(25)))*2)\/(sqrt(45)\/(sqrt(9) + sqrt(45)\/sqrt(5))))**2.\nAnswer: 9680","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 440 or 3078\/7?\nAnswer: 440","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 166642.421 to the nearest 100.\nAnswer: 166600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of f**2*h**3*i - 25*f**2*h - 3*f**2 + 6240083*f*h**3*i + 141*f*h - f*i wrt h.\nAnswer: 6*f**2*h*i + 37440498*f*h*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10481 is divided by 93.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 3*s**2 - 2*s - 1. Let l = 86 - 88. Determine x(l).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -2*v**3 - 1289*v**2 - 667*v - 14805. What is g(-644)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.06 - 0.07. Which is the second biggest value? (a) 2\/11 (b) -2\/9 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 67*g - 31*g - 31*g)*(6*g**4 - 3*g**4 - g**4).\nAnswer: 10*g**5 + 4*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -4*w, -3*t - 60*w + 55*w = -18 + 6 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) 99 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 22 - 23. Let v be (-4 + 4 - 0)*k. Let s = 3 - 1. Solve -3*h + s*h = v for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 2*i + 31. Let h be c(-9). Suppose q + 4*v = -667, h = -3*v + 4. What are the prime factors of 4\/8 - q\/10?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t - 27. Suppose -207*l - 388*l = 890 + 895. Give g(l).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -2*a**2 + 6*a - 5. Let d be u(12). Let z = d - -221. Solve -5*s + 0 + 10 = z for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-124)\/279*(-15)\/4\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 18, 1, 3 in ascending order.\nAnswer: 1, 3, 7, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7977, -15953, -23931, -31911, -39893?\nAnswer: -47877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -36, -1, -3, 492, -4, 0 in increasing order.\nAnswer: -36, -4, -3, -1, 0, 492","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 - -4. Let c = -3 - z. Let v = 18 + c. Which is bigger: v or 9\/2?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**3 - 4*x**2 + 8*x + 9. Calculate w(-4).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 2*o + 4*i + 12 = 0, 0 = -3*o - i + 4. Suppose -s + o*s = -3*y + 4, 7 = 5*s + 2*y. Suppose q - 7 = s. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*o**4\/2 - 7863*o**3 + 3432198*o**2 + 2291628*o = 0. What is o?\nAnswer: -2\/3, 0, 874","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14 - (-31 - 9)) + -41?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 8, 4, -3, -213, -134 in increasing order.\nAnswer: -213, -134, -3, 2, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 884 and 286.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**2 + 11*g - 5. Give d(11).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j = 5*f + 9, -5*f - 3 = 3*j - 1 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*j - 9*j - 2200 = 0. Let n = -1928\/7 + j. Which is the third biggest value? (a) n (b) -1 (c) -0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h + 2*h - h)*(-1 + 2 + 0) - 4*h + 3*h - 8*h - 1 + 5 - 6 + 27*h.\nAnswer: 20*h - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 851415?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 122 divide 361405358?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 2*d - 6 = -7*d, 5*d - 15 = -5*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 408 a factor of 535335168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3182059 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -59745*d - 20. Let b be t(4). Let i be b\/(-3)*60\/(-2). Round i to the nearest 100000.\nAnswer: -2400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -23106, -39, 113 in descending order.\nAnswer: 113, -39, -23106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*(d\/d**(-5))\/d*d)\/d*d\/(d**(-5)*d)*d*d\/(d*d**(-6))*(d*d**(1\/5)*d*d)\/d)**(7\/5) assuming d is positive.\nAnswer: d**(707\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*k + 0 + 0)*(-2 + 2 + k) + 5*k - 5*k - 3*k**2 - 24*k**2 + 10*k**2 - 7*k**2 in the form s*k**2 + h*k + x and give s.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15704.061 + -15667. Let o = g - 37. What is o rounded to 2 decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.173 + -0.202. Round x to two dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -18, -53, -108, -183, -278, -393?\n\"Answer: -10*t**2 - 5*t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -1. Let l(r) = 2*r + 6. Let z be (2\/(-10))\/(1\/(-5)). Let o(j) = z*l(j) + 5*x(j). What is the derivative of o(q) wrt q?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.9 * -0.17\nAnswer: 0.153","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - 2*n - 1096, n = -3*n - 12. Is s 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 1:07 AM and 6:02 AM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**3 - 49*b + 2. Let n be l(7). Let z be (6 - 6)\/((-3)\/6*4). Sort 5, n, z, 4 in decreasing order.\nAnswer: 5, 4, n, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -4*t**2 + 24*t + 2. Calculate q(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7957.\nAnswer: 73, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -216d (base 16) in base 12?\nAnswer: -4b51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1652265 a multiple of 114?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 2*p = 0, 4*v = 3*v - 4*p. Solve 20 + v = 4*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f. Suppose 0 = -120*s + 87*s - 198. Let p(g) = 2*g**3 - 6*g. Calculate s*r(n) + p(n).\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*z**5 - 636*z**4 - 7623*z**3 + 17034*z**2 - 10995*z + 2232 = 0. What is z?\nAnswer: -31, -24, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -2*g**2 + 16*g - 34. Calculate h(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 less than 12.23104458?\nAnswer: 12.23104458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 4*o**2 - 64*o + 112. Let s(p) = p**2 - 16*p + 27. Let i(j) = 9*s(j) - 2*y(j). Give i(13).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 81\/14884 and 29\/18605?\nAnswer: 74420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**2 + 3*x + 1. Let s be b(-3). Find the common denominator of s - 39*(-6)\/171 and 43\/5.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -3039, -3, -2 in decreasing order.\nAnswer: -2, -3, -10, -3039","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.386019 + 0.42457. Round y to 3 dps.\nAnswer: 0.039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**2 - 20*i - 64. Let m be p(-16). Suppose 4*c - 3*d - 68 = 0, 5*c - 4*d - 25 - 61 = m. Calculate the greatest common factor of c and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 49*q - 53*q + 928. Calculate the highest common divisor of 8 and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -232*z + 738*z + 754*z + 93*z.\nAnswer: 1353*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**3 - 5*f**2 + 2*f - 7. Let x(p) = -p**2 + 12*p - 8. What is the remainder when c(7) is divided by x(7)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 185 - 216. What is the common denominator of -37\/277 and f?\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -7*t + 14. Give q(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q + 4 - 8. Suppose t = -8 + 3. What is the closest to 0.1 in q, 0.1, t?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -25, -32890 = 25*g - 20*g - 2*l. What is the hundreds digit of (4\/8)\/((-5)\/g)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, -1, 0.3, -90, 10.47, 0.\nAnswer: -90, -1, -2\/11, 0, 0.3, 10.47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 14 + -2 + -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5051 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/((65\/(-195))\/((-2)\/(-102))).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2282*j**3 - 2*j**2*o - j**2 + 135*j + 164767*o - 35 wrt j.\nAnswer: -6846*j**2 - 4*j*o - 2*j + 135","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, h: 3, k: 1}. What is prob of sequence uh?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h - h - h)*(1 + 1 + 0).\nAnswer: -8*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 5*m - 9. Suppose 4*d - 106 = 2*b, -5*d + 8*b = m*b - 140. Solve -y + d = -5*l, l - 3*y + 5 = -0*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (18\/5)\/((-20)\/(-4100)). Suppose 4*f = 6 + t. Is f a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*c**3 - 2304 - 86539*c**2 + 9032 + 89660*c**2 wrt c.\nAnswer: -9*c**2 + 6242*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (15\/(-6)*2\/(-5))\/(-1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 12 times 42332150\nAnswer: 507985800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6874*n - 6878*n + 7*n**3 + 13752*n.\nAnswer: 7*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 9 = 3*m, -5*i + 5*m - 8 = -3. Let b = i - -6. Let f be (-8)\/(-70) - 4\/10. Is b at most as big as f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 12 = 2*p, 7*p - 30 = 2*p - 3*w. Let n(r) = 7 + r**3 + 0*r**3 - 4*r - p*r**2 + 3*r. What is the units digit of n(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 + -48.2?\nAnswer: -48.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 133544 rounded to the nearest one hundred?\nAnswer: 133500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 - -3) + 2 + -5?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -50217, -100431, -150645?\nAnswer: -200859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -16, -22, -10, 26, 92, 194, 338, 530?\n\"Answer: v**3 + 3*v**2 - 22*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-216504)\/(-9424) - 9\/342*-1\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 5.205772 decades?\nAnswer: 0.05205772","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 5 and 34599.614.\nAnswer: 34604.614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -282096 - 215257 = -123*j - 99694. What is the thousands digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -2*g**3\/7 - 2*g**2 + 34*g\/7 - 18\/7 = 0.\nAnswer: -9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 - 1498 = -5*t. Does 33 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**2 + 6*j. Let h be u(-7). Let f(x) = -7*x + 8*x**2 + 2 - 3 + 6 - x**3. What is f(h)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88*y = -463*y - 2027*y + 148924 for y.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 20\/3*6\/(-5). Let r be v\/9 - (-8)\/36. Let x be (-7)\/2*2\/2 - -3. What is the third biggest value in r, x, 0.4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 81 - 20. What is the tens digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - -5) + -3 + 4 + -5 + 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m - 1. Let j(v) = 4*v + 5. Let l(z) = -10*c(z) - 2*j(z). Let b(s) = -21*s**2. Calculate l(b(x)).\nAnswer: -42*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8655*t - 12918*t - 81665*t.\nAnswer: -85928*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(500)*1 - (sqrt(500) + (sqrt(500) - (sqrt(500) - sqrt(500)*2*-2))))\/(-6*-2*sqrt(324)*-2))**2.\nAnswer: 125\/576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*r**2 + 16*r**2 + 79*r**2 - 6*r**2.\nAnswer: 87*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r - 9*r + 12. Suppose t - 2 = -g + 8, t + 3*g - 20 = 0. Suppose 0 = t*x - 26 + 1. Solve x = -3*s + r*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 (base 11) in base 8?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - 3*x + 4. Suppose x*h + 10 = -2*s, -h + 17 = -4*s - 6*h. Does 6 divide 26\/(3 + (s - -2))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1080 and 24.181.\nAnswer: 26115.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 389 = 8*u + 437 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10155900*n + 10155900*n + 2*n**2 + 896)*(n**3 - 1 + 1).\nAnswer: 2*n**5 + 896*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 10:17 AM?\nAnswer: 11:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.26279764 to two decimal places.\nAnswer: -0.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 4*p = 30, -36*p + 38*p + 51 = -5*h for h.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 282 - 306.2. Round j to the nearest integer.\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 59922, 239397, 538522, 957297, 1495722, 2153797?\nAnswer: 2931522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 6) in base 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 - 155*w**2 + 99 + 297*w**2 - 144*w**2 + 4*w.\nAnswer: -2*w**2 + 4*w + 114","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.0061601 and -113786561.\nAnswer: -113786561.0061601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (7 - (3 + (7 - 7))).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1558 and 1767?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2504 + -2509. Suppose 4 = 3*m - 2. Let v be 0\/(-1 + m - -1). Put -6, k, v in decreasing order.\nAnswer: v, k, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -36*w**2. Let c(y) be the third derivative of y**6\/720 + 7*y**4\/12 - y**3\/3 + 2*y**2 + 19. Let g(o) be the second derivative of c(o). Give g(b(f)).\nAnswer: -36*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -2*a - 13. Let p = -105 + 95. What is n(p)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 5 + 1)*(w**2 - 10*w + 0*w**2 - 2*w**2) in the form h*w**2 + f*w + d and give f.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = b + 14, 4*w = -0*w - 5*b + 26. Put w, -1, -2 in descending order.\nAnswer: w, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**2 - 8*r - 14. Give l(10).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes after 1:43 PM?\nAnswer: 2:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -9*u + 6. Let f be z(-1). Suppose 5*h = n - 370, n - 2*n = -5. Let c = f - h. What are the prime factors of c?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -52.6 - -61. Let q = t - 8.40000025. Round q to 7 dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**2 - 3*f - 2. Let i = -39 + 39. Let d be 6 - (3 + -3 + i). What is h(d)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 1 = d, -3*d - 2*v = v - 3. Suppose -d + 5 = 2*g. Suppose -2*i = 6*p - g*p - 2134, i - 1067 = 3*p. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 9*w - 7*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*x**2 + 23*x**2 + 4*x**2 - 17*x**2 + 9*x**2 - 9*x.\nAnswer: 17*x**2 - 9*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(-33))\/(864\/(-2376))\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -15*f**4\/7 - 18*f**3 - 183*f**2\/7 + 216*f\/7 + 108\/7 = 0?\nAnswer: -6, -3, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 47709 <= 47709?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 23*-130257\nAnswer: -2995911","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 48161 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13.707 + 0.773. Let s = i + -14. What is s rounded to one decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*-5*sqrt(2)*2*-3 + -1)*6)**2.\nAnswer: 10800*sqrt(2) + 1620036","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 82 - (14 - ((11 - 11) + -4 + -9 + 22))?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**3 - 6*o**2 - 24*o + 28. Determine r(9).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes after 4:43 PM?\nAnswer: 10:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes after 12:29 PM?\nAnswer: 11:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 121 = 2*k, -2*k - 18 = -o - 137. Let z = k - -84. What is the highest common divisor of z and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes before 11:26 AM?\nAnswer: 10:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47334 + 15800 + c + 15770 + 0*c + 2*c + 15764.\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 2*i - 6. Let m be y(3). Solve -13 = -b + 2*a - 6, -b + 4*a + 15 = m for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -16*s + 36. Let k(w) = 3*w - 7. Let m(h) = 2*g(h) + 11*k(h). Let j be m(18). Solve -5*o - j = f, -2*f - 1 = -o - f for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-15)\/2*(-33)\/(660\/1216). Calculate the greatest common divisor of 57 and j.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10907, -10789, -10671, -10553, -10435?\nAnswer: -10317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 598 (base 12) in base 6?\nAnswer: 3512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -6*i**3 + 120*i**2 + 6*i + 48. What is h(20)?\nAnswer: 168","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/11)\/((-60)\/(-40))?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 divided by 369.\nAnswer: -3\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 74762 rounded to the nearest 10000?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhbbblh. What is prob of sequence bl?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17 + -10. Suppose 0 = -5*t + l + 43, -2*t - l + 10 = -5*l. Suppose 4*x - i = t. Is x a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01814915 to 5 decimal places.\nAnswer: -0.01815","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*s + 2*s - 4 - 7*s)*(7*s - 7*s - 5*s).\nAnswer: -5*s**2 + 20*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1802*y**4 + 42586*y**3 + 289570475*y**2?\nAnswer: 43248*y + 255516","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 z when two letters picked without replacement from {z: 2, c: 2, k: 9}.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/(-27) - 10\/(-6)*(-36)\/270. Factor -3\/2*x**3 - x - 9\/4*x**2 - 1\/4*x**4 + w.\nAnswer: -x*(x + 1)**2*(x + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from {u: 9, w: 3}?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - 4. Let v be (-3)\/(-2)*4\/m. Which is bigger: v or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -2*x**3 + x. Let p(k) = 55*k**3 - 5*k - 107. Let a = 301 - 296. Let j(b) = a*r(b) + p(b). What is the first derivative of j(n) wrt n?\nAnswer: 135*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 414?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1025022 a multiple of 81?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -3\/19882 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 874 - 54187\/62. Let s = -172\/93 + b. What is the common denominator of s and -119\/10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (x + 1 - 1 + x + 0*x + x + (-4 + 3 + 2)*(-2 + 2 + 2*x))*(-3*x - 2*x - 2*x) to the form t*x + r*x**2 + a and give r.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -81*k*y**2 + 3*k*y + 1696*k + 4*y**2 - 4*y + 1 wrt y?\nAnswer: -162*k*y + 3*k + 8*y - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-28)*g*g**21\/g*(g**(1\/4))**(-43) assuming g is positive.\nAnswer: g**(-71\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 6*i + 9*i - 7 = 0, -f + 2*i - 8 = 0. Suppose -f*y = -4*k - 1024, 5*y + 2*k - 3814 + 1194 = 0. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.074 times -1.3?\nAnswer: 0.0962","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 68 - 67.6. What is the nearest to -2\/5 in -1\/12, -1, g?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1)\/(-2))\/(1\/10). Suppose -b = 2 - h. Let n(t) = t**3 - 2*t**2 - 3*t - 4. What is n(b)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15.118431 months to millennia.\nAnswer: 0.00125986925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11197 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-70)\/(-140) - 15\/27.\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 552337?\nAnswer: 643, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:27 AM and 7:23 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -53 - -25. Let r = -0.506546 + -27.485754. Let c = r - y. Round c to three decimal places.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2013537660.\nAnswer: 2, 3, 5, 359, 93479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -235 + 252. What is the highest common divisor of 272 and a?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes before 2:43 PM?\nAnswer: 6:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/12*(-9336)\/(-21784).\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 0*r**3 - 1\/2*r**4 - 7\/4*r**5 + 0*r**2 + 0*r.\nAnswer: -r**4*(7*r + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 29 and 86919?\nAnswer: 2520651","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 22 = -21 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5) - sqrt(1620)) + sqrt(500)*3)**2.\nAnswer: 845","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11555 + -11553. Which is the second smallest value? (a) 0.6 (b) i (c) -5 (d) -0.211 (e) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 343*p**2 - 118*p**2 - 2 + 0 - 1 in the form o*p + s*p**2 + d and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 84 and 389028.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-47*h - 61 + 61)*(h + 4*h + 14*h)*(-53 - 15*h + 53) as l*h**3 + d*h + m + i*h**2 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 302 + -131. What is the greatest common divisor of d and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 4*n - 133. Let c(g) = 17*g - 531. Let w(v) = 2*c(v) - 9*x(v). What are the prime factors of w(25)?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 4*f**3 + 8*f**2 + 2 - 4*f**2 + 2*f - 3*f**3 - 2*f**3. Suppose -3*y + 2*y + 55 = 0. Let o = -51 + y. What is n(o)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2020*k + 1004*k + 119 = -1009*k for k.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 27770?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 972 and 20?\nAnswer: 4860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -2*o**2. Suppose -2*g - 4*n + 5 = -5*n, 2*n + 6 = 2*g. Suppose -2*i = -1 - 5. Let t(v) = -v + g*v - i*v. Calculate w(t(b)).\nAnswer: -8*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.2693*0.32\nAnswer: -0.086176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17762346 and 366?\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9\/37150361 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*t**2 + 4*t**2 - 2*t**2)*(-27*t + 10*t + 0*t)*(0*t + 2*t - 4*t) as m*t**4 + u + x*t**3 + j*t**2 + s*t and give m.\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, -5, -2, -8, 13 in decreasing order.\nAnswer: 13, 11, -2, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 24334.0166 - 24329. Let n = o - 0.0166. Let g = -3 - -3.4. Which is the biggest value? (a) -4 (b) g (c) n (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*d + 42 = -22*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are 426458 and 2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.425941803 to 5 decimal places.\nAnswer: -0.42594","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1887097712 to the power of 1\/2, to the nearest integer?\nAnswer: 43441","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07396543911 rounded to 4 decimal places?\nAnswer: 0.074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -195279928*b**2 - 93055752*b wrt b?\nAnswer: -390559856","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = -5*i + 51 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*(37\/12 + -3). Let v(u) = -u**2 - 8*u - 8. Let t be v(-6). Sort -1\/4, p, t in increasing order.\nAnswer: -1\/4, p, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2100241341 + 0?\nAnswer: 2100241341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -9786*t. Let p(w) = -39*w. Determine p(z(b)).\nAnswer: 381654*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:13 AM and 11:12 AM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12772 and 96.\nAnswer: 306528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 113174 to the power of 1\/3, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -65772000 to the nearest 100000.\nAnswer: -65800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12498 and 12?\nAnswer: 24996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -84836834 bigger than -84836828?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 161 a factor of 13264?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*n + 58*n - 20 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 - -bc8a9?\nAnswer: bc8a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 124 is divided by 31 - (72\/(-3))\/(-6)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (8\/(-16)*2\/(-8))\/(3\/24). Sort q, 2, 41 in ascending order.\nAnswer: q, 2, 41","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*h + 3 + 10 - 5*h + 6*h.\nAnswer: -5*h + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 5*k. Let x = 6 - 6.2. Which is the second smallest value? (a) x (b) -4 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**2 - 642*o - 27416.\nAnswer: -(o + 46)*(o + 596)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 245 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.5 + -0.3. Let v = -18\/13 - -244\/195. What is the nearest to 0 in n, v, -2\/11?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 2, -3\/4, -1\/98, -26?\nAnswer: -1\/98","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 85 and 534990.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*j + 0*j + j + (4 - 4 + 3*j)*(-4 - 6 + 6) - j + 3 - 3 - 5*j + 4*j + 3*j + (-2*j + j - j)*(0 + 3 - 1) in the form h*j + w and give h.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(68) - -4*4*sqrt(68)))\/(sqrt(324)*-2 - sqrt(20)\/sqrt(5)*-3).\nAnswer: 34*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1627780 a multiple of 755?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 3*y - 24. Let d be 0 - ((-6)\/(-2) - y). Let n = d + 12. What are the prime factors of n?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/(14\/(-3))*(-8)\/21?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 79 and 1343.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 118 + -3?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**3 + 1533*i**2 - 783363*i + 133432831.\nAnswer: -(i - 511)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 + 6. Suppose 21 = g*y + n + 6, 3*y - 9 = -n. What is the third derivative of 2*x**2 - 5*x**2 - 8*x**5 + 2*x**y - 2*x**3 wrt x?\nAnswer: -480*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 460, 461, 462, 463, 464?\nAnswer: 465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 73420.64mg?\nAnswer: 73420640000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -7393 equal to -7393?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 4*n - 10 + 18 = 0, -12 = 5*c - 2*n for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**2. Suppose -4*l - 46 = 2*y, -5*l - 57 = y + y. Let r(u) = 14*u. Let x(h) = -5*h. Let c(d) = l*x(d) - 4*r(d). Give m(c(z)).\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -252568, 0.233, -1\/2, 0.5?\nAnswer: 0.233","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**1\/h*h**(-1))\/(h\/((h**6\/h*h)\/h)*h*h*h**2*h*h)*h\/(h*h**4*h)*h**6*((h*h**(-7))\/h)\/(h*h*h**(-7)*h) assuming h is positive.\nAnswer: h**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 8, -4*w = -w - 2*i + 11. Let b = 7 + -3. Sort b, 3, w.\nAnswer: w, 3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -3*m + m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 66c (base 15) to base 2.\nAnswer: 10110101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87*s = -5*z + 84*s + 2, 3*s + 5 = 2*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-63)*225\/(-15))\/(1\/12)\nAnswer: -20\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 28 and 18088?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9626449 is divided by 294?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, -0.369, 0.9?\nAnswer: -0.369","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 33.871059005 + 0.128935795. Let z = -34 + u. Round z to 6 decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -9 + (-49 - -40)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.05 * 1032.\nAnswer: -51.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(40)\/(sqrt(8) - 3*sqrt(32)))**2.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {j: 1, h: 1, b: 2, e: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**3 - 15*d**2 - 9*d + 2. Suppose 8 = -2*a, 3*o - 24 - 8 = -4*a. What is the remainder when b(o) is divided by 2\/(-3) + (-356)\/(-12)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 134*q**2*r**3 - 3*q**2*r - 17435*q*r**3 - r**3 - 56*r**2 + 1741 wrt r?\nAnswer: 804*q**2 - 104610*q - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = d + 2, -5*d = g + 3*g - 53. Suppose 0 = w - g + 4. Suppose -2*p - 7 = -l + 6, 0 = 5*l - 2*p - 33. Calculate the remainder when l is divided by w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/(-33)*(-2)\/4. Let l = 14\/33 - z. What is the biggest value in l, -4, -5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14763 by -31.\nAnswer: 14763\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*r - 4*s = 119, -3*r - 1032*s + 1031*s = 6 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.3264 to two decimal places.\nAnswer: 0.33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 0.16, -1\/7, -30?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -6731070, -6731060, -6731050, -6731040, -6731030, -6731020?\n\"Answer: 10*u - 6731080","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 510, 2036, 4580, 8142, 12722?\n\"Answer: 509*g**2 - g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -868*b - 231 = -460*b - 429*b for b.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 34 + -32. Solve d + 12 = -g*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -2*a**2 - 16*a - 8. Let l be d(-7). Suppose b + l*b = 1414. List the prime factors of b.\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.145 + 1.145. Which is the closest to 1\/3? (a) 14 (b) -0.3 (c) 3 (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11400133 - 1?\nAnswer: 11400132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from tttktkk?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 110*a**2*w**2 + 68736359*a**2 - 2*a*w - 56429*w**2 wrt w?\nAnswer: 220*a**2*w - 2*a - 112858*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -16 + (9425\/(-4745) + (1 - -11) - 18\/(-3))\nAnswer: 1\/73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69738.\nAnswer: 2, 3, 59, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**2 - 3. Let x(p) = 4. Let i(r) = -3. Let f(u) = -5*i(u) - 4*x(u). Let n(q) = -6*f(q) + 2*s(q). Let v(l) = 4*l**2 - 3*l**2 - 3*l**2. Give v(n(y)).\nAnswer: -8*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16 + ((-16)\/4)\/((-89)\/356))\/(1\/4).\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 710, 709, 708?\n\"Answer: -k + 711","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Do 108301292 and 108301289 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 942084 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**3 + 3*g**2 + 11*g - 3. Suppose 14*v + 26 = 96. Let p be f(v). What is the third derivative of 21*n**p + 9*n**6 - 189*n**5 + 189*n**5 wrt n?\nAnswer: 1080*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9655\/22 or -440?\nAnswer: -440","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -121225 (base 6) to base 8.\nAnswer: -24661","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 5*a - 22. Suppose -b + a = 4*y, y = 2*y + b - 1. What is the third biggest value in y, 3\/5, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-185)\/225 + 2\/9. What is the third smallest value in -3\/4, 4, x?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + 11 = -5*x - 24, 2*a - 10 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a centimeter in micrometers?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4230264.\nAnswer: 2, 3, 176261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7 and 9.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/(16\/(-2))*(-2)\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/34 - (-7126)\/(-119). What are the prime factors of (z\/5)\/(((-12)\/134)\/3)?\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 172?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -6*b**2. Let x(w) = 125*w**2 + 2*w - 3. What is x(t(h))?\nAnswer: 4500*h**4 - 12*h**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2)\/14 - (-183150)\/210.\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (35*r**2 - 35*r**2 + 5*r**3 + (5*r + 3*r - 5*r)*((12 - 12 + 7*r)*(-r + 0*r + 3*r) - 1 + 1 - 2*r**2))*(-5 + 5 - 2*r).\nAnswer: -82*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the first derivative of n**3\/3 + n**2 - n + 39. Let l be v(-3). Suppose -l*r - r + 1158 = 5*p, 4*p - 932 = -r. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -238*r - 19079 = -116183. Calculate the greatest common divisor of 1176 and r.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -330 - -340. What is the least common multiple of 1800 and c?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 5*j + 423. Let f = 51 + j. Suppose -5*g + f = -21. Is g a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3358538.\nAnswer: 2, 61, 27529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -2*i**3 - 28*i**2 + 42*i - 342. Calculate n(-16).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13 - -18. Suppose 4*h - 84 = -r*v, h - 6*v = -2*v. Let y(d) = -d + 4. Let m be y(2). What is the highest common factor of h and m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5226.236 - -5212. Round h to one dp.\nAnswer: -14.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqxn when four letters picked without replacement from nxqxnqqnq.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-215)\/(-86))\/(((-435)\/36)\/1)?\nAnswer: -6\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 259\/(-222)*(-12)\/56\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-4)*-7*6\/(-21).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 2*z. Let y(i) be the second derivative of i**3 - 15*i**2\/2 - 172*i. Let x(u) = -2*n(u) + y(u). What is x(10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 49 = 3*t, -8 = t - 5*s - 39. Let z = 18 - t. Let d = z - -1. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 + (-17 - 1 - -34).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 338 is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 10736\/(-154) + (-2)\/7. Let w be (-22)\/h + (-18)\/30. What is the smallest value in -0.5, -3\/8, w?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(550\/(-18)) - 89\/((-47971)\/(-196))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 + -1. Suppose r*b = 7*b - 20. Let a = -4 - -10. Calculate the smallest common multiple of a and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -275148 (base 10) to base 13\nAnswer: -98313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/(-21)*1*(-9)\/6.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8539010?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 6*c**2 - 66*c + 360. Let w(h) be the first derivative of -11\/3*h**3 - 721*h + 30 + 66*h**2. Let f(x) = -5*u(x) - 3*w(x). Factor f(j).\nAnswer: 3*(j - 11)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 2 v when three letters picked without replacement from nnvovoooooon?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -97.071 + 0.071. Let p = h - -97.0063. Round p to 3 decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -12*y - 53. Is n(-22) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1457 is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 133 a factor of 142213?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2211 - -2229. What is the greatest common divisor of 5958 and c?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -35075.4 from -0.2.\nAnswer: 35075.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 54, 364, 880, 1602, 2530, 3664?\nAnswer: 5004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p = p - 2*h + 22, -2*p = -5*h + 19 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -239 + -6 - (871 + -1004)\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*y + 34*y - 18*y)*(-y**4 + y - y).\nAnswer: -y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(-2\/3))**(1\/4)\/(y\/y**(-3)*y**7) assuming y is positive.\nAnswer: y**(-127\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 825.7268 millennia?\nAnswer: 9908721.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -48*o**2 + 57. Let f(j) = 95*j**2 - 115. Let m(p) = 6*f(p) + 11*w(p). Differentiate m(r) with respect to r.\nAnswer: 84*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c when three letters picked without replacement from {c: 7, a: 3, v: 2, i: 5}?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are -81.2 and 695 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 379*((-18)\/15)\/(-6). Let v = 76 - g. Let b = 0.8 + -0.8. What is the closest to v in -1, b, 4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1342161 is divided by 22?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 184 - 184. What is the closest to y in 2\/7, 8, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20, -59, -114, -191, -296, -435, -614, -839?\nAnswer: -1116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -39.7 - -34. Let h = 6 + c. What is the smallest value in h, 4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -1 (b) -5 (c) 2\/5 (d) 4\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 26*x**2 + x. Let h(d) be the third derivative of d**5\/30 - 37*d**2. Calculate c(h(f)).\nAnswer: 104*f**4 + 2*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-92)\/10 - 1\/(-5). Calculate the remainder when 17 is divided by ((-6)\/v)\/((-4)\/(-54)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence avl when three letters picked without replacement from {c: 2, a: 1, v: 4, l: 8, g: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -58. Let r(x) = -x + 2515. Determine 8*c(y) + r(y).\nAnswer: -y + 2051","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, y: 10, r: 4, k: 2, p: 1}. What is prob of picking 1 q, 1 r, and 2 y?\nAnswer: 30\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -143\/114 and 14093\/(-67830) + 7\/(98\/2).\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/53 and 37\/8.\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1101, 5 in decreasing order.\nAnswer: 5, 1, -1101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**2 - s - 1. Let b(u) = 18*u**3 - 38*u**2 - 3*u - 3. Let d(v) = -b(v) + 3*o(v). What is the third derivative of d(l) wrt l?\nAnswer: -108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13033 - 12130111?\nAnswer: -12111012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 5*n - 28. Calculate f(11).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 3*f - 18, 0 = f + 2*z + 1 + 3. Suppose -f*r + 3 + 7 = 0. Solve -5*v + r = 5*d, 2*v - v + 1 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 933*p - 871. List the prime factors of g(10).\nAnswer: 11, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 2*h - 5*o = -27, 2*h + 20 = 4*o. Sort -456, -1, h in ascending order.\nAnswer: -456, h, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 - ((-29 - -13) + 11 + -3)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -175 (b) 0 (c) -1 (d) 3 (e) -5 (f) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13*u + 49 - 10 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -2*x**2 + 85*x - 303. Let v be j(37). Let q = 92 - 79. Calculate the greatest common factor of v and q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -852942 divided by -4?\nAnswer: 426471\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2152089 to the nearest integer?\nAnswer: 1467","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -160.626 or 0.1?\nAnswer: -160.626","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 2 - 2 = 0. Let x = i - -23. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 12 + 72 = 0. Suppose -y + 4*y = h. Let d be (6\/y)\/((-6)\/2). Which is bigger: d or -2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**2 + 8*r + 1. Let v(m) = m**2 + 9*m + 2. Give 4*l(d) - 3*v(d).\nAnswer: d**2 + 5*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -65\/2 + 33. Let v = 49\/5 - 52\/5. Let k = 30\/13 - 124\/65. Which is the closest to k? (a) y (b) 3 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3760526 to the power of 1\/2, to the nearest integer?\nAnswer: 1939","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 3*x**3 - 2*x + 1. Let g be l(1). Solve -g - 6 = 4*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = y + 17 - 55, 4*y - 158 = -5*w. Suppose -j = 2*j - y. List the prime factors of j.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**3 + 13*b**2 + 11*b - 9. Suppose -36 = 3*v - 2*a, -2*v = -5*v - 3*a - 36. Let u be f(v). Suppose 0 = c + u*c - 236. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 463*r + 1857. Let t be p(-4). Let b(h) be the second derivative of 1\/8*h**2 + 1\/48*h**4 + 0 - t*h - 1\/12*h**3. Suppose b(s) = 0. Calculate s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/(-7))\/((-74)\/(-259)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 92, 292, 624, 1088, 1684, 2412?\n\"Answer: 66*t**2 + 2*t + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2298878*u**4 + 27*u + 784.\nAnswer: 27586536*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rv when two letters picked without replacement from rzyvyrryrvttztzvzvt?\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g = 8*g + 5*d + 2347, 4*d = -12. Let t = -1163 - g. Let y(l) = -l + 6. Let i be y(5). Solve -2*f = t + i for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42057409411 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 12 = -2*k, -3*k = -5*m - 2. Suppose m*g - 764 = -4*r + 4*g, 3*g - 977 = -5*r. List the prime factors of r.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 x when four letters picked without replacement from xxxhxhxhxhhxhxhhxh.\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.01 + -0.01. Let f be ((-2 - -4)\/22)\/((-5)\/(-155)). Let d = f + -89\/55. Sort 0.5, t, 2, d in decreasing order.\nAnswer: 2, d, t, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10371140 to the power of 1\/2, to the nearest integer?\nAnswer: 3220","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-36) + 1\/(-36)*-1\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 35*g + 39*g - 119*g + 43*g + 53. Determine q(24).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -381115, -762287, -1143459, -1524631, -1905803, -2286975?\n\"Answer: -381172*z + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 18999962 to the power of 1\/4, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-24)\/14)\/((-37)\/10360). Let d = l + -464. Solve -6*p - d = -2*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -130, -255, -380, -505, -630?\nAnswer: -755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 2*f = -10, 43*q = 42*q + 2*f + 9 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes after 6:33 PM?\nAnswer: 11:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of p**2\/2 + 10*p + 2. Let n = -5 - -12. Does 10 divide f(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -2\/21 (b) 12\/11 (c) 0.096\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12 + -27. Let g = p - -20. Solve 4*r - 13 = -g*c + 22, 5*r + 4*c - 37 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**2 + 7*q - 6. Let k be p(-8). Suppose -y - k*w + 14 = -0, 4*w + 52 = 2*y. Calculate the highest common divisor of y and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the second derivative of c**3\/3 - c**2\/2 - 20*c + 1. Give s(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16006800740.900134 - 16007518968.2. Let r = x + 718239. Let p = r - 11.7. Round p to five decimal places.\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**2 - 65*w - 660. Determine h(74).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 27 = -4*r. Suppose m + r = 2*t + 21, -2*t = -5*m + 44. Factor 4*f**2 - m*f**4 - 4*f**5 + 0*f**2 + 4*f + 2*f**2 + 2*f**2.\nAnswer: -4*f*(f - 1)*(f + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -4 - 0) + 0 + -1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 9933 divided by 150\nAnswer: 3311\/50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 + -8084187.\nAnswer: -8084186.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y**4\/19 + 1984*y**3\/19 + 128716*y**2\/19 - 263376*y\/19 + 132678\/19 = 0 for y.\nAnswer: -63, 1, 1053","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4050661 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1a8 (base 12) to base 2\nAnswer: 100010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 76*w + 73*w - 4097 = 0, -3*n - w + 3076 = 0. What is the remainder when n is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 825679 is divided by 34?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9090 + -9090.0013388. What is a rounded to five decimal places?\nAnswer: -0.00134","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 4*v**2 - 5*v. Calculate f(4).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16161 - 8061. Does 122 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, x: 7}. Give prob of sequence xx.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k + 1. Let y(h) = h + 2. Let n be y(5). Let i be b(n). Let a = i + 12. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -97, -185, -265, -331, -377, -397, -385?\nAnswer: -335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 53352.3l?\nAnswer: 53352300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 420916 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 53\/4 of a gram?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -85377528*p**5 + 4796*p**2 - 309*p + 2 wrt p?\nAnswer: -5122651680*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -2 times -47.6062\nAnswer: 95.2124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j**5\/4 - 43*j**4\/4 - 45*j**3\/4 + 43*j**2\/4 + 11*j = 0. What is j?\nAnswer: -1, 0, 1, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15 - -8. Let a(y) = y**3 + 7*y**2 - 3*y - 8. Let m be a(t). Suppose n + 2*n + 5*f = 253, 107 = n - 4*f. What is the greatest common divisor of n and m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2601 - 907 + 2641717*k**4 - 2641715*k**4 - 2277 + (4*k - k - 2*k)*(-3*k**3 + 4*k**3 + 2*k**3) as x*k + j*k**3 + a*k**4 + i*k**2 + h and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10 by 4264.\nAnswer: -5\/2132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 2 + 1 = 0. Suppose -7 = -5*w + k. Let p be (26000\/(-12))\/(w\/(-24)). What is p rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 63 - 42. Calculate the highest common divisor of 231 and w.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49253 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**3 - 2*o - 4. Let f(u) be the first derivative of u**4 - 4*u**2 - 17*u - 1. Let m = 524 - 515. Let h be (4\/(-6))\/(2\/6). Determine h*f(c) + m*w(c).\nAnswer: c**3 - 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y + 1 - 21. Suppose 4*n - 5*n = 3. Sort y, n, -1.\nAnswer: n, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 290945, -843, -3 in decreasing order.\nAnswer: 290945, -3, -843","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m**3 + 6348*m**2 - 19072*m + 12720 = 0. Calculate m.\nAnswer: -1590, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -14*t + 69. Give y(-8).\nAnswer: 181","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 - -2.1. Let v be (-154)\/(-90) + (-24)\/15. What is the nearest to v in -3, b, 2\/3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -2*y + 26, -3*y - 2*u = -u - 39. Suppose 2*n - y = 3. Solve -4*t + 0*t - n = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 47, 27, -5, -55, -129, -233?\nAnswer: -373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/16 and 53\/9564.\nAnswer: 38256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 355, 371, 399, 439, 491, 555, 631?\n\"Answer: 6*i**2 - 2*i + 351","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, y: 7, g: 3, w: 2, s: 2, u: 5}. Give prob of picking 1 s, 1 g, 1 w, and 1 y.\nAnswer: 28\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/u**21)**(-32))**(-1\/2))**(2\/91) assuming u is positive.\nAnswer: u**(-640\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -1\/3, -3, -4, 2\/11, -0.2, 2\/5, 98\/5?\nAnswer: 98\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*y - 3047*u + 3050*u = 254, -3*y + 377 = 4*u for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3 + 5*v**2 + 2*v - 1. What is g(4)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**3 - 7*f**2 - 5*f. Calculate a(-4).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 23646825887 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3220172*x + 2825582 wrt x?\nAnswer: 3220172","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 4, 3, -2.\nAnswer: -11, -2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -27*i**2 + 12*i + 52. Give y(-3).\nAnswer: -227","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:35 AM and 11:44 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 3*i**4 - 17460*i**3 + 3628761*i**2 + 14742144*i + 11095920 = 0.\nAnswer: -3, -1, 220, 5604","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/15 - 3864\/(-630). Let i(l) = 37*l**3 + 7*l**2 - 7. Let q(x) = 36*x**3 + 6*x**2 - 6. Determine a*i(w) - 7*q(w).\nAnswer: -30*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 353 = -4*x - 95, -2*x - 334 = -3*g. What are the prime factors of g?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from rpgwprwwwgwrwggpwrw?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert e44 (base 15) to base 8.\nAnswer: 6216","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 22*s**3 + 837*s**2 + 17*s - 798.\nAnswer: (s + 1)*(s + 38)*(22*s - 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3253?\nAnswer: 3253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 14672010?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2\/9 - 44*s\/9 - 80\/9.\nAnswer: -2*(s + 2)*(s + 20)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 252*c + 21. Let z(g) = -46*g - 4. Let o(x) = 4*b(x) + 21*z(x). Let y(r) be the first derivative of 2*r**3\/3 + 1. Determine o(y(h)).\nAnswer: 84*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c - 4*z + 16 = 0, -c - 5*z - 1 = 7 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/33 - ((-53)\/11)\/1. Let y = 4 + -3. Suppose -x*g = -4*r + 145, g - y = 2*g. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 1 = 5. Let q = -2 + n. Let x = 162 + -1617\/10. Is x less than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.649208s to microseconds.\nAnswer: 7649208","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 5*v - 3*v + 2*v**2 - 3*v + 11*v**3. Let r be d(1). Let l = r + -10. Let n(o) = -o + 1. Calculate n(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -437*l**3 - 69*l**3 - 1812*l**3.\nAnswer: -2318*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.47682 to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13822481 is divided by 24.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1320 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*s + 52 = -289. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1546 is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 - -1)\/(2 + -3). Let x be 5*(4 - (3 + y)). Calculate the highest common factor of x and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 7, j: 2}. What is prob of picking 2 l?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 667*w + 817 = 72*w + 4513 + 4634 for w.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -111*c**2. Let s(p) = -1982*p. Give s(i(b)).\nAnswer: 220002*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 5 - 11)*(4*w + 0*w - 2*w) + 0*w + 0*w - w - 7)*(-w + 0 + 0).\nAnswer: 21*w**2 + 7*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.24 - 0.26. Let h = -33 + 38.2. Let x = h + -1.2. Which is the nearest to -1? (a) x (b) 1\/5 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -851702 divided by -127\nAnswer: 851702\/127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = x + 2*x + 4*r, -r - 4 = -4*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -602\/17, 1\/312, 0.84, 0.2 in descending order.\nAnswer: 0.84, 0.2, 1\/312, -602\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 3720 = 27*t. Calculate the least common multiple of 45 and t.\nAnswer: 1395","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -2*i + 17. Give p(9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 670*f + 4980. Let w(p) = 1339*p + 9959. Let a(d) = 3*w(d) - 5*y(d). What is the first derivative of a(b) wrt b?\nAnswer: 667","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.45 in 3\/8, 1\/5, -3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 take away -22.749104672?\nAnswer: 36.749104672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-30)*1*3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 122330 and 1690.\nAnswer: 1590290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:54 AM and 1:56 PM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 55 = -3*h, j - 2*h = -0*h + 50. What is the greatest common divisor of 392 and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 27 + -16. Suppose -3*k - 19 = -3*s + f, -2 = k + s. Let r be 3\/9*-4*k. Solve -36 = -4*d + 4*c, -7 = 3*c + r for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -624*m**3 - 54*m**2 - 18. Let v(h) = h**3 - 3*h**2 - 1. What is -f(g) + 18*v(g)?\nAnswer: 642*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 4*y**2 - 18684*y + 37352 = 0?\nAnswer: 2, 4669","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73*l + 222*l - 813308 = 1714924. Calculate the least common multiple of 2 and l.\nAnswer: 16968","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 23 = -9. Let z(y) = 2*y**3 + 48*y**2 - 110*y - 48. What is the remainder when z(-26) is divided by c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 6 = 2*i. Let n(w) = -w. Let z be n(-3). Suppose 0 = -2*a + x + 12, -3*a + 0*a + 5*x = -11. Solve a = z*o - i for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 2*u**2\/9 - 102362*u\/9 - 409544\/3 = 0.\nAnswer: -12, 51193","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7677*m + 14 = -7676*m for m.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 5685921?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-7) - 152\/(-7). Suppose -k - s = -3*k. Calculate the highest common divisor of 11 and k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 160 + 3873?\nAnswer: 4033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 143*j**2*v**3 - 5*j**2*v + 6*j*v - 55*v**4 wrt v?\nAnswer: 858*j**2*v - 660*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*d**2*o**3*q - 14*d**2*o**3 + 2*d**2*o**2*q + d**2*q - d*o*q + 4*o**2*q wrt o.\nAnswer: 24*d**2*q - 84*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69006 - 34511 - 34456 - 15*q**3.\nAnswer: -15*q**3 + 39","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -6574 divided by -329?\nAnswer: 6574\/329","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttt when three letters picked without replacement from {z: 1, f: 2, t: 10, y: 3}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -305391 - -80391. Round m to the nearest 10000.\nAnswer: -230000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*d - 19*d - 8 + 33*d)*(-5 - 1 + 4).\nAnswer: -16*d + 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 63 + (-16 - (-33 - -17) - 5) + -12\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -353 + 366 - ((-5 - -5) + -26)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 75 + 15 = 0. Suppose -3*x + b = 6. Solve 4*d - 17 = 3*k, -4*d + 2*k = x - 17 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 227, 465, 709, 959, 1215, 1477?\nAnswer: 1745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28880532?\nAnswer: 2, 3, 19, 42223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -10888, -10705, -10530, -10369, -10228, -10113, -10030?\n\"Answer: -l**3 + 2*l**2 + 184*l - 11073","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**2 - 10*a - 4. Let i be l(9). Let h = 18 + i. Solve d + 0 = h for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 370*n + 4050. What is h(-11)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 86405747 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -10*g - 7. Let p = -6589 - -6595. Let y(o) = -1. Give p*y(i) - r(i).\nAnswer: 10*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 21 = 2*m. Suppose 7 - m = 3*y. Solve y = 4*n - 5*d + 7 - 22, -d + 26 = 5*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1809, 5052, 8297, 11544, 14793, 18044?\nAnswer: 21297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + 12. Let l = -4 + s. Suppose 0 = -b + l*b - 55. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2548?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 9*b + 9. Let r(f) = -2*f**2 - 4*f + 5. Let n be r(-3). Let d be o(n). Suppose 2*t + 16 - 58 = d. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6873456577 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r. Suppose -5*o + 0*o - 249 = -3*v, 5*o - 415 = -5*v. Suppose 9*u - v = -29. Let y(f) = -u*f**2 + 3*f**2 - f + f. Give y(c(b)).\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - (-6 + (5 - 2))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 977155, 1954348, 2931567, 3908806, 4886059?\nAnswer: 5863320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n + 0 + 0)*(0 + 13 + 7).\nAnswer: 20*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33163 is divided by 158.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -3862537.24 to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -40918174*r**4 + 38681021*r?\nAnswer: -491018088*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -8*z**3 + 6*z**2 + 14*z - 9. Let k be r(10). Let l = -71269 - k. 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: 48\/(36\/9)*8\/((-96)\/(-18))\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/5, 3, -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 t when two letters picked without replacement from {o: 1, i: 1, c: 1, e: 1, t: 5, h: 3}?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 295?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - 3*a + 26. Suppose -a + 19 = 2*l. Is 35 a factor of ((-1 - 100) + 0)*(2 - l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20\/72)\/5 - ((-687764)\/(-72))\/(-121).\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 187 and 68.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from {v: 6, i: 4, j: 1}.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11088 - 157847 = -29*n + 31243. Is n a multiple of 78?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -634*w + 1889. Determine x(3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 34136\/3 + -11366. Let x(h) be the first derivative of -31\/5*h**5 + 0*h**4 - q*h**3 + 0*h + 0*h**2 - 13. Find the third derivative of x(t) wrt t.\nAnswer: -744*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9109384?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 255\/35 - 7 - 225\/(-21). Suppose 9*u = -f*u + 116740. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 + 10*h**2 + 13*h + 6. Let k be s(11). Suppose 2*j = 4*i - k, -2*i + 7*i - 5*j - 40 = 0. Let f(g) = g - 4. What is f(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1135)\/(-7) + ((-20)\/35)\/4. Calculate the highest common divisor of 27 and z.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a = -a + 392. Does 8 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-11)\/h*h\/h**(1\/8) assuming h is positive.\nAnswer: h**(-89\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -63999, 0, -6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, i: 2, b: 1, f: 1, x: 5, y: 5}. What is prob of picking 1 y and 1 z?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/12 and 1 + 0 - 165\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1935*a**3*q**2 - 2*a**3*v**3 - a**2*v**3 - a*q**2*v**3 - 34*a - 8*q**2*v**2 wrt a.\nAnswer: -11610*q**2 - 12*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 3*y + 2 - 9)*(-2*y**2 + 2*y - y + 0*y).\nAnswer: 6*y**3 - 7*y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 286?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1434563 is divided by 1434537?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -16, 5*x - c - 2 = -3*c. Suppose x*b + 7 = 2*i - 1, 5*i - 3*b = 14. What is the least common multiple of i and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25460 is divided by 1818?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 12145, 12740, 13333, 13918, 14489, 15040?\n\"Answer: -m**3 + 5*m**2 + 587*m + 11554","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 + 24. Let h = 40 - b. Calculate the remainder when h is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6439502 is divided by 860.\nAnswer: 682","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (425\/(-910) - (-6)\/14)*(-8 - -4)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l**2\/9 - 172*l\/9 + 112\/3 = 0.\nAnswer: 2, 84","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*v + 18*v + 106 = 0. Let h(u) = -52*u**3 - u**2 + 12*u + 28. Is 13 a factor of h(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 54597093 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiicciciicciiiciici. Give prob of picking 3 c.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the third derivative of -l**6\/120 - 3*l**5\/20 - l**4\/6 + 2*l**3 - 8*l**2. Let w(t) = -9*t**2 - t + 1. Let u be w(1). List the prime factors of i(u).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 - (-8)\/(3 + -1). Suppose o*m + 4*c - 144 = 2*m, -2*m + 77 = 3*c. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) 16 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*d - 20 = -5*x, -21*d + 19*d + x - 4 = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 - 12. Let c = -0.054 - 0.046. What is the smallest value in c, d, -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 33*b**2 + 2015*b - 6317. Determine r(3).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19087744?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -476 (base 13) to base 2\nAnswer: -1100000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17 - 23*n**3 - 17 + 13*n**3 + 13*n**3.\nAnswer: 3*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/(-3))\/(3\/(-36)). Let a(t) = 1 - 1 - r - t. Give a(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (0 + sqrt(175))**2)*-6.\nAnswer: -1074","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**3 - 54*p**2 - 5561*p - 106864. Determine j(-22).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 74598*1.01.\nAnswer: 75343.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**3 - 25*l**2 + 49*l - 61. What is w(23)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/(-8 - 6 - -12)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -248, -242, -234, -224, -212, -198?\n\"Answer: z**2 + 3*z - 252","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + -42f1?\nAnswer: -42ef","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1198 - 1197. Let y = -1\/107 + 115\/856. What is the closest to c in 0.4, -2\/7, y?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 49*k - 33. Let c(x) = x - 1. Let r(o) = -2*c(o) - d(o). Is r(-8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 104085?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the second derivative of 475*y**3\/2 - 37*y**2\/2 - 2*y - 80. Is o(6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -984*k + 649 + 719 + 495.\nAnswer: -984*k + 1863","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - n - 83, 2*y + n = 20 + 9. Suppose 4 = g - 2*g. Let r be (y\/4 - 6)\/g. Is r greater than -1.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 13 + 17*k**2 + 4 + k**3 - 20*k + 0 + 6 + 0. Determine i(-18).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -79 (base 13) to base 4.\nAnswer: -1210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(896) - sqrt(224)*-4)\/(6*5*sqrt(1152)).\nAnswer: 7*sqrt(7)\/90","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -288 + 284.98. Let q = t - -0.02. Put -4, q, 3 in ascending order.\nAnswer: -4, q, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-5) - (69\/(-15) + 2). Suppose 0 = -d*t - 8*t + 440. Calculate the highest common factor of t and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/4, 1, 3, -5 in decreasing order.\nAnswer: 3, 1, -3\/4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/12)\/(27\/999)*(30 - 26)\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 5*w + 2*q = 988, -2*q + 16 = 0. Calculate the greatest common factor of 567 and w.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*a + 2597 = -2*a. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 17 (b) 1 (c) -11201\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 10*i = 7*i + 2720, -5*o + 5*i + 6775 = 0. Does 32 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s = -g + 5, -4*s + 5*g + 7 = -5*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 16 = -0*n, -4*n + 9 = -j. Solve 11*g + 4 = j*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8836427 to the power of 1\/6, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.2 + 5.2. Which is the third biggest value? (a) 1 (b) t (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1262\/15 - 84. Let h = 734 + -732. Which is the third biggest value? (a) -3 (b) 3 (c) h (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 202121000 + -202001?\nAnswer: 201211222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((4 + sqrt(80) + (-5 + 2 + sqrt(80) - sqrt(80)) - -4*(sqrt(80) + 3*sqrt(80) + -4))*-6)**2.\nAnswer: -73440*sqrt(5) + 840424","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from ehhehejjejjeejjeh?\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 132\/55*((14\/7)\/(-4))\/(-1)?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*y**4 - 88*y**3 - 46*y**2 + 88*y + 72 = 0.\nAnswer: -2, -18\/13, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -63\/2 and -95\/974.\nAnswer: 974","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 380287293?\nAnswer: 3, 47, 2697073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 69*t**2 - t - 1. Let w be f(-1). Round w to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 46 - 42. Which is the smallest value? (a) d (b) -2 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (6*(-30)\/(-45))\/14. Which is greater: v or -264.6?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91*c + 144*c - 297084415 = 0. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 42*b**4 - 103*b**2 + 4*b + 1370436 wrt b?\nAnswer: 168*b**3 - 206*b + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.4 (b) 1\/42 (c) 11\/9 (d) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3795261 or 3795262?\nAnswer: 3795262","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 13102390*z - 19393611 wrt z?\nAnswer: 13102390","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the first derivative of n**2\/2 + 34*n - 75. Let w(c) be the third derivative of c**4\/12 - 3*c**2 - 20. What is w(u(p))?\nAnswer: 2*p + 68","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 30.17 + -30. Let u = -0.33 - q. Which is the nearest to -0.1? (a) -5 (b) -2 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -28 - -20. Let x = -8.5 - f. Let n = -41 + 37. Which is the third smallest value? (a) 2 (b) n (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2019639?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 18737?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 14 = 2*v, -5*a - 2*v + 0*v = -38. Suppose -6 - 3 = 3*n, -5*t + 4335 = -5*n. Suppose 2*d + t = a*d. Round d to the nearest 10.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 7*z. Let g(d) = d + 15. Let s be g(z). Calculate the highest common factor of 120 and s.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -7*v**3 - 5*v**2 - 3*v + 6. Let z(m) = 6*m**3 + 5*m**2 + 2*m - 6. Let u(g) = 5*i(g) + 6*z(g). What is the units digit of u(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 119*v = -117*v - 2, w + 2*v = -1. Let n(t) = -t + 36. What is n(w)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}